My interests lie broadly in the fields of combinatorics and representation theory. Specifically, I am interested in studying the combinatorics of crystal graphs, which arise from representation theory and can often be viewed as posets.

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Papers and preprints: 

1. Relations in doubly laced crystal graphs via discrete Morse theory, to appear in Journal of Combinatorics.

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Recent Talks:​

1. Special session on algebraic and geometric combinatorics, AMS Fall Central Sectional Meeting, University of Wisconsin-Madison. September 14-15, 2019.

2. Special session on representations of Lie algebras, algebraic groups, and quantum groups. AMS Spring Southeastern Sectional, Auburn University. March 15-17, 2019. (slides).

3. MAA contributed paper session, Joint Mathematics Meeting, Baltimore, MD, January 16-19, 2019 (slides).

4. Representation Theory, Combinatorics and Geometry, University of Virginia, Charlottesville VA. October 19-21, 2018. (slides).

5. Relations among crystal operators and the Mobius function of a crystal poset, QAA at Catholic University, June 5, 2018.

6. Relations among crystal operators and the Mobius function, TAGMaC at UNC, April 28, 2018.

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