Alexander Goncharov In Okayama (Japan) in 2005

Teaching


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

Selected talks

Polylogarithms in arithmetic and geometry. International Congress of Mathematicians, Zurich, 1994

Multiple zeta-values, Galois groups and geometry of modular varieties. European Congress of Mathematicians, Barcelona, 2000

Galois groups, geometry of modular varieties, and graphs. Arbeitstagung, Bonn 1999

Hidden Hodge symmetries and Hodge correlators. Arbeitstagung, Bonn 2011

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 )