Ozgun Unlu's homepage

Özgün Ünlü

Associate Professor
Department of Mathematics
Bilkent University
Ankara, Turkey 06800

Phone: 90 (312) 290-1359
E-mail: unluo at fen dot bilkent dot edu dot tr

Education:

B.Sc. in Mathematics with a minor in Computer Engineering at Middle East Technical University.

Ph.D. in Mathematics at University of Wisconsin-Madison (advisor Prof. Alejandro Ádem).

Employment:

Britton Postdoctoral Fellow at Department of Mathematics and Statistics at McMaster University (2004 - 2007).

Assistant Professor at Department of Mathematics at Bilkent University (2007 - 2025).

Associate Professor at Department of Mathematics at Bilkent University (2025 - current).

Courses (Fall 2025)
Math 240 (Differential Equations)
Math 323 (Algebra I)
Research interests: My main research interests are in the areas of algebraic topology and category theory. In particular, I am interested in constructing group actions on manifolds. Publications:

"The Euler characteristic of finite categories," joint with M. Akkaya, (to appear in Homology, Homotopy and Applications).

"Minimal models of some differential graded modules," joint with B. Şentürk, Applied Categorical Structures, 31, January 2023, 1-18.

"Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices," joint with B. Şentürk, Pure and Applied Algebra, 223, no. 6, June 2019, 2562-2584.

"Semigroup actions on sets and the Burnside ring," joint with M. A. Erdal, Applied Categorical Structures, 26, no. 1, December 2016, 7-28.

"Constructing homologically trivial actions on products of spheres," joint with M. E. Yalçın, Indiana University Mathematics Journal 62, no. 3, 2013, 927-945.

"Fusion systems and group actions with abelian isotropy subgroups," joint with E. Yalçın, Proceedings of the Edinburgh Mathematical Society 56 (2013), 873-886.

"Fusion systems and constructing free actions on products of spheres," joint with E. Yalçın, Mathematische Zeitschrift 270 (2012), 939-959.

"Hilbert ideals of vector invariants of S_2 and S_3," joint with M. Sezer, Journal of Lie Theory 22 (2012), no.4, 1181-1196.

"Quasilinear actions on products of spheres," joint with E. Yalçın, Bulletin of the London Mathematical Society 42 (2010), 981-990.

"Free actions of finite groups on $S^n x S^n$ ," joint with I. Hambleton, Transactions of the American Mathematical Society 362 (2010), no. 6, 3289--3317.

"Grobnerian Dickson polynomials," joint with M. Sezer, Proceedings of the American Mathematical Society 137 (2009), no. 4, 1169--1173.

"Examples of free actions on products of spheres ," joint with I. Hambleton, The Quarterly Journal of Mathematics 60 (2009), no. 4, 461--474.

"On ranks for finite supersolvable groups and actions on products of spheres," Journal of Group Theory 8 (2005), no. 1, 109--113.

"Fixity and free group actions on products of spheres," joint with A. Adem and J. Davis, Commentarii Mathematici Helvetici 79 (2004), no. 4, 758--778.