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INTERESTS PAPERS

Research

Topics and Publications.

Fields of Interests


My fields of interest are:

  • Tropical geometry,
  • Enumerative geometry,
  • Complex algebraic geometry,
  • Real algebraic geometry,
  • Symplectic geometry
  • The interplay of tropical geometry with every other geometry listed above.

Publications


Here is a list of the papers I have written, along with their ArXiv link. My Orcid number is 0000-0001-5881-4750.

Published Papers


A Caporaso-Harris type Formula for relative refined invariants.
2019, to appear in Annales de l'Institut Fourier.
An imaginary refined count for some real rational curves.
2020, published in Beitrage zur Algebraische Geometrie.
A Tropical Computation of Refined Toric Invariants II..
2020, to appear in Geometrie & Topology.
Refined count for rational tropical curves in arbitrary dimension.
2020, published in Mathematishe Annalen.
Refined count for real oriented rational curves.
2021, to appear in Journal of Algebraic Geometry.
Floor diagrams and enumerative invariants of line bundles over an elliptic curve.
2021, published in Compositio Mathematica.
Tropical curves in abelian surfaces II: enumeration of curves in linear systems.
2022, published in Transactions of the AMS.
Tropical curves in abelian surfaces III: pearl diagrams and multiple cover formulas.
2022, accepted in Algebraic Geometry.
Descendant invariants with line constraints.
with Hannah Markwig,
2022, published in Journal of the London Mathematical Society.

Preprints


Tropical curves in abelian surfaces I: enumeration of curves passing through points.
2022.
Tropical Möbius strips and ruled surfaces.
with Victoria Schleis,
2023. .
Gromov-Witten invariants of bielliptic surfaces.
2024.
Bitangents to real curves: signed count and construction.
with Erwan Brugallé and Cristhian Garay,
2024.
Asymptotic refined invariants for toric surfaces.
with Gurvan Mével,
March 2024.

Book(s)


Les clefs pour l'oral MP, mathématiques, ENS-X - Sessions 2016 et 2017.
with Louise Gassot, Quentin Guignard & Bernard Randé.
Buy

PhD manuscript


Here you can find the manuscript of my PhD Computation of Refined Enumerative Invariants in Real and Tropical Geometry.