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Mathematics Research Center
Olcay Coşkun — Mathematics Research Center
Olcay Coşkun
Researcher · Director of MRC
Olcay Coşkun
Algebra Research Group
olcay.coshkun@asoiu.edu.az olcaycoskun@gmail.com Scopus ORCID
Research Interests

My research interests include representation theory of finite groups, Mackey functors, (fibered) biset functors, category algebras, Green biset functors, block theory, fusion systems, and homological algebra. Previously I was a faculty member at Boğaziçi University, Department of Mathematics.

Representation theory of finite groups Mackey functors Fibered biset functors Category algebras Green biset functors Block theory Fusion systems Homological algebra
Academic IDs
Scopus: 17345043600 ORCID: 0000-0001-7649-560X
Administrative Positions
  • CurrentDirector, MRC – ASOIU
  • 2024 – 2025Director, MRC-TIIMM, Baku State University
  • 2022 – 2024Chair, Department of Mathematics, Boğaziçi University
  • 2021 – 2024Vice-president, TMD – Turkish Mathematical Society
  • 2021 – 2024Editor-in-chief, Matematik Dünyası – Popular math magazine of TMD
  • 2019 – 2022Codirector, IMBM – Istanbul Center for Mathematical Sciences
  • 2015 – 2018Vice chair, Feza Gürsey Center for Mathematics and Physics
Awards & Fellowships
  • 202347th Sedat Simavi Science Tribute Award, TGC – Turkish Journalists Association
  • 2019TÜBİTAK 2219 – Research Fellowship for Abroad Study (March – August 2019)
  • 2018 – 2019Fulbright Foundation – Academic Research Fellowship (August 2018 – March 2019)
  • 2017BAGEP – Young Scientist Award, Bilim Akademisi (Science Academy of Turkey)
  • 2014Masatoshi Gündüz İkeda Research Award, Türk Matematik Vakfı
  • 2005Alişbah Fellowship, Bilkent University, Department of Mathematics
Research Projects with Funding
  • 2020 – 2023 TÜBİTAK Research Grant (1001-119F422) — Principal Researcher
    Supported: Ruslan Muslumov (Ph.D.), Doğa Ulaş Budak (M.S.), Mustafa Akdağ (M.S.), İbrahim Aslan (M.S.), Mehmet Arslan (Post-doc), Cihan Bahran (Post-doc)
  • 2018 – 2019 TÜBİTAK Research Grant (1002-117F291) — Principal Researcher
  • 2015 – 2017 Boğaziçi University Research Grant (11144) — Principal Researcher
  • 2015 – 2018 TÜBİTAK Research Grant (1001-115F156) — Researcher
  • 2014 – 2017 TÜBİTAK Research Grant (1001-113F240) — Principal Researcher
    Supported: Mehmet Arslan (Ph.D.), Deniz Yılmaz (M.S.), Irmak Balçık (M.S.), Ruslan Muslumov (M.S.)
  • 2013 – 2015 Boğaziçi University Research Grant (7623) — Principal Researcher
  • 2011 – 2013 Boğaziçi University Research Grant (6029) — Researcher
  • 2010 – 2013 TÜBİTAK Career Research Grant (1001-109T661) — Principal Researcher
    Supported: Zehra Bilgin (M.S.)
Area
Representation Theory
  • ●
    \(p\)-Biset Functor of Monomial Burnside Rings I: Composition Factors
    with İbrahim Kaan Aslan
    preprint
    arXiv
  • ●
    \(p\)-bifree Biset Functors
    with Deniz Yılmaz
    preprint
    arXiv
  • ●
    A Categorical Decomposition of \(\mathbb C^\times\)-fibered \(p\)-biset Functors
    with Ruslan Muslumov
    Journal of Algebra (to appear)
    arXiv Publisher
  • ●
    Simple functors over the Green biset functor of section Burnside rings
    with Ruslan Muslumov
    Communications in Algebra 52(2) (2024), 668–694
    Publisher
  • ●
    The fibered Burnside ring of a fusion system
    with Mert Seviniş
    International Journal of Algebra and Computation 31(03) (2021), 453–470
