Hi, I'm Alessandro

I am interested in interactions between geometry and theoretical physics, in particular 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

• Length spectrum of large genus random metric maps, with S. Barazer and M. Liu

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

• The spin Gromov–Witten/Hurwitz correspondence for ℙ¹, with R. Kramer, D. Lewanski and A. Sauvaget

• 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

• 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

• 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:

• Quantum Geometry, @Les Houches, FR (Summer 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)