Mathematics

Research interests

I am interested finding enumerative invariants using Moduli spaces and algebraic geometry. In particular, I am now interested in moduli spaces of abelian varieties and their chow rings, as well as the universal Picard stack over the moduli space of curves. I am also interested in applications of tropical geomery to enumerative geometry.

Papers and preprints

• Joint with Alessio Cela. Genus 0 logarithmic and tropical fixed domain counts for Hirzebruch surfaces. (journal) arxiv/2309.14947

• Joint with Alessio Cela. The integral Chow ring of $\mathcal{R}_2$, to appear in Annali della Scuola Normale Superiore di Pisa 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, to appear in Algebraic Geometry arxiv/2410.00245

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

Talks

• Twisted products in the moduli space of abelian varieties at the Algebraic Geometry and Moduli Seminar in ETH Zurich. March 2024.
• Geometry of Noether-Lefschetz loci in the moduli of abelian varieties I at the conference Curves, abelian varieties, and their moduli in Berlin. May 2024.
• Noether-Lefschetz cycles on the moduli space of abelian varieties at the Seminari di Algebra e Geometria in La Sapienza, Rome. April 2025.
• Noether-Lefschetz cycles on the moduli space of abelian varieties at the Algebraic Geometry Seminar in the University of Cambridge. May 2025.
• Counting maps to an elliptic curve in several ways at the conference Recent Trends in Algebraic Geometry in Oberwolfach. June 2025.

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