Algebra Research Group \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&family=DM+Mono:wght@300;400;500&family=Outfit:wght@300;400;500;600&display=swap\" rel=\"stylesheet\">\n<script>MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>body{background:#eee;padding:2rem;margin:0;}<\/style>\n<\/head>\n<body>\n\n\n<style>\n:root {\n --cream:#F5F0E8;--ink:#1A1610;--rust:#B84A2F;--gold:#C99A2E;\n --slate:#3D4A5C;--mist:#E8EDF4;--rule:#C8BFA8;\n --green:#52B788;--green-bg:#EDF4EC;--green-dk:#2D6A4F;\n --garamond:'EB Garamond',Georgia,serif;\n --mono:'DM Mono',monospace;--sans:'Outfit',sans-serif;\n}\n*,*::before,*::after{box-sizing:border-box;margin:0;padding:0;}\n\n.grp-block{max-width:980px;margin:0 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4\"\/><\/svg>\n Research Groups\n <\/a>\n <div class=\"grp-hero-tag\">Mathematics Research Center \u00b7 ASOIU<\/div>\n <h1>Algebra Research Group<\/h1>\n <p class=\"grp-hero-sub\">Representation theory, biset functors, block theory and fusion systems<\/p>\n <\/div>\n\n <div class=\"grp-body\">\n\n <div class=\"grp-label\">About the Group<\/div>\n <div class=\"grp-desc\">\n <p>The Algebra Research Group focuses on the representation theory of finite groups and its modern categorical extensions. A central theme is the theory of biset functors \u2014 a framework that encodes the interplay between finite groups via the operations of induction, restriction, inflation, deflation, and isomorphism \u2014 together with their applications to block theory, fusion systems, and the study of module categories.<\/p>\n <\/div>\n\n <div class=\"grp-label grp-mt\">Members<\/div>\n <div class=\"grp-members\">\n <a class=\"grp-member-card\" href=\"\/index.php\/olcaycoskun\/\">\n <div class=\"grp-member-placeholder\">OC<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">Olcay Co\u015fkun<\/div>\n <div class=\"grp-member-role\">Senior Researcher \u00b7 Director<\/div>\n <\/div>\n <\/a>\n <a class=\"grp-member-card\" href=\"\/index.php\/associated-members\/\">\n <div class=\"grp-member-placeholder\">RM<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">Ruslan M\u00fcsl\u00fcmov<\/div>\n <div class=\"grp-member-role\">Associated Member \u00b7 ADA University<\/div>\n <\/div>\n <\/a>\n <\/div>\n\n <div class=\"grp-lower-grid\">\n\n \n <div>\n <div class=\"grp-label grp-mt\">Recent Activities<\/div>\n <div id=\"ga-list-algebra\">\n \n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n\n \n <div>\n <div class=\"grp-label grp-mt\">Announcements<\/div>\n <div id=\"ga-ann-algebra\">\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n\n <\/div>\n\n <\/div>\n<\/div>\n\n\n<script>\n(function(){\n var SITE = window.location.origin;\n\n \/\/ \u270f\ufe0f Tag ID for this group (Algebra = 24)\n \/\/ Geometry: 25 \u00b7 Graph Theory: 26 \u00b7 Number Theory: 27\n var GROUP_TAG_ID = 24;\n\n var MONTHS = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'];\n\n \/\/ \u2500\u2500 Seminar \/ event categories \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n var SEMINAR_CATS = [6, 7, 8, 15];\n var SEMINAR_MAP = {\n 6: {cls:'seminar', label:'General Seminar'},\n 7: {cls:'seminar', label:'Research Seminar'},\n 8: {cls:'seminar', label:'Student Seminar'},\n 15: {cls:'conference', label:'Conference'},\n 'default': {cls:'default', label:'Seminar'}\n };\n\n \/\/ \u2500\u2500 News categories \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n var NEWS_CATS = [19, 20, 21, 22, 23, 28];\n var NEWS_MAP = {\n 19: {cls:'publication', label:'Publication'},\n 20: {cls:'seminar-abroad', label:'Seminar abroad'},\n 21: {cls:'new-member', label:'New member'},\n 23: {cls:'award', label:'Award'},\n 28: {cls:'milestone', label:'Milestone'},\n 22: {cls:'visitor', label:'Visitor'},\n 'default': {cls:'default', label:'News'}\n };\n\n function getBadge(cats, map){\n if(cats) for(var i=0;i<cats.length;i++) if(map[cats[i]]) return map[cats[i]];\n return map['default'];\n }\n\n function renderList(posts, map, listEl, emptyMsg){\n if(!posts.length){\n listEl.innerHTML =\n '<div class=\"grp-placeholder\">' +\n '<span class=\"grp-placeholder-icon\">\ud83d\udcc5<\/span>' +\n emptyMsg +\n '<\/div>';\n return;\n }\n var html = '<ul class=\"ga-list\">';\n posts.forEach(function(p){\n var d = new Date(p.date);\n var badge = getBadge(p.categories, map);\n var title = p.title.rendered.replace(\/<[^>]+>\/g,'');\n html +=\n '<li class=\"ga-item\">' +\n '<div class=\"ga-date-box\">' +\n '<span class=\"ga-date-day\">' + d.getDate() + '<\/span>' +\n '<span class=\"ga-date-mon\">' + MONTHS[d.getMonth()] + '<\/span>' +\n '<\/div>' +\n '<div class=\"ga-content\">' +\n '<span class=\"nb-badge ' + badge.cls + '\">' + badge.label + '<\/span>' +\n '<div class=\"ga-title\">' +\n (p.link ? '<a href=\"' + p.link + '\">' + title + '<\/a>' : title) +\n '<\/div>' +\n '<\/div>' +\n '<\/li>';\n });\n html += '<\/ul>';\n listEl.innerHTML = html;\n }\n\n function fetchFeed(cats, map, listId, emptyMsg){\n var listEl = document.getElementById(listId);\n if(!listEl) return;\n var url = SITE + '\/index.php\/wp-json\/wp\/v2\/posts' +\n '?per_page=8' +\n '&tags=' + GROUP_TAG_ID +\n '&categories=' + cats.join(',') +\n '&_fields=id,date,link,title,categories' +\n '&orderby=date&order=desc';\n fetch(url)\n .then(function(r){ return r.ok ? r.json() : Promise.reject(r.status); })\n .then(function(posts){ renderList(posts, map, listEl, emptyMsg); })\n .catch(function(){\n listEl.innerHTML =\n '<div class=\"grp-placeholder\">' +\n '<span class=\"grp-placeholder-icon\">\ud83d\udcc5<\/span>' +\n emptyMsg +\n '<\/div>';\n });\n }\n\n function load(){\n \/\/ Feed 1 \u2014 Recent Activities (seminars & conferences)\n fetchFeed(\n SEMINAR_CATS,\n SEMINAR_MAP,\n 'ga-list-algebra',\n 'Seminars and conferences tagged with this group will appear here automatically.'\n );\n \/\/ Feed 2 \u2014 Announcements (news posts)\n fetchFeed(\n NEWS_CATS,\n NEWS_MAP,\n 'ga-ann-algebra',\n 'Publications, awards, and other news tagged with this group will appear here automatically.'\n );\n }\n\n document.readyState === 'loading'\n ? document.addEventListener('DOMContentLoaded', load)\n : load();\n})();\n<\/script>\n\n<\/body>\n<\/html>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Algebra Research Group \u2014 Mathematics Research Center Research Groups Mathematics Research Center \u00b7 ASOIU Algebra Research Group Representation theory, biset functors, block theory and fusion systems About the Group The Algebra Research Group focuses on the representation theory of finite groups and its modern categorical extensions. A central theme is the theory of biset functors […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-65","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=65"}],"version-history":[{"count":13,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/65\/revisions"}],"predecessor-version":[{"id":580,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/65\/revisions\/580"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":65,"date":"2026-04-14T03:28:16","date_gmt":"2026-04-14T03:28:16","guid":{"rendered":"https:\/\/mrc-baku.org\/?page_id=65"},"modified":"2026-05-01T18:05:39","modified_gmt":"2026-05-01T18:05:39","slug":"algebra","status":"publish","type":"page","link":"https:\/\/mrc-baku.org\/index.php\/algebra\/","title":{"rendered":"MRC – Algebra"},"content":{"rendered":"\n\n\n\n\n\nAlgebra Research Group \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&family=DM+Mono:wght@300;400;500&family=Outfit:wght@300;400;500;600&display=swap\" rel=\"stylesheet\">\n<script>MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>body{background:#eee;padding:2rem;margin:0;}<\/style>\n<\/head>\n<body>\n\n\n<style>\n:root {\n 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4\"\/><\/svg>\n Research Groups\n <\/a>\n <div class=\"grp-hero-tag\">Mathematics Research Center \u00b7 ASOIU<\/div>\n <h1>Algebra Research Group<\/h1>\n <p class=\"grp-hero-sub\">Representation theory, biset functors, block theory and fusion systems<\/p>\n <\/div>\n\n <div class=\"grp-body\">\n\n <div class=\"grp-label\">About the Group<\/div>\n <div class=\"grp-desc\">\n <p>The Algebra Research Group focuses on the representation theory of finite groups and its modern categorical extensions. A central theme is the theory of biset functors \u2014 a framework that encodes the interplay between finite groups via the operations of induction, restriction, inflation, deflation, and isomorphism \u2014 together with their applications to block theory, fusion systems, and the study of module categories.