A remark on universal connections
Math. Ann. 260, 453-462 (1982). [pdf]
A G-minimal model for principal G-bundles
Annales de L'Institut Fourier, Grenoble 32, 205-219 (1982). [pdf]
Geometry of Schubert cells and cohomology of Kac-Moody Lie algebras
J. Diff. Geometry 20, 389-431 (1984). [pdf]
Rational homotopy theory of flag varieties associated to Kac-Moody groups
In: "Infinite dimensional groups with applications" (ed. by V. Kac). MSRI (Springer-Verlag) publications Vol. 4, 233-273 (1985). [pdf]
Cohomology algebra of Schubert varieties associated to Kac-Moody groups
In: "Proceedings of the 1984 Vancouver Conference in Algebraic Geometry" (ed. by J. Carrell et. al.). CMS Conference Proceedings Vol. 6, 277-299 (1986). [pdf]
A generalization of the Conner conjecture and topology of Stein spaces dominated by C^n
Topology 25, 483-493 (1986). [pdf]
The nil Hecke ring and cohomology of G/P for a Kac-Moody group G (with B. Kostant)
Proc. Natl. Acad. Sci. USA 83, 1543-1545 (1986). [pdf]
A homology vanishing theorem for Kac-Moody algebras with coefficients in the category O
J. Algebra 102, 444-462 (1986). [pdf]
Non-representability of cohomology classes by bi-invariant forms (Gauge and Kac-Moody groups)
Commu. Math. Physics 106, 177-181 (1986). [pdf]
The nil Hecke ring and cohomology of G/P for a Kac-Moody group G (with B. Kostant)
Advances in Math. 62, 187-237 (1986). [pdf]
T-equivariant K-theory of generalized flag varieties (with B. Kostant)
Proc. Natl. Acad. Sci. USA 84, 4351-4354 (1987). [pdf]
Extension of the category O^g and a vanishing theorem for the Ext functor for Kac-Moody algebras
J. Algebra 108, 472-491 (1987). [pdf]
Demazure character formula in arbitrary Kac-Moody setting
Invent. Math. 89, 395-423 (1987). [pdf]
Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture
Invent. Math. 93, 117-130 (1988). [pdf]
Existence of certain components in the tensor product of two integrable highest weight modules for Kac-Moody algebras
In: "Infinite dimensional Lie algebras and groups" (ed. by V.G. Kac). Advanced series in Mathematical Physics Vol. 7, World Scientific, 25-38 (1989). [pdf]
A refinement of the PRV conjecture
Invent. Math. 97, 305-311 (1989). [pdf]
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras
Math. Annalen 286, 709-729 (1990). [pdf]
A new geometric invariant associated to the space of flat connections (with K. Guruprasad)
Compositio Math. 73, 199-222 (1990). [pdf]
T-equivariant K-theory of generalized flag varieties (with B. Kostant)
J. Diff. Geometry 32, 549-603 (1990). [pdf]
Proof of Wahl's conjecture on surjectivity of the Gaussian map for flag varieties
In: " Algebraic groups" (ed. by S. Ramanan). Proceedings of the Hyderabad conference. Manoj Prakashan, 275-278 (1991). [pdf]
A geometric realization of minimal \frak k-type of Harish-Chandra modules for complex s.s. groups (with B. Kostant)
In: "Kazhdan-Lusztig theory and related topics" (ed. by V. Deodhar). Contemporary Mathematics vol. 139 published by AMS, 249-264 (1992). [pdf]
Proof of Wahl's conjecture on surjectivity of the Gaussian map for flag varieties
American J. of Math. 114, 1201-1220 (1992). [pdf]
Cohomology of quantum groups at roots of unity (with V. Ginzburg)
Duke Math. J. 69, 179-198 (1993). [pdf]
Finiteness of local fundamental groups for quotients of affine varieties under reductive groups
Comment. Math. Helvetici, 68, 209-215 (1993). [pdf]
Equivariant cohomology with generalized coefficients (with M. Vergne)
Ast\'erisque 215, 109-204 (1993). [pdf]
Toward proof of Lusztig's conjecture concerning negative level representations of affine Lie algebras
J. Algebra 164, 515-527 (1994). [pdf]
Symmetric and exterior powers of homogeneous vector bundles
Math. Annalen 299, 293-298 (1994). [pdf]
Representations of quantum groups at roots of unity
In: "Quantum topology" (ed. by D.N. Yetter). World Scientific, Singapore, 187-224 (1994). [pdf]
Infinite Grassmannians and moduli spaces of G-bundles (with M. S. Narasimhan and A. Ramanathan)
Math. Annalen 300, 41-75 (1994). [pdf]
The nil Hecke ring and singularity of Schubert varieties
In: "Lie theory and geometry (in honor of B. Kostant)" (ed. by J.-L. Brylinski et. al.). Progress in Math. vol. 123, Birkhauser, 497-507 (1994). [pdf]
