Alessandro Giacchetto
ETH Fellow, Hermann-Weyl-Instructor · ETHZ, HG J 16.2
Zürich, Switzerland · alessandro.giacchetto@math.ethz.ch · agiacche.github.io
Employment
-
Oct 2023–present
ETH Fellow & Hermann-Weyl-Instructor, ETH Zürich
Mentor: Rahul Pandharipande -
Oct 2021–Oct 2023
Postdoctoral Fellow, IPhT
Mentor: Bertrand Eynard
Education
-
2021
PhD in Mathematics, MPIM
Geometric and topological recursion and invariants of the moduli space of curves
Supervisor: Gaëtan Borot -
2017
MSc in Mathematics, University of Trieste & SISSA
The J-equation on Kähler manifolds and blowups
Supervisor: Jacopo Stoppa -
2015
BSc in Mathematics, University of Trieste
Skein relations and polynomial invariants of knots and links
Supervisor: Bruno Zimmermann
Publications and preprints
- Theta classes: generalized topological recursion, integrability and \({\mathcal{W}}\)-constraints arXiv
- Les Houches lecture notes on moduli spaces of Riemann surfaces arXiv Open access
- The factorial growth of topological recursions arXiv DOI
- Can transformers do enumerative geometry? arXiv Open access Code
- Symmetries of F-cohomological field theories and F-topological recursion arXiv DOI
- Length spectrum of large genus random metric maps arXiv DOI
- Resurgent large genus asymptotics of intersection numbers arXiv
- The spin Gromov–Witten/Hurwitz correspondence for \({\mathbb{P}}^1\) arXiv DOI
- Relations on \({\overline{\mathcal{M}}}_{g,n}\) and the negative \(r\)-spin Witten conjecture arXiv DOI
- Shifted Witten classes and topological recursion arXiv DOI
- An intersection-theoretic proof of the Harer–Zagier formula arXiv DOI
- Around the combinatorial unit ball of measured foliations on bordered surfaces arXiv DOI
- A new spin on Hurwitz theory and ELSV via theta characteristics arXiv
- On the Kontsevich geometry of the combinatorial Teichmüller space arXiv
- Masur–Veech volumes and intersection theory, the principal strata of quadratic differentials arXiv DOI
- Topological recursion for Masur–Veech volumes arXiv DOI
Teaching
- Toric Geometry, lecturer, ETHZ, Spring 2025
- Moduli spaces of Riemann surfaces, PhD mini-course, Les Houches, Summer 2024
- Riemann Surfaces, lecturer, ETHZ, Spring 2024
- Hurwitz numbers and Gromov–Witten theory, PhD mini-course, Hiddensee, Summer 2022
- Topology, teaching assistent, UniTS, Spring 2017
- Linear algebra, teaching assistent, UniTS, Fall 2016
Organization of events
- Workshop Refinement in Enumerative Geometry and Physics, Bangalore (22 Jun–3 Jul, 2026)
- School Quantum Geometry, Les Houches (29 Jul–23 Agu, 2024)
- School Topological recursion and integrability, Trieste (11–16 Sep, 2023)
- Conference Moduli spaces: theory and coding, Les Diablerets (27 Feb–3 Mar, 2023)
- School + workshop TR Salento 2022, Otranto (5–16 Sep, 2022)
- Conference Recent advances on moduli spaces of curves, Leysin (18–24 Mar, 2022)
- Reading group Donaldson–Thomas invariants, MPIM (Spring 2020)
- Reading group Integer points in polyhedra, MPIM (Fall 2019)
- Reading group Geometric recursion, MPIM (Fall 2018)
Honours
- Oct 2023–Sep 2025 ETH Fellowship
- 2018 Marco Reni prize
- Sep 2015–Sep 2017 SISSA MSc Fellowship
- 2012/13 Best freshman, University of Trieste
- Sep 2012–Sep 2015 Luciano Fonda BSc Fellowship