Curriculum Vitae Konstantinos A. Draziotis

Curriculum Vitae
Konstantinos A. Draziotis
E-mail:
drazioti@gmail.com
Education
B.S. Aristotle University of Thessaloniki, Greece, Mathematics, 1994-1998
Ph.D. Aristotle University of Thessaloniki, Mathematics, 2001-2005
Advisor : D.Poulakis
Title : Unramified Morphisms and Diophantine Equations
Positions Held
1/10/2005-2009 : Scientific Collaborator in the Technological and Educational
Institute (T.E.I.) of Kavala, Greece.
3/10/2007-29/2/2008 : Visiting Assistant Professor, University of Macedonia,
Department of Technology Management.
2009-1/2/2013 : Secondary education
2013-today : Lecturer in Computer Science Department, AUTH
Languages
English, French.
Conferences
1. 4th Panhellenic Conference on Algebra and Number Theory, 30 May - 2 May
2002, University of Patra, Patra, Greece.
2. 13th International Conference on Fibonacci Numbers and their Application.
7-11 July 2008, Patra, Greece.
3. 2nd International Conference on Algebraic Informatics, 21 May - 25 May
2007, University of Thessaloniki, Thessaloniki, Greece
4. 3rd International Conference on Algebraic Informatics (CAI 2009), 19/5/2009-
22/5/2009, Thessaloniki, Greece.
5. 7th Athens Colloquium on Algorithms and Complexity(ACAC 2012), Athens,
Greece.
6. 2nd International Conference on Applications of Mathematics and Informatics
in Military Sciences (AMIMS), 11-12 April 2013, Hellenic Military Academy,
Athens, Greece.
Talks
1. 23/11/2005 : Integer points on the curve y 2 = x(x 2 ± 2 k p λ ), Seminar of Discrete
Mathematics, Department of Mathematics, Aristotle University of Thessaloniki,
Greece.
2. 10/7/2008, On the Ljunggren Equation y 2 = 2x 4 − 1.
13th International Conference on Fibonacci Numbers and their Application.
7-11 July 2008, Patra, Greece.
3. 18/11/2008, Chabauty Method and Elliptic Curves. Department of Mathe-

matics, University of Ioannina, Greece.
4. 19/5/2009, Computation of Pell Numbers of the form px 2 . Third International
Conference on Algebraic Informatics (CAI 2009), Thessaloniki, Greece.
5. 28/8/2012, Balanced Solutions of Linear Diophantine Equations, 7th Athens
Colloquium on Algorithms and Complexity(ACAC 2012), Athens, Greece.
6. 11/4/2013 Balanced Solutions of Linear Diophantine Equations, 2nd International
Conference on Applications of Mathematics and Informatics in Military
Sciences (AMIMS), 11-12 April 2013, Hellenic Military Academy, Athens.
Research Programs
1. I took part to the research programme Number Theory and Languages (Projet
9594, Mauduit - Poulakis ) which is created in 2001 for two years 2001 and
2002 between CNRS and National Hellenic Research Foundation (NHRF). In
the frame of this programme, I visited the university of Marseille 4/6/2001-
16/6/2001 in Lumini and the period 9/9/2002-23/9/2002 the Mathematics Institute
of Jussieu in Paris. (Universities of Paris VI and VII).
2. I was as guest researcher in the RISC (Research Institute for Symbolic Computation),
J.Kepler University Linz, Austria, from July 24 to August 7, 2006
in the frame of the project SCIEnce-Symbolic Computation Infrastructure for
Europe-of the European Commission Framework 6 Programme for Integrated
Infrastructures Initiatives.
Academic Honors
2001-2005 : Hellenic State Scholarships Foundation Fellow (I.K.Y.).
Publications
1. Integer Points on the curve Y 2 = X 3 ± p k X. Mathematics of Computation,
Vol. 75, 255, July 2006, Pages 1493-1505.
2. Practical Solution of the Diophantine equation y 2 = x(x + 2 a p b )(x − 2 a p b ).
Mathematics of Computation, Vol. 75, 255, July 2006, Pages 1585-1593 (with
D.Poulakis) .
3. The Ljunggren Equation revisited. Colloquium Mathematicum, Vol.109,
Number 1 (2007), Pages 9-11.
4. Explicit Chevalley-Weil Theorem for Affine Plane Curves. 24 pages, Rocky
Mountain Mathematical Journal, Vol.39, Issue 1, 2009 (with D.Poulakis).
5. Solving the Diophantine Equation y 2 = x(x 2 − n 2 ). Journal of Number Theory,
Vol. 129, Issue 1, Pages 102-121 (January 2009) (with D.Poulakis).
6. Practical Solution of the Diophantine Equation X nr + Y n = q, Elemente der
Mathematik, Volume 66, Issue 1, 2011, p.19-25.
7. Computation of Pell Numbers of the Form px 2 . CAI 2009 (19-22 May). Lecture
Notes in Computer Science 5725, p.220.
8. Number of Integer Points on the elliptic curve Y 2 = X 3 + AX. International
Journal of Number Theory, Vol. 7 (3) (May 2011).
9. An Effective Version of Chevalley-Weil Theorem for Projective Plane Curves
Houston Journal of Mathematics, Vol. 38, No. 1 , 2012 (with D.Poulakis).
10. Lattice Attacks on DSA schemes based on Lagrange’s Algorithm, CAI 2013