The nil Hecke ring and singularity of Schubert varieties
Inventiones Math. 123, 471-506 (1996). [pdf]
Shapovalov determinant for restricted and quantized restricted enveloping algebras (with G. Letzter)
Pacific J. of Math. 179, 123-161 (1997). [pdf]
Infinite Grassmannians and moduli spaces of G-bundles
In: "Vector Bundles on Curves- New Directions," (ed. by M.S. Narasimhan). Springer Lecture Notes in Math. vol. 1649, 1-49 (1997). [pdf]
Picard group of the moduli spaces of G-bundles (with M.S. Narasimhan)
Math. Annalen 308, 155-173 (1997). [pdf]
Fusion product of positive level representations and Lie algebra homology
In: "Geometry and physics" (ed. by J.E. Andersen et. al.). Lecture Notes in Pure and Applied Mathematics vol. 184, Marcel Dekker, Inc., 253-259 (1997). [pdf]
Positivity of the cup product in cohomology of flag varieties associated to Kac-Moody groups (with M.V. Nori)
Inter. Math. Res. Not. 14, 757-763 (1998). [pdf]
Frobenius splitting of cotangent bundles of flag varieties (with N. Lauritzen and J. Thomsen)
Inventiones Math. 136, 603--621 (1999). [pdf]
Homology of certain truncated Lie algebras
In: "Recent Developments in Quantum Affine Algebras and Related Topics," (ed. by K.C. Misra et. al.). Contemporary Mathematics vol. 248, 309--325 (1999), published by AMS. [pdf]
Frobenius splitting in characteristic zero and the quantum Frobenius map (with P. Littelmann)
J. of Pure and applied Algebra 152, 201--216 (2000). [pdf]
Frobenius splitting of Hilbert schemes of points on surfaces (with J.F. Thomsen)
Math. Annalen 319, 797--808 (2001). [pdf]
Algebraization of Frobenius splitting via quantum groups (with P. Littelmann)
Annals of Mathematics 155, 491--551 (2002). [pdf]
A conjectural generalization of the n! result to arbitrary groups (with J.F. Thomsen)
Transformation Groups 8, 69--94 (2003). [pdf]
Equivariant analogue of Grothendieck's theorem for vector bundles on \Bbb P^1
In: "Perspectives in Geometry and Representation Theory (A tribute to C.S. Seshadri)," Hindustan Book Agency, 500--501 (2003). [pdf]
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type (with B. Leeb and J. Millson)
Contemporary Mathematics vol. 332, published by AMS, 171--195 (2003). [pdf]
A new realization of the cohomology of Springer fibers (with J.F. Thomsen)
In: "Proceedings of the International Conference on Algebraic Groups and Arithmetic" (Volume dedicated to M.S. Raghunathan on his sixtieth birthday), Narosa Publishing House, 119--125 (2004). [pdf]
Induction functor in noncommutative equivariant cohomology and Dirac cohomology
J. Algebra 291, 187--207 (2005). [pdf]
Explicit determination of the Picard group of moduli spaces of semi-stable G-bundles on curves (with A. Boysal)
Math. Annalen 332, 823--842 (2005). [pdf]
Extensions of algebraic groups (with K-H. Neeb)
In:"Studies in Lie Theory" (Volume dedicated to A. Joseph on his sixtieth birthday), Progress in Mathematics vol. 243, Birkhauser, 365--376 (2006). [pdf]
Eigenvalue problem and a new product in cohomology of flag varieties (with P. Belkale)
Inventiones Math. (2006). [pdf]
On Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras
In: J. of Am. Math. Soc., (2008). [pdf]
Saturation and irredundancy for Spin(8) (with M. Kapovich and J. Millson)
Preprint (September 2005), 23 pages (to appear in Pure and Applied Math. Quarterly). [pdf]
Descent of line bundles to GIT quotients of flag varieties by maximal torus
Preprint (February 2007), 19 pages (to appear in Transformation Groups). [pdf]
Special isogenies and tensor product multiplicities (with J. Stembridge)
In: "International Mathematics Research Notices". (2007). [pdf]
Eigencone, saturation and Horn problems for symplectic and odd othogonal groups (with P. Belkale)
Preprint (July 2007), 46 pages. [pdf]
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups (with G. Lusztig and D. Prasad)
Preprint (September 2007), 3 pages. (To appear in Lhasa Conference Proceedings). [pdf]
On positivity in T-equivariant K-theory of flag varieties (with W. Graham)
Preprint (September 2007), 34 pages. [pdf]
A conjectural presentation of fusion algebras (with A. Boysal)
Preprint (February 2008), 12 pages. [pdf]