Gerard Freixas Montplet

Guest researcher, Mathematical Sciences

I work in the field of Arakelov geometry, a formalism at the crossroads of complex geometry and number theory, developed since the nineteen seventies as a toolbox for the study of diophantine equations. At the beginning of my career I focused on applications to modular curves and other simple Shimura varieties, and then gradually moved to problems of a more analytical flavour. In recent years, with Dennis Eriksson (Chalmers tekniska högskola and Göteborgs universitet) as my main collaborator, I worked on situations which go beyond the original scope of the theory, such as mirror symmetry for Calabi-Yau varieties, and moduli spaces of vector bundles.

Page manager Published: Thu 07 Oct 2021.