{"id":63,"date":"2026-04-14T03:27:37","date_gmt":"2026-04-14T03:27:37","guid":{"rendered":"https:\/\/mrc-baku.org\/?page_id=63"},"modified":"2026-04-28T11:32:25","modified_gmt":"2026-04-28T11:32:25","slug":"research","status":"publish","type":"page","link":"https:\/\/mrc-baku.org\/index.php\/research\/","title":{"rendered":"MRC &#8211; Research"},"content":{"rendered":"\n<script>MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>\n:root{--cream:#F5F0E8;--ink:#1A1610;--rust:#B84A2F;--gold:#C99A2E;--slate:#3D4A5C;--mist:#E8EDF4;--rule:#C8BFA8;--garamond:\"EB Garamond\",Georgia,serif;--mono:\"DM Mono\",monospace;--sans:\"Outfit\",sans-serif;}\n*,*::before,*::after{box-sizing:border-box;margin:0;padding:0;}\n.ro-block{max-width:980px;margin:0 auto;background:var(--cream);border:1px solid var(--rule);box-shadow:4px 4px 0 var(--rule),8px 8px 0 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.ro-groups{grid-template-columns:1fr;}\n  .ro-themes{grid-template-columns:1fr;}\n}\n<\/style>\n\n<div class=\"ro-block\">\n  <div class=\"ro-hero\">\n    <div class=\"ro-hero-tag\">Mathematics Research Center \u00b7 ASOIU<\/div>\n    <h1>Research<\/h1>\n    <p class=\"ro-hero-sub\">Fundamental mathematics across four interconnected disciplines<\/p>\n  <\/div>\n\n  <div class=\"ro-body\">\n\n    <div class=\"ro-label\">Overview<\/div>\n    <div class=\"ro-lead\">\n      <p>Research at the MRC is organized around four principal areas: Algebra, Geometry, Graph Theory and its Applications, and Number Theory. \n<\/p>\n    <\/div>\n    <div class=\"ro-label\">Research Groups<\/div>\n    <div class=\"ro-groups\">\n\n      <a class=\"ro-group-card\" href=\"https:\/\/mrc-baku.org\/index.php\/algebra\/\">\n        <div class=\"ro-group-card-top algebra\"><span class=\"ro-group-dot\"><\/span><span class=\"ro-group-label\">Algebra<\/span><\/div>\n        <div class=\"ro-group-body\">\n          <div class=\"ro-group-name\">Algebra Research Group<\/div>\n          <div class=\"ro-group-desc\">Representation theory of finite groups, biset functors, block theory, fusion systems, and Burnside rings, homological algebra, algebraic combinatorics.<\/div>\n          <div class=\"ro-group-members\">Olcay Co\u015fkun \u00b7 Ruslan M\u00fcsl\u00fcmov<\/div>\n          <div class=\"ro-group-link\">View group \u2192<\/div>\n        <\/div>\n      <\/a>\n\n      <a class=\"ro-group-card\" href=\"\/index.php\/geometry\">\n        <div class=\"ro-group-card-top geometry\"><span class=\"ro-group-dot\"><\/span><span class=\"ro-group-label\">Geometry<\/span><\/div>\n        <div class=\"ro-group-body\">\n          <div class=\"ro-group-name\">Noncommutative Geometry Research Group<\/div>\n          <div class=\"ro-group-desc\">Associative algebras, differential graded algebras, Hopf algebras, and Woronowicz differential calculi.<\/div>\n          <div class=\"ro-group-members\">Keegan Flood<\/div>\n          <div class=\"ro-group-link\">View group \u2192<\/div>\n        <\/div>\n      <\/a>\n\n      <a class=\"ro-group-card\" href=\"\/index.php\/graphtheory\">\n        <div class=\"ro-group-card-top graph\"><span class=\"ro-group-dot\"><\/span><span class=\"ro-group-label\">Graph Theory and Its Applications<\/span><\/div>\n        <div class=\"ro-group-body\">\n          <div class=\"ro-group-name\">Graph Theory &amp; Its Applications<\/div>\n          <div class=\"ro-group-desc\">Graph theory, graph modeling and graph applications.<\/div>\n          <div class=\"ro-group-members\">T\u00fcrker B\u0131y\u0131ko\u011flu<\/div>\n          <div class=\"ro-group-link\">View group \u2192<\/div>\n        <\/div>\n      <\/a>\n\n      <a class=\"ro-group-card\" href=\"\/index.php\/numbertheory\">\n        <div class=\"ro-group-card-top number\"><span class=\"ro-group-dot\"><\/span><span class=\"ro-group-label\">Number Theory<\/span><\/div>\n        <div class=\"ro-group-body\">\n          <div class=\"ro-group-name\">Number Theory Group<\/div>\n          <div class=\"ro-group-desc\">Analytic number theory, \\(L\\)-functions, sieve methods, Iwasawa theory, \\(p\\)-adic \\(L\\)-functions, and Euler systems.<\/div>\n          <div class=\"ro-group-members\">Ertan Elma \u00b7 F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/div>\n          <div class=\"ro-group-link\">View group \u2192<\/div>\n        <\/div>\n      <\/a>\n\n    <\/div>\n<!--\n    <div class=\"ro-label ro-mt\">Cross-cutting Themes<\/div>\n    <div class=\"ro-themes\">\n      <div class=\"ro-theme\">\n        <div class=\"ro-theme-title\">Categorical methods<\/div>\n        <div class=\"ro-theme-text\">Category theory permeates MRC's work \u2014 from biset functors and Green functors in algebra to jet functors and differential calculi in geometry.<\/div>\n      <\/div>\n      <div class=\"ro-theme\">\n        <div class=\"ro-theme-title\">Spectral theory<\/div>\n        <div class=\"ro-theme-text\">Spectral methods connect graph theory (Laplacian eigenvalues, graph entropy) with geometry (differential operators, principal symbols) and number theory (\\(L\\)-function moments).<\/div>\n      <\/div>\n      <div class=\"ro-theme\">\n        <div class=\"ro-theme-title\">Local-global principles<\/div>\n        <div class=\"ro-theme-text\">A unifying thread across algebra (block theory conjectures), number theory (Iwasawa theory, BSD conjecture), and geometry (parabolic BGG sequences).<\/div>\n      <\/div>\n    <\/div>\n-->\n    <div class=\"ro-links-row\">\n      <a class=\"ro-cta-btn primary\" href=\"\/index.php\/seminars\/\">\n        Seminars\n        <svg viewBox=\"0 0 10 10\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\"><path d=\"M1 5h8M5 1l4 4-4 4\"\/><\/svg>\n      <\/a>\n      <a class=\"ro-cta-btn secondary\" href=\"\/index.php\/publications\/\">\n        Publications\n        <svg viewBox=\"0 0 10 10\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\"><path d=\"M1 5h8M5 1l4 4-4 4\"\/><\/svg>\n      <\/a>\n    <\/div>\n\n  <\/div>\n<\/div>\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics Research Center \u00b7 ASOIU Research Fundamental mathematics across four interconnected disciplines Overview Research at the MRC is organized around four principal areas: Algebra, Geometry, Graph Theory and its Applications, and Number Theory. Research Groups Algebra Algebra Research Group Representation theory of finite groups, biset functors, block theory, fusion systems, and Burnside rings, homological algebra, [&hellip;]<\/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-63","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/63","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=63"}],"version-history":[{"count":10,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/63\/revisions"}],"predecessor-version":[{"id":517,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/63\/revisions\/517"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=63"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}