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 at Baltic State Academy

2001 → 2003
Lecturer at Baltic State Academy

2003 → 2008
Phd student at University of Amsterdam under supervision by Prof. Gerard van der Geer

2003 → 2008
Phd student at University of Amsterdam under supervision by Prof. Gerard van der Geer

2008 → 2011
Postdoctoral position at University College Dublin and Claude Shannon Institute, research host Prof. Gary McGuire

2011 → 2017
Head of laboratory "mathematical methods in information theory" at Kant Baltic Federal University

2017 →
Head of department of mathematics at 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
 Master Degree in Mathematics, 1998, Kaliningrad State University (Russian Federation)
 Ph. Degree, 2008, Universiteit van Amsterdam (the Netherlands)
Fellowships and Honors
 Leonhard Euler Scholarship program(as most promissing young reseacher), 19992000
 Certificate from Russian Academy of Sciences for high level of supervision of young scientists, 2002
 Research grant from Netherlands Organization for Scientific (N.W.O.), 20032007
 Postdoctoral fellowship at University College Dublin, 2008 2011,
 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
 "Nonabelian Kummer extenstions", proceedings of Kaliningrad State University, 1998
 "Generators of Galois closure of a sequence of curves attaining the DrinfeldVl\u{a}du\c{t} bound", journal ''Differential geometry of manifolds of figures'' (Kaliningrad State University, 2001) (joint work with S. Aleshnikov)
 "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)  "Some results on Galois closure", Collection of scientific works of XXV conference of young scientists (MechMat, Moscow State University, 2003)
 "Galois closure of the GarciaStichtenoth tower", journal ''Finite Fields and Their Applications'', 2007, volume 13, pp.751761 (appeared in arxiv in 2005, http://arxiv.org/abs/math/0504431)
 "Optimal curves of low genus over finite fields",
 "Optimality properties of curves over finite fields", Pdh thesis pdf , 2008
 "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)
 "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)
 "On the Zeta Functions of an optimal tower of function fields over $\mathbb{F}_4$", Finite fields: theory and applications, pp. 327 – 338, Contemp. Math., 518, Amer. Math. Soc., Providence, RI, 2010,(joint work with G. McGuire)
 "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 886–893
 "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)
 "Generalization of Deuring Reduction Theorem", (http://arxiv.org/abs/1209.5207) Volume 392, 15 October 2013, Pages 97–114 "Journal of Algebra"
 "An improvement of the HasseWeilSerre bound for curves over some finite fields", "Finite Fields and Their Applications", Volume 30, November 2014, Pages 88–99
 "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)
 "Optimal curves of low genus over finite fields", "Finite Fields and Their Applications" Volume 37, January 2016, Pages 203–224
Teaching Experience

1999 → 2000
Baltic State Academy: Instructor of a course "Calculus".

2000 → 2001
Baltic State Academy: Instructor of courses "Calculus" and "Probability theory".

2001 → 2002
Baltic State Academy: Instructor of courses "Calculus" and "Probability theory".

2002 → 2003
Kaliningrad State University: Lecturer and Instructor of a course "Introduction to the theory of Elliptic Curves".

2002 → 2003
Baltic State Academy: Lecturer of a course "Discrete Mathematics".

2005 → 2006
University van Amsterdam: Instructor of a course "Algebra II"

2008 → 2009
Claude Shannon Institute: Seminar: Elliptic curves and Cryptography.

2009 → 2010
University College Dublin: Lecturer and Instructor of a course "Vector Spaces and Coding".

2010 → 2011
Claude Shannon Institute: Seminar: "An elementary proof of the HasseWeil bound".

2011 → 2012
Kant Baltic Federal University: Seminar "Arithmetic geometry, Cryptoraphy and Coding Theory".

2011 → 2012
Kant Baltic Federal University: Lecturer and Instructor of a course "Probability theory and mathematical statistics".

2011 → 2012
Higher School of Economics (Faculty of Mathematics): a course "Equations over finite fields".

2011 → 2012
Independent University of Moscow: a course "Group Schemes".

