The Department of Mathematics and Mathematical Statistics is offering a postdoctoral scholarship in stochastic geometry. The scholarship is full-time for two years, with access on 1 November 2025 or by agreement.

Project description:
This scholarship is part of a research initiative aimed at developing a new mathematical theory for stochastic geometry on so-called M-polyfolds, spaces with locally varying dimensions. The project aims to enable modelling of systems where the number of degrees of freedom changes, which is relevant in areas such as artificial intelligence, signal processing, and physics.

The project will focus on:

Developing stochastic analysis and stochastic differential equations on M-polyfolds, which involves establishing concepts such as flows and drifts in an environment with variable dimension.
Proving a variant of the central limit theorem for a class of M-polyfolds, thereby showing that fundamental statistical principles remain valid despite changes in dimensional conditions.
Creating a framework for signal processing on M-polyfolds, with particular emphasis on radio and communication systems that require adaptation to varying numbers of connected devices.
The postdoctoral fellow is expected to conduct research in collaboration with the project group according to a jointly agreed research plan, present results at international conferences, and actively participate in joint seminars and workshops.

The postdoctoral scholarship is based at the Department of Mathematics and Mathematical Statistics at Umeå University.

This postdoctoral scholarship is financed and administrated by the Kempe Foundations (project number JCSMK25-0004). The stipend is tax-free and will be 750 000 SEK for two years, meaning 375 000 SEK per year.

Umeå provides outstanding working and living conditions. This youthful city is situated beside a large river, surrounded by forests and lakes, and is near the sea. The area offers numerous opportunities for both indoor and outdoor activities.