I did my PhD under the supervision of Tamas Hausel at EPFL and the Institue of Science and Technology Austria . From 2017-2019 I was a postdoctoral researcher at the Sorbonne University Paris 6 with François Loeser. Since September 2019 I hold the chair of arithmetic geometry at EPFL as a tenure track assistant professor. For more information see my CV.
I work in algebraic and arithmetic geometry. My research uses ideas from p-adic and motivic integration to study the interplay between geometric and arithmetic aspects of the cohomolgy of algebraic varieteis. We have found applications of the ideas to moduli spaces appearing in mirror symmetry, the Langlands program and enumerativ geometry.
Teaching & PhD
PhD Students
Past EPFL PhD Students
Ilaria Rossinelli (2025), Tanguy Vernet (2024)
Courses
Algebra I - fundamental structures
MATH-113
The aim of this course is to introduce and study the basic notions of abstract algebra.
Differential geometry II - smooth manifolds
MATH-322
Smooth manifolds constitute a certain class of topological spaces which locally look like some Euclidean space R^n and on which one can do calculus. We introduce the key concepts of this subject, such as vector fields, differential forms, etc.
Student seminar in pure mathematics
MATH-563
The goal of the seminar is to learn the main aspects of de Rham cohomology following the book of Bott-Tu 'Differential Forms in Algebraic Topology'. We will aim to understand the definition of Chern classes of a vector bundle, a fundamental concept in topology, differential and algebraic geometry.