PhD position in Riemannian Geometry

Applications are invited for a PhD fellowship/scholarship at Graduate School of Natural Sciences, Aarhus University, Denmark, within the mathematics programme. The position is available from May 2026 or later. Title: PhD position in Riemannian Geometry Research area and project description: The position is funded by a Villum Investigator Grant and will be part of the research group led by Professor Fabrice Baudoin. Research Area The successful candidate will work in Riemannian geometry and related areas. Topics of interest include, but are not limited to: Geometric analysis on Riemannian manifolds Curvature and comparison geometry on Riemannian foliations Heat kernel methods and diffusion processes on manifolds Interactions between geometry, analysis, and probability The precise research direction will be shaped jointly by the PhD student and prof. Baudoin in accordance with the goals of the Villum Investigator project. For technical reasons, you must upload a project description. When - as here - you apply for a specific project, please simply copy the project description above, and upload it as a PDF in the application. If you wish to, you can indicate an URL where further information can be found. Qualifications and specific competences: Applicants should hold (or be close to completing) a Master’s degree in Mathematics with a strong background in: Differential geometry Riemannian geometry and/or geometric analysis Experience in related areas such as partial differential equations, probability on manifolds, or geometric measure theory will be considered an advantage. Excellent analytical skills and a strong motivation for research are essential. Place of employment and place of work: The place of employment is Aarhus University, and the place of work is Department of Mathematics - Aarhus University, Ny Munkegade 118, 8000 Aarhus C, Denmark. Contacts: Applicants seeking further information for this project are invited to contact: Professor Fabrice Baudoin, fbaudoin@math.au.dk How to apply: For information about application requirements and mandatory attachments, please see the Application guide. Please read the Application guide thoroughly before applying. When ready to apply, go to https://phd.nat.au.dk/for-applicants/apply-here/ (Note, the online application system opens 1 December 2025) Choose February 2026 Call with deadline 1 February 2026 at 23:59 CET. You will be directed to the call and must choose the programme “Mathematics”. In the boxed named “Study”: In the dropdown menu, please choose: “PhD position in Riemannian Geometry (PhpRiG)”