Mathematics

Research interests

I work in algebraic geometry. My recent interests are related to moduli spaces of abelian varieties and their compactifications. I am also interested Gromov-Witten theory and in applications of tropical geomery to enumerative geometry.

Papers and preprints

• Genus 0 logarithmic and tropical fixed domain counts for Hirzebruch surfaces. Joint with Alessio Cela. Journal of the London Mathematical Society (journal) arxiv/2309.14947

• The integral Chow ring of $\mathcal{R}_2$. Joint with Alessio Cela. Annali della Scuola Normale Superiore di Pisa (journal) arxiv/2406.07309

• Noether-Lefschetz cycles on the moduli space of abelian varieties. To appear in Forum of Mathematics, Pi arxiv/2411.09910

• The Euler characteristic of $\mathcal{A}_g$ via Hodge integrals. Algebraic Geometry (journal) arxiv/2410.00245

• Gromov-Witten theory of $\mathrm{Hilb}^n(\mathbb{C}^2)$ and Noether-Lefschetz theory of $\mathcal{A}_g$. Joint with Rahul Pandharipande and Hsian-Hua Tseng. arxiv/2506.12438

• Torelli loci, product cycles, and the homomorphism conjecture for $\mathcal{A}_g$. Joint with Canning, Drakengren, Feusi, Holmes, Nesterov, Oprea, Pandharipande, Schmitt and Sun. arxiv/2601.04353

Some notes

• My Bachelor's Thesis "Holomorphic curves" , supervised by Luis Giraldo.

• My Master's dissertation "Graded rings and projective varieties" , supervised by Balazs Szendroi.

• Notes on a Theorem of Pólya and Carlson about power series with integer coefficients.

Posters

• "Tautological projections on the moduli space of abelian varieties", a poster for the LMS Invited Lecture Series in 2024 about some intersection numbers on the moduli space of abelian varieties

• "Noether-Lefschetz cycles on Ag", a poster for the Summer Research Institute in Fort Collins, 2025 about Noether-Lefschetz cycles