Olcay Coşkun's Home Page

Olcay Coskun's Home Page

Boğaziçi Üniversitesi Matematik Bölümü 34342 Bebek İstanbul Turkey.

olcay.coskun at boun.edu.tr

The last update is June 2017.

Research Interests

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.

Publications

12) The Dade group of Mackey functors for p-groups, Journal of Algebra, 470 (2017), 172-196. arXiv:1609.04787

11) Inducing native Mackey functors to biset functors, Journal of Pure and Applied Algebra, 219 (2015), 2359-2380. arXiv:1408.2627

10) (with Müge Taşkın) Sorting and generating reduced words, Archiv der Mathematik, 101 (2013), 427-436. arXiv:1301.5723

9) (with Müge Taşkın) Tower tableaux and Schubert polynomials, Journal of Combinatorial Theory Series A, 120 (2013),1976-1995. arXiv:1303.7389 

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.

Preprints

1) (with Robert Boltje) Fibered biset functors.

2) (with Deniz Yılmaz) On Fibered Burnside functors.

Other Writings

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".

Graduate Students

Zehra Bilgin (MS, 2012), Deniz Yılmaz (MS, 2015), Irmak Balçık (MS, 2016), Ruslan Muslumov (MS, 2017), 

Resul Bedii Gümüş (MS), Turan Karakurt (MS), Ebru Beyza Küçük (MS), Gözde Sert (MS),

Mehmet Arslan (PhD), Mert Sevinis (PhD).

Upcoming Events

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.

Short CV

Employment History

Professor, Boğaziçi Üniversitesi, 2017 - .

Associate Professor, Boğaziçi Üniversitesi, 2012-2017.

Assistant Professor, Boğaziçi Üniversitesi, 2009 - 2012.

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


Education History

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.

Current Courses

Fall 2017


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


Old Courses

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.