William Erickson

Dr. William Erickson is a Postdoctoral Research Fellow in the Department of Mathematics at Baylor University, affiliated with the College of Arts & Sciences. He holds a Ph.D. from the University of Wisconsin-Milwaukee (2022) and a B.A. from the University of Notre Dame (2010). Before pursuing his doctorate, he taught middle/high-school mathematics and Latin for eight years, while also managing a local pool as a lifeguard and swim instructor. His research focuses on the representation theory of Lie groups from a combinatorial perspective, invariant theory, and algebraic statistics, with notable contributions to combinatorial algebra and geometric probability.

Educations:

• Ph.D., Mathematics, University of Wisconsin-Milwaukee, 2022 (Advisor: Jeb Willenbring)
• B.A., Mathematics, University of Notre Dame, 2010

Research Interests:

Dr. Erickson explores the intersection of algebra, combinatorics, and geometry, with a focus on Lie groups and their representations. His work often employs combinatorial tools to study invariant rings, Young tableaux, and algebraic statistics. Recent projects include analyzing the earth mover’s distance in probabilistic contexts and developing new methods for reconstructing Young tableaux via minors.

Publications Trends:

His articles span combinatorial algebra, representation theory, and applied statistics. Notable topics include Demazure products, palindromicity in generating functions, and geometric interpretations of statistical metrics. His work frequently bridges pure and applied mathematics, with applications ranging from optimization to geometric analysis.

Scientific Awards & Grants:

No awards or grants explicitly listed in the provided text.

Advising & Teams:

No formal advisees or lab teams explicitly mentioned. His collaborative work includes co-authors like Rebecca Bourn, Jan Kretschmann, and Markus Hunziker.