Welcome to my web site
My name is Alexey Zaytsev, I am working with the International Skolkovo Gymnasium as a head of department of mathematics.
Academic positions

1998  2001
Lecturer
Baltic State Academy 
2001  2003
Lecturer
Baltic State Academy 
2003  2008
Phd student under supervision by Prof. Gerard van der Geer
University of Amsterdam 
2008  2011
Postdoctoral position research host Prof. Gary McGuire
University College Dublin and Claude Shannon Institute 
2011  2017
Head of laboratory "mathematical methods in information theory"
Immanuel Kant Baltic Federal University 
2017 
Head of department of mathematics
International Gymnasium in Skolkovo 
2017 
Leading research scientist
SkolTech
My Research Interests
Algebraic Geometry (with emphasis on function fields, algebraic curves over finite fields), Abelian Varieties over Finite fields, Elliptic Curves, Number Theory, Coding Theory and Cryptography, Groups Schemes, Deformation Theory of Abelian Varieties, the Zeta Functions of Towers of Function Fields
Degree

1998
Master Degree in Mathematics
Kaliningrad State University (Russian Federation) 
2008
Ph. Degree
Universiteit van Amsterdam (the Netherlands)
Fellowships and Honors
 19992000 Leonhard Euler Scholarship program (as most promissing young reseacher)
 2002 Certificate from Russian Academy of Sciences for high level of supervision of young scientists
 20032007 Research grant from Netherlands Organization for Scientific (N.W.O.)
 2008 2011 Postdoctoral fellowship at University College Dublin
 Short Term Travel Fellowship, 07/RFP/MATF846 STTF09 from Science Foundation of Ireland
 Grant for creating a master program in mathematics in Kant Baltic Federal University
Publications

1998
Nonabelian Kummer extenstions
proceedings of Kaliningrad State University 
2001
Generators of Galois closure of a sequence of curves attaining the DrinfeldVladut bound
journal "Differential geometry of manifolds of figures" (Kaliningrad State University, 2001) (joint work with S. Aleshnikov) 
2002
Coding theory and Galois closure of optimal tower
proceedings of Baltic State Academy, Kalinigrad 
2002
"The Galois closure of tower of function fields that attains the DrinfeldVladut bound" А. Зайцев; A. Zaitsev
Доклады международного математического семинара к 140летию со дня рождения Давида Гильберта из Кенигсберга и 25летию математического факультета. Калининград, 2002.С.223227 (Proceedings of International mathematical seminar dedicating to David Hilbert and the 25th anniversary of the faculty of mathematics of KSU) 
2003
Some results on Galois closure
Collection of scientific works of XXV conference of young scientists (MechMat, Moscow State University, 2003) 
2005
Galois closure of the GarciaStichtenoth tower
журнал "Finite Fields and Their Applications", 2007, volume 13, pp.751761 (появилась в arxiv в 2005 году, http://arxiv.org/abs/math/0504431)  Optimal curves of low genus over finite fields

2008
Optimality properties of curves over finite fields
диссертация (Pdh thesis) pdf 
2010
Оптимальные кривые рода 3 над конечными полями с дискриминантом 19
Прикладная и Дискретная Математика, Томский государственный университет, SIBECRYPT'10 (в соатворстве с Е.С. Алексеенко и С.И. Алешников) 
2011
Optimal Curves of Genus 3 over Finite Fields with Discriminant 19
journal "Finite Fields and Their Applications", 2011, volume 17, pp.350358, (joint work with K. Alekseenko, S. Aleshnikon and N. Markin) 
2010
On the Zeta Functions of an optimal tower of function fields over $\\F_4$
Finite fields: theory and applications, pp. 327338, Contemp. Math., 518, Amer. Math. Soc., Providence, RI, 2010, (joint work with G. McGuire) 
2012
The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2
(joint work with G. McGuire) "Finite Fields and Their Applications", Volume 18, Issue 5, September 2012, pages 886893 
2014
Classification of characteristic polynomials of simple supersingular abelian varieties over finite fields
Functiones et Approximatio, Volume 51, Number 2 (2014), 415436. (joint work with V.Singh and G. McGuire) 
2013
Generalization of Deuring Reduction Theorem
(http://arxiv.org/abs/1209.5207) Volume 392, 15 October 2013, Pages 97114 "Journal of Algebra" 
2014
An improvement of the HasseWeilSerre bound for curves over some finite fields
"Finite Fields and Their Applications", Volume 30 November 2014, Pages 8899 
2015
Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters
"Algorithmic Arithmetic, Geometry, and Coding Theory: 14th International Conference on Arithmetic, Geometry, and Coding Theory", 2015, CIRM, Marseille, France, Pages 319325 (joint work with Ekaterina Alekseenko) 
2016
Optimal curves of low genus over finite fields
"Finite Fields and Their Applications" Volume 37, January 2016, Pages 203224 
2018
Computing algorithm for reduction type of CM abelian varieties
https://arxiv.org/abs/1809.10368
Teaching Experience

