釦喝梯梗娶措勳莽棗娶莽:泭
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Working thesis:
Demystifying the Mystery Braid.
Braids are found all across the world in various forms. The inherent symmetry of braid makes for an appealing pattern that is used across painting, baking, manufacturing etc. Braids in the subject of mathematics are found in a field closely related with that of Knots and Links. The focus of this thesis, a Mystery Braid泭is a craft object often seen in leatherwork. It is created by making incisions in a rectangular strip of leather to make the strands of a braid, while making sure to leave both ends of the strands intact. Despite the ends being intact, one can still manipulate the strands into a braided pattern.泭
We aim to use the foundation laid by Artin in his seminal works in the field of braid theory, where he defines the braid group where the crossings of two strands form the generators of said group. By building upon the works of Artin and many others in the field, we can form a mathematical description of mystery braids, allowing us to answer questions like "how does one make a mystery braid?" and "can all braids be formed in this manner?". We approach the problem with a craftwork oriented perspective, focusing on understanding the limitations of the physical object and how to manipulate it to get the desired results, inspired by the techniques seen in leatherworking.泭
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Research interests:
Group theory, Knot theory, Applied mathematics
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Academic history:
2021-2023, Bachelor of Arts in Mathematics, 厙ぴ勛圖, NZ
2024-Now, Master of Mathematical Sciences in Mathematics, 厙ぴ勛圖, NZ
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