About Me
I am a postdoctoral researcher in the group of Martin Hairer at the École Polytechnique Fédérale de Lausanne. 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.
Research interests
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.
Recent papers
- P. Duch, Construction of Gross-Neveu model using Polchinski flow equation, arXiv:2403.18562
- P. Duch, M. Gubinelli, P. Rinaldi, Parabolic stochastic quantisation of the fractional Φ_3^4 model in the full subcritical regime, arXiv:2303.18112
- P. Duch, W. Dybalski and A. Jahandideh, Stochastic quantization of two-dimensional P(Φ) Quantum Field Theory, arXiv:2311.04137
- P. Duch, Renormalization of singular elliptic stochastic PDEs using flow equation, arXiv:2201.05031
- P. Duch, Flow equation approach to singular stochastic PDEs, arXiv:2109.11380
For a complete list of published papers and preprints see my arXiv or Google Scholar profiles.
Lecture notes
Lecture notes for the mini-course "Flow equation approach to singular stochastic PDEs" taught at "Summer School on Stochastic Analysis" (Lausanne, 7-18 August 2023).
Lecture notes for the mini-course "Construction of fractional Φ_3^4 model of Euclidean QFT using flow equation approach to singular SPDEs" taught at the workshop "New developments and challenges in Stochastic Partial Differential Equations" (Lausanne, 17-21 June 2024).
Organisation
47th LQP workshop "Foundations and Constructive Aspects of QFT" (21-22 September 2023, co-organiser).
Contact
Email: pawel dot duch at epfl dot ch
Phone: +41 21 693 75 38
EPFL SB MATH PROPDE
MA B2 487 (Bâtiment MA)
Station 8
1015 Lausanne
Switzerland
Office: MA B2 487