My research area covers number theory, algebra, arithmetic geometry, non-Archimedean analytic geometry, Berkovich spaces and computer science.
During the Summer term 2017-18 I organize the Oberseminar Arakelov-Theorie. The goal is to study a recent preprint from Sébastien Boucksom and Dennis Eriksson about non-Archimedean metrized line bundles, and relating relations between quantites such as non-Archimedean volumes and Monge-Ampère integrals. For more informations, see the program.
I am an invited speaker at the conference Berkovich spaces that will take place in July 2018 at the IHP.
Check out my last preprint with Walter Gubler, Philipp Jell and Klaus Künnemann. We use test ideals as a replacement of multiplier ideals to make some progress in non-Archimedean pluripotential theory.
I co-organized the Workshop Regensburg days on non-Archimedean geometry in July 2016. Poster.
During the Winter term 2016-17, I organized with Philipp Jell the Oberseminar Arakelov-Theorie on the Uniform Mordell conjecture. See the program.