(France), LNCS 8080 pp.119-131 (with D.Poulakis).
11. Balanced Integer solutions of linear equations, (AMIMS 2013) to be Published
in, Springer Optimization and Its applications (SOIA)
References in Paper 1:
1. T. Thongjunthug, Elliptic curves over Q(i), Honors thesis, University of
New South Wales, 2006. (http://www.warwick.ac.uk/∼margaf/)
2. S. Tengely, TÖRTénet EGÉSZ pontokról, Number Theory Seminar, Debrecen,
Hungary, 2008. (http://www.math.klte.hu/ tengely/images/Debrecen080321.pdf)
3. G. Walsh, The integer solutions to y 2 = x 3 ± p k x, Rocky Mountain Journal
of Mathematics 38 (2008), 1285-1301.
4. J. Reynolds, Perfect powers in elliptic divisibility sequences, J.Number Theory
(132) p.998-1015 (2012).
5. S. Tengely, Integral Points On Families of Elliptic Curves, Winter School on
Explicit Methods On Number Theory, Debrecen, Hungary, 2009.
6. Fujita, Yasutsugu; Terai, Nobuhiro, Integer points and independent points on
the elliptic curve y 2 = x 3 + p k x. Tokyo J. Math. 34 (2011), no. 2, p.367-381
7. M.Bennett, Integral points on congruent number curves to appear in International
Journal of Number Theory.
8. Jin Zhang1, Xiaoxue Li The upper bound estimate of the number of integer
points on elliptic curves y 2 = x 3 +p 2r x, Journal of Inequalities and Applications
2014, 2014:104.
References in Paper 2:
1. M.Bennett, (with P.G.Walsh) Integral Points on Congruent Number Curves,
Workshop in Oberwolfach, Explicit Methods in Number Theory, (17/07 - 23/07/2005).
2. G. Walsh, Integer points on families of elliptic curves. 2007 Spring Eastern
Section Meeting Hoboken, NJ, April 14-15, 2007, Meeting #1026
3. J. Reynolds, Extending Siegel’s Theorem for Elliptic Curves. Thesis, University
of East England, 2008.
4.J. Reynolds, Perfect powers in elliptic divisibility sequences.
J.Number Theory (132) p.998-1015 (2012).
5. M.Bennett, Integral points on congruent number curves to appear in Interanational
Journal of Number Theory.
References in Paper 4:
1. Yuri Bilu, Marco Strambi and Andrea Surroca, Quantitative Chevalley-
Weil theorem for curves. arXiv:0908.1233 (August 2009).
References in Paper 5:
1. J. Reynolds. Power integral points on elliptic curves. Intercity Number
Theory Seminar, 4/12/2009, Utrecht.
2. M.Bennett, Integral points on congruent number curves to appear in Intera-

national Journal of Number Theory.
References in Paper 6:
1. Yuri Bilu, Marco Strambi and Andrea Surroca, Quantitative Chevalley-
Weil theorem for curves. arXiv:0908.1233 (August 2009).
Research Interests
Mathematical Cryptography, Computational Number Theory, Diophantine equations.
Other Scientific Activities
⊲ I am Collaborator (reviewer) of the Journal “Mathematical Reviews” of the
American Mathematical Society.
⊲ Referee
◦ for the 2nd Symposium on Generating functions of special numbers and
polynomials and their applications within ICNAAM2011 (Halkidiki, Greece, 19-
25 September 2011)
◦ for International Journal of Number Theory
◦ for Security and Communication Networks (Wiley)
⊲ I am a member of the Center of Technological research of Eastern Macedonia
and Thrace (Kavala-Greece).