Welcome to my web site

Academic positions

• 1998 → 2001

  Assistant professor at  Baltic State Academy

• 2001 → 2003

  Associate professor 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 →    ∞   

  Head of a laboratory "mathematical methods in information theory" at Kant Baltic Federal University

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), 1999-2000
• Certificate from Russian Academy of Sciences for high level of teaching of young scientists, 2002
• Research grant from Netherlands Organization for Scientific (N.W.O.), 2003-2007
• 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

• "Non-abelian Kummer extenstions", proceedings of Kaliningrad State University, 1998
• "Generators of Galois closure of a sequence of curves attaining the Drinfeld-Vl\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 Drinfeld-Vladut bound" А. Зайцев; A. Zaitsev //
  Доклады международного математического семинара к 140-летию со дня рождения Давида Гильберта из Кенигсберга и 25-летию математического факультета. -Калининград, 2002.-С.223-227 (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 Garcia-Stichtenoth tower", journal ''Finite Fields and Their Applications'', 2007, volume 13, pp.751-761 (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
• "Optimal Curves of Genus $3$ over Finite Fields with Discriminant $-19$", journal ''Finite Fields and Their Applications'', 2011, volume 17, pp.350-358, (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) accepted for publication in the journal "Finite Fields and Their Applications".
• "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)
• "On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to $7$ over Finite Fields", (joint work with V.Singh and G. McGuire)
• "Generalization of Deuring Reduction Theorem", http://arxiv.org/abs/1209.5207

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 Hasse-Weil bound". 

• 2011 → 2012

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

• 2012 → 2012

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

• 2012 →    ∞   

  Kant Baltic Federal University: Lecturer and Instructor of a course " Methods and Algorithms of generation hyperelliptic curves in cryptography"

Conferences and Workshops for last 2 years

• ESF Workshop on Codes, Cryptography and Coding Theory, Institut de Mathématiques de Luminy, March 25 - 29, 2009
• AGCT-12 , CIRM Luminy, Marseille, 30th March - 3rd April, 2009
• The 12th Workshop on Elliptic Curve Cryptography , September 22-24, 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, Novemberl, 2012

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 Barsotti-Tate 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 Barsotti-Tate 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 Barsotti-Tate group schemes",  IMU, October, 2011
• "Towers of function fields over finite fields and their sequences of zeta-functions", 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 Barsotti-Tate 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
   

Conferences organizer

• AGCT14, Luminy, Marseille, June, 3-7, 2013 (together with Stéphane Ballet and Marc Perret)
• ITaS Kaliningrad, Russia, September, 1-7, 2013 (BFU Local Organizing Committee)

Reviewer

• Finite Fields and Their Applications
• Designs, Codes and Cryptography

Referees

Hobby

• My hobby is volleyball, it is very nice and exciting game. Last year, I was playing with Amber Coast VC