Mathematician and developer. Ph.D. student in the Discrete Mathematics/Geometry group at TU Berlin.
I work on computational methods in combinatorics and algebra, mostly at the intersection of quantum information theory and matroid theory.
| Project | Description |
|---|---|
| OSCAR | Computer algebra system in Julia. I develop its non-commutative algebra parts. |
| libisotopy | C++ library computing the real scheme of a T-curve in near-quadratic time. |
| Orcus.jl | Quantitative backtesting engine for trading strategies. |
| Patchworking GUI | Browser app for constructing combinatorial patchworks. C++ compiled to WebAssembly. |
| GroebnerQuantumSym.jl | Finite Gröbner bases for quantum symmetric groups. |
| QuantumAutomorphismGroups.jl | Computing quantum automorphism groups of matroids. |
| shannon-contest | Tournament runner for Shannon switching game strategies. |
- Quantum automorphisms of matroids. D. Corey, M. Joswig, J. Schanz, M. Wack, M. Weber. J. Algebra 667, 2025.
- Finite Gröbner bases for quantum symmetric groups. L. Schmitz, M. Wack. J. Symbolic Comput. 136, 2026.
- Matroid isomorphism games. D. Corey, S. Schmidt, M. Wack. Preprint, 2025.
- 121 patchworked curves of degree seven. Z. Geiselmann, M. Joswig, L. Kastner, K. Mundinger, S. Pokutta, C. Spiegel, M. Wack, M. Zimmer. Preprint, 2026.
- Fast isotopy computation for T-curves. Z. Geiselmann, M. Joswig, L. Kastner, K. Mundinger, S. Pokutta, C. Spiegel, M. Wack, M. Zimmer. ICMS 2026 Proceedings, 2026.
Abstracts and teaching on my website.