My research interests include representation theory of finite groups, Mackey functors, (fibered) biset functors, category algebras, Green biset functors, block theory, fusion systems, homological algebra. Previously I was a faculty member at Boğaziçi University, Department of Mathematics.
Administrative Positions
DRL-TIIMM, Baku State University - Director (2024 - today)
Department of Mathematics, Boğaziçi University - Chair (July 15, 2022 - July 15, 2024)
TMD - Turkish Mathematical Society - Vice-president (2021 - 2024)
Matematik Dünyası - Popular math magazine of TMD - Editor-in-chief (2021 - 2024)
IMBM - Istanbul Center for Mathematical Sciences - Codirector (2019 - 2022)
Feza Gürsey Center for Mathematics and Physics - Vice chair (2015 - 2018)
Awards
TGC (Turkish Journalists Association) - 47th Sedat Simavi Science Tribute Award - 2023.
TÜBİTAK 2219 - Research Fellowship for Abroad Study, March 2019 -- August 2019
Fulbright Foundation - Academic Research Fellowship, August 2018 -- March 2019
Bilim Akademisi (Science Academy of Turkey) - Young Scientist Award Program (BAGEP), 2017
Türk Matematik Vakfı (Turkish Mathematical Foundation) - Masatoshi Gündüz İkeda Research Award, 2014
Bilkent University Department of Mathematics - Alişbah Fellowship, 2005
Research Projects with funds
TÜBİTAK Research Grant - (1001-119F422) - (2020 - 2023) - Principal Researcher - Ruslan Muslumov (Ph.D.), Doğa Ulaş Budak (M.S.), Mustafa Akdağ (M.S.), İbrahim Aslan (M.S.), Mehmet Arslan (Post-doc) and Cihan Bahran (Post-doc) were/are fully supported.
TÜBİTAK Research Grant - (1002-117F291) - (2018 - 2019) -Principal Researcher
Boğaziçi University Research Grant - 11144 - (2015 - 2017), Principal Researcher
TÜBİTAK Research Grant - (1001-115F156)} - (2015 - 2018), Researcher
TÜBİTAK Research Grant -(1001-113F240) - (2014 - 2017) - Principal Researcher - Mehmet Arslan (Ph.D.), Deniz Yılmaz (M.S.), Irmak Balçık (M.S.), Ruslan Muslumov(M.S.) were fully supported.
Boğaziçi University Research Grant - 7623 - (2013 - 2015) - Principal Researcher
TÜBİTAK Career Research Grant - (1001-109T661) - (2010 - 2013) - Principal Researcher - Zehra Bilgin (M.S.) was fully supported.
Boğaziçi University Research Grant - 6029 - (2011 - 2013) - Researcher
Publications
Representation Theory:
Simple functors over the Green biset functor of section Burnside rings, (with Ruslan Muslumov)
Communications in Algebra 52 2 (2024), 1-27.
The fibered Burnside group of a fusion system, (with Mert Seviniş)
International Journal of Algebra and Computation 31 (2021), 453-470.
The functor of complex characters of finite groups, (with Mehmet Arslan)
Journal of Algebra 562 (2020), 115-147.
Obstructions for gluing biset functors, (with Ergün Yalçın),
Journal of Algebra 532 (2019), 268-310.
Fibered $p$-biset functor structure of fibered Burnside rings, (with Deniz Yılmaz),
Algebras and Representation Theory 22 (2019), 21-41.
Fibered biset functors, (with Robert Boltje),
Advances in Mathematics 339 (2018), 540-598.
The Dade group of Mackey functors for p-groups,
Journal of Algebra 470 (2017), 172-196.
Inducing native Mackey functors to biset functors,
Journal of Pure and Applied Algebra 219 (2015), 2359-2380.
Gluing Borel-Smith functions and the group of endo-trivial modules,
Bulletin of the London Mathematical Society 43 (2011), 912-926.
Projective resolutions of globally defined Mackey functors in characteristic zero,(with Semra Pamuk),
Archiv der Mathematik 96 (2011), 39-48.
Ring of subquotients of a finite group II: Pure bisets,
Journal of Algebra 324 (2010), 706-731.
Ring of Subquotients of a finite group I: Linearization,
Journal of Algebra 322 (2009), 2773 - 2792.
A Tate cohomology sequence for generalized Burnside rings, (with Ergün Yalçın),
Journal of Pure and Applied Algebra 213 (2009), 1306 - 1315.
Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules,
Journal of Algebra 320 (2008), 2422 - 2450. Corrections to this paper.
Mackey functors, induction from restriction functors and coinduction from transfer functors,
Journal of Algebra 315 (2007), 224 - 248.
Algebraic Combinatorics:
Tower diagrams and Pieri's Rule, (with Müge Taşkın),
Discrete Mathematics 341 (2018), 3089-3105.
Sorting and generating reduced words, (with Müge Taşkın),
Archiv der Mathematik 101 (2013), 427-436.
Tower tableaux and Schubert polynomials, (with Müge Taşkın),
Journal of Combinatorial Theory Series A 120 (2013), 1976-1995.
Tower Tableaux, (with Müge Taşkın),
Journal of Combinatorial Theory Series A 120 (2013), 843-871.
Students
Current
Mustafa Akdağ, PhD candidate
Graduated
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İbrahim Kaan Arslan, MS (2024)
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Mustafa Akdağ, MS (2023)
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Ruslan Muslumov, PhD (2022)
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Said Yılmaz, MS (2022)
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Doğa Ulaş Budak, MS (2021)
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Mert Sevinis, PhD (2019)
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Ebru Beyza Küçük, MS (2019)
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Ayçin İplikçi, MS (2019)
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Mehmet Arslan, PhD (2018)
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Turan Karakurt, MS (2018)
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Gözde Sert, MS (2018)
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Mustafa Türköz (co-advisor with T. Turgut), MS (2017)
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Ruslan Muslumov, MS (2017)
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Irmak Balçık, MS (2016)
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Deniz Yılmaz, MS (2015)
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Zehra Bilgin (co-advisor with A. Boysal), MS (2012)
Post-doc advising
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Cihan Bahran (2022-2023)
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Mehmet Arslan (2020-2021)
Popular Articles (in Turkish)
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Kategoriler teorisi, Matematik Dünyası, (2024), 50 pages.
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XOXO, Matematik Dünyası, 10 pages.
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Sonlu Group Temsilleri, Matematik Dünyası, 117 (2023), 17-66.
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8. Mertebeden Gruplar, Matematik Dünyası, 116 (2023), 89 - 89.
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Permütasyonları Sıralamak!, Matematik Dünyası, 114 (2022) 83 - 86.
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Başarının iki yüzü, IMBM anısına, Matematik Dünyası, 113 (2022) 14 - 15.
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Galois grupları, Matematik Dünyası, 112 (2022) 17 - 24.
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Rubik küp grubu, Matematik Dünyası, 112 (2022) 50 - 59.
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Asal Portreler, Matematik Dünyası, 111 (2021) 10 - 13.
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Unutulmuş bir problem: Feit-Thompson sanısı, Matematik Dünyası, 111 (2021) 76 - 78