Lie algebras, quantum affine algebras, quantum group, representation theory. I am one of organizers of the "Lie Theory" seminar.

1. Extension of a theorem of Kostant for affine algebras. Journal of Algebra 199 (1998), no. 1, 290--301. (MR 99b:17031)
2. Characters of bounded $\widehat{\mathfrak{sl}(2)}$ modules. Journal of Algebra 230 (2000), no. 2, 540–557. (MR 2001m:17033)
3. (with A. Joseph) A Chevalley-Kostant presentation of basic modules for $\widehat{\mathfrak{sl}(2)}$ and the associated affine KPRV determinants at $q=1$. Bulletin des Sciences mathématiques 125 (2001), no. 2, 85–108. (MR 2002c:17006)
4. (with V. Chari) Quantum loop modules. Representation Theory 7, 56–80. (MR 2004b:17044)
5. Characters of simple bounded modules over an untwisted affine Lie algebra. Algebras and Representation theory 6 (2003), no. 2, 119–137 (MR 2004c:17052)
6. Littelmann's path crystal and combinatorics of certain integrable $\widehat{\mathfrak{sl}_{\ell+1}}$-modules of level zero. Journal of Algebra 269 (2003), no. 1, 347–372 (MR 2004j:17033)
7. (with P. Lamprou) Path model for quantum loop modules of fundamental type. International Mathematics Research Notices 2004 (2004), no. 14, 675–711 (MR 2004m:17033
8. (with V. Chari) Filtrations and completions of certain positive level modules of affine algebras. Advances in Mathematics 194 (2005), no. 2, 296–331 (MR 2006e:17018)
9. (with V. Chari) An application of free Lie algebras to polynomial current algebras and their representation theory. Contemporary Mathematics 392 (2005), 15–31 (MR 2007b:17037)
10. (with V. Chari) Current algebras, highest weight categories and quivers, Advances in Mathematics 216 (2007), no. 2, 811–840 (MR 2009d:17009)
11. (with V. Chari) Graded level zero integrable representations of affine Lie algebras, Transactions of the American Mathematical Society 360 (2008), no. 6, 2923–2940 (MR 2009d:17033)
12. (with V. Chari) A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras, Advances in Mathematics 220 (2009), no. 4, 1193–1221 (MR 2010h:16067)
13. Quivers with relations arising from Koszul algebras of $\mathfrak g$-invariants, Journal of Algebra 322 (2009), no. 12, 4430–4478 (MR 2558871)
14. (with V. Chari) Minimal affinizations as projective objects, Journal of Geometry and Physics 61 (2011), no. 3, 594–609
15. (with A. Berenstein) Quantum folding, International Mathematics Research Notices 2011 (2011), no. 21, 4821–4883
16. (with M. Bennett, V. Chari and N. Manning) On homomorphisms between global Weyl modules, Representation theory 15 (2011), 733–752

In the Winter quarter of the academic year 2010/11 I teach MATH 009A (First year calculus, Part A) and MATH201B (graduate algebra, Part B). All course information is available to registered students on iLearn

	Mathematical Sciences Research Institute
	American Mathematical Society		European Mathematical Society
	MathSciNet (mirrors in Houston, TX, Bielefeld, Germany and Strasbourg, France)
	Journal of Algebra		Journals published by Elsevier Science
	Journals published by Springer Verlag		arXiv.org e-Print archive
	Mathematics Information Servers		Mathematics Journals
	The World Wide Web Consortium		Google search engine

How to contact me