About Me

I am a Ph.D. student at the Technical University of Berlin, working as a researcher and teaching assistant in the Discrete Mathematics/Geometry group under the supervision of Michael Joswig. I enjoy working on problems involving hard computational challenges and the generation of large sets of experimental data. My main contributions so far lie at the intersection of quantum information theory and combinatorics. These contributions have been made in the development of the notions of quantum isomorphism and quantum symmetries for matroids. Throughout this time, I have been working as a developer of non-commutative algebra within the computer algebra system OSCAR.

Contact

Email: wack[at]math.tu-berlin.de
Office: EN 58
Technische Universität Berlin
Straße des 17. Juni 136
10623 Berlin
Germany

Research

Publications

D. Corey, M. Joswig, J. Schanz, M. Wack, M. Weber, Quantum automorphisms of matroids, Journal of Algebra vol. 667, 2025. Link
L. Schmitz, M. Wack, Finite Gröbner bases for quantum symmetric groups, (preprint), 2025. Link
D. Corey, S. Schmidt, M. Wack, Quantum isomorphism games, (preprint), 2025. Link

Coding

Since 2022 I am part of the development team of Polymake, a software for research in polyhedral geometry, combinatorics, and related areas. As a member of the team, I am involved in the ongoing process of refactoring the code base from C++11 to C++17.
Some of my standalone project are listed below.

Projects

QuantumAutomorphismGroups.jl Description: A database auf quantum automorphism groups of matroids. Language: Julia
GroebnerQuantumSym.jl Description: Tools for the computation of Gröbner bases for quantum symmetric groups. Language: Julia

Teaching

As part of my teaching duties, I have been involved in the following courses at TU Berlin:

Computerorientierte Mathematik I WS 2022/23 Keywords: data structures, algorithms, Python
Computerorientierte Mathematik II SS 2023 Keywords: data structures, algorithms, Julia
Mathematische Physik I WS 2023/24 Keywords: dynamical systems, differential equations
Computerorientierte Mathematik II SS 2024 Keywords: data structures, algorithms, Julia
Computerorientierte Mathematik I WS 2024/25 Keywords: data structures, algorithm, Python
Computerorientierte Mathematik II SS 2025 Keywords: data structures, algorithms, Julia