{"id":13946,"date":"2024-08-13T12:41:02","date_gmt":"2024-08-13T12:41:02","guid":{"rendered":"https:\/\/hri.bigzero.co.in\/?page_id=13946"},"modified":"2024-12-05T07:22:16","modified_gmt":"2024-12-05T07:22:16","slug":"degree-programe-m-sc-maths","status":"publish","type":"page","link":"https:\/\/hri.bigzero.co.in\/hi\/\u0917\u0923\u093f\u0924-\u090f\u092e-\u090f\u0938\u0938\u0940-\u0921\u093f\u0917\u094d\u0930\u0940\/","title":{"rendered":"Degree Programe M.Sc Maths"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"13946\" class=\"elementor elementor-13946\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-08acafc e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"08acafc\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-329df61 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class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b8e9a6 elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"8b8e9a6\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"#\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-far-hand-point-right\" viewbox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M428.8 137.6h-86.177a115.52 115.52 0 0 0 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10.745-24 24-24 24 10.745 24 24z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Programme Is Proposed To Start In 2025-2026 Academic Year.<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b8765c4 elementor-widget elementor-widget-text-editor\" data-id=\"b8765c4\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Admission Through Nationwide <a href=\"https:\/\/www.imsc.res.in\/~nbhm\/\" target=\"_blank\" rel=\"noopener\">National Board of Higher Mathematics (NBHM).<\/a><\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dcd9791 elementor-widget elementor-widget-heading\" data-id=\"dcd9791\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Duration:<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c92a608 elementor-widget elementor-widget-text-editor\" data-id=\"c92a608\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>One year \/ Two years<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-90cf679 elementor-widget elementor-widget-heading\" data-id=\"90cf679\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Our Offering: <\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7bc9383 elementor-widget elementor-widget-text-editor\" data-id=\"7bc9383\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Students Completing 3 Years Of Undergraduate Studies Can Apply To Our 2 Years M.Sc. Programme (With An Exit Option At The End Of The First Year). This Programme Starts From 2025-2026 Academic Calendar.<\/li><li>Students Completing 4 Years Of Undergraduate Can Apply To Our 1 Year M.Sc. Programme. This Programme Will Start From 2026-2027 Academic Calendar.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-46563a1 elementor-widget elementor-widget-heading\" data-id=\"46563a1\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">How to Apply :<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2495e43 elementor-widget elementor-widget-text-editor\" data-id=\"2495e43\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Apply to NBHM Scholarship Written Test (on 25\/01\/2025) (<a href=\"https:\/\/www.imsc.res.in\/~nbhm\/\" target=\"_blank\" rel=\"noopener\">www.imsc.res.in\/~nbhm\/<\/a>)<\/li><li>Shortlisted Students (According To The Cut-off Set By The HRI) Will Be Called For A Written Exam.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7f93607 elementor-widget elementor-widget-heading\" data-id=\"7f93607\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Students Entering In Year I Can<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-70f2411 elementor-widget elementor-widget-text-editor\" data-id=\"70f2411\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Exit After One Year With An M1 Diploma.<\/li><li>Exit After Two Years With A Two Year M.Sc. Degree.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b6cb689 elementor-widget elementor-widget-heading\" data-id=\"b6cb689\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Students Can Enter In Year II<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ac7513b elementor-widget elementor-widget-text-editor\" data-id=\"ac7513b\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Exit After One Year With An M2 Degree.<\/li><li>This Programme Will Start From\u00a02026-2027\u00a0Academic Year.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6a27df8 elementor-widget elementor-widget-heading\" data-id=\"6a27df8\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/hri.bigzero.co.in\/wp-content\/uploads\/2025\/01\/msc.pdf\" target=\"_blank\" rel=\"nofollow\">Details Of The Curriculum<\/a><\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a4b8743 elementor-widget elementor-widget-text-editor\" data-id=\"a4b8743\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Course Curriculum Aims To Be More Research-oriented.<\/li><li>Well-blended Between Mandatory And Optional Courses.<\/li><li>Expected To Write A Master&#8217;s Thesis At The End, Under Faculty Supervision.<\/li><li>No Tuition\/semsester Fee\u00a0Will Be Charged From The Students.<\/li><li>Proposal For\u00a0Scholarship\u00a0Is Under Process.<\/li><li>The Degrees Will Be Granted By The\u00a0<a href=\"http:\/\/www.hbni.ac.in\/\" target=\"_blank\" rel=\"nofollow noopener\">\u092a\u0940.\u090f\u091a.\u0921\u0940. \u0909\u092a\u093e\u0927\u093f \u0939\u094b\u092e\u0940 \u092d\u093e\u092d\u093e \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0938\u0902\u0938\u094d\u0925\u093e\u0928 (HBNI) \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964<\/a><\/li><li>There Are Provisions For The Students Who Excel In These Programs To Advance To Our Ph.D. Programme.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/div><div class=\"tab-content tab-dab0945\"><style>.elementor-16086 .elementor-element.elementor-element-7e71c72{--display:flex;--flex-direction:row;--container-widget-width:initial;--container-widget-height:100%;--container-widget-flex-grow:1;--container-widget-align-self:stretch;--flex-wrap-mobile:wrap;--background-transition:0.3s;--margin-top:0px;--margin-bottom:0px;--margin-left:0px;--margin-right:0px;--padding-top:50px;--padding-bottom:10px;--padding-left:0px;--padding-right:0px;overflow:visible;}.elementor-16086 .elementor-element.elementor-element-94041e7{--display:flex;--background-transition:0.3s;overflow:visible;}.elementor-widget-text-editor{color:var( --e-global-color-text );font-family:var( --e-global-typography-text-font-family ), Sans-serif;font-weight:var( --e-global-typography-text-font-weight );}.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:var( --e-global-color-primary );}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap, .elementor-widget-text-editor.elementor-drop-cap-view-default .elementor-drop-cap{color:var( --e-global-color-primary );border-color:var( --e-global-color-primary );}.elementor-16086 .elementor-element.elementor-element-92a213c > .elementor-widget-container{margin:-9px 0px 0px 0px;padding:0px 0px 0px 0px;}.elementor-16086 .elementor-element.elementor-element-92a213c{text-align:justify;color:#000000;font-family:\"Inter\", Sans-serif;font-size:16px;font-weight:400;line-height:30px;}.elementor-16086 .elementor-element.elementor-element-efa5bf0{--display:flex;--background-transition:0.3s;overflow:visible;}.elementor-16086 .elementor-element.elementor-element-70ae91e .elementskit-accordion .elementskit-card-header>.elementskit-btn-link{font-family:\"Inter\", Sans-serif;font-size:16px;font-weight:600;}.elementor-16086 .elementor-element.elementor-element-70ae91e .elementskit-accordion .elementskit-card-body p{color:#000000;}.elementor-16086 .elementor-element.elementor-element-70ae91e .elementskit-accordion .elementskit-card-body{color:#000000;}.elementor-16086 .elementor-element.elementor-element-70ae91e .elementskit-accordion .elementskit-card-body p, .elementor-16086 .elementor-element.elementor-element-70ae91e .elementskit-accordion .elementskit-card-body{font-family:\"Inter\", Sans-serif;font-size:16px;font-weight:400;}@media(max-width:767px){.elementor-16086 .elementor-element.elementor-element-92a213c{font-size:15px;}}<\/style>\t\t<div data-elementor-type=\"page\" data-elementor-id=\"16086\" class=\"elementor elementor-16086\" data-elementor-post-type=\"elementor_library\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7e71c72 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"7e71c72\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-94041e7 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"94041e7\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-92a213c elementor-widget elementor-widget-text-editor\" data-id=\"92a213c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The Ph. D. Programme In Mathematics At Hri Consists Of A Rigorous Course Work And Projects In The First Two Semesters, Followed By Research Work Leading To A Ph.D. Degree. The Students Are Taught Basic As Well As Advanced Courses In Mathematics During This Period. They Also Get To Work On Projects In Which They Normally Continue To Work Towards Their Ph. D. Degree. A Thesis Supervisor Is Assigned To A Student Once He\/she Passes The Oral General Comprehensive Examination (OGCE), Which Is Conducted After Successful Completions Of The Course Work.