Vladimir Baranovsky
Scott Russell Johnson Senior Research Fellow

Honors Diploma in Mathematics (M.S.), Moscow State University, 1995
Ph.D. in Mathematics, University of Chicago, 2000

Research Interests

Algebraic Geometry and Representation Theory

Publications

• (with V. Giznburg and A. Kuznetsov) Wilson's grassmanian and a noncommutative quadric, to appear in  Internat. Math Res. Notices
  
• (with V. Ginzburg and A. Kuznetsov) Quiver varieties and a noncommutative P^2, to appear in Compositio Mathematica
  
• (with S. Evens and V. Ginzburg) Representations of quantum tori and double-affine Hecke algebras,  in "Orbit Method in Geometry and Physics: AA Kirillov Festschrift", Progress in Mathematics, Birkhauser, 29-48.
  
• Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra,  Journal of Differential Geometry, 55  (2000) no. 2, 193-227.
• The Variety of Pairs of Commuting Nilpotent Matrices is Irreducible, Transformation Groups 6 (2001) no. 1, 3-8.
• (with V. Ginzburg) Conjugacy classes in loop groups and G-bundles on elliptic curves, Internat. Math. Res. Notices 1996, no. 15, 733-751
• The cohomology ring of the moduli space of stable bundles with odd determinant, Russ. Acad. Sci. Izv. Math. 45 (1995), no. 1, 207-213

Preprints/In Preparation

• Orbifold cohomology as periodic cyclic homology, preprint math.AG/0206256
  
• BGG correspondence for projective complete intersections, in preparation
  

Courses Taught

• Fall 2002-03: Ma 109a - Introduction to Geometry and Topology
• Spring 2002-03: Ma 7 - Number Theory for Beginners

• Winter 2001-02: Ma 191e - Quotients in Symplectic and Algebraic Geometry
• Winter 2001-02: Ma 5b - Introduction to Abstract Algebra
• Spring 2001-02: Ma 5c - Introduction to Abstract Algebra
  
• Winter 2000-01: Ma 191g - Atiyah-Singer Index Theorem
• Spring 2000-01: Ma 5c - Introduction to Abstract Algebra

Contact Information

Office: 360 Sloan
Phone: (626) 395-4357
Fax: (626) 585-1728
E-mail: baranovs@caltech.edu
Mailing address: Mathematics 253-37, Caltech, Pasadena, CA 91125

Click here to get a listing of V. Baranovsky's's papers from the AMS MathSciNet with links to Mathematical Reviews.
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