MRC Activity Report \u2014 Aug 2025 \u2013 Feb 2026<\/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>window.MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>\nbody { background: #e8e4dc; padding: 2rem; margin: 0; }\n\n.print-btn {\n display: block; text-align: right; max-width: 850px; margin: 0 auto 0.8rem;\n}\n.print-btn button {\n font-family: 'DM Mono', monospace; font-size: 0.62rem; letter-spacing: 0.1em;\n text-transform: uppercase; padding: 0.4rem 1rem;\n border: 1px solid #C8BFA8; background: #F5F0E8; color: #7A6E60;\n cursor: pointer; transition: all 0.15s;\n}\n.print-btn button:hover { background: #3D4A5C; color: #F5F0E8; 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}\n ul.explicit-list li { grid-template-columns: 1fr; gap: 0.15rem; }\n .highlight-grid { grid-template-columns: repeat(2, 1fr); }\n}\n<\/style>\n<\/head>\n<body>\n\n<div class=\"print-btn\">\n <button onclick=\"window.print()\">\u2399 Print \/ Save PDF<\/button>\n<\/div>\n\n<div class=\"report-paper\">\n\n <header class=\"mrc-brand\">\n <div>\n Azerbaijan State Oil and Industry University<br>\n Mathematics Research Center\n <\/div>\n <div style=\"text-align:right;\">\n <span class=\"mrc-brand-logo\"><a href=\"https:\/\/mrc-baku.org\">mrc-baku.org<\/a><\/span><br>\n Baku, Azerbaijan\n <\/div>\n <\/header>\n\n <h1>Activity Report<\/h1>\n <p class=\"report-meta\">REF: MRC\/2026\/AR-00 \u00b7 PERIOD: AUGUST 1, 2025 \u2014 FEBRUARY 28, 2026<\/p>\n <p class=\"report-subtitle\">Foundational Period Report \u2014 Submitted to the Rector of ASOIU by Olcay Co\u015fkun, Director<\/p>\n\n\n <section>\n <h2><span class=\"h2-num\">01<\/span> Introduction<\/h2>\n <p>This report documents the founding period of the Mathematics Research Center (MRC), established in August 2025 under the Azerbaijan State Oil and Industry University (ASOIU) with the support of the Ministry of Science and Education. The period covered \u2014 August 2025 through February 2026 \u2014 saw the Center build its research team, launch a regular seminar programme, host international visitors, organise an international conference, produce research publications, and begin construction of a professional digital presence.<\/p>\n <p>Within six months of its founding, MRC had already established itself as a functioning international research centre, with researchers from Azerbaijan, Turkey, Ireland, and Switzerland contributing to its scientific life.<\/p>\n\n <div class=\"highlight-grid\">\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">4<\/span>\n <span class=\"highlight-label\">Core faculty members<\/span>\n <\/div>\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">10<\/span>\n <span class=\"highlight-label\">Seminars held<\/span>\n <\/div>\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">4<\/span>\n <span class=\"highlight-label\">Papers published or accepted<\/span>\n <\/div>\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">1<\/span>\n <span class=\"highlight-label\">International conference<\/span>\n <\/div>\n <\/div>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">02<\/span> Research Personnel<\/h2>\n <p>MRC recruited its founding team of four researchers, combining established international academics with talented early-career mathematicians. All members hold doctoral degrees from leading research universities and have active international research programmes.<\/p>\n\n <h3>Founding Members<\/h3>\n <div class=\"member-grid\">\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/olcaycoskun\/\">Olcay Co\u015fkun<\/a><\/div>\n <div class=\"member-role\">Director \u00b7 Senior Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: AUGUST 2025 \u00b7 <a href=\"https:\/\/orcid.org\/0000-0001-7649-560X\">ORCID<\/a><\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Representation theory of finite groups, biset functors, category algebras, block theory, fusion systems<\/div>\n <\/div>\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/turkerbiyikoglu\/\">T\u00fcrker B\u0131y\u0131ko\u011flu<\/a><\/div>\n <div class=\"member-role\">Senior Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: AUGUST 2025<\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Spectral graph theory, graph entropy, graph modelling, network analysis, bioinformatics applications<\/div>\n <\/div>\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/ertanelma\/\">Ertan Elma<\/a><\/div>\n <div class=\"member-role\">Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: AUGUST 2025<\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Analytic number theory, Dirichlet L-functions, Riemann zeta function, distribution of primes<\/div>\n <\/div>\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/firtinakucuk\/\">F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/a><\/div>\n <div class=\"member-role\">Postdoctoral Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: NOVEMBER 2025<\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Algebraic number theory, Iwasawa theory, p-adic L-functions, arithmetic geometry<\/div>\n <\/div>\n\n <\/div>\n\n <h3>Associated Members<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">ADA Univ.