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-efa5bf0 elementor-hidden-tablet elementor-hidden-mobile e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"efa5bf0\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-70ae91e elementor-widget elementor-widget-elementskit-advance-accordion\" data-id=\"70ae91e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"elementskit-advance-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\">\n\n        <div class=\"elementskit-accordion accoedion-primary\" id=\"accordion-67ed75e134d92\">\n\n            \n                <div class=\"elementskit-card\">\n                    <div class=\"elementskit-card-header\" id=\"primaryHeading-0-70ae91e\">\n                        <a href=\"#collapse-9982ee467ed75e134d92\" class=\"elementskit-btn-link collapsed\" data-ekit-toggle=\"collapse\" data-target=\"#Collapse-9982ee467ed75e134d92\" aria-expanded=\"true\" aria-controls=\"Collapse-9982ee467ed75e134d92\">\n                            \n                            <span class=\"ekit-accordion-title\">\u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e \u0938\u0902\u0930\u091a\u0928\u093e<\/span>\n\n                            \n                                <div class=\"ekit_accordion_icon_group\">\n\n                                    <div class=\"ekit_accordion_normal_icon\">\n                                        <!-- Normal Icon -->\n                                        <i aria-hidden=\"true\" class=\"icon-open icon-left icon icon-down-arrow1\"><\/i>                                    <\/div>\n\n                                    <div class=\"ekit_accordion_active_icon\">\n                                    <!-- Active Icon -->\n                                    <i aria-hidden=\"true\" class=\"icon-closed icon-left icon icon-up-arrow1\"><\/i>                                    <\/div>\n                                <\/div>\n\n                            \n                                                    <\/a>\n                    <\/div>\n\n                    <div id=\"Collapse-9982ee467ed75e134d92\" class=\"show collapse\" aria-labelledby=\"primaryHeading-0-70ae91e\" data-parent=\"#accordion-67ed75e134d92\">\n                      \n                        <div class=\"elementskit-card-body\">\n                            \n\t\t<div class=\"widgetarea_warper widgetarea_warper_editable\" data-elementskit-widgetarea-key=\"70ae91e\"  data-elementskit-widgetarea-index=\"9982ee4\">\n\t\t\t<div class=\"widgetarea_warper_edit\" data-elementskit-widgetarea-key=\"70ae91e\" data-elementskit-widgetarea-index=\"9982ee4\">\n\t\t\t\t<i class=\"eicon-edit\" aria-hidden=\"true\"><\/i>\n\t\t\t\t<span>Edit Content<\/span>\n\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"16119\" class=\"elementor elementor-16119\" data-elementor-post-type=\"elementskit_content\">\n\t\t\t\t<div class=\"elementor-element elementor-element-713ce7e e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"713ce7e\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-068b139 elementor-widget elementor-widget-text-editor\" data-id=\"068b139\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The Instructional Part Of The Doctoral Program Consists Of Pedagogical Lectures And Projects During The First Two Semesters. The Semesters Usually Start With The First Working Day Of August\/january. Each Semester Is Of 16 Weeks Duration, Excluding Mid-semester Breaks And Examination Weeks. There Are Seven Core Courses And One Project Of Total 60 Credits In The First Year Of The Programme.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c020775 elementor-widget elementor-widget-heading\" data-id=\"c020775\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Syllabus &amp; Credit Details:<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2308637 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"2308637\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-14d56a1 elementor-widget elementor-widget-text-editor\" data-id=\"14d56a1\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<table border=\"1\"><tbody><tr><td><strong>\u0938\u0947\u092e\u0947\u0938\u094d\u091f\u0930 I<\/strong><\/td><td><strong>\u0915\u094d\u0930\u0947\u0921\u093f\u091f<\/strong><\/td><td><strong>\u0938\u0947\u092e\u0947\u0938\u094d\u091f\u0930 II<\/strong><\/td><td><strong>\u0915\u094d\u0930\u0947\u0921\u093f\u091f<\/strong><\/td><\/tr><tr><td>\u092c\u0940\u091c\u0917\u0923\u093f\u0924 I<\/td><td>4<\/td><td>\u092c\u0940\u091c\u0917\u0923\u093f\u0924 II<\/td><td>4<\/td><\/tr><tr><td>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 I<\/td><td>4<\/td><td>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 II<\/td><td>4<\/td><\/tr><tr><td>\u091f\u094b\u092a\u094b\u0932\u0949\u091c\u0940 I<\/td><td>4<\/td><td>\u091f\u094b\u092a\u094b\u0932\u0949\u091c\u0940 II<\/td><td>4<\/td><\/tr><tr><td>\u0935\u093f\u092d\u0947\u0926\u0928\u0940\u092f \u092e\u0948\u0928\u093f\u092b\u094b\u0932\u094d\u0921\u094d\u0938<\/td><td>4<\/td><td>\u092a\u0930\u093f\u092f\u094b\u091c\u0928\u093e<\/td><td>2<\/td><\/tr><tr><td><a href=\"\/wp-content\/uploads\/2025\/02\/RM_HRI.pdf\" target=\"_blank\" rel=\"noopener\">\u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u0915\u094d\u0930\u093f\u092f\u093e\u0935\u093f\u0927\u093f<\/a><\/td><td>9<\/td><td>\u00a0<\/td><td>\u00a0<\/td><\/tr><\/tbody><\/table>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35a7946 elementor-widget elementor-widget-text-editor\" data-id=\"35a7946\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>(*The Topics Covered In A Certain Course May Vary Depending On The Instructor.)<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-452282c elementor-widget elementor-widget-text-editor\" data-id=\"452282c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094d\u0930\u0947\u0921\u093f\u091f 25 \u0938\u0947 30 \u0918\u0902\u091f\u0947 \u0915\u0947 \u0915\u093e\u0930\u094d\u092f\u092d\u093e\u0930 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u093e\u0930\u094d\u092f\u092d\u093e\u0930 \u092e\u0947\u0902 \u0935\u0939 \u0938\u092e\u092f \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u094b \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u094b \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u0938\u092d\u0940 \u0936\u093f\u0915\u094d\u0937\u0923 \u0917\u0924\u093f\u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091a\u093e\u0939\u093f\u090f \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u0947 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e\u0928 \u092e\u0947\u0902 \u092d\u093e\u0917 \u0932\u0947\u0928\u093e, \u0905\u0938\u093e\u0907\u0928\u092e\u0947\u0902\u091f \u092a\u0942\u0930\u093e \u0915\u0930\u0928\u093e, \u0938\u094d\u0935\u092f\u0902 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u093e, \u0938\u0947\u092e\u093f\u0928\u093e\u0930\u094b\u0902 \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0930\u0928\u093e \u0906\u0926\u093f\u0964<\/p><p>In Research Methodology, Students Are Expected To Get Familiarised With The Process Of Writing Academic Reports, Planning Of A Research Project, Writing Mathematical Texts Using Latex Software And Oral Presentation. The Students Are Also Expected To Be Familiarised With Research And Publication Ethics.<\/p><p>Project Consists Of A Semester-long Reading Courses Under The Supervision Of A Faculty, And Evaluated Based On A Typewritten Report (Using The Latex Software), Of The Study Carried Out By The Student And A Seminar Given At The End Of The Semester.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t                        <\/div>\n\n                    <\/div>\n\n                <\/div><!-- .elementskit-card END --> \n\n                \n                <div class=\"elementskit-card\">\n                    <div class=\"elementskit-card-header\" id=\"primaryHeading-1-70ae91e\">\n                        <a href=\"#collapse-fb18d7167ed75e134d92\" class=\"elementskit-btn-link collapsed\" data-ekit-toggle=\"collapse\" data-target=\"#Collapse-fb18d7167ed75e134d92\" aria-expanded=\"false\" aria-controls=\"Collapse-fb18d7167ed75e134d92\">\n                            \n                            <span class=\"ekit-accordion-title\">\u092e\u0942\u0932\u094d\u092f\u093e\u0902\u0915\u0928<\/span>\n\n                            \n                                <div class=\"ekit_accordion_icon_group\">\n\n                                    <div class=\"ekit_accordion_normal_icon\">\n                                        <!