Education
Ph.D., Mathematics, University of California Santa Cruz, 2020 (advisor Robert Boltje)
M.Sc., Mathematics, Boğaziçi University, 2015 (advisor Olcay Coşkun)
B.Sc., Mathematics, Boğaziçi University, 2013
B.Sc., Electrical and Electronics Engineering, Boğaziçi University, 2013
Academic Positions
Assistant Professor, Bilkent University, 2022 –
Postdoctoral Researcher, University of Picardie Jules Verne, 2021 – 2022 (advisor Serge Bouc)
Postdoctoral Researcher, Friedrich-Schiller University of Jena, 2020 – 2021 (advisor Burkhard Külshammer)
Academic Visits
Oberwolfach Research Fellow, Oberwolfach Research Institute for Mathematics (MFO), January 2026
Central China Normal University, Wuhan, August 2025
Chateaubriand Fellow, University of Picardie Jules Verne, Amiens, February 2019 – June 2019
Research Interests
My research lies in modular representation theory of finite groups, with a particular focus on block theory and local–global conjectures. I am especially interested in functorial approaches to representation theory, including biset functors and diagonal p-permutation functors, and their applications to block theory.
Preprints
- X. Huang, D. Yılmaz: Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences, (submitted).
- R. Boltje, S. Bouc, D. Yılmaz: Functorial equivalence classes of 2-blocks of tame representation type, (submitted).
- R. Boltje, S. Bouc, D. Yılmaz: On Alperin's conjecture and functorial equivalence of blocks, (submitted).
- O. Coşkun, D. Yılmaz: p-Bifree biset functors, (submitted).
- S. Bouc, D. Yılmaz: Diagonal p-permutation functors in characteristic p, (submitted).
Published Papers
- D. Yılmaz: On p-permutation equivalences between direct products of blocks, Hacet. J. Math. Stat. 54 (2025) 869–873.
- D. Yılmaz: On functorial equivalence classes of blocks of finite groups, J. Pure Appl. Algebra, 228 (2024) 107744.
- D. Yılmaz: A note on blocks of finite groups with TI Sylow p-subgroups, Arch. Math., 122 (2024), 355–357.
- Ç. Karagüzel, D. Yılmaz: The group of splendid Morita equivalences of principal 2-blocks with dihedral and generalised quaternion defect groups, Int. Elect. J. Alg., 35 (2024), 160–167.
- S. Bouc, D. Yılmaz: Stable functorial equivalence of blocks, Pacific J. Math., 328 (2024), 217–226.
- S. Bouc, D. Yılmaz: Diagonal p-permutation functors, semisimplicity, and functorial equivalence of blocks, Adv. Math., 411 (2022) 108799.
- R. Boltje, D. Yılmaz: Galois descent of equivalences between blocks of p-nilpotent groups, Proc. Amer. Math. Soc., 150(2) (2022), 559–573.
- R. Boltje, D. Yılmaz: The A-fibered Burnside ring as A-fibered biset functor in characteristic zero, Algebr. Represent. Theory, 24(5) (2021), 1359–1385.
- S. Bouc, D. Yılmaz: Diagonal p-permutation functors, J. Algebra, 556 (2020), 1036–1056.
- R. Boltje, Ç. Karagüzel, D. Yılmaz: Fusion systems of blocks of finite groups over arbitrary fields, Pacific J. Math., 305(1) (2020), 29–41.
- O. Coşkun, D. Yılmaz: The fibered p-biset functor structure of the fibered Burnside rings, Algebr. Represent. Theory, 22 (2019), 21–41.
Awards and Honours
TÜBİTAK – 3501 Career Development Grant, 2024–2027
Young Scientist Award (BAGEP), Academy of Sciences, 2023
Elected Member of the Inaugural Cohort of the European Mathematical Society Young Academy
TÜBİTAK – 2219 Postdoctoral Fellowship, 2021
Chateaubriand Fellowship, 2019
Ranked 6th in the National University Entrance Exam, 2008
Graduate Students
Hüseyin Hiçüşenmez (M.Sc., Bilkent University, since 2025)
Muhammed Emin Ovat (M.Sc., Bilkent University, since 2025)
Cengizhan Şen (M.Sc., Bilkent University, since 2025)
Mert Akman (M.Sc., Bilkent University, since 2023)
Undergraduate Thesis Projects
Mehmet Fatih Kosdak, Morita equivalence and module categories (2026)
Fatma Karin Gümüş, Alperin's weight conjecture (2026)
Fatma Karin Gümüş, Defect groups and fusion systems of blocks (2025)
Muhammed Emin Ovat, Character ring as a biset functor (2025)
Kazım Tuğşad Koyuncu, Units of the Burnside ring (2025)
Teaching
Math 325: Representation Theory, Bilkent University, Spring 2026
Math 102: Calculus II, Bilkent University, Spring 2026
Math 490: Project in Mathematics, Bilkent University, Fall 2025
Math 101: Calculus I, Bilkent University, Fall 2025
Math 324: Algebra II, Bilkent University, Spring 2025
Math 523: Algebra I, Bilkent University, Fall 2024
Math 102: Calculus II, Bilkent University, Spring 2024
Math 323: Algebra I, Bilkent University, Fall 2023
Math 102: Calculus II, Bilkent University, Fall 2023
Math 102: Calculus II, Bilkent University, Spring 2023
Math 101: Calculus I, Bilkent University, Fall 2022
Character Theory of Finite Groups, Friedrich-Schiller University of Jena, Spring 2021
Math 101: Calculus I, Boğaziçi University, Summer 2019
Math 101: Calculus I, Boğaziçi University, Summer 2018
