Publications and Preprints:

  1. An update on semi-simple quantum cohomology and F-manifolds (with Yu. Manin and C. Hertling)
  2. Structure of 2D semi-simple Field theories
  3. Branching of Hitchin's Prym cover for SL(2)
  4. Loop Groups and twisted K-theory I (with D. Freed and M Hopkins)
  5. Consistent Orientations of Moduli Spaces (with D. Freed and M Hopkins)
  6. The Newstead-Ramanan conjecture on Chern classes (with C. Woodward)
  7. The strong Macdonald conjecture and Hodge theory on the Loop Grassmannian
    (with S. Fishel and I. Grojnowski) To appear in Ann. of Math.
  8. Loop groups and twisted K-theory II (with D. Freed and M. Hopkins)
  9. Self-extensions of Verma modules and differential forms on Opers (with E. Frenkel) Compositio Math.
  10. The Index formula on the moduli of G-bundles (with C. Woodward) To appear in Ann. of Math.
  11. Loop Groups and twisted K-theory III (with D. Freed and M. Hopkins).
  12. K-theory of the moduli of principal bundles on a surface and deformations of the Verlinde algebra.
    Topology, Geometry and Quantum Field Theory: Proceedings of the 2002 Oxford Symposium
    in Honour of the 60th Birthday of Graeme Segal. (U.L. Tillmann, Ed.)
  13. Twisted equivariant K-theory with complex coefficients (with D. Freed and M. Hopkins). J. Top. 1 (2008)
  14. Parabolic bundles, products of conjugacy classes and Gromov-Witten invariants (with C. Woodward). Ann. Inst. Fourier (Grenoble) 53 (2003) 
  15. Some Hodge theory from Lie algebras. Motives, polylogarithms and Hodge theory, Part II (Irvine, CA, 1998), 731­744, Int. Press Lect. Ser. 3
  16. The quantization conjecture revisited. Ann. of Math. (2) 152 (2000), 1­43
  17. Borel-Weil-Bott theory for loop groups (Short survey of # 17,18,19).
  18. Borel-Weil-Bott Theory on the moduli of G-bundles over a curve. Invent. Math. 134 (1998), 1–57
  19. Verlinde factorization and Lie algebra cohomology. Invent. Math. 126 (1996), 249–263
  20. Lie algebra Cohomology and the Fusion Rules. Comm. Math. Phys. 173 (1995), 265–311
  21. Limiting tangent spaces and a criterion for µ-constancy (w. D. O'Shea) Stratifications, singularities and
    differential equations, II (Marseille, 1990; Honolulu, HI, 1990),     79-85, Travaux en Cours, 55, Hermann, Paris, 1997