M. Yasir Kızmaz
Assistant Professor of Mathematics
Department of Mathematics, Bilkent University, Ankara
About
I am an Assistant Professor in the Department of Mathematics at Bilkent University. My research is in finite group theory, in particular fusion systems and the local structure of finite groups, coprime actions, and, more recently, skew braces.
I received my Ph.D. in Mathematics from Middle East Technical University (METU) in 2018 under the supervision of Prof. Dr. Gülin Ercan. Before joining the faculty at Bilkent in 2024, I held postdoctoral positions at Bilkent University, METU and Martin Luther University Halle-Wittenberg, and served as a Visiting Assistant Professor at Bilkent University.
Computational tools: GAP (Groups, Algorithms, Programming), Python.
Publications 18 journal articles · 2 preprints
Preprints
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P2
The Baer transform for skew bracesPreprint (2026). arXiv:2607.03081
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P1
Sylow theory and the nilpotency class of left nilpotent skew bracesPreprint (2026). arXiv:2606.25691
Journal articles
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18
A geodesic insight into some fundamental fusion theoremsArch. Math. (Basel) 124 (2025), no. 4, 377–388. doi:10.1007/s00013-025-02101-5
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17
A generalization of Alperin Fusion theorem and its applicationsJ. Algebra 647 (2024), 172–205. doi:10.1016/j.jalgebra.2024.02.016
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16
Fusion in supersolvable Hall subgroupsTurkish J. Math. 48 (2024), no. 2, 118–122. doi:10.55730/1300-0098.3497
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15
Some new characteristic p-functors and Thompson’s critical subgroupComm. Algebra 52 (2024), no. 2, 473–478. doi:10.1080/00927872.2023.2243511
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14
Some special coprime actions and their consequencesJ. Pure Appl. Algebra 228 (2024), no. 12, Paper No. 107764. doi:10.1016/j.jpaa.2024.107764
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13
On the rank and exponent of the fixed points of coprime actionsActa Math. Hungar. 166 (2022), no. 1, 107–114. doi:10.1007/s10474-021-01198-8
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12
A Fitting height lemma and its applicationsArch. Math. (Basel) 117 (2021), no. 1, 29–39. doi:10.1007/s00013-021-01591-3
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11
On the influence of the fixed points of an automorphism to the structure of a groupJ. Algebra 572 (2021), 326–336. doi:10.1016/j.jalgebra.2020.12.025
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10
An extension of the Glauberman ZJ-theoremInternat. J. Algebra Comput. 31 (2021), no. 1, 117–133. doi:10.1142/S0218196721500065
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9
A generalization of Hall–Wielandt theoremJ. Algebra 543 (2020), 156–169. doi:10.1016/j.jalgebra.2019.10.018
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8
Finite groups of rank two which do not involve Qd(p)Proc. Amer. Math. Soc. 148 (2020), no. 9, 3713–3721. doi:10.1090/proc/15066
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7
A short note on Isaacs–Navarro’s TheoremArch. Math. (Basel) 113 (2019), no. 3, 225–227. doi:10.1007/s00013-019-01334-5
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6
Cyclic intersections and control of fusionArch. Math. (Basel) 113 (2019), no. 6, 561–563. doi:10.1007/s00013-019-01359-w
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5
A sufficient condition for fixed points of a coprime action to have a normal complementArch. Math. (Basel) 112 (2019), no. 1, 1–3. doi:10.1007/s00013-018-1209-6
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4
Some sufficient conditions for p-nilpotency of a finite groupComm. Algebra 47 (2019), no. 9, 3579–3582. doi:10.1080/00927872.2019.1567752
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3
On the number of topologies on a finite setAlgebra Discrete Math. 27 (2019), no. 1, 50–57. Journal page
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2
Character free proofs for two solvability theorems due to IsaacsComm. Algebra 46 (2018), no. 6, 2631–2634. doi:10.1080/00927872.2017.1392543
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1
Finite groups having nonnormal T.I. subgroupsInternat. J. Algebra Comput. 28 (2018), no. 5, 905–914. doi:10.1142/S021819671850039X
Experience & Education
Positions
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2024 – present
Assistant Professor, Bilkent University
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2022 – 2023
Postdoctoral Researcher, Martin Luther University Halle-Wittenbergwith Prof. Dr. Rebecca Waldecker
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2021 – 2022
Postdoctoral Researcher, Middle East Technical Universitywith Prof. Dr. Yıldıray Ozan
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2019 – 2021
Visiting Assistant Professor, Bilkent University
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2018 – 2019
Postdoctoral Researcher, Bilkent Universitywith Prof. Dr. Ergün Yalçın
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2012 – 2018
Research Assistant, Middle East Technical University
Education
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2018
Ph.D. in Mathematics, Middle East Technical UniversityDissertation: The influence of some embedding properties of subgroups on the structure of a finite group
Advisor: Prof. Dr. Gülin Ercan -
2012
B.S. in Mathematics, Middle East Technical UniversityHigh honors in mathematics scholarship
Teaching
Courses I have taught since 2012 include:
- Single and Multivariable Calculus
- Linear Algebra
- Abstract Algebra
- Finite Group Theory
- Transfer and Fusion in Group Theory
Ph.D. Supervision
I currently serve as co-advisor for the following Ph.D. students in the Department of Mathematics at Middle East Technical University (METU):
- Tunahan Yılmaz
- Muhammed Aydoğdu
Conferences & Talks
- 2026II. Anadolu Cebir Çalıştayı, İzmir Speaker
- 2025Finite Groups and Their Representations, Baku Speaker
- 2024IMBM Mathematics Days VIII Speaker
- 2023Groups and Topological Groups Conference, Halle Organiser
- 2022Nikolaus Conference Speaker
- 202133. Ulusal Matematik Sempozyumu Speaker
- 2019Antalya Cebir Günleri XXI Speaker
- 2017Finite Groups and Their Automorphisms Speaker
- 2015Zassenhaus Group Theory Conference Speaker
- 2014Advances in Group Theory and Applications
Service
Referee for
- Journal of Algebra
- Acta Mathematica Hungarica
- Algebra Colloquium
- Bulletin of the Iranian Mathematical Society
- Contributions to Algebra and Geometry
- Hacettepe Journal of Mathematics and Statistics
- International Journal of Group Theory
- Publicationes Mathematicae Debrecen
Contact
Bilkent University
06800 Bilkent, Ankara, Türkiye