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.
Rational singularities of nested Hilbert schemes (with Alessio Sammartano) (arxiv.2109.09002)
The fiber-full scheme (with Yairon Cid-Ruiz) (arxiv.2108.13986)
On the tangent space to the Hilbert scheme of points in P^3 (with Alessio Sammartano), Transactions of the American Mathematical Society 375: 6179-6203 (2022).
The Hilbert scheme of a pair of linear spaces, Mathematische Zeitschrift 300: 493-540 (2022)
On the smoothness of lexicographic points on Hilbert schemes (with Alessio Sammartano), Journal of Pure and Applied Algebra 226: Article 106872 (2022)