-- Normal Icon -->\n                                        <i aria-hidden=\"true\" class=\"icon-open icon-left icon icon-down-arrow1\"><\/i>                                    <\/div>\n\n                                    <div class=\"ekit_accordion_active_icon\">\n                                    <!-- Active Icon -->\n                                    <i aria-hidden=\"true\" class=\"icon-closed icon-left icon icon-up-arrow1\"><\/i>                                    <\/div>\n                                <\/div>\n\n                            \n                                                    <\/a>\n                    <\/div>\n\n                    <div id=\"Collapse-fb18d7167ed75e134d92\" class=\"collapse\" aria-labelledby=\"primaryHeading-1-70ae91e\" data-parent=\"#accordion-67ed75e134d92\">\n                      \n                        <div class=\"elementskit-card-body\">\n                            \n\t\t<div class=\"widgetarea_warper widgetarea_warper_editable\" data-elementskit-widgetarea-key=\"0835631\"  data-elementskit-widgetarea-index=\"fb18d71\">\n\t\t\t<div class=\"widgetarea_warper_edit\" data-elementskit-widgetarea-key=\"0835631\" data-elementskit-widgetarea-index=\"fb18d71\">\n\t\t\t\t<i class=\"eicon-edit\" aria-hidden=\"true\"><\/i>\n\t\t\t\t<span>Edit Content<\/span>\n\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"15854\" class=\"elementor elementor-15854\" data-elementor-post-type=\"elementskit_content\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b4d06ad e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"b4d06ad\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5cb4669 elementor-widget elementor-widget-text-editor\" data-id=\"5cb4669\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Evaluation Of All Instruction Based Courses Shall Follow The Usual Pattern, That Is, Through Mid-semester, Final-semester Examinations And Assignments\/internal Assessment. Answer Sheets Of Mid Term And Final Examinations Will Be Shown To The Students By The Instructors.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-57c9d4b elementor-widget elementor-widget-text-editor\" data-id=\"57c9d4b\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>If A Student Fails In A Course, The Re-examination For That Course Will Be Conducted During The Break Between The First And The Second Years. The Examiner May Opt To Give An Assignment In The Re-examination, But The Weightage For The Assignment Should Not Be More Than 20%.<\/li><li>If A Student Fails In The Re-examination, Then The Mathematics Graduate Studies Committee (Mgsc) Will Make One Of The Following Recommendations To The Director: (I) The Student Does Not Have The Capacity To Pursue The Programme; (Ii) The Student May Be Given One More Chance After Repeating The Failed Courses. If Option (Ii) Is Chosen, Then The Mgsc Will Assign Instructors For These Courses In The Third Semester Itself. These Could Be Reading Courses.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-959a07e elementor-widget elementor-widget-text-editor\" data-id=\"959a07e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>Ogce: The Ogce Will Be Held Within Three Months After Completion Of The Second Semester Course Work For The Students Passed In All Courses. A Student Is Declared Passed If He\/she Secures Minimum 50% Marks In All Individual Courses And 60% Aggregate. This Is An Hbni (Homi-bhaba National Institute) Requirement For Continuing The Ph.d. Programme At Hri.<\/li><li>For The Course Work Starting In The Month Of August, The Second Semester Courses Will Be Completed By 15th May Of The Coming Year, And Therefore The Ogce Will Be Conducted By 15th August. The Exact Date Of Ogce Will Be Communicated To The Students By The Mgsc Towards The End Of The Second Semester. The Ogce For The Students Who Are Re-doing Some Courses Should Be Conducted Latest By Middle Of The Second Academic Year.<\/li><li>The Ogce Is To Ensure That The Student Has Gained A Solid Foundation In Basic Mathematics, As Expected From The Course Work. The Student Will Be Examined Accordingly, Based On All The Subjects Taught In The First Year Course Work At Hri. However, The Students May Be Given An Option To Prioritise On Two Out Of Three Main Areas For Ogce, Namely Algebra, Analysis And Topology.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t                        <\/div>\n\n                    <\/div>\n\n                <\/div><!-- .elementskit-card END --> \n\n                \n                <div class=\"elementskit-card\">\n                    <div class=\"elementskit-card-header\" id=\"primaryHeading-2-70ae91e\">\n                        <a href=\"#collapse-c1bcaab67ed75e134d92\" class=\"elementskit-btn-link collapsed\" data-ekit-toggle=\"collapse\" data-target=\"#Collapse-c1bcaab67ed75e134d92\" aria-expanded=\"false\" aria-controls=\"Collapse-c1bcaab67ed75e134d92\">\n                            \n                            <span class=\"ekit-accordion-title\">\u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u0915\u094d\u0937\u0947\u0924\u094d\u0930<\/span>\n\n                            \n                                <div class=\"ekit_accordion_icon_group\">\n\n                                    <div class=\"ekit_accordion_normal_icon\">\n                                        <!-- Normal Icon -->\n                                        <i aria-hidden=\"true\" class=\"icon-open icon-left icon icon-down-arrow1\"><\/i>                                    <\/div>\n\n                                    <div class=\"ekit_accordion_active_icon\">\n                                    <!-- Active Icon -->\n                                    <i aria-hidden=\"true\" class=\"icon-closed icon-left icon icon-up-arrow1\"><\/i>                                    <\/div>\n                                <\/div>\n\n                            \n                                                    <\/a>\n                    <\/div>\n\n                    <div id=\"Collapse-c1bcaab67ed75e134d92\" class=\"collapse\" aria-labelledby=\"primaryHeading-2-70ae91e\" data-parent=\"#accordion-67ed75e134d92\">\n                      \n                        <div class=\"elementskit-card-body\">\n                            \n\t\t<div class=\"widgetarea_warper widgetarea_warper_editable\" data-elementskit-widgetarea-key=\"0835631\"  data-elementskit-widgetarea-index=\"c1bcaab\">\n\t\t\t<div class=\"widgetarea_warper_edit\" data-elementskit-widgetarea-key=\"0835631\" data-elementskit-widgetarea-index=\"c1bcaab\">\n\t\t\t\t<i class=\"eicon-edit\" aria-hidden=\"true\"><\/i>\n\t\t\t\t<span>Edit Content<\/span>\n\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"15859\" class=\"elementor elementor-15859\" data-elementor-post-type=\"elementskit_content\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f066939 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"f066939\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-940231e elementor-widget elementor-widget-heading\" data-id=\"940231e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0914\u0930 \u092c\u0940\u091c\u0940\u092f \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-deb11ff elementor-widget elementor-widget-heading\" data-id=\"deb11ff\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0938\u092e\u0942\u0939 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 (\u092e\u0928\u094b\u091c \u0915\u0941\u092e\u093e\u0930 \u092f\u093e\u0926\u0935)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-170649d elementor-widget elementor-widget-text-editor\" data-id=\"170649d\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u0905\u092e\u0942\u0930\u094d\u0924 \u0938\u092e\u0942\u0939 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924: \u0911\u091f\u094b\u092e\u094b\u0930\u094d\u092b\u093f\u091c\u094d\u092e, \u0938\u0902\u092f\u0941\u0917\u094d\u092e\u0940 \u0935\u0930\u094d\u0917, \u0915\u092e\u094d\u092f\u0942\u091f\u0947\u091f\u0930 \u0936\u092c\u094d\u0926 \u092e\u093e\u0928\u091a\u093f\u0924\u094d\u0930, \u0914\u0930 \u0915\u092e \u0906\u092f\u093e\u092e\u0940 \u0938\u0939-\u0938\u092e\u0930\u0942\u092a\u0924\u093e; \u092c\u094d\u0930\u0947\u0938\u0947\u091c\u093c \u0914\u0930 \u0924\u093f\u0930\u091b\u093e \u092c\u094d\u0930\u0947\u0938\u0947\u091c\u093c; \u092f\u093e\u0902\u0917-\u092c\u0948\u0915\u094d\u0938\u091f\u0930 \u0938\u092e\u0940\u0915\u0930\u0923\u0964<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6f08d0d elementor-widget elementor-widget-heading\" data-id=\"6f08d0d\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 (\u092a\u0941\u0928\u0940\u0924\u093e \u092c\u0924\u094d\u0930\u093e)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-621f3fd elementor-widget elementor-widget-text-editor\" data-id=\"621f3fd\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Representations of Lie Algebras: Semisimple, Toroidal Lie Algebras.