Teaching
Classes
| Academic year | Class | 
|---|---|
| 2025/2026 (fall) | Analysis I: One Variable, undergraduate class (ETH Zürich) | 
| 2023/2024 (fall) | Analysis I: One Variable, undergraduate class (ETH Zürich) | 
| 2022/2023 (spring) | Variational Problems and PDEs, graduate class (ETH Zürich) | 
| 2021/2022 (fall) | Harmonic Analysis, graduate class (ETH Zürich) | 
| 2020/2021 (spring) | An Introduction to the Calculus of Variations, graduate class (ETH Zürich) | 
| 2019/2020 (fall) | Optimal transport, graduate class (ETH Zürich) | 
| 2018/2019 (spring) | Topics in Partial Differential Equations, graduate class (ETH Zürich) | 
| 2018/2019 (fall) | Analysis III, undergraduate class (ETH Zürich) | 
| 2017/2018 (fall) | Analysis III, undergraduate class (ETH Zürich) | 
| 2016/2017 (spring) | Topics in the calculus of variations, graduate class (ETH Zürich) | 
| 2016/2017 (fall) | Free Boundary Problems, graduate class (ETH Zürich) | 
| 2015/2016 (spring) | Hamilton-Jacobi equations and dynamics, graduate class (UT Austin) | 
| 2015/2016 (spring) | PDE II, graduate class (UT Austin) | 
| 2014/2015 (spring) | PDE II, graduate class (UT Austin) | 
| 2014/2015 (fall) | The Monge-Ampère equation and its applications, Nachdiplom Lectures (ETH Zürich) | 
| 2013/2014 (spring) | Topics in nonlinear analysis, graduate class (UT Austin) | 
| 2012/2013 (spring) | Optimal transport, graduate class (UT Austin) | 
| 2012/2013 (fall) | Topics in Differential Equations, graduate class (MIT) | 
| 2011/2012 (spring) | Calculus of Variations, graduate class (UT Austin) | 
| 2011/2012 (spring) | PDE II, graduate class (UT Austin) | 
| 2010/2011 (spring) | Geometric Measury Theory, graduate class (UT Austin) | 
| 2010/2011 (spring) | PDE II, graduate class (UT Austin) | 
| 2008/2009 (spring) | Transport optimal et applications (in french), graduate class (Université Paris-Sud XI, Faculté d'Orsay) | 
| 2008/2009 (fall) | Equations différentielles et systèmes dynamiques (in french), undergraduate class (Ecole Polytechnique) | 
Invited graduate or research-level courses
| Date | Class | 
|---|---|
| An introduction to classical optimal transport Erdős Center - Alfréd Rényi Institute of Mathematics (Budapest, Hungary) | |
| Free boundary regularity in obstacle problems Journées EDP 2018 (Obernai, France) | |
| The obstacle problem Conference on Particle Systems and PDE's (Nice, France) | |
| The obstacle problem Summer School at OxPDE (Oxford, UK) | |
| Regularity results for local and non-local energy interactions CIME Summer School on Nonlocal and nonlinear diffusions and interactions: new methods and directions (Cetraro, Italy) | |
| Flow of nonsmooth vector fields and applications The 6th Korea PDE school at NIMS (Daejeon, Korea) | |
| Flow of nonsmooth vector fields and applications International Workshop on Elliptic and Kinetic Partial Differential Equations at IMPA (Rio de Janeiro, Brazil) | |
| The Monge-Ampère equation Thomas Wolff Memorial Lectures in Mathematics at Caltech (Pasadena, CA, USA) | |
| Nonlocal minimal surfaces School-Workshop Nonlocal days in Basel (Basel, Switzerland) | |
| Regularity results in free boundary problems EMS Summer School on Interactions between Dynamical Systems and Partial Differential Equations (Barcelona, Spain) | |
| Trasporto ottimale ed equazioni di tipo Monge-Ampère 1 Corso Intensivo di Calcolo delle Variazioni (Catania, Italy) | |
| Monge-Ampère type equations and applications CIME Summer School on Partial Differential Equations and Geometric Measure Theory (Cetraro, Italy) | |
| Stability results for geometric and functional inequalities Nirenberg Lectures in Geometric Analysis at CRM (Montreal, Canada) | |
| Regularity for the Monge-Ampère equation, with applications to the semigeostrophic equations School-Workshop on Kinetics, non standard diffusions and stochastics: emerging challenges in the sciences (Austin, TX, USA) | |
| Stability results for geometric inequalities Summer School on Geometric Measure Theory and Optimal Transport at ICTP (Trieste, Italy) | |
| Stabilité dans les inégalités fonctionnelles, transport optimal et EDP Cours Peccot at the Collège de France (Paris, France) | |
| Optimal transport, functional inequalities and Riemannian geometry Summer School on Aubry Mather Theory and Optimal Transport (Lisbon, Portugal) | |
| Free boundaries in variational problems ERC-Summer School on Calculus of Variations, Continuum Mechanics and Geometric Inequalities (Ischia, Italy) | |
| Variational models for the incompressible Euler equations Summer School during the Trimester Program on Nonlinear Hyperbolic PDEs, Dispersive and Transport Equation: Analysis and Control (Trieste, Italy) | |
| Applications of optimal transport to isoperimetric inequalities and Riemannian geometry Summer School on Optimal mass transport and geometric inequalities (Riezlern, Austria) | |
| Optimal transport and applications 2009-2010 Salomon Bockner Lectures in Mathematics (Houston, Texas USA) | |
| Variational models for the incompressible Euler equations Summer School on Optimal Transportation: Theory and Applications (Grenoble, France) | |
| Variational models for the incompressible Euler equations Summer School on Optimal transportation structures, gradient flows and entropy methods for applied PDE's (Vienna, Austria) | 