<\/span>\n <div class=\"item-content\">\n <strong><a href=\"https:\/\/mrc-baku.org\/index.php\/associated-members\/\">Ruslan M\u00fcsl\u00fcmov<\/a><\/strong>\n <em>Algebra \u2014 biset functors, Green biset functors, module categories<\/em>\n <\/div>\n <\/li>\n <\/ul>\n\n <h3>Incoming Members (Spring\u2013Summer 2026)<\/h3>\n <div class=\"member-grid\">\n\n <div class=\"member-card incoming\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/keeganflood\/\">Keegan Flood<\/a><\/div>\n <div class=\"member-role\">Researcher \u2014 Expected March 2026<\/div>\n <\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Noncommutative geometry, jet bundles, differential operators, parabolic geometry<\/div>\n <\/div>\n\n <div class=\"member-card incoming\">\n <div class=\"member-header\">\n <div class=\"member-name\">Erkko Lehtonen<\/div>\n <div class=\"member-role\">Senior Researcher \u2014 Expected June 2026<\/div>\n <\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Universal algebra, associative spectra, graph algebras, quasigroups<\/div>\n <\/div>\n\n <\/div>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">03<\/span> Scientific Seminars<\/h2>\n <p>A regular seminar programme was launched immediately upon the Center’s founding. General seminars are open to all faculty and students of ASOIU and partner institutions; research seminars are more specialised and targeted at active researchers. All seminars are held at UFAZ or the BSU Digital Research Lab, and abstracts are published on the MRC website.<\/p>\n\n <h3>Autumn 2025<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">Oct 09<\/span>\n <div class=\"item-content\">\n <strong>T\u00fcrker B\u0131y\u0131ko\u011flu \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-turker-biyikoglu\/\">Graph entropy, degree assortativity, and hierarchical structures in networks<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Oct 23<\/span>\n <div class=\"item-content\">\n <strong>Ertan Elma \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-ertan-elma\/\">A Discrete Mean Value of the Riemann Zeta Function and its Derivatives<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Nov 06<\/span>\n <div class=\"item-content\">\n <strong>Azer Akhmedov \u2014 North Dakota State University, USA<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-azer-akhmedov\/\">Tiles of Groups<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 406 \u00b7 10:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Nov 13<\/span>\n <div class=\"item-content\">\n <strong>Lola Thompson \u2014 Utrecht University, Netherlands<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-lola-thompson-utrecht-university-netherlands\/\">On a conjecture of Erd\u0151s, Granville, Pomerance, and Spiro<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Dec 01<\/span>\n <div class=\"item-content\">\n <strong>Erkko Lehtonen \u2014 Khalifa University, UAE<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-erkko-lehtonen-khalifa-university-uae\/\">The associative spectrum of a binary operation<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Dec 18<\/span>\n <div class=\"item-content\">\n <strong>F\u0131rt\u0131na K\u00fc\u00e7\u00fck \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-firtina-kucuk\/\">\\(p\\)-adic Artin formalism and factorization of algebraic adjoint \\(p\\)-adic \\(L\\)-functions<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <h3>Spring 2026 (January\u2013February)<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">Jan 29<\/span>\n <div class=\"item-content\">\n <strong>K\u00fcbra Benli \u2014 Bo\u011fazi\u00e7i University, T\u00fcrkiye<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-kubra-benli-bogazici-university-turkiye\/\">Prime numbers in residue classes<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Feb 12<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-olcay-coskun\/\">Functor of \\(p\\)-permutation modules<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Feb 19<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/research-seminar-by-olcay-coskun\/\">Sorting and generating reduced words of permutations<\/a><\/em>\n <span class=\"item-venue\">Research Seminar \u00b7 MRC @ UFAZ 405 \u00b7 13:30<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Feb 26<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-olcay-coskun-2\/\">From symmetries to functors: an overview of functorial representation theory<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 203 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <a href=\"https:\/\/mrc-baku.org\/index.php\/seminars\/\" class=\"btn-archive\">\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 Full seminar archive\n <\/a>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">04<\/span> Scientific Output & Collaborations<\/h2>\n\n <h3>Published & Accepted (2025\u20132026)<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun, Alp Eden, Ersin Karabudak<\/strong>\n <em>Revisiting a 19th Century Vector Algebra Book<\/em>\n <span class=\"item-venue\">Journal of Humanistic Mathematics 15(2) (2025), 146\u2013185<\/span>\n <div class=\"item-links\">\n <a