Research

Interests

I primarily study mathematical aspects of Yang-Mills theory. I am also interested in many related fields: integrable probability, random geometry, random matrices, enumerative combinatorics, moduli spaces.

Papers

  1. Thibaut Lemoine. Elliptic \(b\)-Hurwitz theory and Jack heat trace.
    Preprint, 2026.
  2. Thibaut Lemoine, Elias Nohra. Universality of two-dimensional Markovian holonomy fields.
    Preprint, 2026.
  3. Thibaut Lemoine. The heat-kernel master field on \(\mathbb{Z}^d\) at strong coupling.
    Preprint, 2026.
  4. Thibaut Lemoine. Universal dualities for Wilson loops in lattice Yang-Mills.
    Preprint, 2026.
  5. Thibaut Lemoine., Mylène Maïda. The central heat trace on large compact classical groups.
    Preprint, 2025.
  6. Thibaut Lemoine. Two-dimensional Yang-Mills theory via integrable probability.
    To appear in Bulletin of the American Mathematical Society (2026). Preprint, 2025.
  7. Thibaut Lemoine, Rémi Bardenet. Monte Carlo methods on compact complex manifolds using Bergman kernels.
    Preprint, 2024.
  8. Thibaut Lemoine, Mylène Maïda. Gaussian measure on the dual of \(\mathrm{U}(N)\), random partitions, and topological expansion of the partition function.
    Published in Annals of Probability 53 (5) 1738 - 1763 (2025). Preprint, 2024.
  9. Thibaut Lemoine. Almost flat highest weights and application to Wilson loops on compact surfaces.
    Published in Probability Theory and Related Fields (2025). Preprint, 2023.
  10. Thibaut Lemoine. Determinantal point processes on complex manifolds: construction and limit theorems.
    Preprint, 2022.
  11. Antoine Dahlqvist, Thibaut Lemoine. Large \(N\) limit of the Yang-Mills measure on compact surfaces II: Makeenko-Migdal equations and the planar master field.
    Published in Forum of Mathematics, Sigma, Volume 13, e17 (2025). Preprint, 2022.
  12. Antoine Dahlqvist, Thibaut Lemoine. Large \(N\) limit of Yang-Mills partition function and Wilson loops on compact surfaces.
    Published in Probability and Mathematical Physics, No. 4, 849–890 (2023). Preprint, 2022.
  13. Thibaut Lemoine. Large \(N\) behaviour of the two-dimensional Yang–Mills partition function.
    Published in Combinatorics, Probability and Computing, Volume 31, Issue 1, pp. 144 - 165 (2022). Preprint, 2019.

PhD Thesis

Théorie asymptotique des représentations et applications à la théorie de Yang-Mills, Sorbonne Université (2020).