with V. Bouchard, N. K. Chidambaram, S. Shadrin
(2025)
We introduce a new collection of CohFTs, the \({\Theta}^{r,s}\)-classes, and show that their descendant potential is an \(r\)-KdV tau function, is computed by topological recursion, and satisfies \({\mathcal{W}}\)-constraints.
with B. Eynard, E. Garcia-Failde, P. Gregori, D. Lewański
(2023)
We prove the large genus asymptotics for Witten–Kontsevich, Norbury’s, and \(r\)-spin intersection numbers.
with J. E. Andersen, G. Borot, S. Charbonnier, D. Lewański, C. Wheeler
(2020)
We study the geometry of the combinatorial moduli spaces, providing a completely geometric proof of Witten’s conjecture.
with G. Borot, B. Eynard
Lett. Math. Phys. 115.62 (2025)
We prove that topological recursion is Gevrey-2.
with B. Hashemi, R. G. Corominas
13th Int. Conf. Learn. Represent. (2025)
We use transformer to compute and understand recursive patterns in \(\psi\)-class intersection numbers, showing that the model learns key mathematical features from the data.
with G. Borot, G. Umer
Accepted in Commun. Math. Phys. (2025)
We introduce F-topological recursion and show that the descendant theory of F-CohFTs in the Givental orbit are compute by F-topological recursion.
with S. Barazer, M. Liu
Forum Math. Sigma 13 (2025)
We prove that the lenght spectrum of random metric maps converges to a Poisson point process in the large genus limit.
with R. Kramer, D. Lewański, A. Sauvaget
J. Eur. Math. Soc. (2025)
We prove the GW/H correspondence for the spin projective line, a first step toward the computation of GW invariants of surfaces of general type.
with N. K. Chidambaram, E. Garcia-Failde
Accepted in Invent. Math. (2025)
We construct a negative \(r\)-spin cohomological field theory, the \(r\)-spin \({\Theta}\)-class, prove topological recursion and \({\mathcal{W}}\)-constraints, and derive tautological relations via Teleman’s classification.
with S. Charbonnier, N. K. Chidambaram, E. Garcia-Failde
Trans. Amer. Math. Soc. 377.2 (2024)
We deduce Witten’s \(r\)-spin conjecture from the connection between Givental’s formalism and topological recursion.
with D. Lewański, P. Norbury
Algebraic Geom. 10.2 (2023)
We compute the Euler charcteristic of the moduli space of curves via Chern–Gauss–Bonnet and Hodge integrals.
with G. Borot, S. Charbonnier, V. Delecroix, C. Wheeler
Int. Math. Res. Not. 2023.17 (2023)
We study the \(L^p\)-integrability of the volume of the unit ball in the space of measured foliations.
with R. Kramer, D. Lewański
Accepted in in Selecta Math. (2025)
We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic. We conjecture a topological recursion governing these counts, and prove equivalence with an ELSV formula.
with G. Borot, D. Lewański
Appendix in Duke Math. J. 172.9 (2023)
We prove that the descendant integrals of the Segre class of the quadratic Hodge bundle are computed by topological recursion.
with J. E. Andersen, G. Borot, S. Charbonnier, V. Delecroix, D. Lewański, C. Wheeler
J. London Math. Soc. 107.1 (2023)
We study the Masur–Veech volumes of quadratic differentials, showing they correspond to constant terms of polynomials determined by topological recursion/Virasoro constraints.
with D. Lewański
In: Les Houches Summer School Lecture Notes - 2024-08: Quantum Geometry
SciPost Phys. Lect. Notes (2025)
Lecture notes on the moduli space of curves, cohomological field theories, and topological recursion.