Integrating Spectral and Geometric data on Moduli Space

InSpeGMos is a research project which has been awarded an ERC Advanced Grant. Funded from the ERC AdG 2022 call, lead by Université de Strasbourg, it will start on September 2023 for a duration of 5 years.

Main research objectives

The project is focussed on the geometry and spectrum of random objects (specifically, hyperbolic surfaces and discrete graphs). The central object of study is the Weil-Petersson measure on the moduli space of compact hyperbolic surfaces. The overall goal is to develop new integration techniques that will allow to study geometric and spectral data of random hyperbolic surfaces, with an aim to establishing limit theorems. The project involves various branches of mathematics (geometry, probability, analysis, spectral theory) We welcome applicants with various backgrounds, provided they are willing to learn other topics. We will particularly appreciate applicants with a strong background in Teichmüller theory / hyperbolic geometry / spectral geometry / random geometry / study of random graphs models and their spectrum.

See here for the scientific proposal.


Applications are open for a post-doctoral position (2 years, 2023/25, see here) and for a PhD position (3 years, 2023/26, see here). Deadline : July 2nd, 2023.
New calls for PhD and postdoc positions will be opened later on (for 2024/27 and 2025/28).