class=\"item-link publisher\" href=\"https:\/\/scholarship.claremont.edu\/jhm\/vol15\/iss2\/8\/\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Fatihcan M. Atay, T\u00fcrker B\u0131y\u0131ko\u011flu<\/strong>\n <em>Graph entropy, degree assortativity, and hierarchical structures in networks<\/em>\n <span class=\"item-venue\">Physical Review E 112, 064315 (2025)<\/span>\n <div class=\"item-links\">\n <a class=\"item-link publisher\" href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/6kxf-qn44\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>B. Chahal, E. Elma, N. Fellini, A. Vatwani, D. N. T. Vo<\/strong>\n <em>On the second Hardy\u2013Littlewood conjecture<\/em>\n <span class=\"item-venue\">Acta Arithmetica 223 (2026) 185\u2013196 (accepted 2025)<\/span>\n <div class=\"item-links\">\n <a class=\"item-link publisher\" href=\"https:\/\/www.impan.pl\/en\/publishing-house\/journals-and-series\/acta-arithmetica\/online\/116375\/\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2026<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Deniz Y\u0131lmaz<\/strong>\n <em>\\(p\\)-bifree biset functors<\/em>\n <span class=\"item-venue\">Journal of Algebra (accepted 2026)<\/span>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2505.16719\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <h3>Preprints & Under Review<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Alp Eden<\/strong>\n <em>An Exceptional 7-dimensional Real Algebra: Octonions, \\(G_2\\), and the Fano Plane<\/em>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2511.09395v2\">arXiv:2511.09395<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Ruslan M\u00fcsl\u00fcmov<\/strong>\n <em>A Categorical Decomposition of \\(\\mathbb{C}^\\times\\)-fibered \\(p\\)-biset Functors<\/em>\n <span class=\"item-venue\">Subsequently accepted: Journal of Algebra 701 (2026) 779\u2013821<\/span>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2505.15163\">arXiv<\/a>\n <a class=\"item-link publisher\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0021869326002322\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>\u0130brahim Kaan Aslan & Olcay Co\u015fkun<\/strong>\n <em>\\(p\\)-Biset Functor of Monomial Burnside Rings I: Composition Factors<\/em>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2505.15150\">arXiv:2505.15150<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <h3>Active Collaborations<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Ruslan M\u00fcsl\u00fcmov (ADA University)<\/strong>\n <em>Reduced pairs for section Burnside functors<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & <a href=\"https:\/\/www.fen.bilkent.edu.tr\/~yalcine\/\">Erg\u00fcn Yal\u00e7\u0131n<\/a> (Bilkent University)<\/strong>\n <em>Relative Dade groups<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Deniz Y\u0131lmaz (Bilkent University)<\/strong>\n <em>\\(p\\)-bifree functor structure of block functors<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong><a href=\"https:\/\/math.ucsc.edu\/about\/bio.php?uid=boltje\">Robert Boltje<\/a> (UC Santa Cruz) & Olcay Co\u015fkun<\/strong>\n <em>The functor of \\(p\\)-permutation modules<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Graph Th.<\/span>\n <div class=\"item-content\">\n <strong>T\u00fcrker B\u0131y\u0131ko\u011flu & Mehmet Can Yavuz (I\u015f\u0131k University)<\/strong>\n <em>Evaluating latent space: coupling-matrix and its off-diagonals<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Number Th.<\/span>\n <div class=\"item-content\">\n <strong>Kaz\u0131m B\u00fcy\u00fckboduk (University College Dublin) & F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/strong>\n <em>Algebraic adjoint \\(p\\)-adic \\(L\\)-functions around \\(\\theta\\)-critical points of the eigencurve<\/em>\n <\/div>\n <\/li>\n <\/ul>\n\n <a href=\"https:\/\/mrc-baku.org\/index.php\/publications\/\" class=\"btn-archive\">\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 Full publications list\n <\/a>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">05<\/span> Educational & Academic Services<\/h2>\n\n <h3>Student Supervision<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">PhD<\/span>\n <div class=\"item-content\">\n <strong>Mustafa Akda\u011f \u2014 Bo\u011fazi\u00e7i University<\/strong>\n <em>Structure of the Monomial Burnside functor<\/em>\n <span class=\"item-venue\">Supervisor: Olcay Co\u015fkun<\/span>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">UG Project<\/span>\n <div class=\"item-content\">\n <strong>Nuray \u0130smayilli \u2014 ADA University<\/strong>\n <em>The Game of Cycles<\/em>\n <span class=\"item-venue\">Supervisor: T\u00fcrker B\u0131y\u0131ko\u011flu<\/span>\n <\/div>\n <\/li>\n <\/ul>\n\n <h3>Academic Service<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">Peer Review<\/span>\n <div class=\"item-content\">\n <strong>Journal refereeing<\/strong>\n <em>MRC members refereed a total of 5 papers for leading international mathematics journals during this period.<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">AMS<\/span>\n <div class=\"item-content\">\n <strong>AMS Mathematical Reviews<\/strong>\n <em>Ertan Elma serves as an active reviewer for the American Mathematical Society’s Mathematical Reviews database.