Analysis and Geometry

Research Group

Introduction

The analysis group has a wide range of interests, including functional analysis, harmonic analysis, (partial) differential equations, dynamical systems, and ergodic theory. We are particularly fascinated by the connections between classical analysis and the quantum world, such as quantum mechanics, quantum field theory, and quantum information. One of our group members has initiated research on Quantum Fourier analysis, which establishes a link between Fourier analysis and quantum symmetries. We anticipate discovering even deeper intrinsic connections between analysis and other fields in the future.

The BIMSA Differential Geometers is a newly founded research group investigating a wide range of questions arising in differential geometry and applications thereof.
There exist very natural interconnections to areas such as mathematical physics, algebraic geometry, computer graphics and analysis. The focus of our current members is on integrable geometric differential equations, minimal and Willmore surfaces, Riemann surfaces, Riemannian manifolds with special holonomies, geometric structures, hyperbolic geometry, derived C^∞-geometry, symplectic geometry and geometric analysis. If you want to know more, feel free to contact any of us or just drop by at our weekly seminar on Wednesday afternoons.