Assistant Professor
Department of Mathematics
Bilkent University
d.yilmaz@bilkent.edu.tr
Ankara, Turkey
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)
- Chateaubriand Fellow, University of Picardie Jules Verne, 02.2019 – 06.2019
Research Interests
- Finite groups
- Representation theory
- Block theory
- Biset functors
Papers
- D. Yılmaz: On p-permutation equivalences between direct products of blocks, submitted.
- D. Yılmaz: On functorial equivalence classes of blocks of finite groups, submitted.
- D. Yılmaz: A note on blocks of finite groups with TI Sylow p-subgroups, submitted.
- 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, submitted.
- 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
- Young Scientist Award (BAGEP), Academy of Sciences, 2023
- Elected Member of the Inaugural Cohort of the European Mathematical Society Young Academy
- Tübitak – 2219 Postdoctoral Fellowship, 2021
- Chateaubriand Fellowship, 2019
- Ranked 6th in the National University Entrance Exam, 2008
Teaching
- 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