The Directory of Research and Researchers at Brown: Alexander Goncharov

Arithmetic algebraic geometry, geometry and integral geometry, representation theory.

Arithmetic algebraic geometry: mixed motives, motivic Galois groups, motivic cohomology, special values of L-functions of algebraic varieties, regulators, polylogarithms and their generalizations, motivic fundamental groups, geometry of modular varieties, Feynman integrals.

Geometry: higher Teichmuller theory and its quantization, quantum dilogarithm, quantum groups.
D-module approach to integral geometry.

Overview | Research | Grants/Awards | Teaching | Publications

I was educated at Moscow, participated at the seminars of Gelfand, Manin, Beilinson and others.

From 1990 I work at USA, first at MIT, and from 1996 at Brown.

My research interests are arithmetic algebraic geometry, representation theory and integral geometry, and recently Teichmuller theory.

Download Alexander Goncharov's Curriculum Vitae in PDF Format

ALEXANDER GONCHAROV, Ph. D 1987 (USSR)
Professor
Mathematics
Phone: +1 401 863 1131
Phone 2: +1 401 831 7449
E-mail: Alexander_Goncharov@brown.edu

Alexander Goncharov's Brown Research URL:
http://research.brown.edu/myresearch/Alexander_Goncharov

On The Web:
http://www.math.brown.edu/faculty/goncharov.html

Collaborators at other institutions:
P. Deligne (IAS, Princeton)
Yu. I. Manin (MPI, Bonn),
A.A. Beilinson (U. Chicago),
V.V. Fock (ITEP, Moscow)
A.Levin (Moscow)
H. Gangl (Durham)
A.A. Varchenko (UNC Chapel Hill)

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Research at Brown: The Directory of Research and Researchers: Research Profile