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-760279a elementor-widget elementor-widget-heading\" data-id=\"760279a\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f (\u0909\u092e\u0947\u0936 \u0926\u0941\u092c\u0947, \u092c\u0940.\u090f\u0938.\u090f\u0938. \u0936\u094d\u0930\u0940\u0927\u0930)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cb682d3 elementor-widget elementor-widget-text-editor\" data-id=\"cb682d3\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Derived Categories Of Coherent Sheaves, Matrix Factorization Categories, Tensor Triangulated Categories And T-structures, Algebraic Stacks, Algebraic K-theory, And Chow Groups.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-582674c elementor-widget elementor-widget-text-editor\" data-id=\"582674c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>*Some Familiar Topics in Algebra &amp; Algebraic Geometry to Carry Out <em>'\u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u092a\u0930\u093f\u092f\u094b\u091c\u0928\u093e\u090f\u0902'\u00a0<\/em>, See <a href=\"\/wp-content\/uploads\/2024\/08\/AlgebraandAlgebraicGeometry.pdf\" target=\"_blank\" rel=\"noopener\">\u0926\u0947\u0916\u0947<\/a>.<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-154a351 elementor-widget elementor-widget-heading\" data-id=\"154a351\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0938\u0902\u0916\u094d\u092f\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4a7d242 elementor-widget elementor-widget-heading\" data-id=\"4a7d242\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 (\u0921\u0940 \u0938\u0942\u0930\u094d\u092f \u0930\u092e\u0923, \u091c\u094d\u091e\u093e\u0928 \u092a\u094d\u0930\u0915\u093e\u0936, \u0906\u0930 \u0925\u0902\u0917\u093e\u0926\u0941\u0930\u0908)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4de65e8 elementor-widget elementor-widget-text-editor\" data-id=\"4de65e8\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Ramsey Theory And Additive Representation Problems In Analytic Number Theory, Additive Combinatorics, Transcendental Number Theory.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fc5b3d3 elementor-widget elementor-widget-heading\" data-id=\"fc5b3d3\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f (\u0905\u092a\u094d\u0930\u092e\u093f\u092f\u094b \u092a\u093e\u0932, \u091c\u093f\u0937\u094d\u0923\u0941 \u0930\u0947)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-88d2d3c elementor-widget elementor-widget-text-editor\" data-id=\"88d2d3c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Iwasawa Theory, Special Values Of L-functions, Automorphic Representations And P-adic Families, Galois Representations, P-adic Hodge Theory And Langlands Program, Mod-p Modular Arithmetic, Drinfeld Modules.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4653151 elementor-widget elementor-widget-text-editor\" data-id=\"4653151\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>*Some Familiar Topics in Number Theory to carry out <em>'\u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u092a\u0930\u093f\u092f\u094b\u091c\u0928\u093e\u090f\u0902'\u00a0<\/em>, See <a href=\"\/wp-content\/uploads\/2024\/08\/NumberTheory.pdf\" target=\"_blank\" rel=\"noopener\">\u0926\u0947\u0916\u0947<\/a>.<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-13e9f40 elementor-widget elementor-widget-heading\" data-id=\"13e9f40\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-923624e elementor-widget elementor-widget-heading\" data-id=\"923624e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0906\u0902\u0936\u093f\u0915 \u0905\u0902\u0924\u0930 \u0938\u092e\u0940\u0915\u0930\u0923 (\u0924\u0941\u0939\u093f\u0928 \u0918\u094b\u0937, \u0905\u092e\u0943\u0924\u093e \u0918\u094b\u0937)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2b36017 elementor-widget elementor-widget-text-editor\" data-id=\"2b36017\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u0906\u0902\u0936\u093f\u0915 \u0905\u0902\u0924\u0930 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923, \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0938\u092e\u0938\u094d\u092f\u093e\u090f\u0901, \u0938\u092e\u0930\u0942\u092a\u0940\u0915\u0930\u0923, \u0917\u0923\u093f\u0924\u0940\u092f \u0926\u094d\u0930\u0935 \u0917\u0924\u093f\u0936\u0940\u0932\u0924\u093e<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-37af481 elementor-widget elementor-widget-heading\" data-id=\"37af481\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0939\u093e\u0930\u094d\u092e\u094b\u0928\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 (\u092a\u0940 \u0915\u0947 \u0930\u0924\u094d\u0928\u0915\u0941\u092e\u093e\u0930)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4dbf132 elementor-widget elementor-widget-text-editor\" data-id=\"4dbf132\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u0939\u0930\u094d\u092e\u093e\u0907\u091f, \u0938\u094d\u092a\u0947\u0936\u0932 \u0939\u0930\u094d\u092e\u093e\u0907\u091f \u0914\u0930 \u0932\u0948\u0917\u0941\u090f\u0930\u0947 \u0921\u093f\u092b\u0930\u0947\u0902\u0936\u093f\u092f\u0932 \u0911\u092a\u0930\u0947\u091f\u0930\u094b\u0902 \u0915\u093e \u0939\u093e\u0930\u094d\u092e\u094b\u0928\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0782f45 elementor-widget elementor-widget-text-editor\" data-id=\"0782f45\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>*Some Familiar Topics in Analysis to Carry Out <em>'\u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u092a\u0930\u093f\u092f\u094b\u091c\u0928\u093e\u090f\u0902'\u00a0<\/em>, See <a href=\"\/wp-content\/uploads\/2024\/08\/Analysis.pdf\" target=\"_blank\" rel=\"noopener\">\u0926\u0947\u0916\u0947<\/a>.<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b360224 elementor-widget elementor-widget-heading\" data-id=\"b360224\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fb82b71 elementor-widget elementor-widget-heading\" data-id=\"fb82b71\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0935\u093f\u092d\u0947\u0926\u0915 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f (\u0939\u0947\u092e\u0902\u0917\u0940 \u090f\u092e. \u0936\u093e\u0939)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e387458 elementor-widget elementor-widget-text-editor\" data-id=\"e387458\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Riemannian Geometry, Finsler Geometry.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9a7905c elementor-widget elementor-widget-text-editor\" data-id=\"9a7905c\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>*Some Familiar Topics in Geometry to Carry Out <em>'\u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u092a\u0930\u093f\u092f\u094b\u091c\u0928\u093e\u090f\u0902'\u00a0<\/em>, See <a href=\"\/wp-content\/uploads\/2024\/08\/Geometry.pdf\" target=\"_blank\" rel=\"noopener\">\u0926\u0947\u0916\u0947<\/a>.<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t                        <\/div>\n\n                    <\/div>\n\n                <\/div><!-- .elementskit-card END --> \n\n                \n                <div class=\"elementskit-card\">\n                    <div class=\"elementskit-card-header\" id=\"primaryHeading-3-70ae91e\">\n                        <a href=\"#collapse-e4d37a867ed75e134d92\" class=\"elementskit-btn-link collapsed\" data-ekit-toggle=\"collapse\" data-target=\"#Collapse-e4d37a867ed75e134d92\" aria-expanded=\"false\" aria-controls=\"Collapse-e4d37a867ed75e134d92\">\n                            \n                            <span class=\"ekit-accordion-title\">\u0935\u093e\u0930\u094d\u0937\u093f\u0915 \u092a\u094d\u0930\u0917\u0924\u093f \u0930\u093f\u092a\u094b\u0930\u094d\u091f<\/span>\n\n                            \n                                <div class=\"ekit_accordion_icon_group\">\n\n                                    <div class=\"ekit_accordion_normal_icon\">\n                                        <!-- Normal Icon -->\n                                        <i aria-hidden=\"true\" class=\"icon-open icon-left icon icon-down-arrow1\"><\/i>                                    <\/div>\n\n                                    <div class=\"ekit_accordion_active_icon\">\n                                    <!