We describe the irreducible components of moduli spaces of stable maps to toric varieties in genus 0 combinatorially in terms of dual graphs decorated with curve classes in https://arxiv.org/abs/2506.16221. In particular, we describe the smoothable locus in a concrete example where the target is the blow-up of P^2 in a point. This is joint work with Etienne Mann.

In arXiv:2412.16295, I construct a comparison morphism between the moduli spaces of stable maps and stable quasimaps to any smooth projective toric variety, which is surjective for Fano targets. The construction is motivated by the notion of "degree of a basepoint", which I introduce.

I have started a postdoc with Prof. Nero Budur at KU Leuven.

We have uploaded a second version (arXiv:2310.06727) of the preprint where we define all-genera reduced Gromov–Witten invariants for complete intersections in projective space. It is joint work with Etienne Mann, Cristina Manolache and Renata Picciotto. The new version contains generalizations and is more accessible with respect to the previous one.

In  arXiv:2404.01381 we have proven new simple normal crossings cases of the local/logarithmic correspondence for Gromov–Witten invariants using a degeneration formula for quasimaps, which we have developed. This is joint work with Cristina Manolache and Qaasim Shafi.

Perspectives of Hurwitz theory: moduli spaces, topological recursion and tropical geometry, Hamilton Mathematics Institute, Trinity College Dublin, 25-27 June.

Enumerative geometry: the interplay between geometry and numbers, UCD Algebra and Number Theory Seminar, 10 July.