Here is the list of my publications (so far).
- « Orthogonal polynomials and discrete Painlevé equations: theory and applications »,
To appear in Lecture notes of ASIDE15, AMS Special Edition. - « Jánossy densities and Darboux transformations for the Stark and cylindrical KdV
equations », with Tom CLAEYS, Gabriel GLESNER, Giulio RUZZA. Communications in Mathematical Physics, 405 (113), 2024. - « On the integrable structure of deformed sine kernel determinants », with Tom CLAEYS.
Mathematical Physics, Analysis and Geometry, 27:3, 2024. - « Recursion relation for Toeplitz determinants and the discrete Painlevé II hierarchy »,
with Thomas CHOUTEAU. SIGMA. 19 (2023) 030. Special Issue on Evolution Equations, Exactly Solvable Models and Random Matrices in honor of Alexander Its’ 70th birthday. - « The Riemann-Hilbert approach to the generating function for the higher order Airy
point processes », with Mattia CAFASSO. Recent Trends in Formal and Analytic Solutions of Diff. Equations, Contemporary Mathematics, vol. 782, Amer. Math. Soc., pp. 93-109, 2023. - « Stokes manifolds and cluster algebras », with Marco BERTOLA. Communications in Mathematical Physics 390, pp. 1413–1457, 2022.
- « Momenta spacing distributions in anharmonic oscillators and the higher order finite
temperature Airy kernel », with Thomas BOTHNER and Mattia CAFASSO. Annales de l’Institut Henri Poincaré B 58(3), pp. 1505-1546, 2022. - 2020 – 2021 « A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants ». SIGMA 17 (2021) 002.
My PhD thesis « The Painlevé II hierarchy : geometry and applications » can be found here.