-- Active Icon -->\n                                    <i aria-hidden=\"true\" class=\"icon-closed icon-left icon icon-up-arrow1\"><\/i>                                    <\/div>\n                                <\/div>\n\n                            \n                                                    <\/a>\n                    <\/div>\n\n                    <div id=\"Collapse-e4d37a867ed75e134d92\" class=\"collapse\" aria-labelledby=\"primaryHeading-3-70ae91e\" data-parent=\"#accordion-67ed75e134d92\">\n                      \n                        <div class=\"elementskit-card-body\">\n                            \n\t\t<div class=\"widgetarea_warper widgetarea_warper_editable\" data-elementskit-widgetarea-key=\"0835631\"  data-elementskit-widgetarea-index=\"e4d37a8\">\n\t\t\t<div class=\"widgetarea_warper_edit\" data-elementskit-widgetarea-key=\"0835631\" data-elementskit-widgetarea-index=\"e4d37a8\">\n\t\t\t\t<i class=\"eicon-edit\" aria-hidden=\"true\"><\/i>\n\t\t\t\t<span>Edit Content<\/span>\n\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"15956\" class=\"elementor elementor-15956\" data-elementor-post-type=\"elementskit_content\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a7f9b43 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"a7f9b43\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-96857b8 elementor-widget elementor-widget-text-editor\" data-id=\"96857b8\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Doctoral Committee:<\/strong> After the Successful Completion of the First Year Course Work and the OGCE, the MGSC Will Assign a Thesis Supervisor to a Student, Taking Consent From the Faculty Member, and Constitute a Doctoral Committee to Monitor the Academic Progress of the Student. The Doctoral Committee Consists of a Chairman (a Faculty Member at the Level of Professor\/ Associate Professor), the Supervisor as the Convenor, and Three Members (Faculty), Who Could Also Be Experts From Outside HRI.<\/p><p><strong>Annual Progress\u00a0Report:<\/strong> Every Student is Required to Submit a Progress Report at the End of the Academic Year, and Deliver a Fellowship Extension Seminar in Front of the Doctoral Committee. The Thesis Supervisor Will Call a Doctoral Committee Meeting Two Months Before the End of Every Academic Year, and Arrange a Seminar by the Student Based on the Work Done in the Current Academic Year. The Thesis Supervisor Will Discuss the Progress Report Submitted by the Student With the Members of the Doctoral Committee, and Prepare a Progress Report in Consultation With Them. The Doctoral Committee Will Also Give Guidelines for Future Research.<\/p><p><strong>\u092b\u0948\u0932\u094b\u0936\u093f\u092a \u0935\u093f\u0938\u094d\u0924\u093e\u0930:<\/strong> \u092b\u0947\u0932\u094b\u0936\u093f\u092a \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0921\u0949\u0915\u094d\u091f\u0930\u0932 \u0938\u092e\u093f\u0924\u093f \u0915\u0940 \u0938\u093f\u092b\u093e\u0930\u093f\u0936 \u0914\u0930 \u090f\u091a\u092c\u0940\u090f\u0928\u0906\u0908 (\u0939\u094b\u092e\u0940-\u092d\u093e\u092d\u093e \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0938\u0902\u0938\u094d\u0925\u093e\u0928) \u0938\u0947 \u0905\u0928\u0941\u092e\u094b\u0926\u0928 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0939\u094b\u0917\u093e, \u092f\u0939 \u0935\u0939 \u0921\u0940\u092e\u094d\u0921 \u0935\u093f\u0936\u094d\u0935\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0939\u0948 \u091c\u0939\u093e\u0902 \u090f\u091a\u0906\u0930\u0906\u0908 \u0915\u0947 \u0938\u092d\u0940 \u091b\u093e\u0924\u094d\u0930 \u0905\u092a\u0928\u0940 \u092a\u0940\u090f\u091a\u0921\u0940 \u0921\u093f\u0917\u094d\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f \u092a\u0902\u091c\u0940\u0915\u0943\u0924 \u0939\u0948\u0902: http:\/\/www.hbni.ac.in\/\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u094b \u0921\u0949\u0915\u094d\u091f\u0930\u0932 \u0938\u092e\u093f\u0924\u093f \u0915\u0947 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0914\u0930 \u0921\u0940\u0928 \u0905\u0915\u093e\u0926\u092e\u093f\u0915 \u0926\u094d\u0935\u093e\u0930\u093e \u0939\u0938\u094d\u0924\u093e\u0915\u094d\u0937\u0930\u093f\u0924 \u0935\u093e\u0930\u094d\u0937\u093f\u0915 \u092a\u094d\u0930\u0917\u0924\u093f \u0930\u093f\u092a\u094b\u0930\u094d\u091f \u0915\u094b \u0905\u0928\u0941\u0935\u093f\u0926\u094d\u092f\u093e \u0935\u0947\u092c\u0938\u093e\u0907\u091f http:\/\/www.anuvidhya.in \u092a\u0930 \u0905\u092a\u0932\u094b\u0921 \u0915\u0930\u0928\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948, \u0905\u0927\u093f\u092e\u093e\u0928\u0924\u0903 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0938\u0947\u092e\u093f\u0928\u093e\u0930 \u0915\u0947 \u092c\u093e\u0926 \u0926\u094b \u0938\u092a\u094d\u0924\u093e\u0939 \u0915\u0947 \u092d\u0940\u0924\u0930\u0964 \u092e\u0942\u0932 \u0935\u093e\u0930\u094d\u0937\u093f\u0915 \u092a\u094d\u0930\u0917\u0924\u093f \u0930\u093f\u092a\u094b\u0930\u094d\u091f \u0930\u093f\u0915\u0949\u0930\u094d\u0921 \u0915\u0947 \u0932\u093f\u090f \u090f\u091a\u0906\u0930\u0906\u0908 \u092e\u0947\u0902 \u090f\u091a\u092c\u0940\u090f\u0928\u0906\u0908 \u0938\u0947\u0932 \u0915\u094b \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0940 \u091c\u093e\u0928\u0940 \u091a\u093e\u0939\u093f\u090f\u0964<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t                        <\/div>\n\n                    <\/div>\n\n                <\/div><!-- .elementskit-card END --> \n\n                \n                <div class=\"elementskit-card\">\n                    <div class=\"elementskit-card-header\" id=\"primaryHeading-4-70ae91e\">\n                        <a href=\"#collapse-02b9d4167ed75e134d92\" class=\"elementskit-btn-link collapsed\" data-ekit-toggle=\"collapse\" data-target=\"#Collapse-02b9d4167ed75e134d92\" aria-expanded=\"false\" aria-controls=\"Collapse-02b9d4167ed75e134d92\">\n                            \n                            <span class=\"ekit-accordion-title\">\u0925\u0940\u0938\u093f\u0938 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0928\u093e<\/span>\n\n                            \n                                <div class=\"ekit_accordion_icon_group\">\n\n                                    <div class=\"ekit_accordion_normal_icon\">\n                                        <!-- Normal Icon -->\n                                        <i aria-hidden=\"true\" class=\"icon-open icon-left icon icon-down-arrow1\"><\/i>                                    <\/div>\n\n                                    <div class=\"ekit_accordion_active_icon\">\n                                    <!-- Active Icon -->\n                                    <i aria-hidden=\"true\" class=\"icon-closed icon-left icon icon-up-arrow1\"><\/i>                                    <\/div>\n                                <\/div>\n\n                            \n                                                    <\/a>\n                    <\/div>\n\n                    <div id=\"Collapse-02b9d4167ed75e134d92\" class=\"collapse\" aria-labelledby=\"primaryHeading-4-70ae91e\" data-parent=\"#accordion-67ed75e134d92\">\n                      \n                        <div class=\"elementskit-card-body\">\n                            \n\t\t<div class=\"widgetarea_warper widgetarea_warper_editable\" data-elementskit-widgetarea-key=\"0835631\"  data-elementskit-widgetarea-index=\"02b9d41\">\n\t\t\t<div class=\"widgetarea_warper_edit\" data-elementskit-widgetarea-key=\"0835631\" data-elementskit-widgetarea-index=\"02b9d41\">\n\t\t\t\t<i class=\"eicon-edit\" aria-hidden=\"true\"><\/i>\n\t\t\t\t<span>Edit Content<\/span>\n\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"16163\" class=\"elementor elementor-16163\" data-elementor-post-type=\"elementskit_content\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d2d1292 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"d2d1292\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-8aae1b2 elementor-widget elementor-widget-text-editor\" data-id=\"8aae1b2\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Once the Thesis Supervisor Feels That There is Enough Work That Qualifies for a Ph.D. Degree, the Student Can Start Preparing the Thesis, as Per the Advise of the Supervisor.<\/p><p>A Synopsis Talk Needs to Be Arranged Before the Synopsis Submission. The Thesis Has to Be Submitted, Within Three Months After the Submission of the Synopsis.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t                        <\/div>\n\n                    <\/div>\n\n                <\/div><!