Daniele SemolaI am a Hermann-Weyl Instructor at FIM-ETH in Zürich since January 2023.
Research interests
My research interests lie at the interface between Analysis and Geometry, and they are often motivated by problems involving Curvature. This concept is ubiquitous in Mathematics and Sciences more in general, a prominent example being Einstein's equations of General Relativity. Within this area, a large part of my work has been dedicated to the theory of non-smooth spaces with curvature bounds and its applications to classical problems in Geometric Analysis. A key for these applications is the observation that regularity is a highly unstable condition, a priori, and its loss can be traded for a gain of compactness. This is very much in analogy with the role of Sobolev spaces in Partial Differential Equations. A more detailed description of my research interests can be found here. |
Postdoctoral Fellow
FIM-Institute for Mathematical Research, ETH Zürich. daniele.semola.math AT gmail.com daniele.semola AT math.ethz.ch ResearchGate, Scholar & CvGmt |