and Gautam Chinta
Office: SEO 610
Phone: (312) 996-6168
Fax: (312) 996-1491
e-mail: dijana@math.uic.edu
Spring 2008
MATH 310 (Applied Linear
Algebra): MWF 9:00A-9:50A, MWF 11:00A-11:50A
MATH 596 (Independent Study): Representation Theory of Lie Algebras
Office Hours: M 5:10PM-6:00PM, WF 12:10PM-1:00PM
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.
Algebra Seminar (co-organizing with Dave Radford)
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 and finite-dimensional representations of hyperalgebras associated to affine Kac-Moody algebras over arbitrary fields. I have also been working on representations of affine Hecke algebras and quantum affine algebras.
Papers: Structure of T modules and restricted duals: the classical and the quantum case , Comm. Algebra 31(11) (2003), 5343-5354.Branched crystals and the category O (with V. Chari and A. Moura), J. Algebra 294 (2005), 51-72.
On crystal bases and Enright's completions , J. Algebra 312 (2007), 111-131.
Finite-dimensional representations of hyper loop algebras (with A. Moura), Pacific J. Math 233 (2007), 371-402.
Finite-dimensional representations of hyper loop algebras over non-algebraically closed fields (with A. Moura), to be published in Algebras and Representation Theory, arXiv:0711.0795[math.RT].
On multiplicity problems for finite-dimensional representations of hyper loop algebras (with A. Moura), to be published in Contemporary Math, arXiv:0802.3413[math.RT].
Affine quantum Weyl reciprocity for cohomology (with B. Parshall and A. Phillips), in preparation.
On finite-dimensional representations of quantum affine algebras at roots of unity (with A. Moura), in preparation.
Geometric construction of Verma type modules (with V. Futorny, M. Jardim, and A. Moura), in preparation.
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