-- .elementskit-card END --> \n\n                        <\/div>\n    <\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/div><div class=\"tab-content tab-0702b5e\"><style>.elementor-16089 .elementor-element.elementor-element-518d0c3{--display:flex;--background-transition:0.3s;--margin-top:0px;--margin-bottom:0px;--margin-left:0px;--margin-right:0px;--padding-top:50px;--padding-bottom:0px;--padding-left:0px;--padding-right:0px;overflow:visible;}.elementor-16089 .elementor-element.elementor-element-e9d5309{--display:flex;--background-transition:0.3s;overflow:visible;}.elementor-widget-text-editor{color:var( 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Sans-serif;font-size:17px;font-weight:400;line-height:30px;}.elementor-16089 .elementor-element.elementor-element-fafa61e{--divider-border-style:solid;--divider-color:#E1E1E1;--divider-border-width:1px;}.elementor-16089 .elementor-element.elementor-element-fafa61e > .elementor-widget-container{margin:-10px 0px 0px 0px;padding:0px 0px 0px 0px;}.elementor-16089 .elementor-element.elementor-element-fafa61e .elementor-divider-separator{width:100%;}.elementor-16089 .elementor-element.elementor-element-fafa61e .elementor-divider{padding-block-start:1px;padding-block-end:1px;}.elementor-16089 .elementor-element.elementor-element-41f021d > .elementor-widget-container{margin:0px 0px 0px 0px;padding:0px 0px 0px 0px;}.elementor-16089 .elementor-element.elementor-element-41f021d{text-align:justify;color:#000000;font-family:\"Inter\", Sans-serif;font-size:17px;font-weight:400;line-height:30px;}@media(max-width:767px){.elementor-16089 .elementor-element.elementor-element-67d664f > 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.elementor-element.elementor-element-b4b8da4{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-006ced3 .elementor-heading-title{font-size:19px;}.elementor-16089 .elementor-element.elementor-element-7685165{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-bf5352b{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-d80b458{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-71bc0eb .elementor-heading-title{font-size:19px;}.elementor-16089 .elementor-element.elementor-element-6dc8554{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-03b3d39{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-0c77055{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-35ea900{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-406d2eb{font-size:15px;}.elementor-16089 .elementor-element.elementor-element-41f021d{font-size:15px;}}<\/style>\t\t<div data-elementor-type=\"page\" data-elementor-id=\"16089\" class=\"elementor elementor-16089\" data-elementor-post-type=\"elementor_library\">\n\t\t\t\t<div class=\"elementor-element elementor-element-518d0c3 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"518d0c3\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-e9d5309 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"e9d5309\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-67d664f elementor-widget elementor-widget-text-editor\" data-id=\"67d664f\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<iframe src=\"https:\/\/calendar.google.com\/calendar\/embed?src=hrimathematics%40gmail.com&amp;ctz=Asia%2FKolkata\" style=\"border: 0\" width=\"800\" height=\"600\" frameborder=\"0\" scrolling=\"no\"><\/iframe>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-919b64c e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"919b64c\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2db1ce5 elementor-widget elementor-widget-heading\" data-id=\"2db1ce5\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0938\u0926\u0938\u094d\u092f\u0924\u093e \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u0943\u092a\u092f\u093e + \u092c\u091f\u0928 \u092a\u0930 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902\u0964<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-87f9fe7 elementor-widget elementor-widget-heading\" data-id=\"87f9fe7\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Graduate Courseworks - Timeline (2024-2025)<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c1e906d elementor-widget elementor-widget-text-editor\" data-id=\"c1e906d\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong><u>\u0938\u0947\u092e\u0947\u0938\u094d\u091f\u0930 II<\/u><\/strong><\/p><p><strong>First day of instruction:<\/strong> 6 January 2025<br \/><strong>Mid-semester exam:<\/strong> 3 March &#8211; 7 March 2025<br \/><strong>Last day of instruction:<\/strong> 8 May 2025<br \/><strong>End Sem Exam:<\/strong> 14 May &#8211; 20 May 2025<br \/><strong>Deadline to submit the marks:<\/strong> 27 May 2025<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a853024 elementor-widget elementor-widget-text-editor\" data-id=\"a853024\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong><u>\u0938\u0947\u092e\u0947\u0938\u094d\u091f\u0930 I<\/u><\/strong><\/p><p><strong>First day of instruction:<\/strong> 5 August, 2024<br \/><strong>Mid-semester exam week:<\/strong> 30 September &#8211; 4 October, 2024<br \/><strong>Last day of instruction:<\/strong> 29 November, 2024<br \/><strong>End-semester exam week:<\/strong> 2 &#8211; 6 December, 2024<br \/><strong>Deadline for submission of grades:<\/strong> 13 December, 2024<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e6d4f36 elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"e6d4f36\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7484865 elementor-widget elementor-widget-heading\" data-id=\"7484865\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0905\u0935\u0927\u093f 2024<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4b8da4 elementor-widget elementor-widget-text-editor\" data-id=\"b4b8da4\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>(5 \u0905\u0917\u0938\u094d\u0924, 2024\u201329 \u0928\u0935\u0902\u092c\u0930, 2024)<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-006ced3 elementor-widget elementor-widget-heading\" data-id=\"006ced3\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u090f\u092e.\u090f\u0938.\u0938\u0940. \u092a\u094d\u0930\u0925\u092e \u0935\u0930\u094d\u0937<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9d32326 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"9d32326\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7685165 elementor-widget elementor-widget-text-editor\" data-id=\"7685165\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><b>\u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e\u0928 \u0938\u094d\u091f\u094d\u0930\u093f\u0902\u0917 \u090f\u0930\u093f\u092f\u093e \u0932\u0947\u0915\u094d\u091a\u0930 \u0939\u0949\u0932 \u092e\u0947\u0902 \u0906\u092f\u094b\u091c\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u090f\u0902\u0917\u0947\u0964<\/b><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bf5352b elementor-widget elementor-widget-text-editor\" data-id=\"bf5352b\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<table border=\"2\" frame=\"border\" rules=\"all\" cellspacing=\"0\" cellpadding=\"6\">\n<thead>\n<tr>\n<th class=\"msc\" scope=\"col\"><\/th>\n<th class=\"msc\" scope=\"col\">9:30\u201310:55<\/th>\n<th class=\"msc\" scope=\"col\">11:05\u201312:30<\/th>\n<th class=\"msc\" scope=\"col\">13:30\u201314:55<\/th>\n<th class=\"msc\" scope=\"col\">15:05\u201316:30<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"org-left\">\u0938\u094b\u092e\u0935\u093e\u0930<\/td>\n<td class=\"org-left\"><\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092e-1<\/td>\n<td class=\"org-left\">\u0908\u0921\u0940<\/td>\n<td class=\"org-left\">\u0938\u0947\u092e\u0940<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u092e\u0902\u0917\u0932\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092e-1<\/td>\n<td class=\"org-left\">\u090f\u092e\u090f\u092e-1<\/td>\n<td class=\"org-left\">\u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e<\/td>\n<td class=\"org-left\">\u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u092c\u0941\u0927\u0935\u093e\u0930<\/td>\n<td class=\"org-left\"><\/td>\n<td class=\"org-left\">\u090f\u092e\u090f\u092e-1<\/td>\n<td class=\"org-left\">\u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e<\/td>\n<td class=\"org-left\">\u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0917\u0941\u0930\u0941\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092e-1<\/td>\n<td class=\"org-left\">\u0938\u0947\u092e\u0940<\/td>\n<td class=\"org-left\">\u0908\u0921\u0940<\/td>\n<td class=\"org-left\">\u090f\u092e\u090f\u092e-1<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0936\u0941\u0915\u094d\u0930\u0935\u093e\u0930<\/td>\n<td class=\"org-left\"><\/td>\n<td class=\"org-left\">\u0908\u0921\u0940<\/td>\n<td class=\"org-left\">\u0938\u0947\u092e\u0940<\/td>\n<td class=\"org-left\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25aed8a elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"25aed8a\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d80b458 elementor-widget elementor-widget-text-editor\" data-id=\"d80b458\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<table border=\"2\" frame=\"border\" rules=\"all\" cellspacing=\"0\" cellpadding=\"6\">\n<thead>\n<tr>\n<th class=\"msc\" scope=\"col\">\u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e<\/th>\n<th class=\"msc\" scope=\"col\">\u092a\u094d\u0930\u0936\u093f\u0915\u094d\u0937\u0915<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"org-left\">\u0936\u093e\u0938\u094d\u0924\u094d\u0930\u0940\u092f \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915\u0940 (\u0938\u0940\u090f\u092e)<\/td>\n<td class=\"org-left\">\u090f\u0938. \u0926\u093e\u0938\u0917\u0941\u092a\u094d\u0924\u093e<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u0921\u093e\u092f\u0928\u093e\u092e\u093f\u0915\u094d\u0938 (\u0908\u0921\u0940)<\/td>\n<td class=\"org-left\">\u091f\u0940. \u0918\u094b\u0937<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e<\/td>\n<td class=\"org-left\">\u090f\u0938.