Dr Alexis Michelat
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
2020 ETH Medal for outstanding doctoral thesis.
I am currently a Postdoctoral Research Associate (in Optimal Transport Techniques in the Geometric Analysis of Spaces with Curvature Bounds) under the mentorship of Prof. Andrea Mondino until August 2022. In September 2022, I will join EPFL (Lausanne, Switzerland) as a Bernoulli Instructor.
Geometric Analysis, Willmore and minimal surfaces, Elliptic Partial Differential Equations.
On the Morse Index of Critical Points in the Viscosity Method
Calc. Var. Partial Differential Equations (2022), 61:42, 42p.
Quantization of the Willmore Energy in Riemannian Manifolds
with Andrea Mondino
arXiv:2112.13831 (2021)
The Loewner Energy via Moving Frames and Surfaces of Finite Renormalised Area Bounding Weil-Petersson Curves
with Yilin Wang
arXiv:2111.14748 (2021)
On the Morse Index of Branched Willmore Spheres in 3-Space
Calc. Var. Partial Differential Equations (2021), 60:126, 97p.,
The Classification of Branched Willmore Spheres in the 3-Sphere and the 4-Sphere
with Tristan Rivière
Ann. Sci. de l'École Norm. Supérieure (2022+), to appear
Morse Index of Willmore spheres in $S^3$
Comm. Anal. Geom. 28 (2020), no. 6, p.1337–1406.
A viscosity method for the min-max construction of closed geodesics.
with Tristan Rivière
ESAIM Control Optim. Calc. Var. 22 (2016), no. 4, p.1282–1324.