Mathematics · Teaching · Research
Anthony Christiana
PhD candidate in mathematics
George Washington University · PhD expected May 2027
My research focuses on knot theory, diagrammatic algebras, and related algebraic structures. I’ve taught university mathematics courses, worked with students through GW’s Upward Bound program, and tutored undergraduate mathematics.

University teaching
Instructor of record in calculus and Mathematics and PoliticsOutreach
TRIO Upward Bound math instructor · Summers 2023–2025Recognition
Graduate Student Teaching Award · 2026Selected
Teaching & research
01Teaching & Outreach
Knots & Invariants
An introduction to the mathematical study of knots and the invariants used to distinguish them.
02Teaching & OutreachMusic Theory Mod n
A tour of sonification, modular arithmetic, aleatoric music, and related ideas.
03ResearchLow Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial
Homology of Yang-Baxter operators associated with the HOMFLYPT polynomial.
Notebook