    Publisher
  • ●
    The functor of complex characters of finite groups
    with Mehmet Arslan
    Journal of Algebra 562 (2020), 115–147
    Publisher
  • ●
    Obstructions for gluing biset functors
    with Ergün Yalçın
    Journal of Algebra 532 (2019), 268–310
    Publisher
  • ●
    Fibered \(p\)-biset functor structure of fibered Burnside rings
    with Deniz Yılmaz
    Algebras and Representation Theory 22 (2019), 21–41
    Publisher
  • ●
    Fibered biset functors
    with Robert Boltje
    Advances in Mathematics 339 (2018), 540–598
    Publisher
  • ●
    The Dade group of Mackey functors for \(p\)-groups
    with
    Journal of Algebra 470 (2017), 172–196
    Publisher
  • ●
    Inducing native Mackey functors to biset functors
    with
    Journal of Pure and Applied Algebra 219 (2015), 2359–2380
    Publisher
  • ●
    Gluing Borel-Smith functions and the group of endo-trivial modules
    with
    Bulletin of the London Mathematical Society 43 (2011), 912–926
    Publisher
  • ●
    Projective resolutions of globally defined Mackey functors in characteristic zero
    with Semra Pamuk
    Archiv der Mathematik 96 (2011), 39–48
    Publisher
  • ●
    Ring of subquotients of a finite group II: Pure bisets
    with
    Journal of Algebra 324 (2010), 706–731
    Publisher
  • ●
    Ring of Subquotients of a finite group I: Linearization
    with
    Journal of Algebra 322 (2009), 2773–2792
    Publisher
  • ●
    A Tate cohomology sequence for generalized Burnside rings
    with Ergün Yalçın
    Journal of Pure and Applied Algebra 213 (2009), 1306–1315
    Publisher
  • ●
    Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules
    with
    Journal of Algebra 320 (2008), 2422–2450
    Publisher
  • ●
    Mackey functors, induction from restriction functors and coinduction from transfer functors
    with
    Journal of Algebra 315 (2007), 224–248
    Publisher
Nonassociative Algebras
  • ●
    An Exceptional 7-dimensional Real Algebra: Octonions, \(G_2\), and the Fano Plane
    with A. Eden
    preprint
    arXiv
  • ●
    Revisiting a 19th Century Vector Algebra Book
    with A. Eden and E. Karabudak
    Journal of Humanistic Mathematics 15(2) (2025), 146–185
    PDF
Combinatorial Representation Theory
  • ●
    Tower diagrams and Pieri’s Rule
    with Müge Taşkın
    Discrete Mathematics 341 (2018), 3089–3105
    Publisher
  • ●
    Sorting and generating reduced words
    with Müge Taşkın
    Archiv der Mathematik 101 (2013), 427–436
    Publisher
  • ●
    Tower tableaux and Schubert polynomials
    with Müge Taşkın
    Journal of Combinatorial Theory Series A 120 (2013), 1976–1995
    Publisher
  • ●
    Tower Tableaux
    with Müge Taşkın
    Journal of Combinatorial Theory Series A 120 (2013), 843–871
    Publisher
PhD & Master Students

Current

  • Mustafa Akdağ PhD candidate

Graduated — PhD

  • Ruslan Muslumov PhD (2022)
  • Mert Sevinis PhD (2019)
  • Mehmet Arslan PhD (2018)

Graduated — MS

  • İbrahim Kaan Arslan MS (2024)
  • Mustafa Akdağ MS (2023)
  • Said Yılmaz MS (2022)
  • Doğa Ulaş Budak MS (2021)
  • Ebru Beyza Küçük MS (2019)
  • Ayçin İplikçi MS (2019)
  • Turan Karakurt MS (2018)
  • Gözde Sert MS (2018)
  • Mustafa Türköz MS (2017, co-advisor T. Turgut)
  • Ruslan Muslumov MS (2017)
  • Irmak Balçık MS (2016)
  • Deniz Yılmaz MS (2015)
  • Zehra Bilgin MS (2012, co-advisor A. Boysal)

Post-doc Advising

  • Cihan Bahran 2022 – 2023
  • Mehmet Arslan 2020 – 2021