\u090f\u0932.\u0917\u0941\u092a\u094d\u0924\u093e<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0917\u0923\u093f\u0924\u0940\u092f \u0935\u093f\u0927\u093f\u092f\u093e\u0901 1 (MM-1)<\/td>\n<td class=\"org-left\">\u0924\u093e\u092a\u0938 \u0926\u093e\u0938<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0915\u094d\u0935\u093e\u0902\u091f\u092e \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915\u0940 1 (QM-1)<\/td>\n<td class=\"org-left\">\u0921\u0940. \u091c\u093e\u091f\u0915\u0930<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n&nbsp;\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f722f08 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f722f08\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-71bc0eb elementor-widget elementor-widget-heading\" data-id=\"71bc0eb\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u090f\u092e.\u090f\u0938.\u0938\u0940. \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u0935\u0930\u094d\u0937 \u090f\u0935\u0902 \u092a\u0940\u090f\u091a.\u0921\u0940.<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1bc0a27 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"1bc0a27\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6dc8554 elementor-widget elementor-widget-text-editor\" data-id=\"6dc8554\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><b>\u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e\u0928 \u0939\u093f\u0917\u094d\u0917\u094d\u0938 \u0932\u0947\u0915\u094d\u091a\u0930 \u0939\u0949\u0932 \u092e\u0947\u0902 \u0906\u092f\u094b\u091c\u093f\u0924 \u0915\u093f\u092f\u0947 \u091c\u093e\u092f\u0947\u0902\u0917\u0947\u0964<\/b><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-03b3d39 elementor-widget elementor-widget-text-editor\" data-id=\"03b3d39\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<table border=\"2\" frame=\"border\" rules=\"all\" cellspacing=\"0\" cellpadding=\"6\">\n<thead>\n<tr>\n<th class=\"msc\" scope=\"col\"><\/th>\n<th class=\"msc\" scope=\"col\">9:30\u201310:55<\/th>\n<th class=\"msc\" scope=\"col\">11:05\u201312:30<\/th>\n<th class=\"msc\" scope=\"col\">13:30\u201314:55<\/th>\n<th class=\"msc\" scope=\"col\">15:05\u201316:30<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"org-left\">\u0938\u094b\u092e\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u0906\u0908\u0938\u0940-1<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092e-3<\/td>\n<td class=\"org-left\">\u090f\u092e\u090f\u092e-2<\/td>\n<td class=\"org-left\">\u0938\u0940\u090f\u092e\u092a\u0940<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u092e\u0902\u0917\u0932\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092b\u091f\u0940-1<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092e-3<\/td>\n<td class=\"org-left\">\u091c\u0940\u0906\u0930\/\u090f\u092e\u0913\u0908<\/td>\n<td class=\"org-left\">\u090f\u092e\u090f\u092e-2<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u092c\u0941\u0927\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u0906\u0908\u0938\u0940-1\/\u091c\u0940\u0906\u0930<\/td>\n<td class=\"org-left\">\u0938\u0940\u090f\u092e\u092a\u0940<\/td>\n<td class=\"org-left\">MOE<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092b\u091f\u0940-1<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0917\u0941\u0930\u0941\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u0938\u0940\u090f\u092e\u092a\u0940<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u0906\u0908\u0938\u0940-1<\/td>\n<td class=\"org-left\">\u090f\u092e\u090f\u092e-2<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092e-3<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0936\u0941\u0915\u094d\u0930\u0935\u093e\u0930<\/td>\n<td class=\"org-left\">\u091c\u0940\u0906\u0930<\/td>\n<td class=\"org-left\">\u0915\u094d\u092f\u0942\u090f\u092b\u091f\u0940-1<\/td>\n<td class=\"org-left\">MOE<\/td>\n<td class=\"org-left\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0c77055 elementor-widget elementor-widget-text-editor\" data-id=\"0c77055\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u091c\u0940.\u0906\u0930. \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e\u0928 \u0938\u094d\u091f\u094d\u0930\u093f\u0902\u0917 \u090f\u0930\u093f\u092f\u093e \u0932\u0947\u0915\u094d\u091a\u0930 \u0939\u0949\u0932 \u092e\u0947\u0902 \u0906\u092f\u094b\u091c\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u090f\u0902\u0917\u0947\u0964<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-20f8a86 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"20f8a86\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35ea900 elementor-widget elementor-widget-text-editor\" data-id=\"35ea900\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<table border=\"2\" frame=\"border\" rules=\"all\" cellspacing=\"0\" cellpadding=\"6\">\n<thead>\n<tr>\n<th class=\"msc\" scope=\"col\">\u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e<\/th>\n<th class=\"msc\" scope=\"col\">\u092a\u094d\u0930\u0936\u093f\u0915\u094d\u0937\u0915<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"org-left\">\u0938\u0902\u0918\u0928\u093f\u0924 \u092a\u0926\u093e\u0930\u094d\u0925 \u092d\u094c\u0924\u093f\u0915\u0940 (\u0938\u0940\u090f\u092e\u092a\u0940)<\/td>\n<td class=\"org-left\">\u0924\u093f\u0938\u093f\u0924\u093e \u0926\u093e\u0938<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u0924\u093e (\u091c\u0940\u0906\u0930)<\/td>\n<td class=\"org-left\">\u0921\u0940. \u092a\u0940. \u091c\u093e\u091f\u0915\u0930<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0917\u0923\u093f\u0924\u0940\u092f \u0935\u093f\u0927\u093f\u092f\u093e\u0901 2 (MM-2)<\/td>\n<td class=\"org-left\">\u092f\u0942. \u0938\u0947\u0928<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0938\u0902\u0924\u0941\u0932\u0928 \u0938\u0947 \u092c\u093e\u0939\u0930 \u092a\u0926\u093e\u0930\u094d\u0925 (\u090f\u092e\u0913\u0908)<\/td>\n<td class=\"org-left\">\u092a\u0940. \u092e\u091c\u0942\u092e\u0926\u093e\u0930<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0915\u094d\u0935\u093e\u0902\u091f\u092e \u092b\u0940\u0932\u094d\u0921 \u0925\u094d\u092f\u094b\u0930\u0940 1 (QFT-1)<\/td>\n<td class=\"org-left\">\u090f\u0938. \u0915\u0947. \u0930\u093e\u092f<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0942\u091a\u0928\u093e \u0914\u0930 \u0938\u0902\u0917\u0923\u0928\u093e 1 (QIC-1)<\/td>\n<td class=\"org-left\">\u090f. \u0938\u0947\u0928 \u0926\u0947<\/td>\n<\/tr>\n<tr>\n<td class=\"org-left\">\u0915\u094d\u0935\u093e\u0902\u091f\u092e \u092e\u0948\u0915\u0947\u0928\u093f\u0915\u094d\u0938 3 (\u0915\u094d\u092f\u0942\u090f\u092e-3)<\/td>\n<td class=\"org-left\">\u090f\u0938. \u091a\u0915\u094d\u0930\u0935\u0930\u094d\u0924\u0940<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b18ed89 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"b18ed89\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-406d2eb elementor-widget elementor-widget-text-editor\" data-id=\"406d2eb\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u0915\u0943\u092a\u092f\u093e \u0938\u092e\u092f-\u0938\u093e\u0930\u0923\u0940 \u0924\u092f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0920\u0928 \u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e \u0915\u0947 \u092a\u094d\u0930\u0936\u093f\u0915\u094d\u0937\u0915\u094b\u0902 \u0938\u0947 \u0938\u0902\u092a\u0930\u094d\u0915 \u0915\u0930\u0947\u0902\u0964<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fafa61e elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"fafa61e\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-41f021d elementor-widget elementor-widget-text-editor\" data-id=\"41f021d\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><b>\u092e\u0927\u094d\u092f\u093e\u0935\u0927\u093f \u0938\u092a\u094d\u0924\u093e\u0939: 30 \u0938\u093f\u0924\u0902\u092c\u0930 \u2013 4 \u0905\u0915\u094d\u091f\u0942\u092c\u0930, 2024<\/b><br \/><b>\u0905\u0902\u0924\u093f\u092e \u0938\u092a\u094d\u0924\u093e\u0939: 25-29 \u0928\u0935\u0902\u092c\u0930, 2024<\/b><br \/><b>\u092e\u0927\u094d\u092f\u093e\u0935\u0927\u093f \u0905\u0935\u0915\u093e\u0936: 7-11 \u0905\u0915\u094d\u091f\u0942\u092c\u0930, 2024<\/b><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a7a87fe e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"a7a87fe\" data-element_type=\"container\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0f70c69 elementor-widget elementor-widget-spacer\" data-id=\"0f70c69\" data-element_type=\"widget\" data-settings=\"{&quot;ekit_we_effect_on&quot;:&quot;none&quot;}\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Mathematics M.Sc. Degree Programme M.Sc. Programme Ph.D Programme Current Academic