Complex geometry and Homotopy type theory

Institute for Mathematics, Heidelberg University

Order 7 triangular tiling, Public domain.

Research interests

  • Higgs bundles.
  • Character varieties.
  • Gauge theory.
  • Moduli spaces.
  • Orbifolds and stacks.
  • Fuchsian groups.
  • Topology of real algebraic varieties.
  • Homotopy type theory.
  • Formal mathematics.
  • Computer-assisted proof.

Team

  • Prof. Florent Schaffhauser (Principal investigator).
  • Dr. Tommaso Scognamiglio (Scientific collaborator).

Project collaborators

Funding

  • Excellence grant: Mobility in International Research Collaboration, 2024-2026. Project ID: ExU 11.2.1.45. Role: PI.
  • AEI-DFG joint Spanish-German research project, 2025-2028. Project ID: SCHA 2147_1-1 AOBJ 706923. Role: PI.

Seminars

Activities

Publications

  1. Daniele Alessandrini, Gye-Seon Lee and Florent Schaffhauser. Hitchin components for orbifolds. J. Eur. Math. Soc. 25 (2023), no. 4, pp. 1285–1347.
  2. Erwan Brugallé and Florent Schaffhauser. Maximality of moduli spaces of vector bundles on curves. Épijournal de Géométrie Algébrique (EPIGA), Volume 6 (2023).
  3. Juan Martín Pérez and Florent Schaffhauser. Orbifolds and the modular curve. In Ohshika, K., Papadopoulos, A. (eds) In the Tradition of Thurston III, pp 365–421, Springer (First online: 19 March 2024).
  4. Tommaso Scognamiglio. Cohomology of non-generic character stacks. Journal de l’École polytechnique — Mathématiques, Volume 11 (2024), pp. 1287-1371

Preprints

  1. Juan Sebastián Numpaque-Roa and Florent Schaffhauser. Flat torsors in complex geometry. arXiv:2412.15914. To appear in Moduli, Motives and Bundles, New Trends in Algebraic Geometry, LMS Lecture Note Series (CUP).
  2. Florent Schaffhauser and Tommaso Scognamiglio. Real Bialynicki-Birula flows in moduli spaces of Higgs bundles. arXiv:2507.18613.

Job openings

PostDoc-01.12.2024

This position has now been filled.

We are currently advertising a 12-month postdoctoral position in Complex and Differential Geometry, with moderate teaching responsibilities (~2h/week, in English or German), renewable for up to another 12 months (subject to funding availability).

  • Application deadline: 01.02.2025.
  • Response date: 01.04.2025.
  • Start date: 01.10.2025.
  • Salary scale: E13 TV-L 100% (commensurate with experience).

Keywords: Higgs bundles, character varieties, orbifold groups.

To apply, send the documents listed below to the email address

fschaffhauser_@_mathi.uni-heidelberg.de (change _@_ to @)

with subject line

AM-CoDiGeom-2024-1.

  1. A CV (2-page max) containing:
    1. The list of your publications,
    2. A summary of your teaching experience,
    3. The name of two potential reference persons.
  2. A research statement (5-page max, including bibliography), presenting:
    1. Your past results,
    2. Your ongoing collaborations (if any),
    3. Your research plans.

Please include clickable links to your publications and preprints in your CV. You may include a brief paragraph in your email, about why working in Heidelberg motivates you. There is no need to have the reference persons send their letter by the deadline, but make sure they agree to be asked for a letter later on in the process.

Heidelberg University stands for equal opportunities and diversity. Qualified female candidates are especially invited to apply. Persons with severe disabilities will be given preference if they are equally qualified. Information on job advertisements, the evaluation statute and the collection of personal data is available at https://www.uni-heidelberg.de/en/job-market.