2012 → 2013
Kant Baltic Federal University: Lecturer and Instructor of a course " Methods and Algorithms of generation hyperelliptic curves in cryptography"
Conferences and Workshops for last 4 years
 ESF Workshop on Codes, Cryptography and Coding Theory, Institut de Mathématiques de Luminy, March 25  29, 2009
 AGCT12 , CIRM Luminy, Marseille, 30th March  3rd April, 2009
 The 12th Workshop on Elliptic Curve Cryptography , September 2224, Utrecht, the Netherlands
 The Claude Shannon Institute Workshop on Coding and Cryptography , Cork, May 2009
 Fq9 International Conference on Finite Fields and their Applications, Dublin, Ireland, July 2009
 The Claude Shannon Institute Workshop on Coding and Cryptography , Cork, May 2010
 Conference "Zeta Functions" , Laboratoire CNRS J.V. Poncelet and Independent University of Moscow,June 2010
 Geometry and Arithmetic, Schiermonnikoog, September, 2010
 RISC/Intercity number theory seminar on Crypto, Coding and Geometry, November, 2010
 The Irish Geometry Conference, May, 2011
 The Claude Shannon Workshop on Coding and Cryptography, Cork, May, 2011
 "Global Fields", Laboratoire CNRS J.V. Poncelet and Independent University of Moscow, October, 2011
 "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, April, 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, November, 2012
 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, May, 2013
 "Arithmetic, Geometry, Coding Theory and Cryptography 14", Marseille, Luminy, France, June, 2013
 "Algebraic curves over finite fields" November 1115, 2013
 "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
 "Zeta Functions 5" Independent University of Moscow, Laboratoire Poncelet, Moscow, Russia (December 15, 2014)
Recent Talks
 "Curves with many rational points", UCD, Algebra seminar, October 2008
 "Explicit equations of optimal curves genus 3", CSI Workshop on Coding and Cryptography, May, 2009
 "On the Zeta Functions of an optimal tower of function fields over $\mathbb{F}_4$", Fq9, July 2009
 "The Galois closure of a tower of function fields", UCD, Algebra Seminar, 2010
 "The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2", conference "Zeta Functions",Moscow, June 2010
 "Curves over finite fields with many rational points, existence and constructions", Nanyang Technological University, Singapore, January 2011
 "Reduction of abelian varieties with complex multiplication and its first truncated BarsottiTate group schemes", UCD, Dublin, April, 2011
 "Curves over finite fields with many rational points, existence and constructions",video conference with Telecom ParisTech, April, 2011
 "Reduction of abelian varieties with complex multiplication and its first truncated BarsottiTate group schemes", The Irish Geometry Conference, Galway, May, 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, June, 2011
 "Abelian varieties with complex multiplication and their first truncated BarsottiTate group schemes", IMU, October, 2011
 "Towers of function fields over finite fields and their sequences of zetafunctions", IMU, April, 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, June 2012
 "Generalization of Deuring reduction theorem", Independent Moscow University, November 2012
 "Generalization of Deuring Reduction Theorem", Adam Mickiewicz University in Poznan (Poland), April 2013
 "Canonical coordinates on the canonical lift via Dieudonne modules", conference "Diophantine Geometry", Moscow, Russia, May, 2013
 "Generalization of Deuring Reduction Theorem", conference "Arithmetic days 2013", St.Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia, May, 2013
 "Zeta functions of towers of function fields", workshop2 "Algebraic curves over finite fields", Austria, Linz, RICAM, November, 2013

"Coefficients of Zeta functions of the second GarciaStichtenoth tower as polynomial functions", conference "Zeta functions 5", Moscow, Russia, December, 2014
Conferences organizer
 AGCT14, Luminy, Marseille, June, 37, 2013 (together with Stéphane Ballet and Marc Perret)
 ITaS Kaliningrad, Russia, September, 17, 2013 (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: g.b.m.vandergeer AT 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
Immanuel Kant Baltic Federal University,
email: elliptec AT mail.ru