<\/p>\n <\/div>\n\n <div class=\"grp-label grp-mt\">Members<\/div>\n <div class=\"grp-members\">\n <a class=\"grp-member-card\" href=\"\/index.php\/olcaycoskun\/\">\n <div class=\"grp-member-placeholder\">OC<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">Olcay Co\u015fkun<\/div>\n <div class=\"grp-member-role\">Senior Researcher \u00b7 Director<\/div>\n <\/div>\n <\/a>\n <a class=\"grp-member-card\" href=\"\/index.php\/associated-members\/\">\n <div class=\"grp-member-placeholder\">RM<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">Ruslan M\u00fcsl\u00fcmov<\/div>\n <div class=\"grp-member-role\">Associated Member \u00b7 ADA University<\/div>\n <\/div>\n <\/a>\n <\/div>\n\n <div class=\"grp-lower-grid\">\n\n \n <div>\n <div class=\"grp-label grp-mt\">Recent Activities<\/div>\n <div id=\"ga-list-algebra\">\n \n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n\n \n <div>\n <div class=\"grp-label grp-mt\">Announcements<\/div>\n <div id=\"ga-ann-algebra\">\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n\n <\/div>\n\n <\/div>\n<\/div>\n\n\n<script>\n(function(){\n var SITE = window.location.origin;\n\n \/\/ \u270f\ufe0f Tag ID for this group (Algebra = 24)\n \/\/ Geometry: 25 \u00b7 Graph Theory: 26 \u00b7 Number Theory: 27\n var GROUP_TAG_ID = 24;\n\n var MONTHS = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'];\n\n \/\/ \u2500\u2500 Seminar \/ event categories \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n var SEMINAR_CATS = [6, 7, 8, 15];\n var SEMINAR_MAP = {\n 6: {cls:'seminar', label:'General Seminar'},\n 7: {cls:'seminar', label:'Research Seminar'},\n 8: {cls:'seminar', label:'Student Seminar'},\n 15: {cls:'conference', label:'Conference'},\n 'default': {cls:'default', label:'Seminar'}\n };\n\n \/\/ \u2500\u2500 News categories \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n var NEWS_CATS = [19, 20, 21, 22, 23, 28];\n var NEWS_MAP = {\n 19: {cls:'publication', label:'Publication'},\n 20: {cls:'seminar-abroad', label:'Seminar abroad'},\n 21: {cls:'new-member', label:'New member'},\n 23: {cls:'award', label:'Award'},\n 28: {cls:'milestone', label:'Milestone'},\n 22: {cls:'visitor', label:'Visitor'},\n 'default': {cls:'default', label:'News'}\n };\n\n function getBadge(cats, map){\n if(cats) for(var i=0;i<cats.length;i++) if(map[cats[i]]) return map[cats[i]];\n return map['default'];\n }\n\n function renderList(posts, map, listEl, emptyMsg){\n if(!posts.length){\n listEl.innerHTML =\n '<div class=\"grp-placeholder\">' +\n '<span class=\"grp-placeholder-icon\">\ud83d\udcc5<\/span>' +\n emptyMsg +\n '<\/div>';\n return;\n }\n var html = '<ul class=\"ga-list\">';\n posts.forEach(function(p){\n var d = new Date(p.date);\n var badge = getBadge(p.categories, map);\n var title = p.title.rendered.replace(\/<[^>]+>\/g,'');\n html +=\n '<li class=\"ga-item\">' +\n '<div class=\"ga-date-box\">' +\n '<span class=\"ga-date-day\">' + d.getDate() + '<\/span>' +\n '<span class=\"ga-date-mon\">' + MONTHS[d.getMonth()] + '<\/span>' +\n '<\/div>' +\n '<div class=\"ga-content\">' +\n '<span class=\"nb-badge ' + badge.cls + '\">' + badge.label + '<\/span>' +\n '<div class=\"ga-title\">' +\n (p.link ? 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A central theme is the theory of biset functors […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-65","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=65"}],"version-history":[{"count":13,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/65\/revisions"}],"predecessor-version":[{"id":580,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/65\/revisions\/580"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}