Person

Alexis Paul Benjamin Michelat

Après avoir soutenu ma thèse en 2019 à ETH Zürich sous la direction de Tristan Rivière , je fus 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 , et je fus ensuite un 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).

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https://people.epfl.ch/alexis.michelat

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Official source

https://people.epfl.ch/alexis.michelat

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Related units (1)

MATH - Administration

Courses taught by this person (3)

MATH-502: 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 theor

MATH-115(b): Advanced linear algebra II

L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire et de démontrer rigoureusement les résultats principaux du sujet.

MATH-437: 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 n

Related publications (2)

Please note that this is not a complete list of this person’s publications. It includes only semantically relevant works. For a full list, please refer to Infoscience.

Morse Index Stability of Biharmonic Maps in Critical Dimension

Alexis Paul Benjamin Michelat

In December 2022, Da Lio, Gianocca, and Rivière developed a new theory to prove the upper semi-continuity of the sum of the Morse index and the nullity in geometric analysis (Da Lio, Gianocca, and Rivière in Morse index stability for critical points to con ...

2025

The Loewner Energy via the Renormalised Energy of Moving Frames

Alexis Paul Benjamin Michelat

We obtain a new formula for the Loewner energy of Jordan curves on the sphere, which is a Kahler potential for the essentially unique Kahler metric on the Weil-Petersson universal Teichmuller space, as the renormalised energy of moving frames on the two do ...

Springer2024