Research

My research interests lie at the intersection of noncommutative algebra and combinatorics.  I study a class of finitely-generated algebras associated to directed graphs.  For more information, feel free to check out my research statement.  Or take a look at my recent work:

• Möbius Polynomials of Face Posets of Convex Polytopes (with Meena Jagadeesan), accepted for publication in Communications in Algebra
• Möbius Polynomials and Splitting Algebras of Direct Products of Posets, available on ArXiv
• Universal Labeling Algebras As Invariants of Layered Graphs, Advances in Applied Mathematics, June 2014
• My Dissertation

I am also interested in the Scholarship of Teaching and Learning.  Here is a paper I recently submitted together with Scott Kaschner at Butler University.

• Logical Misconceptions on True-False Assessments in Early Undergraduate Mathematics  (with Scott Kaschner), submitted for publication