Dijana Jakelic
Office: Bear Hall 215
Phone: (910) 962-2037
Fax: (910) 962-7107
e-mail: jakelicd@uncw.edu
Mailing address:
Department of Mathematics and Statistics
University of North Carolina Wilmington
Wilmington, NC 28401
Teaching
Spring 2010
MAT 542 Modern
Algebra II
syllabus
UNCW
Blackboard Vista
MAT 161 Calculus
syllabus
UNCW
Blackboard Vista
Office Hours: MW
3:30-4:30
T
2:30-4:30
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).
Research
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.
Papers:
Tensor
products, characters, and blocks of finite-dimensional representations
of quantum affine algebras at roots of unity (with
A. Moura), arXiv:0909.2198[math.QA].
Finite-dimensional
representations
of hyper loop algebras over non-algebraically closed fields
(with A. Moura), Algebras and Representation Theory (2010),
arXiv:0711.0795[math.RT].
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
The
International Congress of Mathematicians 2010, Hyderabad,
India, August
19-27, 2010
Algebraic and
Combinatorial Approaches to Representation Theory,
The Indian Institute of Sciences, Bangalore, India, August 12-16, 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
AMS Special Session on Kac-Moody Algebras,
Vertex Algebras, Quantum
Groups, and Applications, AMS Spring Southeastern Section
Meeting,
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
Mathematische Arbeitstagung 2007,
Max Planck Institute for Mathematics, Bonn,
The 2006 Twente Conference on Lie
Groups,
|
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 |
