My undergraduate thesis in quantum computing with advisor Jamie Pommersheim. I used representation theoretic tools to analyze lower bounds of certain classes of quantum algorithms.

Abelian unramified geometric class field theory

Discrete Fourier transform in positive characteristic for cyclic group and symmetric group.

Computer algebra package for rational Cherednik algebras and Calogero-Moser spaces.

Handout for a seminar talk about the Hall algebra of the Jordan quiver over F1.

Representation Theory of Algebras (VUB)

Rings and modules (VUB)

Associative algebra (VUB)

SAGE code for local A-packets of classical groups

In this project, we attempt to reformulate various notions from classical commutative algebra (such as flatness, regularity, smoothness, etc.) in an entirely categorical manner, so as to be able to later write down their analogues in derived algebraic geometry without having to develop extra theory. We will also be presenting certain application…

My mathematics research page

CM uniquement.

Group invariant QML and Representation theory for Geometric QML project.

Working with symmetric functions (elementary, complete homogeneous, power sum, monomial and Schur) and associated combinatorics

A Python-based Rubik's Cube simulator and visualizer using matrix algebra for efficient representation, manipulation, and visualization of the cube's state. Includes a group theory approach to cube operations and a proof-of-concept visualization module using Matplotlib.

Characters of the symmetric group in Haskell

A web-based game to illustrate the faithfulness problem for the Burau representation of the four strand braid group