Research Proposal

These are the topics that I am working over or I am planning to work over.

  • An Asymptotic Zeta Function of Towers of Function Fields,
  • Canonical Coordinates and Canonical Theta Structure on quasi-Ordinary Abelian Varieties,
  • Stratification of Ordinary Locus of Moduli Space of Abelian Varieties,
  • Applications of the Deformation Theory in Cryptography,
  • Explicit Algebraic Coding Theory,
  • the Hasse-Witt invariants of Drinfeld modular curves over finte fields.

MathOverFlow

My profile in the MathOverFlow http://mathoverflow.net/users/4856/alexey-zaytsev

Achievements of students under my supervision

  • Sergey Smirnov, the second prise at the IX Moscow open conference in Moscow Power Engineering Institute (Technical University), 2000
  • Anton Voloshin, a diploma and special prise from Microsoft at the X Moscow open conference in Moscow Power Engineering Institute (Technical University), 2001
  • Aleksander Teslenko, a diploma at the IX Russian conference “Youth and Science-Looking into the Third Millennium” ( the Bauman Moscow State Technical University), 2002
  • Alexey Salnikov, a diploma at XII Annual “Sakharov’s Readings” — The High School Conference in Saint-Petersburg, Russia, 2002
  • Michial Zaytsev, Aleksander Magaev, Tanay Kochanovskay, diaplomas of a participant
  • a mentor adviser of Vijaykumar Singh, thesis “Classification of Isogeny classes of Supersingular Abelian Varieties over Finite Fields”

on-line arxiv of mathematical (and others) papers http://www.arxiv.org