Homebrew formulae for the various software projects produced by Jason Cantarella's lab at UGA

shows mathematically created 3D knots and let the user change the currently shown one

Python library providing functionality for the creation and rendering of Artin braids.

Preform Reidemeister moves on Signed Planar Graphs

Code and results from my thesis project: Jupyter notebooks aligned with Chapters 3-6. Read the thesis chapters for context before exploring.

GAP algorithms involving complements of 1-knots, spun knots and chain complexes of covering spaces.

Get the number of p-colourings invariant of a knot represented as a closure of a braid.

App to visualize and compute Rational Tangles.

This repository contains my bachelor's thesis on knot theory, with a focus on the Jones polynomial and its role in classifying knots. The research covers essential knot invariants and their applications in areas like DNA structure and quantum computing.

Copy of https://tieknots.how with a few tweaks

Generating knots and links with desired invariants. Thesis work for MS in mathematics from BYU, advisor Mark Hughes

A backup of Hoste & Thistlethwaite's knot software, as indexed on the Knot Atlas

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

This is the code we used to verify the chirally cosmetic surgery for positive 2-bridge knots up to 31 crossings. The paper associated to this code can be found at https://arxiv.org/abs/2308.10126.

The code involved with Caleb Musfeldt's undergraduate honors thesis.

My master's thesis in low-dimensional topology

GAP algorithms for the endowment of low-dimensional knotted manifold complements with regular CW-structure