I am currently a fifth year graduate student in the math department at NC State working with Kailash Misra. My research interests are in affine Lie algebras and their representations. Specifically, I have worked on finding the maximal dominant weights of certain highest weight modules of affine Lie algebras. I am now working on determining the multiplicities of some of those maximal dominant weights.
Recent Talks:
1. Some Maximal Dominant Weights and their Multiplicities for Affine Lie Algebra Representations, Joint Mathematics Meetings in Baltimore, MD, January 17, 2019.
2. An Introduction to Finite and Affine Lie Algebras and their Representation Theory, Mathematics and Computer Science Department Colloquium at the College of the Holy Cross in Worcester, MA, December 3, 2018.
3. Some Maximal Dominant Weights and their Multiplicities for Affine Lie
Algebra Representations, AMS Fall Eastern Sectional Meeting at University of Delaware, September 29, 2018.
4. Maximal Dominant Weights for Affine Lie Algebra Representations, Interactions of quantum affine algebras with cluster algebras, current algebras and categorification at the Catholic University of America, June 5, 2018.
5. Maximal Dominant Weights for Representations of Affine Lie Algebras, AWM Triangle Conference at UNC Chapel Hill, February 17, 2018.
6. Maximal Dominant Weights for Representations of Affine Lie Algebras, TAGMaC at NCSU, November 11, 2017.