I am interested in studying moduli spaces of absolute and logarithmic stable maps and the invariants arising from them using ideas and techniques coming from tropical geometry . In a series of projects with  various collaborators  (Luca Battistella , Thomas Blomme , Navid Nabijou , Dhruv Ranganathan ,Jonathan Wise ) I am studying: modular resolutions of moduli of maps in higher genus and their reduced invariants; the realizability problem in genus two and application to higher genus logarithmic maps to toric varieties; a logarithmic and tropical approach to  extend the theory of linear series to all log smooth curves (this is deeply connected to the theory of matroids,tropical linear space and Bruhat-Tits buildings); torsion refinement for log GW of ruled varieties.

On a different direction, together with Dimitri Wyss and the EPFL research group, we are exploring p-adic definitions of BPS invariants for Kodaira dimension zero local surfaces,  as well  as investigating the  possibility of  extending the definition to a more general setting.