Associative algebra (VUB)

Main development repository for GAP - Groups, Algorithms, Programming, a System for Computational Discrete Algebra

On-the-fly generator of space-group irreducible representations

My mathematics research page

A research-oriented multiplayer battle game where you train AI agents to compete in a zombie-infested arena!

Miscellaneous math research calculations in various languages.

Rings and modules (VUB)

QSym² - a Rust program for Quantum Symbolic Symmetry. This is only a mirror. Please visit the main repository on GitLab. Documentation at https://qsym2.dev.

Decompose representations of finite groups into irreducibles

Linear-time sequence modeling that replaces attention's O(n²d) complexity with O(nd) summation-based aggregation. Demonstrates constraint-driven emergence: how functional representations can develop from optimization pressure and architectural constraints alone, without explicit pairwise interactions.

DecomposingGroupRepresentations.jl is a Julia package that provides an API for decomposing representations of reductive groups acting on multivariate polynomials.

Compute the knowledge matrices associated to a neural network.

A computer algebra system in Smalltalk

Tools for exploiting Morphological Symmetries in robotics

arXiv:2507.21316 Notebooks showing the lifting of primitive idempotents from the group algebras F_pA_5 (p=2,3,5) to the group algebra QA_5.

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.

This repository contains the work of project on the representation theory of compact groups. We first proved the Peter–Weyl theorem and then apply it to compute the unitary duals of two famous examples.

Representation Theory of Algebras (VUB)

A Mathematica package developed for mathematical physics research involving Hopf algebras, representation theory, and fusion categories. This package was originally developped to support my research direction in R-parastatistics [Nature 637, 314-318 (2025)], but can also be used more broadly for studying topological order and generalized symmetry.