<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Outreach<\/span>\n <div class=\"item-content\">\n <strong>Path to Math \u2014 Baku student community<\/strong>\n <em>Ertan Elma maintains regular engagement with the mathematics student community in Baku, contributing to the Path to Math club for mathematics majors.<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Internal<\/span>\n <div class=\"item-content\">\n <strong>Hiring & Seminar Committees<\/strong>\n <em>All MRC members participate in the hiring committee and the seminar organisation committee.<\/em>\n <\/div>\n <\/li>\n <\/ul>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">06<\/span> Conference & International Visitors<\/h2>\n\n <h3>Conference Organised by MRC<\/h3>\n <div class=\"conf-box\">\n <div class=\"conf-box-date\">June 18\u201320, 2025 \u00b7 UFAZ Campus, ASOIU, Baku<\/div>\n <div class=\"conf-box-title\">\n <a href=\"https:\/\/mrc-baku.org\/index.php\/workshops-conferences\/\">Finite Groups and Their Representations (FGTR 2025)<\/a>\n <\/div>\n <p class=\"conf-box-meta\">The first international conference organised by MRC brought together researchers in representation theory of finite groups from Turkey, the United States, and Azerbaijan. The conference was fully funded and administered by MRC and received wide participation from the international community.<\/p>\n <p class=\"conf-box-speakers\"><strong>Invited Speakers:<\/strong>\n <a href=\"https:\/\/fen.bilkent.edu.tr\/~barker\/\">Laurence Barker<\/a> (Bilkent University),\n <a href=\"https:\/\/math.ucsc.edu\/about\/bio.php?uid=boltje\">Robert Boltje<\/a> (UC Santa Cruz),\n Yasir K\u0131zmaz (Bilkent University),\n Nariel Monteiro (UC Santa Cruz),\n <a href=\"https:\/\/mrc-baku.org\/index.php\/associated-members\/\">Ruslan M\u00fcsl\u00fcmov<\/a> (ADA University),\n \u0130pek Tuvay (Mimar Sinan Fine Arts University),\n Deniz Y\u0131lmaz (Bilkent University).\n <\/p>\n <\/div>\n\n <h3>Hosted Visitors<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">Nov 29\u2013Dec 2<\/span>\n <div class=\"item-content\">\n <strong>Erkko Lehtonen \u2014 Khalifa University, UAE<\/strong>\n <em>Research focus: universal algebra and graph algebras. Delivered a general seminar on December 1.<\/em>\n <span class=\"item-venue\">Host: Olcay Co\u015fkun<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Nov 12\u201316<\/span>\n <div class=\"item-content\">\n <strong>Lola Thompson \u2014 Utrecht University, Netherlands<\/strong>\n <em>Research focus: analytic number theory and the Erd\u0151s\u2013Granville\u2013Pomerance\u2013Spiro conjecture. Delivered a general seminar on November 13.<\/em>\n <span class=\"item-venue\">Host: Ertan Elma<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Jan 28\u201329<\/span>\n <div class=\"item-content\">\n <strong>K\u00fcbra Benli \u2014 Bo\u011fazi\u00e7i University, T\u00fcrkiye<\/strong>\n <em>Research focus: prime numbers in residue classes. Delivered a general seminar on January 29.<\/em>\n <span class=\"item-venue\">Host: Ertan Elma<\/span>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <a href=\"https:\/\/mrc-baku.org\/index.php\/visitors\/\" class=\"btn-archive\">\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 Full visitor records\n <\/a>\n <\/section>\n\n\n\n <a href=\"https:\/\/mrc-baku.org\" class=\"btn-archive\">\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 Visit mrc-baku.org\n <\/a>\n\n\n <footer class=\"report-footer\">\n <span>Olcay Co\u015fkun \u00b7 Director, Mathematics Research Center<\/span>\n <span>February 2026 \u00b7 <a href=\"https:\/\/mrc-baku.org\">mrc-baku.org<\/a><\/span>\n <\/footer>\n\n<\/div>\n<\/body>\n<\/html>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>MRC Activity Report \u2014 Aug 2025 \u2013 Feb 2026 \u2399 Print \/ Save PDF Azerbaijan State Oil and Industry University Mathematics Research Center mrc-baku.org Baku, Azerbaijan Activity Report REF: MRC\/2026\/AR-00 \u00b7 PERIOD: AUGUST 1, 2025 \u2014 FEBRUARY 28, 2026 Foundational Period Report \u2014 Submitted to the Rector of ASOIU by Olcay Co\u015fkun, Director 01 Introduction […]<\/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-740","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/740","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=740"}],"version-history":[{"count":4,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/740\/revisions"}],"predecessor-version":[{"id":761,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/740\/revisions\/761"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":740,"date":"2026-05-14T05:34:02","date_gmt":"2026-05-14T05:34:02","guid":{"rendered":"https:\/\/mrc-baku.org\/?page_id=740"},"modified":"2026-05-14T18:32:56","modified_gmt":"2026-05-14T18:32:56","slug":"mrc-asoiu-reports-2025-1","status":"publish","type":"page","link":"https:\/\/mrc-baku.org\/index.php\/mrc-asoiu-reports-2025-1\/","title":{"rendered":"MRC – ASOIU Reports – 2025-1"},"content":{"rendered":"\n\n\n\n\n\nMRC Activity Report \u2014 Aug 2025 \u2013 Feb 