Dr. Sofia Brenner
Diskrete Mathematik
- Telefon
- +49 561 804-4192
- sbrenner[at]mathematik.uni-kassel[dot]de
- Website
- sofiabrenner.github.io
- Standort
- Heinrich-Plett-Straße 40
34132 Kassel
- Raum
- Heinr.-Plett-Str., Raum 3320
About me
My current research lies at the intersection of group theory and (algebraic) combinatorics. I study symmetries of combinatorial objects using algebraic methods, and combinatorial questions on graphs with an algebraic description, such as Cayley graphs. I am also fascinated by applications of algebra in algorithmic questions.
From 2022 to 2024, I was a postdoctoral researcher in the group of Pascal Schweitzer at TU Darmstadt. From 2019 to 2022, I was a PhD student of Burkhard Külshammer at Friedrich Schiller University Jena. My thesis was in representation theory of finite groups and symmetric algebras.
I am currently on leave from the University of Kassel: From October 2025 to March 2026, I am at Charles University in Prague, Czech Republic, to work on my project "Extending Automorphisms of Structures: Interactions of group theory and model theory", funded by German Academic Exchange Service (DAAD). Please check my regularly updated personal webpage here.
Publications
S. Brenner, L. Kleist, T. Mütze, C. Rieck, and F. Verciani. Counterexample to Winkler's Conjecture on Venn diagrams. | ||
S. Brenner, J. Fink, H. P. Huang, A. Merino, and V. Pilaud. Minimum maximal matchings in permutahedra. | ||
N. Behrooznia, S. Brenner, A. Merino, T. Mütze, C. Rieck, and F. Verciani. Facet-Hamiltonian cycles in the B-permutahedron. | ||
O. Aichholzer, S. Brenner, J. Dorfer, H. Hoang, D. Perz, C. Rieck, and F. Verciani. Flipping odd matchings in geometric and combinatorial settings. To appear in Proceedings of the 33rd International Symposium on Graph Drawing and Network Visualization (GD 2025) | ||
S. Brenner, C. del Valle, and C. M. Roney-Dougal. Irredundant bases for soluble groups. Bulletin of the London Mathematical Society, 2025. | ||
J. Baligács, S. Brenner, A. Lutz, and L. Volk. Symmetry classes of Hamiltonian cycles. Proceedings of the 50th International Symposium on Mathematical Foundations of Computer Science (MFCS), Warsaw, Poland, 2025. | ||
M. Anders, S. Brenner, and G. Rattan. satsuma: structure-based symmetry breaking in SAT. To appear in Journal of Artificial Intelligence Research.
Conference version in Proceedings of the International Conference on Theory and Applications of Satisfiability Testing (SAT), Pune, India, 2024. | ||
D. Bradley-Williams and S. Brenner. EPPA witnesses with two blocks of imprimitivity on edges. To appear in Proceedings of the 13th European Conference on Combinatorics, Graph Theory and Applications EUROCOMB'25. | ||
S. Brenner, R. D. Camina, and M. L. Lewis. Semi-extraspecial p-groups with automorphisms of large order. Comptes-rendus mathématique, 393: 933-940, 2025. | ||
S. Brenner and I. Heinrich. Countable ultrahomogeneous 2-colored graphs on two imprimitive color classes. European Journal of Combinatorics 125, 2025. An extended abstract appeared in the Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications EUROCOMB’23. | ||
S. Brenner. Classifying group algebras in which the socle of the center is an ideal. Communications in Algebra, 2025. | ||
S. Brenner. Tuple regularity and k-ultrahomogeneity for finite groups. Journal of Group Theory, 27(6):1305-1336, 2024. | ||
S. Brenner and B. Külshammer. Group algebras in which the socle of the center is an ideal. Annals of Representation Theory, 1:1–19, 2024. | ||
S. Brenner and D. García-Lucas. On the modular isomorphism problem for groups with center of index at most p^3. Archiv der Mathematik, 122(5):463–474, 2024. | ||
M. Anders, S. Brenner, and G. Rattan. The complexity of symmetry breaking beyond lex- leader. Proceedings of the 30th Conference on Principles and Practices of Constraint Programming (CP), Girona, Spain, 2024. | ||
S. Brenner and B. Külshammer. Ideals in the center of symmetric algebras. International Electronic Journal of Algebra, 34:126–151, 2023. | ||
S. Brenner. On the Malle-Navarro Conjecture for 2- and 3-blocks of general linear and unitary groups. Communications in Algebra, 49:427–441, 2021. | ||
M. Anders, S. Brenner, and G. Rattan. satsuma Software package. |