Computes free splittings of graph braid groups.
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Updated
Mar 6, 2024 - Python
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.
Computes presentations of graph braid groups.
Code & data for "A dichotomous Leggett–Garg witness for braid-representation density in SU(2)_k."
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.
Experimental cryptographic hash/XOF research project combining finite-field arithmetic, Feistel rounds, a sponge construction, and Garside braid normalization. Includes a C reference implementation, reproducible tests, and cryptanalysis reports. Not for production use.
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.
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