2026<\/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>window.MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>\nbody { background: #e8e4dc; padding: 2rem; margin: 0; 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padding: 0; }\n .print-btn { display: none; }\n .report-paper { margin: 0; border: none; box-shadow: none; padding: 3cm 3.5cm; max-width: 100%; }\n .report-paper::before { display: none; }\n .btn-archive { display: none; }\n .item-links { display: none; }\n .report-paper a { color: var(--ink) !important; border-bottom: none !important; }\n section { page-break-inside: avoid; }\n}\n\n@media(max-width:680px) {\n .report-paper { padding: 2.5rem 1.8rem; }\n ul.explicit-list li { grid-template-columns: 1fr; gap: 0.15rem; }\n .highlight-grid { grid-template-columns: repeat(2, 1fr); }\n}\n<\/style>\n<\/head>\n<body>\n\n<div class=\"print-btn\">\n <button onclick=\"window.print()\">\u2399 Print \/ Save PDF<\/button>\n<\/div>\n\n<div class=\"report-paper\">\n\n <header class=\"mrc-brand\">\n <div>\n Azerbaijan State Oil and Industry University<br>\n Mathematics Research Center\n <\/div>\n <div style=\"text-align:right;\">\n <span class=\"mrc-brand-logo\"><a href=\"https:\/\/mrc-baku.org\">mrc-baku.org<\/a><\/span><br>\n Baku, Azerbaijan\n <\/div>\n <\/header>\n\n <h1>Activity Report<\/h1>\n <p class=\"report-meta\">REF: MRC\/2026\/AR-00 \u00b7 PERIOD: AUGUST 1, 2025 \u2014 FEBRUARY 28, 2026<\/p>\n <p class=\"report-subtitle\">Foundational Period Report \u2014 Submitted to the Rector of ASOIU by Olcay Co\u015fkun, Director<\/p>\n\n\n <section>\n <h2><span class=\"h2-num\">01<\/span> Introduction<\/h2>\n <p>This report documents the founding period of the Mathematics Research Center (MRC), established in August 2025 under the Azerbaijan State Oil and Industry University (ASOIU) with the support of the Ministry of Science and Education. The period covered \u2014 August 2025 through February 2026 \u2014 saw the Center build its research team, launch a regular seminar programme, host international visitors, organise an international conference, produce research publications, and begin construction of a professional digital presence.<\/p>\n <p>Within six months of its founding, MRC had already established itself as a functioning international research centre, with researchers from Azerbaijan, Turkey, Ireland, and Switzerland contributing to its scientific life.<\/p>\n\n <div class=\"highlight-grid\">\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">4<\/span>\n <span class=\"highlight-label\">Core faculty members<\/span>\n <\/div>\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">10<\/span>\n <span class=\"highlight-label\">Seminars held<\/span>\n <\/div>\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">4<\/span>\n <span class=\"highlight-label\">Papers published or accepted<\/span>\n <\/div>\n <div class=\"highlight-card\">\n <span class=\"highlight-val\">1<\/span>\n <span class=\"highlight-label\">International conference<\/span>\n <\/div>\n <\/div>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">02<\/span> Research Personnel<\/h2>\n <p>MRC recruited its founding team of four researchers, combining established international academics with talented early-career mathematicians. All members hold doctoral degrees from leading research universities and have active international research programmes.<\/p>\n\n <h3>Founding Members<\/h3>\n <div class=\"member-grid\">\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/olcaycoskun\/\">Olcay Co\u015fkun<\/a><\/div>\n <div class=\"member-role\">Director \u00b7 Senior Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: AUGUST 2025 \u00b7 <a href=\"https:\/\/orcid.org\/0000-0001-7649-560X\">ORCID<\/a><\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Representation theory of finite groups, biset functors, category algebras, block theory, fusion systems<\/div>\n <\/div>\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/turkerbiyikoglu\/\">T\u00fcrker B\u0131y\u0131ko\u011flu<\/a><\/div>\n <div class=\"member-role\">Senior Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: AUGUST 2025<\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Spectral graph theory, graph entropy, graph modelling, network analysis, bioinformatics applications<\/div>\n <\/div>\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/ertanelma\/\">Ertan Elma<\/a><\/div>\n <div class=\"member-role\">Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: AUGUST 2025<\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Analytic number theory, Dirichlet L-functions, Riemann zeta function, distribution of primes<\/div>\n <\/div>\n\n <div class=\"member-card\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/firtinakucuk\/\">F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/a><\/div>\n <div class=\"member-role\">Postdoctoral Researcher<\/div>\n <\/div>\n <div class=\"member-meta\">JOINED: NOVEMBER 2025<\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Algebraic number theory, Iwasawa theory, p-adic L-functions, arithmetic geometry<\/div>\n <\/div>\n\n <\/div>\n\n <h3>Associated Members<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">ADA Univ.