The focus of my research is Mirror Symmetry. More precisely, my work investigates mirror symmetry for certain Fano varieties beyond the context of the known mirror constructions, and its connections with the theory of hypergeometric motives.
Preprints
On the mirrors of low-degree del Pezzo surfaces, with F. Rota (arxiv)
Hypergeometric local systems over ℚ with Hodge vector (1,1,1,1), with F. Rodriguez Villegas (arxiv).
Publications
A Prym Hypergeometric, with A. Corti and F. Rodriguez Villegas, Perspectives on Four Decades of Algebraic Geometry (1), Progr. Math., 351, Birkhauser/Springer, Cham (2025) [journal]
Full exceptional collections for anticanonical log del Pezzo surfaces, with F. Rota. Int. Math. Res. Not. IMRN (2023) [journal]
Reflexive polygons and rational elliptic surfaces, with A. Grassi, W. Lutz and A. Petracci., Rend. Circ. Mat. Palermo (2) (2023) [journal]
Hyperelliptic Integrals and Mirrors of the Johnson-Kollár del Pezzo Surfaces, with A. Corti. Trans. Amer. Math. Soc. 374 (2021) [journal]
PhD Thesis
Hypergeometric functions and new mirrors of Fano varieties (January 2021). [author link]
Other writings
my talk at MITP Youngst@rs - Physics and Number Theory (January 2025)
my talk for the reading group HMS for Fanos (December 2024)
a poster on my research on mirrors to Fano weighted complete intersections (Innsbruck, October 2024)
(with Andrea Petracci) Minicourse on Mirror Symmetry for Fano varieties. In: Thibaut Delcroix, Liana Heuberger, Susanna Zimmermann, K-Stability, Birational Geometry and Mirror Symmetry. Oberwolfach Rep. 21 (2024), no. 1, pp. 827-870. doi.org/10.4171/owr/2024/14
a slide presentation on my PhD research for a non-specialistic audience (November 2019)
a poster about my work on the Johnson-Kollár del Pezzo Surfaces (GAeL XXIV, June 2018)
an introductory survey on mirror symmetry for Fano weighted complete intersections, written in my first year in LSGNT (June 2017)