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/
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.
Biography
I am a postdoctoral researcher in the group of Martin Hairer. Previously, I was a postdoc at Adam Mickiewicz University in Poznań and Max Planck Institute for Mathematics in the Sciences in Leipzig. I received my PhD in 2017 from the Jagiellonian University in Kraków.Publications
Selected publications
| P. Duch |
Construction of Gross-Neveu model using Polchinski flow equation |
| P. Duch, M. Gubinelli, P. Rinaldi |
Parabolic stochastic quantisation of the fractional Φ_3^4 model in the full subcritical regime |
| P. Duch, W. Dybalski, A. Jahandideh |
Stochastic quantization of two-dimensional P_2(Φ) Quantum Field Theory |
| P. Duch |
Renormalization of singular elliptic stochastic PDEs using flow equation |
| P. Duch |
Flow equation approach to singular stochastic PDEs |
Teaching & PhD
Teaching
Mathematics
Courses
Theory of stochastic calculus
Introduction to the mathematical theory of stochastic calculus: construction of stochastic Ito integral, proof of Ito formula, introduction to stochastic differential equations, Girsanov theorem and Feynman-Kac formula, martingale representation theorem.