## Research interests

- Tropical geometry, more precisely...
- Tropical intersection theory
- Algorithmic aspects of tropical geometry
- Tropical enumerative geometry
- Matroids in tropical geometry

## Publications

*Algorithms for Tight Spans and Tropical Linear Spaces*(with Michael Joswig, Benjamin SchrÃ¶ter)

Preprint (2016)

[arXiv-Link]*Tropical computations in polymake*(with Michael Joswig)

Preprint (2016)

[arXiv-Link] [Examples]*The intersection ring of matroids*

Journal of Combinatorial Theory, Series B, **122C** (2017), pp. 578-614

*Tropical linear spaces and tropical convexity*

The Electronic Journal of Combinatorics, **22**, Issue 4 (2015)

*On rational equivalence in tropical geometry*(with Lars Allermann, Johannes Rau)

Canadian Journal of Mathematics, **68** (2016), no. 2, pp. 241-257

*Combinatorics of tropical Hurwitz cycles*

Journal of Algebraic Combinatorics, **42** (2015), issue 4, pp. 1027-1058

*Moduli spaces of rational weighted stable curves and tropical geometry*(with Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan)

Forum of Mathematics, Sigma **4** (2016) e9

*a-tint: A polymake extension for algorithmic tropical intersection theory*

European Journal of Combinatorics, **36C** (2014), pp. 579-607

*Universal families of rational tropical curves*(with Georges Francois)

Canadian Journal of Mathematics, **65** (2013), no. 1, pp. 120-148

### Interdisciplinary

*The polymake XML file format*(with Ewgenij Gawrilow, Michael Joswig)

Mathematical Software - ICMS 2016: 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings. Lecture Notes in Computer Science **9725** (Springer), pp. 403-410