Ivan Mirkovic

Professor Emeritus

Emeritus Faculty
UMass collegiate M maroon on gray
Contact
Email
Email
Personal Webpage
Location
LGRT 1680

Education

Ph.D. University of Utah, 1986

M.S. University of Zagreb, 1981

B.S. University of Zagreb, 1977

RESEARCH INTERESTS

Representation theory, algebraic geometry

Geometric Representation Theory, Quantum Field Theory, Number Theory, Algebraic Geometry

Selected Publications

  • Linear Koszul duality. Compos. Math. 146 (2010), no. 1, 233ñ258. with S.Riche
  • Localization of modules for a semisimple Lie algebra in prime characteristic. With an appendix by Bezrukavnikov and Simon Riche. Ann. of Math. (2) 167 (2008), no. 3, 945ñ991. with R. Bezrukavnikov, D. Rumynin.
  • Geometric Langlands duality and representations of algebraic groups over commutative rings. Ann. of Math. (2) 166 (2007), no. 1, 95ñ143. with K. Vilonen
  • Singular localization and intertwining functors for reductive Lie algebras in prime characteristic. Nagoya Math. J. 184 (2006) (Lusztig issue). with R. Bezrukavnikov, D. Rumynin.
  • Equivariant homology and K-theory of affine Grassmannians and Toda lattices. Compos. Math. 141 (2005), no. 3, with R. Bezrukavnikov; M. Finkelberg
  • Character sheaves on reductive Lie algebras. Mosc. Math. J. 4 (2004), no. 4, 897ñ910, 981.
  • Tilting exercises. Mosc. Math. J. 4 (2004), no. 3, 547ñ557, 782. with Beilinson, A.; Bezrukavnikov, R.
  • Some results about geometric Whittaker model. Adv. Math. 186 (2004), no. 1, 143ñ152. with Bezrukavnikov, Roman; Braverman, Alexander.
  • On quiver varieties and affine Grassmannians of type A. C. R. Math. Acad. Sci. Paris 336 (2003), no. 3, 207ñ212, with Vybornov, Maxim
  • Intersection cohomology of Drinfeld's compactifications. Selecta Math. (N.S.) 8 (2002), no. 3, 381ñ418. with Braverman, A.; Finkelberg, M.; Gaitsgory, D.
  • Semi-infinite flags. II. Local and global intersection cohomology of quasimaps' spaces. Differential topology, infinite-dimensional Lie algebras, and applications, 113ñ148, Amer. Math. Soc. Transl. Ser. 2, 194, Amer. Math. Soc., Providence, RI, 1999. with Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander
  • Semi-infinite flags. I. Case of global curve boldP1. Differential topology, infinite-dimensional Lie algebras, and applications, 81ñ112, Amer. Math. Soc. Transl. Ser. 2, 194, Amer. Math. Soc., Providence, RI, 1999. with Finkelberg, Michael
  • Centers of reduced enveloping algebras. Math. Z. 231 (1999), no. 1, 123ñ132. with Rumynin, Dmitriy
  • A note on a symplectic structure on the space of G-monopoles. Comm. Math. Phys. 201 (1999), no. 2, 411ñ421. with Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita
  • Evens, SamCharacteristic cycles for the loop Grassmannian and nilpotent orbits. Duke Math. J. 97 (1999), no. 1, 109ñ126. with Evens, Sam
  • The singular supports of IC sheaves on spaces of quasimaps are irreducible. Topics in quantum groups and finite-type invariants, 85ñ93, Amer. Math. Soc. Transl. Ser. 2, 185, Amer. Math. Soc., Providence, RI, 1998, with Finkelberg, M.; Kuznetsov, A.
  • Fourier transform and the Iwahori-Matsumoto involution. Duke Math. J. 86 (1997), no. 3, 435ñ464, with Evens, Sam
  • Matsuki correspondence for sheaves. Invent. Math. 109 (1992), no. 2, 231ñ245. with Uzawa, T.; Vilonen, K.
  • Characteristic varieties of character sheaves. Invent. Math. 93 (1988), no. 2, 405ñ418. with Vilonen, K.
  • CLASSIFICATION OF IRREDUCIBLE TEMPERED REPRESENTATIONS OF SEMISIMPLE GROUPS. Thesis (Ph.D.)ñThe University of Utah. 1986. 86 pp,