Collective residencies / MATHEMATICS II / Olot
XAVIER GUITART
From Tuesday, 20 February 2018 to Friday, 23 March 2018
Bio
He did his PhD on number theory at the Universitat Politècnica de Catalunya. He spent some time as a postdoc in Bonn and then in Essen. He joined the Universitat de Barcelona in 2014 as a Juan de la Cierva postdoc and shortly after as a lecturer.
Project
My research interests are mainly related to elliptic curves and the problem of finding rational points on them. For some years now I have been working with Marc Masdeu on Darmon points, which are a conjectural generalization of the more classical Heegner points but for real quadratic fields. I am also interested on p-adic iterated integrals, a different (but related) method for finding rational points.