Differential Geometry and General Relativity

Differential geometry is a branch of mathematics that studies curved spaces, also known as manifolds, and geometric structures on them. A geometric structure could for example be a notion of distance, angle, volume or curvature. Einstein's theory of general relativity is formulated in the language of differential geometry and such geometric structures model matter and the gravitational field in the universe.

In our research group, we are particularly interested in partial differential equations on manifolds and applications in differential geometry and general relativity. Our interests include:

• Nonlinear wave equations
• Geometric flows (Ricci flow, mean curvature flow,...)
• Einstein manifolds
• Mathematical cosmology
• Mass in general relativity

Seminars

We have a weekly research seminar which takes place on Thursdays at 10:00. In period 1, the talks will take place in the seminar room 3418 . For period 2, we will move to a seminar room at Stockholm University. A seminar schedule can be found here .

The past seminar talks during the academic year 2024-2025 can be found here .