Research

Publications

  1. 1

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

    Accepted at Transactions of the AMS, 2025

    arxiv
  2. 2

    Intersection of orbits of loxodromic automorphisms of affine surfaces, 2024

    Accepted at Algebra and Number Theory, 2025

    arxiv
  3. 3

    Action of nilpotent groups on complex algebraic varieties, 2022

    IMRN 2022

    link
  4. 4

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

    SCN 2020

    eprint

Preprints

  1. 1

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

    arxiv
  2. 2

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

    arxiv
  3. 3

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

    Submitted

    arxiv
  4. 4

    Unlikely intersections problem for automorphisms of Markov surfaces, 2024

    Submitted

    arxiv
  5. 5

    On the dynamics of endomorphisms of affine surfaces, 2023

    Submitted

    arxiv
  6. 6

    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