michal [dot] szwej [at] bristol [dot] ac [dot] uk
I am a first-year PhD student under the supervision of Professor Mark Wildon at the University of Bristol.
Prior to that, I obtained a BA and an MMath (Part III) from the University of Cambridge (Queens' College).
My main interests revolve around algebraic combinatorics and include the modular representation theory of general linear groups and symmetric groups, enumerative combinatorics, q-binomial coefficients, symmetric polynomials, and plethysms.
A New Bijective Proof of the q-Pfaff--Saalschütz Identity with Applications to Quantum Groups (with Á. Gutiérrez, Á. L. Martínez, and M. Wildon). arXiv:2505.08422
Part III essay Combinatorics of Crystal Bases (supervised by Professor Stuart Martin).
A New Bijective Proof of the q-Pfaff--Saalschütz Identity with Applications to Quantum Groups
6th Graduate Student Meeting in Applied Algebra and Combinatorics (GSMAAC), University of Bologna. (poster presentation; April 2025)
Introduction to Modern Advances in Algebra (ITMAIA), University of Manchester. (April 2025)
93rd Seminaire Lothringien de Combinatoire, Pocincho, Portugal. (March 2025)
Bristol Junior Algebra and Combinatorics Seminar, University of Bristol. (February 2025)
Other Conferences Attended
The 37th international conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Hokkaido University, Sapporo. (July 2025)
Modular Lie Theory, University of York. (July 2025)
Representation Theory in Birmingham, University of Birmingham. (May 2025)
Analysis I tutor, University of Bristol (Jan 2025 -- Apr 2025)
Maths Olympiad tutor, Mat Edukacja (Aug 2024 -- present)
IKOMJ Maths Club organiser, Polish Junior Maths Olympiad (official booklet; Sep 2018 -- Mar 2020)
In the spring of 2026, I will be co-organising the 7th Graduate Student Meeting in Applied Algebra and Combinatorics in Bristol.