Research

Interests

Two-dimensional gauge theory, random surfaces, integrable probability, determinantal point processes, random matrices, enumerative combinatorics

Papers

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