Research

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

Hypergeometric local systems over ℚ with Hodge vector (1,1,1,1), with F. Rodriguez Villegas (arxiv).

A Prym Hypergeometric, with A. Corti and F. Rodriguez Villegas (arxiv). To appear in the Collino memorial volume "Perspectives on four decades: Algebraic Geometry 1980-2020".

Publications

Full exceptional collections for anticanonical log del Pezzo surfaces, with F. Rota. IMRN, Volume 2023, Issue 21 (2023) [journal]

Reflexive polygons and rational elliptic surfaces, with A. Grassi, W. Lutz and A. Petracci. Rend. Circ. Mat. Palermo, II. Ser (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 (August 2020).  [author link]

Expository

This is a collection of expository works I had the occasion to draft during my PhD: 

a slide presentation on my research, for a non-specialistic audience (November 2019);

a poster about my work on the Johnson-Kollár del Pezzo Surfaces, presented at GAeL  XXIV in Strasbourg (June 2018);

an introductory survey on mirror symmetry for Fano  weighted complete intersections, written in my first year in the LSGNT (June 2017).