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Alexis Michelat

Dr Alexis Michelat

Status
Postdoctoral Research Associate
Contact form
CV
+44 1865 273519
Research groups
  • Geometry
  • Oxford Centre for Nonlinear PDE

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Prizes, awards, and scholarships

2020 ETH Medal for outstanding doctoral thesis.

Further details

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.

Research interests

Geometric Analysis, Willmore and minimal surfaces, Elliptic Partial Differential Equations.

Major / recent publications

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.

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