I am currently a PostDoc at SISSA (Scuola Internazionale Superiore di Studi Avanzati) in Trieste, Italy in the research group of Nicola Gigli. My main research interest is synthetic Lorentzian geometry. Starting with the theory of Lorentzian length spaces, this rapidly developing field was originally motivated by providing new tools in the study of singularities and low regularity phenomena in Lorentzian geometry, the mathematical language of general relativity, and gained immense traction in less than a decade. Synthetic methods are on their way to becoming just as impactful in Lorentzian geometry as they are in the positive signature setting. This area of research is very accessible and sits at the intersection of Lorentzian geometry, metric geometry, optimal transport and general relativity.
I am specifically interested in transporting successful tools and machinery from metric geometry to the Lorentzian setting. My initial research activities were focused around sectional curvature bounds (in the sense of triangle comparison), but recently I am also interested in more analytical properties.
You can contact me at: frott (at) sissa (dot) it