Alexis Michelat
EPFL SB MATH
CM 1 617 (Centre Midi)
Station 10
1015 Lausanne
+41 21 693 35 43
Office: CM 1 617
EPFL › SB › MATH › MATH-GE
Website: https://math.epfl.ch/
+41 21 693 35 43
Office: CM 1 617
EPFL › SB › SB-SMA › SMA-ENS
Website: https://sma.epfl.ch/
2019-2020 : postdoc de la Fondation Sciences Mathématiques de Paris à l'Université de Paris (nouveau nom de l'Université Paris-Diderot) pendant une année sous la supervision de Frédéric Hélein ;
2020-2022 : postdoc financé par le FNS (via le Early Postdoc Mobility) à l'Université d'Oxford sous la supervision d'Andrea Mondino.
Depuis le 1er septembre 2022, je suis Instructeur Bernoulli à l'EPFL (Lausanne).
CV
Courses
Advanced linear algebra II
MATH-115(b)
The purpose of this course is to introduce some basic notions of linear algebra and to rigorously prove the main results in the field.
Calculus of variations
Introduction to classical Calculus of Variations and a selection of modern techniques. The Calculus of Variations aims at showing the existence of minimisers (or critical points) of functionals that naturally appear in mathematics and physics (Dirichlet energy, p-energy, etc).
Distribution and interpolation spaces
The goal of this course is to give an introduction to the theory of distributions and cover the fundamental results of Sobolev spaces including fractional spaces that appear in the interpolation theory. Those notions are central to the study of partial differential equations (PDE).