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research interests

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My primary research interests are in the interplay between combinatorics and algebraic structures. More specifically, I study the combinatorics of Coxeter groups and their associated Hecke algebras, Kazhdan--Lusztig theory, generalized Temperley--Lieb algebras, diagram algebras, and heaps of pieces. By employing combinatorial tools such as diagram algebras and heaps of pieces, one can gain insight into algebraic structures associated to Coxeter groups, and, conversely, the corresponding structure theory can often lead to surprising combinatorial results.

Furthermore, I am very passionate about mathematics education. Recently, I have become interested in inquiry-based learning and the Moore method for teaching mathematics. This educational paradigm has transformed my teaching.

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