Dijana
Jakelic
Office: Bear
Hall 230
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
Office Hours: by appointment
Spring 2012
MAT 335 Linear Algebra
Fall 2011
MAT 531 Linear
Algebra
MAT 161 Calculus
Spring 2011
MAT 335 Linear
Algebra
MAT 151 Basic
Calculus with Applications
Fall 2010
MAT
592
Advanced
Topics
in
Mathematics – Representation Theory of Lie Algebras
MAT 335 Linear Algebra
Spring 2010
MAT 542 Modern
Algebra II
MAT 161 Calculus
Fall 2009
MAT 541 Modern
Algebra I
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).
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.
Published Papers:
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.
Finite-dimensional
representations
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
AMS
Special
Session
on
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
International
Conference
on
Non-Commutative
Rings
& Combinatorial Representation Theory, Pondicherry University,
India, September
2-3, 2010 conference
photo
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 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 |
