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

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

Cluster varieties and Representation theory.

Geometry, Quantum higher Teichmuller theory, Quantum Field Theory.

Integral Geometry and Tomography.

### How to reach me

- Department of Mathematics, Yale University,

P.O. Box 208283;
10 Hillhouse ave, New Haven CT 06520
USA
- E-mail:
alexander.goncharov@yale(DOT)edu

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

- Office: 212A LOM

In Okayama (Japan) in 2005

### Selected talks

## Publications not available in the arXive:

### A) Selected publications on zeta-functions, mixed motives, and motivic Galois groups:

** The classical trilogarithm, algebraic K-theory of fields, and dedekind zeta functions.
**

BAMS Vol 24, N1, 1991
(pdf)
** 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 )
** The classical polylogarithms, algewbraioc K-theory and zeta-values.
**

The Gelfand mathematical seminars, 1990-1992.
L.Corwin, I.Gelfand, J.Lepowsky edotirs, Birkhauser 1993, 113-161.
(pdf)
** The double logarithm and Manin's complexes 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 )
** Mixed elliptic motives.
**

London Math Soc. Lecture Note Series, Volume 254, 147-221, 1998.
(pdf)

### B) Selected Publications in Geometry and Integral Geometry:

**
Infinitesimal structures related to Hermitian symmetric spaces.
**

Functional Analysis and its applications, 15, 1981, N3, p 83-84.
(pdf )

** Constructions of Weil representations of some simple Lie algebras.
**

Functional Analysis and its applications, 16, 1982, N2, p 70-71.
(pdf)
** Generalized Conformal structures on manifolds
**

Selecta Mathematica Soveitica 6, (1987) N4, 307-340.
(pdf)

(Russian version: In "Problems in group theory and homological algebra" Yaroslavl Gos. Univ., 1983).
** Integral Geometry on families of k-dimensional submanifolds.
**

Functional Analysis and its applications, 1988, vol 23, N3, p. 11-23. (pdf )

** Integral Geometry and manifolds of minimal degree in CP^n.
**

Functional Analysis and its applications, 1989, vol 24, N1, p. 5-20. (pdf )

**
Integral Geometry on families of surfaces in the space.
**

Journal of Geometry and Physics, 1988, vol 4, N5, p. 571-593. (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 )
### C) 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 )
** Goncharov A.B.: Integral geometry and three dimensional reconstruction of randomly oriented identical particles from their electron micrographs.
**

Acta Applicanda Mathematicae, 1988, 11, p.199-211. (pdf )
** Goncharov A.B.: Methods of integral geometry and recovering a function with compact support from its projections in unknown directions.
**

Acta Applicanda Mathematicae, 1988, 11, p.213-222. (pdf )