James Beyer

James Beyer

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Mathematics


I recently completed my PhD in mathematics at the University of Oklahoma, working under the direction of Greg Muller. My research is focused on cluster algebras, a type of commutative ring with connections to many different areas of mathematics and physics. In my research, I often consider connections to skein algebras, knot theory, decorated Teichmüller spaces, and higher Teichmüller spaces, while using tools from commutative algebra, algebraic geometry, representation theory, and combinatorics.

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Papers

Preprints

In Preparation


PhD Dissertation


Recreation


Old Stuff

For my MS, I wrote a survey paper on the curve complex. My advisor was Leah Childers.