My research lies in combinatorial algebraic geometry. I focus on studying algebro-geometric structures by combinatorial means. Most of the time this involves methods from the field of tropical geometry. We used to say that it is a new field of mathematics, after more than 20 years, I believe we can consider it a grown-up now and thus I force myself to drop that ascription.
In recent years, my research has been dedicated to three major themes:
Simultaneous realisability of tropical curves in tropical planes
Combinatorial algebraic geometry of Bruhat-Tits buildings
Tropical enumerative geometry