Timetable HRI started a two year Masters programme in Physics in 2016. This program is a standalone two year M.Sc. program with students having no obligation of continuing at HRI for pursuing their Ph. D. The program is designed in such a way that the student not only will get a rigorous training in theoretical physics but also will get exposure to a good amount of experiments. The admission procedure\u00a0for the programme is described at the admissions page Although there is no obligation to do further study in HRI, students who pursue\u00a0their MSc at HRI have some additional channels\u00a0for applying to the Ph.D. programme in addition to the regular process (details can be found on the Ph.D.) admissions page. Evaluation Process The\u00a0 evaluation of students\u00a0 in a course will typically be based on quizzes, home assignments, mid and end-semester examinations. Students are awarded letter grades in each course from which a Cumulative\u00a0Grade Point Average (CGPA) is computed. Course Structure The Masters program consists of four semesters of pedagogical lectures Semester I Semester II Semester III Semester IV Classical Mechanics Numerical Methods Condensed Matter I Particle Physics Quantum Mechanics I Quantum Mechanics II Quantum Mechanics III Elective II Electrodynamics Statistical Mechanics Quantum Field Theory I Elective III Mathematical Methods I Electronics Mathematical Methods II Project Laboratory I Laboratory II Elective I Laboratory III Elective I, II and III : Choose from \u2014\u00a0Advanced Statistical Mechanics,\u00a0Advanced Topics in General Relativity,\u00a0Astrophysics,\u00a0Computational Many Body Theory I,\u00a0Computational Materials Science,\u00a0Correlated Electron Systems,\u00a0Cosmology,\u00a0Disorder in Condensed Matter,\u00a0Fluid Mechanics,\u00a0General Relativity,\u00a0Introduction to Electronic Structure,\u00a0Matter Out of Equilibrium,\u00a0Mesoscopic Physics,\u00a0Non-linear Dynamics,\u00a0Quantum Field Theory II,\u00a0Quantum Information and Computation I,\u00a0Quantum Information and Computation II,\u00a0Quantum Many Body Theory,\u00a0Quantum Optics,\u00a0Soft Matter,\u00a0Spectroscopic Methods,\u00a0String Theory I,\u00a0Topological Quantum Matter,\u00a0Ultra Cold Atoms. Semester I Classical Mechanics A rapid review\/summary of Newtonian mechanics. Calculus of variations: Concept of variation &#8211; Euler equation &#8211; Applications &#8211; Variation subject to constraints and Lagrange multipliers. The Lagrangian formulation: Generalised coordinates and velocities &#8211; The principle of least action and the Lagrange equations of motion &#8211; Extension to constrained systems. Conservation laws: Symmetries and Noether\u2019s theorem. Integration of the Lagrange equations of motion: Motion in one dimension &#8211; The two body problem, reduced mass and the equivalent one-dimensional problem &#8211; Motion in a central field &#8211; Kepler\u2019s problem &#8211; Scattering. Small oscillations: Free, damped and forced oscillations in one dimension &#8211; Resonance &#8211; Damped and forced oscillations &#8211; Parametric resonance. Rigid body motion: Angular velocity &#8211; The inertia tensor and angular momentum of a rigid body &#8211; The equations of motion- Eulerian angles &#8211; Motion of tops &#8211; Motion in a rotating frame &#8211; Coriolis force. The Hamiltonian formulation: Hamiltonian and Hamilton equations &#8211; Poisson brackets &#8211; Dynamics in the phase space &#8211; Hamilton-Jacobi equation &#8211; Separation of variables and solutions &#8211; Action-angle variables &#8211; Adiabatic invariants. Elements of non-linear dynamics: Differential equations as dynamical systems &#8211; Lyapunov exponents. Quantum Mechanics I Basic notions: states, operators, time evolution One-dimensional problems: harmonic oscillator, periodic potential, Kronig-Penny model; Three-dimensional problems: central force potential, the hydrogen atom Charged particle in an electromagnetic field: gauge invariance, Landau levels Symmetries and conservation laws in QM: Degeneracies, Discrete symmetries Angular momentum in quantum mechanics: raising and lowering operators, angular momentum addition, Clebsch-Gordon coefficients; Tensor operators and Wigner-Eckart theorem Time-independent perturbation theory: non-degenerate and degenerate cases, Stark and Zeeman effects Semiclassical (WKB) approximation and variational methods Classical Electrodynamics Special theory of relativity and electrodynamics: Lorentz transformation of electromagnetic fields, Lorentz covariant formulation of electrodynamics; gauge invariance, Maxwell equations from action principle. The electrostatic limit of Maxwell equations, multipole expansion, uniqueness, boundary value problems, solution of Poisson equation. The magnetostatic limit of Maxwell equations, applications. Electrodynamics: motion of charges in external fields; electromagnetic waves in vacua and propagation through continuous media; energy-momentum of electromagnetic field and Poynting theorem. Advanced and retarded Green functions; Lienard-Wiechert potentials; dipole radiation and Larmor\u2019s formula; spectral resolution and angular distribution of radiation from a relativistic point charge; synchrotron radiation; Rayleigh and Thomson scattering; collision problems; Bremsstrahlung and Cerenkov radiation. Scattering of electromagnetic waves: Rayleigh and Thomson scattering, radiation damping. Mathematical Methods I Vector Analysis: operations with vectors, scalar and vector fields, gradient, curl and divergence. Line, surface, and volume integrals, Curvilinear coordinate systems, Elements of tensors. Vector Spaces, linear transformations, scalar product and dual space, bases, linear operators, eigenvalues and eigenfunctions, unitary and hermitian operators Complex Analysis: functions of a complex variable, analytic functions, integral calculus, contour integrals, Taylor and Laurent series, singularities, residues, principal values, Riemann surfaces, conformal mapping, analytic continuation Ordinary differential equations: linear ODEs, Green functions, second order differential equations: classification of singularities and local solutions, special functions Elements of statistics: probability, random walk. Probability distributions Laboratory I Forced Oscillations-Pohl\u2019s Pendulum Coupled Pendula and Chaotic oscillator Photoelectric effect Normal and Anomalous Zeeman Effect Michelson Interferometer Mach-Zehnder Interferometer Faraday Effect Millikan Oil-drop Experiment Electron Diffraction Fine Structure Semester II Quantum Mechanics II Scattering theory and applications Schrodinger and Heisenberg pictures; postulates of quantisation Time dependent perturbation theory, Interaction picture, Fermi golden rule Path integrals: propagators, amplitudes as path integrals, Semiclassical methods revisited Quantum mechanics of many particles, identical particles and symmetries of the wave-function, scattering of identical particles Relativistic quantum mechanics, Klein-Gordon and Dirac equations and their solutions, gyromagnetic ratio of the electron, relativistic corrections to the Schrodinger equation Entangled states and Bell inequalities Numerical Methods Introduction to programming languages: F77, F90 or C Errors in numerical calculations. Numerical linear algebra, eigenvalue and eigenvectors. Interpolation techniques. Generation and use of random numbers. Sorting and searching. Differentiation and Integration (including Monte Carlo techniques) Root finding algorithms Optimisation, extrema of many variable functions. ODEs and PDEs: including FFT and finite difference methods, integral equations. Statistical Mechanics Basics: phase space, distributions, notion of equilibrium, ensembles, Boltzmann distribution, partition function, calculating observables. Non interacting classical systems: few level systems, ideal gases, oscillators. Non interacting quantum systems: method of second quantisation, electrons in metals, relativistic electron systems, electrons in a strong magnetic field, lattice vibrations and phonon physics, photons, blackbody radiation,<\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"_acf_changed":false,"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"class_list":["post-13946","page","type-page","status-publish","hentry"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/pages\/13946","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/comments?post=13946"}],"version-history":[{"count":61,"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/pages\/13946\/revisions"}],"predecessor-version":[{"id":22426,"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/pages\/13946\/revisions\/22426"}],"wp:attachment":[{"href":"https:\/\/hri.bigzero.co.in\/hi\/wp-json\/wp\/v2\/media?parent=13946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}