David Klompenhouwer

Welcome to my webpage! I am a PhD student at the University of Padova working in enumerative geometry and integrable hierarchies, supervised by Paolo Rossi and co-supervised by Renzo Cavalieri.

Keywords (geometry): Enumerative geometry, moduli space of curves, cohomological field theories, double ramification cycle, admissible cycles, meromorphic differentials, spin structures, Hurwitz theory.

Keywords (integrable hierarchies): Double ramification hierarchy, Dubrovin-Zhang hierarchy, KP-type hierarchies and their reductions.

Emails:
klompenh (at) math (dot) unipd (dot) it
david (dot) klompenhouwer (at) studenti (dot) unipd (dot) it
david (dot) klompy (at) gmail (dot) com

I will be in Fort Collins, Colorado, visiting Renzo Cavalieri at CSU from 22 September 2025 until the end of the year :) I will give a short series of lectures on Integrable hierarchies in enumerative geometry at the MMARGS seminar.

Writings:

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy, with Stijn Velstra (arXiv).

The Witten-Kontsevich theorem (master thesis).
Categorification of the Legendre-Fenchel transform (summer 2020 project).

Talks:

Lecture series on "Integrable hierarchies in enumerative geometry" at the MMARGS seminar at Colorado State University, September - November. Here are some notes.
"Spin refinement of moduli spaces of meromorphic differentials and the BKP hierarchy" - contributed talk at the conference Perspectives of Hurwitz theory: moduli spaces, topological recursion and tropical geometry in Dublin, 26/6/2025.
"Meromorphic differentials, spin structures, and the BKP hierarchy" - contributed talk at the workshop Spin structures in enumerative geometry in Leiden, 16/6/2025.
"Meromorphic differentials, spin structures, and the BKP hierarchy" - contributed talk at the workshop New Trends in Moduli, Integrability and Deformations in Padova, 11/6/2025.

Organization:

Co-organized the workshop New Trends in Moduli, Integrability and Deformations in Padova, 9/6/2025 - 12/6/2025.

Events attended:

Summer school RTG 2965 - From Geometry to Numbers: Moduli, Hodge Theory, Rational Points in Padova, 15/9/2025 - 19/9/2025.
Summer school Tropical insights in algebraic geometry and moduli theory in Trento, 1/9/2025 - 5/9/2025
Conference Perspectives of Hurwitz theory: moduli spaces, topological recursion and tropical geometry in Dublin, 25/6/2025 - 27/6/2025.
Workshop Spin structures in enumerative geometry in Leiden, 16/6/2025 - 18/6/2025.
Summer school Logs and stacks in birational geometry and moduli in London, 1/7/2024 - 5/7/2024.
Workshop Integrable Systems: Geometrical and Analytical approaches in Trieste, 3/6/2024 - 7/6/2024.
Workshop Poisson brackets and Integrability in Amsterdam, 28/2/2023 - 1/3/2024.
Summer school Enumerative geometry, quantisation and moduli spaces in Cetraro, 4/9/2023 - 8/9/2023.
Conference Spaces, Structures, Symmetries in Bari, 29/8/2022 - 2/9/2022.

Teaching:

Teaching assistant for the Bachelor course Calculus 1 (for engineers) at the University of Padova, autumn 2024.
Teaching assistant for the Bachelor course Geometria 1 at the University of Padova, autumn 2024.
Teaching assistant for the Bachelor course Complexe functietheorie at the University of Leiden, spring 2022.

Education:

PhD in Mathematics, University of Padova, 2023-2026.
Supervised by Paolo Rossi, co-supervised by Renzo Cavalieri.
Master in Algebra, Geometry and Number Theory (ALGANT), 2021-2023.
Year 1: University of Leiden
Year 2: University of Padova
Supervisor: Paolo Rossi.
BSc Mathematics and Physics, University of Edinburgh, 2018-2021.
Supervisor: Harry W. Braden.

Here is my CV (updated February 2025).