Dijana Jakelić

photo


Office: Bear Hall 211B
Phone: (91
0) 962-2037
Fax: (910) 962-7107

e-mail: jakelicd@uncw.edu

Mailing address:
Department of Mathematics and Statistic
s
University of North Carolina Wilmington

Wilmington, NC 28401



Teaching

Office Hours: MTW 4:00-4:50 pm and by appointment

Spring 2014

MAT 162-004 Calculus 2 WebAssign webpage
MAT 162-005 Calculus 2 WebAssign webpage
MAT 499 Honors Work in Mathematics

Fall 2013

MAT 161-004 Calculus 1 WebAssign webpage
MAT 161-005 Calculus 1 WebAssign webpage
MAT 499 Honors Work in Mathematics

Spring 2013

On Research Reassignment at MPIM and UniCamp

Fall 2012

MAT 335-001 Linear Algebra
MAT 335-002 Linear Algebra

Spring 2012

MAT 592 Advanced Topics in Mathematics – Representation Theory of Lie Algebras
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 – Lie Algebras and Quantum Groups
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.

 


Publications

Recent advances in representation theory, quantum groups, algebraic geometry, and related topics  (with P. Achar, K. Misra, M. Yakimov), Contemporary Math volume (2014), in print. 

On Weyl modules for quantum and hyper loop algebras (with A. Moura), Contemporary Math (2014), in print.

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 Conferences

Noncommutative rings and their applications, Université d'Artois, Lens, France, July 1-4, 2013

Representation Theory XIII, Inter-University Center of Postgraduate Studies, Dubrovnik, Croatia, June 21-27, 2013

AMS Special Session on Geometric and Algebraic Aspects of Representation Theory, AMS Fall Southeastern Section Meeting, New Orleans, LA, October 13-14, 2012 conference photo

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

 


mpi tea time

Bonn: tea time at the Max Planck Institute with Pieter Moree and Gautam Chinta

amsterdam trip

Amsterdam: Queen's Day 2007 with Anke Völzmann

brazil trip

Brazil: December 2008