Boğaziçi Üniversitesi Matematik Bölümü 34342 Bebek İstanbul Turkey.

olcay.coskun at boun.edu.tr

The last update is March 22, 2018.

I am interested in axiomatic representation theory of finite groups. My research is concentrated on Mackey functors, biset functors and related objects.

I am also interested in the algebraic combinatorics related to the representation theory of the symmetric group.

13) (with Deniz Yılmaz)** Fibered $p$-biset functor structure of fibered Burnside rings**, Algebras and Representation Theory (to appear)

12) ** The Dade group of Mackey functors for p-groups**, Journal of Algebra, 470 (2017), 172-196.

11) ** Inducing native Mackey functors to biset functors,** Journal of Pure and Applied Algebra, 219 (2015), 2359-2380.

10) (with Müge Taşkın)** Sorting and generating reduced words**, Archiv der Mathematik, 101 (2013), 427-436.

9) (with Müge Taşkın)** Tower tableaux and Schubert polynomials**, Journal of Combinatorial Theory Series A, 120 (2013),1976-1995.

8) (with Müge Taşkın) *Tower Tableaux*, Journal of Combinatorial Theory Series A, 120 (2013), 843-871.

*7) **Gluing Borel-Smith functions and the group of endo-trivial modules**. Bulletin of the London Mathematical Society, **43** (2011), 912-926.*

*6) (with Semra Pamuk) **Projective resolutions of globally defined Mackey functors in characteristic zero.** Archiv der Mathematik, **96** (2011), 39-48.*

*5) **Ring of subquotients of a finite group II: Pure bisets.** Journal of Algebra, **324** (2010), 706-731.*

*4)** Ring of Subquotients of a finite group I: Linearization.** Journal of Algebra, **322** (2009), 2773 - 2792.*

*3) (with Ergün Yalçın)** A Tate cohomology sequence for generalized Burnside rings.** Journal of Pure and Applied Algebra, **213** (2009), 1306 - 1315.*

*2)** Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules** Journal of Algebra **320 **(2008), 2422 - 2450. **Corrections to this paper**.*

*1) **Mackey functors, induction from restriction functors and coinduction from transfer functors.** Journal of Algebra **315** (2007), 224 - 248.*

*1) (with Robert Boltje) Fibered biset functors.***arXiv:1612.01117**

*2) (with Müge Taşkın) Pieri's Rule via tower diagrams.*

*1) (with Mehmet Arslan) The functor of complex characters of finite groups.*

*1) My PhD Thesis, **A correspondence of simple alcahestic group functors,** 2008, Bilkent, Ankara.*

*2) A short introduction to biset functors.*

*3) **İkili küme izleçlerine giriş, "Turkish version of 2."*

*4) **Mackey izleçleri, kısıtlav izleçleri ve aktarım izleçleri, , "notes on Mackey functors in Turkish".*

*Zehra Bilgin (MS, 2012) (co-advisor with Arzu Boysal), Deniz Yılmaz (MS, 2015), Irmak Balçık (MS, 2016), Ruslan Muslumov (MS, 2017), *

*Resul Bedii Gümüş (MS) (co-advisor with Müge Taşkın), Turan Karakurt (MS), Ebru Beyza Küçük (MS), Gözde Sert (MS), Ayçin İplikçi (MS)*

*Mehmet Arslan, PhD (2018), Mehmet's Thesis, Mert Sevinis (PhD), Ruslan Muslumov (PhD).*

**TMD Summer School: Analysis and Algebra**

July, 3-7, 2017 Feza Gürsey Center for Physics and Mathematics.

**Functorial Representation Theory of Finite Groups**

August, 7-19, 2017 Nesin Mathematical Village.

*Professor, Boğaziçi Üniversitesi, 2017 - .*

*Associate Professor, Boğaziçi Üniversitesi, 2012-2017.*

*Assistant Professor, Boğaziçi Üniversitesi, 2009 - 2012.*

*Instructor, Bilkent Üniversitesi, one semester during 2007 - 2008.*

*BcS in Mathematics, Bilkent Üniversitesi, 2002.*

*MS in Mathematics, Advisor: Laurence J. Barker, Bilkent Üniversitesi, 2004.*

*PhD in Mathematics, Advisor: Laurence J. Barker, Bilkent Üniversitesi, 2008.*

*Research Associate, Advisor: Robert Boltje, MSRI, 01.2008 - 04.2008.*

*Junior Specialist, Advisor: Robert Boltje, UCSC, 09.2006 - 06.2007.*

**Fall 2017**

Math 111: Introduction to mathematical structures (2 sections).

Math 680: Topics in group theory

**2017**

**Summer: **Math 101: Calculus I, Math 58K: Category Theory.

**Spring: **Math 102: Calculus II, Math 323: Rings, Fields and Galois Theory

**2016**

**Fall: **Math 222: Group Theory, Math 58F: Modular Representations of Finite Groups.

**Summer: **Math 101: Calculus I, Math 48M: Topics in Group Theory.

**Spring: **Math 201: Matrix Theory (2 Sections), Math 58B: Schubert Calculus.

**2015**

**Fall**: Math 521: Algebra I, Math 48F: Representations of Finite Groups

**Summer**: Math 101: Calculus I (2 Sections), Math 478: Groups & Geometries

**Spring**: Math 111: Introduction to mathematical structures, Math 58F: Modular representations of finite groups

**2014**

**Fall:**Math 521: Algebra I, Math 201: Matrix Theory

**Summer:** Math 224 Linear Algebra, Math 101 Calculus I

**Spring:** Math 224 Linear Algebra, Math 48F Representations of finite groups

**2013**

**Fall:** Math 101: Calculus I, Math 521: Algebra I.

**Summer:** Math 101: Calculus I

**Spring:** Math 322: Algebra II, Math 48I: Combinatorial Representation Theory, Math 680: Modular representation theory.

**2012**

**Fall:** Math 321: Algebra I, Math 521: Algebra I, Math 58K: Finite group representations

**Summer:** Math 101 Calculus I

**Spring:** Math 111 Introduction to Mathematical structures, Math 412 Introduction to set theory.

**2011**

**Fall:** Math 101 Calculus I

**Spring:** Math 322 Algebra II, Math 522 Algebra II.

**2010**

**Fall:** Math 321 Algebra I, Math 521 Algebra I

**Spring:** Math 111 Introduction to mathematical structures, Math 102 Calculus II, Math 480 Seminar course

**2009**

**Fall:** Math 58K Finite group representations, Math 101 Calculus I

**Spring:** Math 102 Calculus II.