Interests: My research is in Algebra. More specifically, I am interested in Lie Algebra Representation Theory, Kac-Moody Algebras, Crystal Bases, Representations of Quantum Affine Algebras.
Publication: My advisor and I recently wrote a paper, "On Demazure Crystals for U_{q} (G_{2}^{(1)})," that has been accepted for publication in Proceedings of the AMS. A preprint is available here.
Talks:
- The AMS special session on "Kac-Moody Algebras, Vertex (Operator) Algebras, and Applications" at the AMS sectional meeting in Richmond, VA in November 2010.
- The AMS special session on "Lie Algebras, Algebraic Groups, and Related Structures" at the Joint Mathematics Meetings in New Orleans, LA in January 2011.
- McDaniel College seminar in Westminster, MD in February 2011.
Professional Development:
As a graduate student, I've been lucky enough to get funding to attend several workshops, summer schools, and conferences.
Summer Schools and Workshops
- Lie Theory and Representation Theory Summer School, University of Georgia, Athens, Georgia, May 10-21, 2010.
- Lie Theory Workshop on Combinatorial Lie Theory and Applications, North Carolina State University, Raleigh, NC, October 9-11, 2009.
- International Workshop on Quantized Algebra and Physics, Chern Institute of Mathematics, Tianjin, China, July 23-26, 2009.
- International Workshop on Algebraic Groups, Quantum Groups and Related Topics, Peking University, Beijing, China, July 18-22, 2009.
- Summer School in Geometric Representation Theory and Affine Lie Algebras, University of Ottawa, Ottawa, Ontario, Canada, June 15-27, 2009.
Conferences
- NSF/CBMS Conference on Deformation Theory of Algebras and Modules, North Carolina State University, Raleigh, NC, May 16-20, 2011. (Assisted in organization)
- Joint Mathematics Meetings, New Orleans Louisiana, January 6-9, 2011.
- AMS Southestern Section Meeting, Richmond, VA, November 6-7, 2010.
- Algebraic and Combinatorial Approaches to Representation Theory, Indian Institute of Science, Bangalore, India, August 12-16, 2010.
- NSF/CBMS Regional Conference on Quiver Varieties and Quantum Affine Algebras, North Carolina State University, Raleigh, North Carolina, May 25-29, 2010
- Southeastern Lie Theory Conference on Homological Methods in Representation Theory, University of Georgia, Athens, Georgia, May 22-24, 2010.
- AMS Southeastern Section Meeting, North Carolina State University, Raleigh, NC, April 4-5, 2009.
- Vertex Operator Algebras and Related Areas, Illinois State University, Normal, IL, July 7-11, 2008.