A topological insulator is a material which is insulating in the bulk but conducting along its edge. Intriguingly, the existence of conducting edge modes stems not from…
The classical Calderón problem is a prototypical elliptic inverse problem. One seeks to recover in a non-invasive way an unknown conductivity of a conducting medium from…
We focus on analysis and data-driven algorithms for rare events such as essential conformational transitions in biochemical reactions which are modeled by Langevin…
Many inverse problems -- including the Calder\'on problem -- are notoriously ill-posed and only conditional stability estimates can be obtained. Since these are of great…
In the theory of turbulence, a famous conjecture of Onsager asserts that the threshold Hölder regularity for the total kinetic energy conservation of (spatially periodic…
Department of Mathematics
