Introduction
I obtained my undergraduate degree in Mathematics from the University of Warsaw in 2019, spending one year at the Hausdorff Center for Mathematics in Bonn. From October 2019 to August 2023, I was a PhD student at the Institute of Mathematics of the Polish Academy of Sciences under the supervision of Piotr Gwiazda. During my PhD, I spent more than two years at the Laboratoire Jacques-Louis Lions in Paris, working with Benoit Perthame. Since September 2023, I have been a postdoctoral research associate in the group of Jose A. Carrillo at Oxford.
Teaching
Over the past few years, I have taught both introductory courses (Dynamics, Fluids and Waves, Constructive Mathematics, Special Relativity) and more advanced ones (Functional Analysis, Partial Differential Equations, Hyperbolic Conservation Laws).
Research
I work in the field of partial differential equations, which are commonly used to model a wide range of physical phenomena, such as heat, fluid dynamics, and quantum mechanics. My current focus is on singular limits, rigorously proving that one equation can be derived from another. I also work with equations arising in data science and machine learning, aiming to enhance the understanding and effectiveness of widely used methods in these areas.