Research Focus
Research Area: Algebraic Geometry, Commutative Algebra
I am interested in algebraic geometry and its interactions with commutative algebra and combinatorics, particularly in the context of moduli spaces.
Publications
- On the parity conjecture for Hilbert schemes of points on threefolds (with Alessio Sammartano), Annali della Scuola Normale Superiori di Pisa, Classe di Scienze (to appear)
- On Rees Algebras of 2-determinantal ideals (with Alessio Sammartano), Journal of the London Mathematical Society: Voume 109, Issue 1 (2024)
- The fiber-full scheme (with Yairon Cid-Ruiz) (arxiv.2108.13986)
- Rational singularities of nested Hilbert schemes (with Alessio Sammartano), International Mathematics Research Notices Issue 2: 1061-1122 (2024)
- The Hilbert scheme of a pair of linear spaces, Mathematische Zeitschrift 300: 493-540 (2022)