1999  2000
Instructor of a course "Calculus"
Baltic State Academy 
2000  2001
Instructor of courses "Calculus" and "Probability theory"
Baltic State Academy 
2001  2002
Instructor of courses "Calculus" and "Probability theory".
Baltic State Academy 
2002  2003
Lecturer and Instructor of a course "Introduction to the theory of Elliptic Curves"
Kaliningrad State University 
2002  2003
Lecturer of a course "Discrete Mathematics"
Baltic State Academy 
2005  2006
Instructor of a course "Algebra II"
University van Amsterdam 
2008  2009
Seminar: Elliptic curves and Cryptography
Claude Shannon Institute 
2009  2010
Lecturer and Instructor of a course "Vector Spaces and Coding".
University College Dublin 
2010  2011
Seminar: "An elementary proof of the HasseWeil bound"
Claude Shannon Institute 
2011  2012
Seminar "Arithmetic geometry, Cryptoraphy and Coding Theory"
Immanuel Kant Baltic Federal University 
2011  2012
a course "Equations over finite fields"
Higher School of Economics Faculty of Mathematics 
2011  2012
a course "Group Schemes"
Independent University of Moscow 
2011  2012
Lecturer and Instructor of a course "Probability theory and mathematical statistics"
Immanuel Kant Baltic Federal University 
2012  2013
Lecturer and Instructor of a course " Methods and Algorithms of generation hyperelliptic curves in cryptography"
Immanuel Kant Baltic Federal University
Conferences and Workshops
 March 25129, 2009 ESF Workshop on Codes, Cryptography and Coding Theory Institut de Mathématiques de Luminy
 30th March  3rd April, 2009 AGCT12 CIRM Luminy, Marseille,
 September 2224 The 12th Workshop on Elliptic Curve Cryptography Utrecht, the Netherlands
 May 2009 The Claude Shannon Institute Workshop on Coding and Cryptography Cork
 July 2009 Fq9 International Conference on Finite Fields and their Applications Dublin, Ireland
 May 2010 The Claude Shannon Institute Workshop on Coding and Cryptography Cork
 June 2010 Conference "Zeta Functions" Laboratoire CNRS J.V. Poncelet and Independent University of Moscow
 September, 2010 Geometry and Arithmetic Schiermonnikoog
 November, 2010 RISC/Intercity number theory seminar on Crypto, Coding and Geometry
 May, 2011 The Irish Geometry Conference
 May, 2011 The Claude Shannon Workshop on Coding and Cryptography, Cork
 October, 2011 Global Fields Laboratoire CNRS J.V. Poncelet and Independent University of Moscow
 April, 2012 Arithmetic Days Laboratory of Algebraic Geometry and its Applications , Mathematical Department of the National University Higher School of Economics and Laboratoire CNRS J.V. Poncelet, Moscow
 November, 2012 "Zeta functions" the 4th conference of zeta functions Laboratory of Algebraic Geometry and its Applications, Mathematical Department of the National University Higher School of Economics and Laboratoire CNRS J.V. Poncelet, Moscow
 May, 2013 Conference "Diophantine Geometry" University of Paris 7, Laboratoire Poncelet, Institute for Information Transmission Problems, State University Higher School of Economics, Moscow, Russia,
 May, 2013 Arithmetic days 2013 St.Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia
 June, 2013 Arithmetic, Geometry, Coding Theory and Cryptography 14 Marseille, Luminy, France
 November 1115, 2013 Algebraic curves over finite fields
 June 2014 Algebraic Geometry and Number Theory on the occasion of M.A. Tsfasman's and S.G. Vladuts' 60th birthday, Independent University of Moscow, Laboratoire Poncelet, Moscow, Russia
 December 15, 2014 Zeta functions 5 Independent University of Moscow, Laboratoire Poncelet, Moscow, Russia
Recent Talks