<\/span>\n <div class=\"item-content\">\n <strong><a href=\"https:\/\/mrc-baku.org\/index.php\/associated-members\/\">Ruslan M\u00fcsl\u00fcmov<\/a><\/strong>\n <em>Algebra \u2014 biset functors, Green biset functors, module categories<\/em>\n <\/div>\n <\/li>\n <\/ul>\n\n <h3>Incoming Members (Spring\u2013Summer 2026)<\/h3>\n <div class=\"member-grid\">\n\n <div class=\"member-card incoming\">\n <div class=\"member-header\">\n <div class=\"member-name\"><a href=\"https:\/\/mrc-baku.org\/index.php\/keeganflood\/\">Keegan Flood<\/a><\/div>\n <div class=\"member-role\">Researcher \u2014 Expected March 2026<\/div>\n <\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Noncommutative geometry, jet bundles, differential operators, parabolic geometry<\/div>\n <\/div>\n\n <div class=\"member-card incoming\">\n <div class=\"member-header\">\n <div class=\"member-name\">Erkko Lehtonen<\/div>\n <div class=\"member-role\">Senior Researcher \u2014 Expected June 2026<\/div>\n <\/div>\n <div class=\"member-research\"><strong>Research:<\/strong> Universal algebra, associative spectra, graph algebras, quasigroups<\/div>\n <\/div>\n\n <\/div>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">03<\/span> Scientific Seminars<\/h2>\n <p>A regular seminar programme was launched immediately upon the Center’s founding. General seminars are open to all faculty and students of ASOIU and partner institutions; research seminars are more specialised and targeted at active researchers. All seminars are held at UFAZ or the BSU Digital Research Lab, and abstracts are published on the MRC website.<\/p>\n\n <h3>Autumn 2025<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">Oct 09<\/span>\n <div class=\"item-content\">\n <strong>T\u00fcrker B\u0131y\u0131ko\u011flu \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-turker-biyikoglu\/\">Graph entropy, degree assortativity, and hierarchical structures in networks<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Oct 23<\/span>\n <div class=\"item-content\">\n <strong>Ertan Elma \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-ertan-elma\/\">A Discrete Mean Value of the Riemann Zeta Function and its Derivatives<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Nov 06<\/span>\n <div class=\"item-content\">\n <strong>Azer Akhmedov \u2014 North Dakota State University, USA<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-azer-akhmedov\/\">Tiles of Groups<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 406 \u00b7 10:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Nov 13<\/span>\n <div class=\"item-content\">\n <strong>Lola Thompson \u2014 Utrecht University, Netherlands<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-lola-thompson-utrecht-university-netherlands\/\">On a conjecture of Erd\u0151s, Granville, Pomerance, and Spiro<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Dec 01<\/span>\n <div class=\"item-content\">\n <strong>Erkko Lehtonen \u2014 Khalifa University, UAE<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-erkko-lehtonen-khalifa-university-uae\/\">The associative spectrum of a binary operation<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Dec 18<\/span>\n <div class=\"item-content\">\n <strong>F\u0131rt\u0131na K\u00fc\u00e7\u00fck \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-firtina-kucuk\/\">\\(p\\)-adic Artin formalism and factorization of algebraic adjoint \\(p\\)-adic \\(L\\)-functions<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <h3>Spring 2026 (January\u2013February)<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">Jan 29<\/span>\n <div class=\"item-content\">\n <strong>K\u00fcbra Benli \u2014 Bo\u011fazi\u00e7i University, T\u00fcrkiye<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-kubra-benli-bogazici-university-turkiye\/\">Prime numbers in residue classes<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Feb 12<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-olcay-coskun\/\">Functor of \\(p\\)-permutation modules<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 101 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Feb 19<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/research-seminar-by-olcay-coskun\/\">Sorting and generating reduced words of permutations<\/a><\/em>\n <span class=\"item-venue\">Research Seminar \u00b7 MRC @ UFAZ 405 \u00b7 13:30<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Feb 26<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun \u2014 MRC, ASOIU<\/strong>\n <em><a href=\"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-olcay-coskun-2\/\">From symmetries to functors: an overview of functorial representation theory<\/a><\/em>\n <span class=\"item-venue\">General Seminar \u00b7 MRC @ UFAZ 203 \u00b7 14:00<\/span>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <a href=\"https:\/\/mrc-baku.org\/index.php\/seminars\/\" class=\"btn-archive\">\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 Full seminar archive\n <\/a>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">04<\/span> Scientific Output & Collaborations<\/h2>\n\n <h3>Published & Accepted (2025\u20132026)<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun, Alp Eden, Ersin Karabudak<\/strong>\n <em>Revisiting a 19th Century Vector Algebra Book<\/em>\n <span class=\"item-venue\">Journal of Humanistic Mathematics 15(2) (2025), 146\u2013185<\/span>\n <div class=\"item-links\">\n <a class=\"item-link publisher\" href=\"https:\/\/scholarship.claremont.edu\/jhm\/vol15\/iss2\/8\/\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Fatihcan M. Atay, T\u00fcrker B\u0131y\u0131ko\u011flu<\/strong>\n <em>Graph entropy, degree assortativity, and hierarchical structures in networks<\/em>\n <span class=\"item-venue\">Physical Review E 112, 064315 (2025)<\/span>\n <div class=\"item-links\">\n <a class=\"item-link publisher\" href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/6kxf-qn44\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>B. Chahal, E. Elma, N. Fellini, A. Vatwani, D. N. T. Vo<\/strong>\n <em>On the second Hardy\u2013Littlewood conjecture<\/em>\n <span class=\"item-venue\">Acta Arithmetica 223 (2026) 185\u2013196 (accepted 2025)<\/span>\n <div class=\"item-links\">\n <a class=\"item-link publisher\" href=\"https:\/\/www.impan.pl\/en\/publishing-house\/journals-and-series\/acta-arithmetica\/online\/116375\/\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2026<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Deniz Y\u0131lmaz<\/strong>\n <em>\\(p\\)-bifree biset functors<\/em>\n <span class=\"item-venue\">Journal of Algebra (accepted 2026)<\/span>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2505.16719\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <h3>Preprints & Under Review<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Alp Eden<\/strong>\n <em>An Exceptional 7-dimensional Real Algebra: Octonions, \\(G_2\\), and the Fano Plane<\/em>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2511.09395v2\">arXiv:2511.09395<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Ruslan M\u00fcsl\u00fcmov<\/strong>\n <em>A Categorical Decomposition of \\(\\mathbb{C}^\\times\\)-fibered \\(p\\)-biset Functors<\/em>\n <span class=\"item-venue\">Subsequently accepted: Journal of Algebra 701 (2026) 779\u2013821<\/span>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2505.15163\">arXiv<\/a>\n <a class=\"item-link publisher\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0021869326002322\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">2025<\/span>\n <div class=\"item-content\">\n <strong>\u0130brahim Kaan Aslan & Olcay Co\u015fkun<\/strong>\n <em>\\(p\\)-Biset Functor of Monomial Burnside Rings I: Composition Factors<\/em>\n <div class=\"item-links\">\n <a class=\"item-link\" href=\"https:\/\/arxiv.org\/abs\/2505.15150\">arXiv:2505.15150<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <h3>Active Collaborations<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Ruslan M\u00fcsl\u00fcmov (ADA University)<\/strong>\n <em>Reduced pairs for section Burnside functors<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & <a href=\"https:\/\/www.fen.bilkent.edu.tr\/~yalcine\/\">Erg\u00fcn Yal\u00e7\u0131n<\/a> (Bilkent University)<\/strong>\n <em>Relative Dade groups<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong>Olcay Co\u015fkun & Deniz Y\u0131lmaz (Bilkent University)<\/strong>\n <em>\\(p\\)-bifree functor structure of block functors<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Algebra<\/span>\n <div class=\"item-content\">\n <strong><a href=\"https:\/\/math.ucsc.edu\/about\/bio.php?uid=boltje\">Robert Boltje<\/a> (UC Santa Cruz) & Olcay Co\u015fkun<\/strong>\n <em>The functor of \\(p\\)-permutation modules<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Graph Th.<\/span>\n <div class=\"item-content\">\n <strong>T\u00fcrker B\u0131y\u0131ko\u011flu & Mehmet Can Yavuz (I\u015f\u0131k University)<\/strong>\n <em>Evaluating latent space: coupling-matrix and its off-diagonals<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Number Th.<\/span>\n <div class=\"item-content\">\n <strong>Kaz\u0131m B\u00fcy\u00fckboduk (University College Dublin) & F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/strong>\n <em>Algebraic adjoint \\(p\\)-adic \\(L\\)-functions around \\(\\theta\\)-critical points of the eigencurve<\/em>\n <\/div>\n <\/li>\n <\/ul>\n\n <a href=\"https:\/\/mrc-baku.org\/index.php\/publications\/\" class=\"btn-archive\">\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 Full publications list\n <\/a>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">05<\/span> Educational & Academic Services<\/h2>\n\n <h3>Student Supervision<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">PhD<\/span>\n <div class=\"item-content\">\n <strong>Mustafa Akda\u011f \u2014 Bo\u011fazi\u00e7i University<\/strong>\n <em>Structure of the Monomial Burnside functor<\/em>\n <span class=\"item-venue\">Supervisor: Olcay Co\u015fkun<\/span>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">UG Project<\/span>\n <div class=\"item-content\">\n <strong>Nuray \u0130smayilli \u2014 ADA University<\/strong>\n <em>The Game of Cycles<\/em>\n <span class=\"item-venue\">Supervisor: T\u00fcrker B\u0131y\u0131ko\u011flu<\/span>\n <\/div>\n <\/li>\n <\/ul>\n\n <h3>Academic Service<\/h3>\n <ul class=\"explicit-list\">\n <li>\n <span class=\"date-label\">Peer Review<\/span>\n <div class=\"item-content\">\n <strong>Journal refereeing<\/strong>\n <em>MRC members refereed a total of 5 papers for leading international mathematics journals during this period.