I'm interested in discrete structures that appear in mathematics, statistics, and computer science. Particularly, I like problems where all these areas intersect.

- Machine learning and neural networks
- Anomaly detection and time series analysis
- Topological data analysis
- Optimization and random sampling
- Distributed and large-scale computing
- Random walks on combinatorial objects

**The fiber dimension of a graph**

Discrete Mathematics, arXiv:1601.04527**Heat-bath random walks with Markov bases**

with C. Stanley, Advances in Applied Mathematics, arXiv:1605.08386**Fiber graphs**

PhD thesis, OvGU Magdeburg, 01/2017**Rapid mixing and Markov bases**

SIAM Journal on Discrete Mathematics, arXiv:1505.03018**Parity binomial edge ideals**

with T. Kahle and C. Sarmiento, Journal of Algebraic Combinatorics, arXiv:1503.00584**On the Connectivity of Fiber Graphs**

with R. Hemmecke, Journal of Algebraic Statistics, arXiv:1405.0812