My research interests are in A1-Enumerative Geometry, Real Algebraic Geometry and Tropical Geometry. Currently I am working in Enumerative Geometry using tropical methods in A1-homotopy theory, namely on the computation of motivic Gromov-Witten invariants, on cohomological invariants and A1-enumerative problems.

Currently, I am a DFG postdoctoral fellow at the Universität Tübingen, working with Hannah Markwig. Previously, I was an assegnista di ricerca at the Università degli studi di Napoli Federico II, working with Roberto Pirisi.

From 2020 until 2023, I was an ERC postdoctoral fellow at the Universität Duisburg-Essen working under the supervision of Marc Levine.

During the academic years 2018/20 I was a postdoctoral fellow at the Laboratoire de Mathématiques Jean Leray in the Univeristé de Nantes working on polynomials properties of Refined Tropical Invariants under the supervision of Erwan Brugallé.

I was a postdoctoral fellow at the School of Mathematical Sciences at the Tel-Aviv University working in Real Singularity Theory under the supervision of Eugenii Shustin. I classified morsifications of trigonal quasihomogeneous singularities, giving a complete classification of morsifications of a singularity family that is not mild.

I defended my PhD thesis at the Institut de Mathématiques de Jussieu - Paris Rive Gauche of the Sorbonne Université, under the supervision of Ilia Itenberg. I worked on an instance of a modern version of the 16th Hilbert problem. Namely, I found a complete classification of the main strata of the moduli space of real rational plane quintics.

 

 

Articles

Joint with Sabrina Pauli: A Quadratically Enriched Correspondence Theorem. arXiv:2309.11706. To appear in the Journal of the European Mathematical Society.

Joint with Sabrina Pauli: Quadratically Enriched Tropical Intersections. arXiv:2208.00240. To appear in Journal für die reine und angewandte Mathematik

Joint with Hannah Markwig, Sabrina Pauli, and Felix Röhrle. Arithmetic counts of tropical plane curves and their properties. Advances in Geometry, 24(4):553–576, 2024.

Joint with Erwan Brugallé: Polynomiality properties of tropical refined invariants.Combinatorial Theory 2(2)(2022).

Rigid isotopy classification of generic rational curves of degree 5 in the real projective plane. Geometriae Dedicata 211, 1–70 (2021).

Generic pointed quartic curves in ℝℙ2 and uninodal dessins. Mathematische Zeitschrift. 299, 2483–2517 (2021).

Uniformización de curvas algebraicas reales. Lecturas Matemáticas Vol 33 [2] (2012). 107-131.

 

Preprints

Joint with Hannah Markwig, Sabrina Pauli, and Felix Röhrle. Quadratically Enriched Plane Curve Counting via Tropical Geometry.

A Wall Crossing Formula for Motivic Enumerative Invariants arXiv:2403.17681

Trigonal Morsifications on Hirzebruch Surfaces with an appendix by E. Shustin. arXiv:1810.02206.