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.
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