Research

Publications

  1. A local version of the arithmetic Hodge index theorem over quasiprojective varieties, 2025

    Accepted at Transactions of the AMS, 2025

    arxiv

  2. Intersection of orbits of loxodromic automorphisms of affine surfaces, 2024

    Accepted at Algebra and Number Theory, 2025

    arxiv

  3. Action of nilpotent groups on complex algebraic varieties, 2022

    IMRN 2022

    link

  4. Cryptographic Divergences: New techniques and new applications, with Thomas Prest, 2020

    SCN 2020

    eprint

Preprints

  1. Dynamical degrees of twisted rational maps, avec Junyi Xie, 2026

    arxiv

  2. Uniform bound on common periodic points for families of regular plane polynomial automorphisms, with Yugang Zhang, 2026

    arxiv

  3. A dynamical characterisation of smooth cubic affine surfaces of Markov type, 2025

    arxiv

  4. Rigidity of periodic points for loxodromic automorphisms of affine surfaces, 2024

    Submitted

    arxiv

  5. Unlikely intersections problem for automorphisms of Markov surfaces, 2024

    Submitted

    arxiv

  6. On the dynamics of endomorphisms of affine surfaces, 2023

    Submitted

    arxiv

  7. On the dynamics of endomorphisms of affine surfaces

    PhD thesis

    pdf

Talks

  • Nov. 2025Number theory seminar, Bâle
  • Nov. 2025Journées de dynamique, Paris
  • Oct. 2025Number theory seminar, LMNO, Caen
  • Sep. 2025Rencontre ANR DynAtrois, mini-course on Moriwaki heights — Dijon — notes
  • Jul. 2025SRI in Algebraic Geometry — Fort Collins, Colorado
  • Jun. 2025Summer school on the Cremona group — Grenoble
  • Jan. 2025États de la recherche, arithmetic, algebraic and analytic dynamics — CIRM, Marseille
  • Jun. 2024Basel-Dijon-Neuchâtel-EPFL joint seminar — Dijon
  • Apr. 2024Monthly complex dynamics seminar — Institut Henri Poincaré
  • Nov. 2023Algebra seminar — University of Jena
  • Jul. 2023Current themes in complex dynamics — Toulouse
  • Jun. 2023Algebraic geometry seminar — University of Angers
  • Mar. 2023Algebraic geometry seminar — University of Cambridge
  • Jan. 202312th Swiss-French workshop in algebraic geometry — Charmey, Switzerland
  • Jan. 2023Special year topic, informal seminar — IAS Princeton
  • Jan. 2023Seminar — University of Michigan, Ann Arbor
  • Jan. 2023Seminar — IUPUI, Indianapolis
  • Jan. 2023Joint Mathematics Meetings, arithmetic dynamics session — Boston
  • Sep. 2022Algebra and geometry seminar — Bâle, Switzerland

Les Gustins Summer School

Every year I organise with physicist colleagues a conference in "Les Gustins", near Lake Aiguebelette, France. Open to all scientists, the talks are accessible from the undergraduate level.

→ Visit the website and register