Office: Bear Hall 230
Phone: (910) 962-2037
Fax: (910) 962-7107
Department of Mathematics and Statistics
University of North Carolina Wilmington
Wilmington, NC 28401
Office Hours: by appointment
MAT 531 Linear
MAT 161 Calculus
MAT 335 Linear
MAT 151 Basic Calculus with Applications
MAT 542 Modern
MAT 161 Calculus
MAT 541 Modern
MAT 161 Calculus
Previous Teaching: Abstract Algebra, Complex Variables with Applications, Linear Algebra, Applied Linear Algebra, Discrete Mathematics, Multivariate Calculus, Calculus I and II, Calculus for Business and Economics, Pre-Calculus, Basic Algebra, Graduate Independent Study (Representation Theory of Lie Algebras).
My interests lie in the representation theory of Lie algebras, quantum groups, and Hecke algebras and combinatorial representation theory. The foci of my research are crystal bases of nonintegrable representations of quantum groups, finite-dimensional representations of hyperalgebras associated to affine Kac-Moody algebras over arbitrary fields, and representations of affine Hecke algebras and of quantum affine algebras.
Tensor products, characters, and blocks of finite-dimensional representations of quantum affine algebras at roots of unity (with A. Moura), IMRN 2011, No. 18 (2011), 4147–4199.
of hyper loop algebras over non-algebraically closed fields
(with A. Moura), Algebras and Representation Theory 13 (2010), 271-301.
On multiplicity problems for finite-dimensional representations of hyper loop algebras (with A. Moura), Contemporary Math 483 (2009), 147-159.
Finite-dimensional representations of hyper loop algebras (with A. Moura), Pacific J. Math 233 (2007), 371-402.
On crystal bases and Enright's completions , J. Algebra 312 (2007), 111-131.
Branched crystals and the category O (with V. Chari and A. Moura), J. Algebra 294 (2005), 51-72.
Structure of T modules and restricted duals: the classical and the quantum case , Comm. Algebra 31(11) (2003), 5343-5354.
Recent and Upcoming Conferences
AMS Special Session on Geometric and Algebraic Aspects of Representation Theory, AMS Fall Southeastern Section Meeting, New Orleans, LA, October 13-14, 2012
Representations of Algebraic Groups and Related Structures,
AMS Spring Southeastern Section Meeting, Tampa, FL, March 10-11, 2012
Representation Theory XII, Inter-University Center of Postgraduate Studies, Dubrovnik, Croatia, June 19-26, 2011
AMS Special Session on Kac-Moody Algebras, Vertex (Operator) Algebras, and Applications, AMS Fall Southeastern Section Meeting, Richmond, VA, November 6-7, 2010
& Combinatorial Representation Theory, Pondicherry University,
2-3, 2010 conference
The International Congress of Mathematicians 2010, Hyderabad, India, August 19-27, 2010
Combinatorial Approaches to
Representation Theory, The Indian Institute of
Bangalore, India, August 12-16, 2010 poster
NSF/CBMS Regional Conference on Quiver Varieties and Crystal Bases for Quantum Affine Algebras, North Carolina State University, Raleigh, NC, May 25-29, 2010
AMS Special Session on Lie Algebras and Representation Theory, AMS Spring Eastern Section Meeting, Newark, NJ, May 22-23, 2010
Southeastern Lie Theory Workshop on Combinatorial Lie Theory and Applications, North Carolina State University, Raleigh, NC, October 9-11, 2009
Algebras, Representations and Applications (Lie and Jordan Algebras, their Representations and Applications IV), Federal University of Amazonas, Manaus, Brazil, July 6 - 10, 2009
AMS Special Session on Kac-Moody Algebras, Vertex Algebras, Quantum Groups, and Applications, AMS Spring Southeastern Section Meeting, Raleigh, NC, April 4-5, 2009
XX Escola de Algebra, IMPA, Rio de Janeiro, Brazil, August 11-15, 2008
XIII International Conference on Representations of Algebras and Related Topics (ICRA XIII), Boracéia, Brazil, August 4-8, 2008
Functional Analysis X -- Representation Theory, Inter-University Center of Postgraduate Studies, Dubrovnik, Croatia, June 29 - July 5, 2008
Workshop USP-UNICAMP on Representation Theory, Algebraic Geometry, and Mathematical Physics, Campinas, Brazil, June 11-12, 2008
AMS-SBM Joint International Meeting, IMPA, Rio de Janeiro, Brazil, June 4-7, 2008
Lie Theory Workshop, MSRI, Berkeley, March 10-14, 2008
AMS Special Session on Representation Theory and Nonassociative Algebras, Joint Mathematics Meetings, San Diego, January 6-9, 2008
Mathematische Arbeitstagung 2007, Max Planck Institute for Mathematics, Bonn, Germany, June 22-28, 2007
The 2006 Twente Conference on Lie Groups, University of Twente, Enschede, The Netherlands, December 13-15, 2006
Bonn: tea time at the Max Planck Institute with Pieter Moree and Gautam Chinta
Amsterdam: Queen's Day 2007 with Anke Völzmann-Scheiding
Brazil: December 2008