Hi, I'm Alessandro

I am interested in interactions between geometry and theoretical physics, particularly the enumerative geometry of the moduli spaces of curves and Gromov–Witten theory, geometric and topological recursion, integrable systems, large genus asymptotics, and matrix models. An extensive description of my research can be found here. 

Preprints

• Resurgent large genus asymptotics of intersection numbers, with B. Eynard, E. Garcia-Failde, P. Gregori, and D. Lewanski

• Relations on the moduli space of stable curves and the negative r-spin Witten conjecture, with N. K. Chidambaram, E. Garcia-Failde

• A new spin on Hurwitz theory and ELSV via theta characteristic, with R. Kramer and D. Lewanski

• On the Kontsevich geometry of the combinatorial Teichmüller space, with J. E. Andersen, G. Borot, S. Charbonnier, D. Lewanski and C. Wheeler

Publications

• The factorial growth of topological recursion, with G. Borot and B. Eynard. Accepted in Lett. Math. Phys. (2025)

• Symmetries of F-cohomological field theories and F-topological recursion, with G. Borot and G. Umer. Accepted in Commun. Math. Phys. (2025)

• Length spectrum of large genus random metric maps, with S. Barazer and M. Liu. Forum Math. Sigma 13 (2025)

• The spin Gromov–Witten/Hurwitz correspondence for ℙ¹, with R. Kramer, D. Lewanski and A. Sauvaget. J. Eur. Math. Soc. (2025)

• Can transformer do enumerative geometry?, with B. Hashemi, R. G. Corominas. 13th Int. Conf. Learn. Represent. (2025)

• Shifted Witten classes and topological recursion, with S. Charbonnier, N. K. Chidambaram, E. Garcia-Failde. Trans. Amer. Math. Soc. 377.2 (2024)

• An intersection-theoretic proof of the Harer–Zagier formula, with D. Lewanski, P. Norbury. Algebraic Geom. 10.2 (2023)

• Around the combinatorial unit ball of measured foliations on bordered surfaces, with G. Borot, S. Charbonnier, V. Delecroix, C. Wheeler. Int. Math. Res. Not. 2023.17 (2023)

• Appendix for Masur–Veech volumes and intersection theory, the principal strata of quadratic differentials, with G. Borot and D. Lewanski. Duke Math. J. 172.9 (2023) 

• Topological recursion for Masur–Veech volumes, with J. E. Andersen, G. Borot, S. Charbonnier, V. Delecroix, D. Lewanski, C. Wheeler. J. London Math. Soc. 107.1 (2023)

Misc

• Les Houches lecture notes on moduli spaces of Riemann surfaces, with D. Lewanski. Under review in SciPost Phys. Lect. Notes

• PhD thesis: Geometric and topological recursion and invariants of the moduli space of curves, supervised by G. Borot

• Mathematica codes to compute:

  • topological recursion correlators

  • quantum Airy structure correlators

  • WK and BGW partition functions via cut-and-join equations

Workshops and schools:

• Refinements in Enumerative Geometry and Physics @ICTS, IN (Summer 2026)

• Quantum Geometry @Les Houches, FR (29 Jul–23 Aug 2024)

• TRIeste: Topological Recursion and Integrability @Trieste, IT (11–16 Sep, 2023)

• Moduli Spaces: Theory and Coding @Les Diablerets, CH (27 Feb–3 Mar, 2023)

• TR Salento 2022 @Otranto, IT (5–16 Sep, 2022)

• Recent Advances on Moduli Spaces of Curves @Leysin, CH (18–24 Mar, 2022)

Reading seminars:

• Stability conditions and DT invariants, online reading seminar (Spring 2020)

• Integer points in polyhedra, short reading seminar (Fall 2019)

• Geometric recursion, reading seminar (Fall 2018)