braid-groups

Computes free splittings of graph braid groups.

Search for non-trivial elements of the kernel of the Burau representation of the four-strand braid group.

Braid groups in R.

Computes presentations of graph braid groups.

Who's there? Julia toolkit spanning knot diagrams and invariants, quandles and braid closures, plus elastic-rod mechanics and protistological topology; bridges mathematical theory and physical practice.

Library for the calculation and understanding of the Alexander Data, a proposed invariant for textiles. (MSc Data Science & AI Dissertation)

The primary objective of this study is to explore the application of Grover’s Algorithm to structured problems inspired by braid groups. Given a target tangle (a known permutation of 3 strands), the quantum circuit finds the exact braid word (sequence of 3 crossing moves) that produced it — without being told what the word is.

Code & data for "A dichotomous Leggett–Garg witness for braid-representation density in SU(2)_k."

My master's thesis in low-dimensional topology

A deterministic software architecture built on geometric first principles, artin braid groups, E8 jordan lie algebra, conway-sloane quantization, topology and much much more, it is an ambitious project and I have built several prototypes each building upon the last, more and more research provides me with more pathways.