Nicholas J. Williams studies representation theory for finite-dimensional associative algebras and its connections to combinatorics. His research connects partially ordered sets and triangulations of convex polytopes with the structure of finite-dimensional algebras, including quivers and homological algebra. This interaction allows combinatorial order and geometric decomposition to encode relationships between algebraic objects.[ref]
https://nchlswllms.github.io/. Author homepage, research statement and publications on representation theory, higher orders and polytope triangulations
Identity source: nchlswllms.github.io/
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