October 2008
Curves with many rational points
UCD, Algebra seminar 
May, 2009
Explicit equations of optimal curves genus 3
CSI Workshop on Coding and Cryptography 
July 2009
On the Zeta Functions of an optimal tower of function fields over $\F_4$
Fq9 
2010
The Galois closure of a tower of function fields
UCD, Algebra Seminar 
June 2010
The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2"
Conference "Zeta Functions", Moscow 
January 2011
Curves over finite fields with many rational points, existence and constructions
Nanyang Technological University, Singapore 
April, 2011
Reduction of abelian varieties with complex multiplication and its first truncated BarsottiTate group schemes
UCD, Dublin 
2011
Curves over finite fields with many rational points, existence and constructions"
video conference with Telecom ParisTech, April 
May, 2011
Reduction of abelian varieties with complex multiplication and its first truncated BarsottiTate group schemes
The Irish Geometry Conference, Galway 
June, 2011
Zeta functions and Towers of Function Fields over Finite Fields
HSE, Faculty of Mathematics 
June, 2011
Introduction into the theory of Abelian varieties
Kant BFU, Faculty of Mathematics 
October, 2011
Abelian varieties with complex multiplication and their first truncated BarsottiTate group schemes
IMU 
April, 2012
Towers of function fields over finite fields and their sequences of zetafunctions
IMU 
June 2012
Existence and constructions of curves over finite fields with many rational points
Institute of Mathematics Szczecin University 
June 2012
Abelian varieties with complex multicplication and their first truncated BarsottiTate group schemes
Institute of Mathematics Szczecin University 
November 2012
Generalization of Deuring reduction theorem"

April 2013
Generalization of Deuring Reduction Theorem
Adam Mickiewicz University in Poznan (Poland) 
Май, 2013
Canonical coordinates on the canonical lift via Dieudonne modules
conference "Diophantine Geometry", Москва, Россия 
May, 2013
Generalization of Deuring Reduction Theorem
conference "Arithmetic days 2013", St.Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia 
November, 2013
Zeta functions of towers of function fields
workshop2 "Algebraic curves over finite fields", Austria, Linz, RICAM 
December, 2014
Coefficients of Zeta functions of the second GarciaStichtenoth tower as polynomial functions
conference "Zeta functions 5", Moscow, Russia 
April, 2017
The degree of exetension of the Galois closure of a tower of function felds and Chebotarev density theorem
Conference \"Algebra and number theory in Kaliningrad\", Kaliningrad 
March 2018
01Math.com online project as a basis for mathematical studies in middle school and modern digital environment
Seminar for teachers in MCCME, Moscow 
September 2018
Graphs and Zeta functions of optimal towers of function fields over finite fields
Sixteenth International Workshop on Algebraic and Combinatorial Coding Theory, Kaliningrad, Svetlogorsk
Conferences organizer

June, 37, 2013
AGCT14
Luminy, Marseille, France (together with Stéphane Ballet and Marc Perret) 
September, 17, 2013
ITaS
Kaliningrad, Russia (BFU Local Organizing Committee)
Reviewer
Referees

Claude Shannon Institute University College Dublin School of Mathematical Sciences
email: gary.mcguire AT ucd.ie

Kortewegde Vries Instituut Universiteit van Amsterdam
email: geer at science.uva.nl

Institut de Mathematiques de Luminy Independent University of Moscow
email: tsfasman AT iml.univmrs.fr

Sabanci University  FENS
email: henning AT sabanciuniv.edu

Grigory Kabatyansky
Skolkovo Institute of Science and Technology
email: G.Kabatyansky AT skoltech.ru