Research in a nutshell
Numerous objects in algebraic and enumerative geometry encode discrete structures either in the form of graphs, polytopes, or other polyhedral properties.
I adapt methods from tropical geometry, convex geometry and graph theory to tackle problems related to the topology of (real, or complex) algebraic varieties, polynomial maps, and ramified covers.
Problems that I am interested in are those of relevance to both pure mathematics, and its applications to sciences, engineering and intelligent systems.
- Fewnomial theory
- Topology of polynomial maps
- Tropical geometry
- Real algebraic geometry
- Real Hurwitz numbers
During my first postdoc (May. 2016 - Nov. 2017), I was working with Johannes Rau at the Geometry research group in Tübingen University, as part of DFG Research Grant RA 2638/2-1.
Here is my CV