### 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