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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 Elsa Maneval, Mathis Duguin Past EPFL PhD Students Tanguy Vernet, Ilaria Rossinelli Courses Algebra I - fundamental structures MATH-113 The aim of this course is to introduce and study the basic notions of abstract algebra. Quantum Cohomology MATH-747 The goal of the course is to learn the basics of Quantum cohomology following "An Invitation toQuantum Cohomology" by Kock and Vainsencher. Every participant prepares a 90 minutes lecture as well as an exercise session. Student seminar in pure mathematics MATH-563 The goal of the seminar is to learn the main aspects of class field theory, which aims at understanding abelian extensions of global fields in terms of the arithmetic of the field. The theory can also be seenas a first instance of the Langlands correspondence. Topology II - fundamental groups MATH-225 We study the topological notions of union and quotients of spaces; we discuss covering spaces and fundamental groups further, The notion of cell attachement is introduced and the Seifert-van Kampen Theorem is proven. Examples of surfaces illustrate the techniques.
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Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia