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 $\mathcal{R}_2$. arxiv/2406.07309

Talks

• Twisted products in the moduli space of abelian varieties at the Algebraic Geometry and Moduli Seminar in Zurich, March 2024

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.

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

Conferences and summer schools attended

• 09/2023 Hilbert schemes of points (Humboldt Universitat zu Berlin)
• 07/2023 AGNES Summer school on Intersection Theory on Moduli Spaces (Brown)
• 06/2023 Helvetic Algebraic Geometry Seminar (Les Diablerets)
• 02/2023 Northern German AG Seminar (Humbolt Universitat zu Berlin)
• 02/2023 Worshop on Logarithmic Geometry and moduli spaces (Goethe Universitat - Frankfurt)
• 07/2022 JAE School of Mathematics (Madrid).
• 07/2019 JAE School of Mathematics (Madrid).