01
Using Fibonacci Numbers and Chebyshev Polynomials to Express Fox Coloring Groups and Alexander-Burau-Fox Modules of Diagrams of Wheel Graphs
Computation of Fox Group and Alexander Module for wheel graph diagrams.
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Papers, talks & projects
My work moves through knot theory, diagram algebras, graph theory, and mathematical music. Each entry gathers the paper, slides, video, code, or presentation materials in one place.
02
Fibonacci Music & Sonification
A music-and-mathematics experiment translating Fibonacci structure into sound.
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Poster: Gram Determinants of Type Mb
A poster presentation on Type Mb Gram determinants and Temperley-Lieb representations.
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Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial
Homology of Yang-Baxter operators associated with the HOMFLYPT polynomial.
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On the Secure Domination of Mycielskian Graphs
Secure domination in the Mycielskian construction for graphs.
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Chebyshev Polynomials and Gram Determinants from the Möbius Band
Chebyshev factorizations and Gram determinants arising from the Möbius band.
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Fundamentals of Cubic Skein Modules
Foundational constructions and relations in cubic skein modules.
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In Search of Homology for Quasigroups of Bol-Moufang Type
A homology theory for quasigroups satisfying Bol-Moufang type identities.
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Psyquandle Coloring Quivers
Quiver enhancements of psyquandle counting invariants for singular knots and pseudoknots.
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