Studying at: Math Department, Columbia University
Office: 408 Mathematics
Email: zakharov@math.columbia.edu
Advisor: Igor Krichever

I am a fifth year graduate student working with Professor Igor Krichever. I am interested in various aspects of the theory of integrable systems, especially its relations to algebraic geometry and differential geometry.

Research:
  • Zakharov D.V., The Weierstrass representation of discrete isotropic surfaces in R^{2,1}, R^{3,1} and R^{2,2}, accepted to Funct. Anal. and Appl. [PDF]
  • Zakharov D.V., A discrete analogue of the modified Novikov-Veselov hierarchy, Inter. Math. Res. Not. 2010; doi: 10.1093/imrn/rnq014 [PDF]
  • Zakharov D.V., Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation, Theoret. and Math. Phys. 153 (2007), no. 1, 1388--1397 [PDF]
  • Curriculum Vitae

    Teaching:
    Spring 2009:
  • Undergraduate Seminar
    Fall 2009:
  • TA for Introduction to Modern Analysis II, by Igor Krichever
    Spring 2009:
  • Calculus II, section 003
    Fall 2008:
  • Calculus I, section 006
    Spring 2007:
  • TA for Calculus IV, section 003 by Igor Krichever
    Fall 2006:
  • Undergraduate seminar - Representation Theory of Finite Groups
  • Undergraduate seminar - Proofs from the Book