**Alexander Goncharov**
*
I am interested in several areas of Mathematics and Mathematical Physics: *

Arithmetic Algebraic Geometry: polylogarithms, L-functions,
mixed motives, motivic Galois groups, periods, Hodge theory,
and other topics.

Representation theory.

Quantum higher Teichmuller theory.

Quantum Field Theory, e.g. Scattering Amplitudes.

Mirror Symmetry.

Integral Geometry and Tomography.

### How to reach me

Department of Mathematics

10 Hillhouse ave

P.O. Box 208283

Yale Univeristy

New Haven, CT 06520

USA
- E-mail:
alexander.goncharov@yale(DOT)edu

- Phone:
(203) 432-4192 (office)

- Fax: (203) 432-7316

- Office: 212A LOM

In Okayama (Japan) in 2005

### Teaching

Fall 2013 I taught Algebraic Number Theory course, Math 373.
(pdf)

### Selected talks

### Publications not available in the arXive

** Geometry of configurations, polylogarithms and motivic cohomology.
**

Preprint MPIM (Bonn) 1991. Published in Advances Math. (1995).
(pdf )
** Polylogarithms and motivic Galois groups.
**

Proc. Symp Pure Math vol 55 N 2 (pdf )
** Explicit constructions of characteristic classes.
**

Preprint MPIM (Bonn) 1992
(pdf ).

Advances in
Soviet Mathematics, 16, Volume 1, (dedicated to I.M.Gelfand
80th birthday), 169 - 210, 1993: (pdf )
** Mixed elliptic motives.
**

London Math Soc. Lecture Note Series, Volume 254, 147 - 221, 1998:
(pdf )
** The double logarithms and Manin's complex for modular curves
**

Mathematical Research Letters, 4, 617-636 (1997)
(pdf )
**Chow polylogarithms and regulators.
**

Mathematical Research Letters, 2 (1995), no. 1, 95–112.
(pdf )
** Integral geometry and differential equations.
**

Mathematical Research Letters, 1995, vol 2, N 2, 415-435.
(pdf )
**Differential equations and integral geometry.
**

Advances in
Math., vol. 131, N2, (1997).
(pdf )
**The classical polylogarithms, algebraic K-theory and zeta-values.
**

Published in The Gelfand mathematical seminars, 1990-1992.

L.Corwin, I.Gelfand, J.Lepowsky editirs, Bitkhauser1993, p. 113-161.
(pdf )
**The classical trilogarithm, algebraic K-theory of fields, and Dedekind zeta functions.
**

BAMS Vol 24, N1, 1991.
(pdf )

### Selected Publications in Tomography

** Vainstein B.K., Goncharov A.B.:
Determination of the spatial orientation of arbitrarily arranged
identical particles of unknown structure from their projections.
**

Doklady Acad. Nauk SSSR, 1986, vol 287, 1131-1134 (April 1986).
English translation: Soviet Physics, Doklady 31(4) April 1986, 278-280.
(pdf )
** Goncharov A.B.: Methods of integral geometry and
finding the relative orientation of identical particles arbitrarily
arranged in a plane from their projections onto a straight line.
**

Doklady Acad. Nauk SSSR, 1987, vol 293, 355-358, (March 1987).
English translation: Soviet Physics, Doklady 32(3) March 1987, 177-178.
(pdf )