Scott Russell Johnson Senior Research Fellow

Honors Diploma in Mathematics (M.S.), Moscow State University, 1995

Ph.D. in Mathematics, University of Chicago, 2000

Algebraic Geometry and Representation Theory

- (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

- 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

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

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