Mateusz Kujawski

I like mathematics and colors. Naturally I am interested in low dimensional topology. I mostly enjoy thinking about exotic phenomena in dimension 4. Recently, I have been working Kontsevich configuration invariants and classical approach to exotica due to Milnor et al.

I am PhD student of Maciej Borodzik and Piotr Pokora at UKEN in Cracow. Before that I was a MSc and BSc student in Warsaw. Here is my CV (last updated October 2025).

Math projects

Here is what I have been doing lately:

• Slides for my talk An attempt at defining Watanabe's propagators for the 4-torus. Here are my notes. Glasgow, 02.09.2025.
• My Masters thesis, of course. I review some of the recent work of Watanabe that concerns diffeomorphism groups of spheres: the original preprint. It also contains some computations for manifolds other than spheres.
• A two-person seminar based on Rolfsen's Knots and Links book. Here is the repo with our solutions to exercises. I am especially proud of the .cls file. This project is actively developed.
• Slides for my talk on Whitehead Groups at the K-Theory student seminar in Warsaw (in polish). The original lectures by Jacob Lurie are probably a better resource, but they do not contain clickable elements.
• Slides for my talk on the Bott Periodicity Theorem at the K-Theory student seminar in Warsaw (in polish)

Other

• My dotfiles repo. I use my computer mainly for writing things in latex, it might be useful for somebody.
• METAPOST code to draw a Borromean link and its generalization with more components.