<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">AMS<\/span>\n <div class=\"item-content\">\n <strong>AMS Mathematical Reviews<\/strong>\n <em>Ertan Elma serves as an active reviewer for the American Mathematical Society’s Mathematical Reviews database.<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Outreach<\/span>\n <div class=\"item-content\">\n <strong>Path to Math \u2014 Baku student community<\/strong>\n <em>Ertan Elma maintains regular engagement with the mathematics student community in Baku, contributing to the Path to Math club for mathematics majors.<\/em>\n <\/div>\n <\/li>\n <li>\n <span class=\"date-label\">Internal<\/span>\n <div class=\"item-content\">\n <strong>Hiring & Seminar Committees<\/strong>\n <em>All MRC members participate in the hiring committee and the seminar organisation committee.<\/em>\n <\/div>\n <\/li>\n <\/ul>\n <\/section>\n\n\n <section>\n <h2><span class=\"h2-num\">06<\/span> Conference & International Visitors<\/h2>\n\n <h3>Conference Organised by MRC<\/h3>\n <div class=\"conf-box\">\n <div class=\"conf-box-date\">June 18\u201320, 2025 \u00b7 UFAZ Campus, ASOIU, Baku<\/div>\n <div class=\"conf-box-title\">\n <a href=\"https:\/\/mrc-baku.org\/index.php\/workshops-conferences\/\">Finite Groups and Their Representations (FGTR 2025)<\/a>\n <\/div>\n <p class=\"conf-box-meta\">The first international conference organised by MRC brought together researchers in representation theory of finite groups from Turkey, the United States, and Azerbaijan. The conference was fully funded and administered by MRC and received wide participation from the international community.<\/p>\n <p class=\"conf-box-speakers\"><strong>Invited Speakers:<\/strong>\n <a href=\"https:\/\/fen.bilkent.edu.tr\/~barker\/\">Laurence Barker<\/a> (Bilkent University),\n <a href=\"https:\/\/math.ucsc.edu\/about\/bio.php?uid=boltje\">Robert Boltje<\/a> (UC Santa Cruz),\n Yasir K\u0131zmaz (Bilkent University),\n Nariel Monteiro (UC Santa Cruz),\n <a href=\"https:\/\/mrc-baku.org\/index.php\/associated-members\/\">Ruslan M\u00fcsl\u00fcmov<\/a> (ADA University),\n \u0130pek Tuvay (Mimar Sinan Fine Arts University),\n Deniz Y\u0131lmaz (Bilkent University).\n <\/p>\n <\/div>\n\n <h3>Hosted Visitors<\/h3>\n <ul class=\"explicit-list\">\n\n <li>\n <span class=\"date-label\">Nov 29\u2013Dec 2<\/span>\n <div class=\"item-content\">\n <strong>Erkko Lehtonen \u2014 Khalifa University, UAE<\/strong>\n <em>Research focus: universal algebra and graph algebras. Delivered a general seminar on December 1.<\/em>\n <span class=\"item-venue\">Host: Olcay Co\u015fkun<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Nov 12\u201316<\/span>\n <div class=\"item-content\">\n <strong>Lola Thompson \u2014 Utrecht University, Netherlands<\/strong>\n <em>Research focus: analytic number theory and the Erd\u0151s\u2013Granville\u2013Pomerance\u2013Spiro conjecture. Delivered a general seminar on November 13.<\/em>\n <span class=\"item-venue\">Host: Ertan Elma<\/span>\n <\/div>\n <\/li>\n\n <li>\n <span class=\"date-label\">Jan 28\u201329<\/span>\n <div class=\"item-content\">\n <strong>K\u00fcbra Benli \u2014 Bo\u011fazi\u00e7i University, T\u00fcrkiye<\/strong>\n <em>Research focus: prime numbers in residue classes. Delivered a general seminar on January 29.<\/em>\n <span class=\"item-venue\">Host: Ertan Elma<\/span>\n <\/div>\n <\/li>\n\n <\/ul>\n\n <a href=\"https:\/\/mrc-baku.org\/index.php\/visitors\/\" class=\"btn-archive\">\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 Full visitor records\n <\/a>\n <\/section>\n\n\n\n <a href=\"https:\/\/mrc-baku.org\" class=\"btn-archive\">\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 Visit mrc-baku.org\n <\/a>\n\n\n <footer class=\"report-footer\">\n <span>Olcay Co\u015fkun \u00b7 Director, Mathematics Research Center<\/span>\n <span>February 2026 \u00b7 <a href=\"https:\/\/mrc-baku.org\">mrc-baku.org<\/a><\/span>\n <\/footer>\n\n<\/div>\n<\/body>\n<\/html>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>MRC Activity Report \u2014 Aug 2025 \u2013 Feb 2026 \u2399 Print \/ Save PDF Azerbaijan State Oil and Industry University Mathematics Research Center mrc-baku.org Baku, Azerbaijan Activity Report REF: MRC\/2026\/AR-00 \u00b7 PERIOD: AUGUST 1, 2025 \u2014 FEBRUARY 28, 2026 Foundational Period Report \u2014 Submitted to the Rector of ASOIU by Olcay Co\u015fkun, Director 01 Introduction […]<\/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-740","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/740","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=740"}],"version-history":[{"count":4,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/740\/revisions"}],"predecessor-version":[{"id":761,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/740\/revisions\/761"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}