Nathan Williams is an Assistant Professor of Mathematical Sciences. His research focus is in the field of algebraic combinatorics, with a major interest in combinatorial problems related to reflection groups or their associated Artin groups. His research includes:
- Algebraic Combinatorics Arising Within Reflection Groups
- Geometric Group Theory
- Representation Theory
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Independence Posets (International Press of Boston, Inc, 2019-05-23)Let G be an acyclic directed graph. For each vertex g is an element of G, we define an involution on the independent sets of G. We call these involutions flips, and use them to define a new partial order on independent ...