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Tsao-Hsien Chen, K. Vilonen, T. Xue. Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties. Mathematical Research Letters, 27, 1281-1323, 2020. doi: 10.4310/MRL.2020.v27.n5.a2.
J Taskinen, K. Vilonen. Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base. The Journal of Geometric Analysis, 577-615, 2018. doi: 10.1007/s12220-018-0012-8.
TH Chen, K. Vilonen, T. Xue. Springer correspondence for the split symmetric pair in type A. Compositio Mathematica, 154, 2403-2425, 2018. doi: 10.1112/S0010437X18007443.
I Mirkovic, K. Vilonen. Erratum: Geometric Langlands duality and representations of algebraic groups over commutative rings [Annals of Mathematics, 188, 3, (2018) (1017-1018)] Doi: 10.4007/annals.2007.166.95. Annals of Mathematics, 188, 1017-1018, 2018. doi: 10.4007/annals.2018.188.3.6.
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Tsao-Hsien Chen, K. Vilonen, T. Xue, Dennis Stanton. On the cohomology of Fano varieties and the Springer correspondence. Advances in Mathematics, 318, 515-533, 2017. doi: 10.1016/j.aim.2017.08.008.
K. Vilonen, T. Xue. The null-cone and cohomology of vector bundles on flag varieties. Representation Theory, 20, 482-498, 2016. doi: 10.1090/ert/491.
W Schmid, K. Vilonen. Hodge theory and unitary representations. 312, 443-453, Springer International Publishing, 2015. doi: 10.1007/978-3-319-23443-4_16.
Masaki Kashiwara, K. Vilonen. Microdifferential systems and the codimension-three conjecture. Annals of Mathematics, 180, 573-620, 2014. doi: 10.4007/annals.2014.180.2.4.
K. Vilonen, Geordie Williamson. Characteristic cycles and decomposition numbers. Mathematical Research Letters, 20, 359-366, 2013. doi: 10.4310/MRL.2013.v20.n2.a11.
K. Vilonen, W Schmid. Hodge Theory and Unitary Representations of Reductive Lie Groups. 397-420, International Press of Boston, 2011.
Masaki Kashiwara, K. Vilonen. On the codimension-three conjecture. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 86, 154-158, 2010. doi: 10.3792/pjaa.86.154.
I Mirkovic, K. Vilonen. Geometric Langlands duality and representations of algebraic groups over commutative rings. Annals of Mathematics, 166, 95-143, 2007. doi: 10.4007/annals.2007.166.95.
M Emerton, D Nadler, K. Vilonen. A geometric Jacquet functor. Duke Mathematical Journal, 125, 267-278, 2004. doi: 10.1215/S0012-7094-04-12523-0.
E Frenkel, D Gaitsgory, K. Vilonen. On the geometric langlands conjecture. Journal of the American Mathematical Society, 15, 367-417, 2002. doi: 10.1090/S0894-0347-01-00388-5.
E Frenkel, D Gaitsgory, K. Vilonen. Whittaker patterns in the geometry of moduli spaces of bundles on curves. The Annals of Mathematics, 153, 699-748, 2001. doi: 10.2307/2661366.
I Mirkovic, K. Vilonen. Perverse sheaves on affine grassmannians and langlands duality. Mathematical Research Letters, 7, 13-24, 2000. doi: 10.4310/MRL.2000.v7.n1.a2.
W Schmid, K. Vilonen. Characteristic cycles and wave front cycles of representations of reductive Lie groups. The Annals of Mathematics, 151, 1071-1118, 2000. doi: 10.2307/121129.
K. Vilonen. Geometric methods in representation theory. 241-290, American Mathematical Society, 2000.
W Schmid, K. Vilonen. On the geometry of nilpotent orbits. Asian Journal of Mathematics, 3, 233-274, 1999. doi: 10.4310/AJM.1999.v3.n1.a10.
W Schmid, K. Vilonen. Two geometric character formulas for reductive Lie groups. Journal of the American Mathematical Society, 11, 799-867, 1998. doi: 10.1090/S0894-0347-98-00275-6.
E Frenkel, D Gaitsgory, D Kazhdan, K. Vilonen. Geometric realization of Whittaker functions and the Langlands conjecture. Journal of the American Mathematical Society, 11, 451-484, 1998. doi: 10.1090/S0894-0347-98-00260-4.
W Schmid, K. Vilonen. Characteristic cycles of constructible sheaves. Inventiones Mathematicae, 124, 451-502, 1996. doi: 10.1007/s002220050060.
S Gelfand, R MacPherson, K. Vilonen. Perverse sheaves and quivers. Duke Mathematical Journal, 83, 621-643, 1996. doi: 10.1215/S0012-7094-96-08319-2.
W SCHMID, K. Vilonen. Characters, characteristic cycles, and nilpotent orbits. GEOMETRY, TOPOLOGY & PHYSICS, 4, 329-340, 1995.
K. Vilonen. PERVERSE SHEAVES AND FINITE-DIMENSIONAL ALGEBRAS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 341, 665-676, 1994. doi: 10.2307/2154577.
W SCHMID, K. Vilonen. WEYL GROUP-ACTIONS ON LAGRANGIAN CYCLES AND ROSSMANNS FORMULA. NONCOMPACT LIE GROUPS AND SOME OF THEIR APPLICATIONS, 429, 243-250, 1994.
K. Vilonen. Perverse sheaves and finite-dimensional algebras. Transactions of the American Mathematical Society, 341, 665-676, 1994. doi: 10.1090/S0002-9947-1994-1135104-3.
I Mirković, T Uzawa, K. Vilonen. Matsuki correspondence for sheaves. Inventiones Mathematicae, 109, 231-245, 1992. doi: 10.1007/BF01232026.
R MACPHERSON, K. Vilonen. Perverse sheaves with singularities along the curvey n =x m. Commentarii Mathematici Helvetici, 63, 89-102, 1988. doi: 10.1007/BF02566754.
I Mirković, K. Vilonen. Characteristic varieties of character sheaves. Inventiones Mathematicae, 93, 405-418, 1988. doi: 10.1007/BF01394339.
R MIROLLO, K. Vilonen. BERNSTEIN-GELFAND-GELFAND RECIPROCITY ON PERVERSE SHEAVES. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 20, 311-324, 1987.
R MACPHERSON, K. Vilonen. Elementary construction of perverse sheaves. Inventiones Mathematicae, 84, 403-435, 1986. doi: 10.1007/BF01388812.
K. Vilonen. Intersection homologyD-module on local complete intersections with isolated singularities. Inventiones Mathematicae, 81, 107-114, 1985. doi: 10.1007/BF01388774.
R MACPHERSON, K. Vilonen. ELEMENTARY CONSTRUCTION OF PERVERSE SHEAVES. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 299, 443-446, 1984.