My research interests are in Real Algebraic Geometry and Tropical Geometry. Currently I am working in Enumerative Geometry using tropical methods in A1-homotopy theory.

Since 2020, I am a 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 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: Arithmetic Counts of Tropical Plane Curves and Their Properties. arXiv:2309.12586

Joint with Sabrina Pauli: A Quadratically Enriched Correspondence Theorem. arXiv:2309.11706

Joint with Sabrina Pauli: Quadratically Enriched Tropical Intersections. arXiv:2208.00240

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