Pawel Duch

EPFL SB MATH PROPDE
MA B2 487 (Bâtiment MA)
Station 8
1015 Lausanne

Web site:  Web site:  https://www.epfl.ch/labs/propde/

EPFL SB MATH PROPDE
MA B2 487 (Bâtiment MA)
Station 8
1015 Lausanne

Web site:  Web site:  https://sma.epfl.ch/

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Administrative data

Fields of expertise

My present research focuses on the intersection between probability theory, PDE theory and Euclidean quantum field theory. I am especially interested in problems involving singular stochastic partial differential equations and renormalization. I have also a background in mathematical aspects of perturbative and axiomatic quantum field theory as well as general relativity.

Teaching & PhD

Teaching

Mathematics

Courses

Martingales and Brownian motion

Introduction to the theory of discrete-time martingales including, in particular, the convergence and stopping time theorems. Application to branching processes. Introduction to Brownian motion and study of its properties.