Office: Osprey Hall 2016C

Phone: (910) 962-7658

Fax: (910) 962-7107

e-mail: jakelicd@uncw.edu

Mailing
address:

Department of Mathematics and
Statistics

University
of North Carolina Wilmington

Wilmington,
NC
28403

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 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

*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**

*Representation
Theory and Applications to Differential Equations*,
University of the West Indies, Kingston, Jamaica,
January 8-20, 2017

*AMS
Special Session on Representations of Lie Algebras,
Quantum Groups and Related Topics*, AMS
Fall Southeastern Section Meeting, Raleigh, NC, November
12-13, 2016

*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
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 |
Brazil: December 2008 |