Characteristic cycles of constructible sheaves, W. Schmid and K. Vilonen, Inventiones Math. 124 (1996), 451-502.
Geometric realization of Whittaker Functions and the Langlands Conjecture, E. Frenkel, D.Gaitsgory, D. Kazhdan, and K. Vilonen, Journal of AMS, 11 (1998), no. 2, 451-484.
Two geometric character formulas for reductive Lie groups, W. Schmid and K. Vilonen, Journal of AMS, 11 (1998), no. 2, 799-876.
Topological methods in representation theory, K. Vilonen, Documenta Mathematica, Extra Volume for ICM 1998 (1998), vol II, 595-604.
On the
geometry of
nilpotent orbits, W. Schmid and K. Vilonen,
Asian J. Math., vol 8, no 1, 233-274, (1999), a special volume in honor
of Michael Atiyah. Reprinted in: Surveys in differential
geometry, 565 - 623, Surv. Differ. Geom., VII, Int. Press,
Somerville, MA, 2000.
Geometric methods in representation theory, K. Vilonen, Representation theory of Lie groups (J. Adams and D. Vogan, eds.), IAS/Park City Mathematics Series, vol 8, AMS, 2000, pp 241 - 290. [PS file 1,4MB]. The dvi version without pictures [ dvi ].
Perverse Sheaves on Affine Grassmannians and Langlands Duality, I. Mirkovic and K. Vilonen, Mathematical Research Letters 7 (2000), 13 - 24.
Characteristic cycles and wave front cycles of representations of reductive groups, W. Schmid and K. Vilonen, Annals of Math. 151 (2000), 1071 - 1118.
Whittaker patterns in the geometry of moduli spaces of curves, E. Frenkel, D.Gaitsgory, and K. Vilonen, Annals of Math. 153 (2001), 699 - 748.
On
the geometric Langlands conjecture, E. Frenkel, D.Gaitsgory, and
K. Vilonen, Journal of Amer. Math. Soc., 15 (2002), no 2, 364 - 417.
A
geometric Jacquet functor, M. Emerton, D.Nadler, and K. Vilonen,
Duke Math. J. 125 (2004), no. 2, 267–278, and also available at math.RT/0311339.
Geometric
Langlands duality and representations of algebraic groups over
commutative rings, I. Mirkovic and K. Vilonen, preprint, to appear
in Annals of Mathematics.
Microlocal
Perverse Sheaves, S. Gelfand, R. MacPherson, and K. Vilonen,
preprint.
*My research has been partially supported by DARPA and the NSF.