Associate Professor,
Mathematics
Faculty Co-adviser for the Math Club
Office phone: (716) 375-2474
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My research interests lie in three areas.
- Metric dimension of graphs: Joint work is a preprint on the metric dimension of a direct product of three complete graphs. The approach is constructive and
first characterizes resolving sets in terms of forbidden subgraphs of an auxiliary edge-colored hypergraph. Current work involves expanding the results to a larger family of graphs.
- Schur-Weyl duality: Joint work funded through an NSF AIM SQuaRE grant, produced a preprint on Schur-Weyl duality for classical toroidal algebras. Current work involves working on a Schur-Weyl duality for classical affine cyclotomic Lie algebras. Ultimate
goal is a Schur-Weyl duality for quantum twisted toroidal Lie algebras.
- Noncommutative algebras: Joint work produced a preprint on Automorphisms of Quantum Polynomial Rings and Drinfeld Hecke Algebras. Current work involves looking at Drinfeld Hecke algebras for symmetric groups on skew polynomial rings.