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Dimitrios Poulakis
Professor, School of Mathematics
Personal Information
2310997908
poulakis@math.auth.gr
Course Work
Courses of Winter semester of 2016–17 academic year
TMĪMA MATHĪMATIKŌN
0465
Error Correcting Codes
1070
Internship
METAPTYCΗIAKO TMĪMATOS MATHĪMATIKŌN
0840
Cryptography
Courses of Spring semester of 2016–17 academic year
TMĪMA MATHĪMATIKŌN
0434
Cryptography
1070
Internship
METAPTYCΗIAKO TMĪMATOS MATHĪMATIKŌN
0637
Algebraic Geometry
Theses Supervised
Student Theses within AUTh
2014–2015
. "Κρυπτοανάλυση με lattices"
2013–2014
. «Τα προβλήματα του μικρότερου και εγγυτέρου διανύσματος στα δικτυωτά».
2012–2013
. Επιθέσεις πλευρικού καναλιού επι του RSA (side channel attacks on RSA)
2010–2011
. "ΡΗΤΕΣ ΚΑΜΠΥΛΕΣ ΑΛΓΕΒΡΙΚΩΝ ΣΩΜΑΤΩΝ"
. ΚΩΔΙΚΕΣ GOPPA ΚΑΙ ΤΟ ΚΡΥΠΤΟΣΥΣΤΗΜΑ ΤΟΥ MACELIECE
2008–2009
. Ελλειπτικές Καμπύλες και Πιστοποίηση Πρώτου
. ΣΕΙΡΕΣ PUISEUX ΚΑΙ ΔΙΟΦΑΝΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ
2007–2008
. Κρυπτοσυστήματα Ελλειπτικών Καμπυλών τύπου RSA
. ΔΙΟΦΑΝΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΚΑΙ ΚΡΥΠΤΟΓΡΑΦΙΑ
. Κρυπτοσυστήματα Ελλειπτικών Καμπυλών και ο Αλγόριθμοσ Xendi
. ΣΧΗΜΑΤΑ ΨΗΦΙΑΚΩΝ ΥΠΟΓΡΑΦΙΚΩΝ
2006–2007
. Παραμετροποίηση αλγεβρικών καμπυλών γένους μηδέν
2004–2005
. Το Θεώρημα των Riemann-Roch
Research Projects
1989–
Αριθμητική Ελλειπτικών Καμπύλων
Publications
2012
Poulakis Dimitrios
,
Draziotis Konstantinos
(2012)
.
An effective version of Chevalley-Weil theorem for projective plane curves
.
Houston Journal of Mathematics
.
vol.38 no.1 p.29-39
.
2011
Alvanos P
,
Poulakis D
(2011)
.
Solving genus zero Diophantine equations over number fields
.
Journal of Symbolic Computation
.
vol.46 no.1 p.54-69
.
Karagiorgos G
,
Poulakis D
(2011)
.
Efficient Algorithms for the Basis of Finite Abelian Groups
.
Discrete Mathematics Algorithms and Applications
.
vol.3 no.4 p.537-552
.
Poulakis D
(2011)
.
Some Lattice Attacks on DSA and ECDSA
.
Applicable Algebra in Engineering, Communication and Computing
.
vol.22 no.5-6 p.347-358
.
Poulakis D
(2011)
.
Erratum to: A variant of digital signature algorithm
.
Designs, Codes and Cryptography
.
vol.58 no.2 p.219-219
.
Karagiorgos G
,
Poulakis D
(2011)
.
Linear Time Algorithms for the Basis of Abelian Groups
.
Computing and combinatorics
.
Springer
.
vol.6842 p.456-466
.
Karagiorgos G
,
Poulakis D
(2011)
.
An algorithm for computing a basis of a finite Abelian group
.
Algebraic informatics
.
Springer
.
vol.6742 p.174-184
.
Karagiorgos G
,
Poulakis D
(2011)
.
Linear Time Algorithms for the Basis of Abelian Groups
.
17th Annual International Conference in Computing and Combinatorics COCOON 2011
.
Dallas TX USA
.
Karagiorgos G
,
Poulakis D
(2011)
.
An algorithm for computing a basis of a finite Abelian group
.
4rd International Conference on Algebraic Informatics
.
Linz, Austria
.
2009
Draziotis K
,
Poulakis D
(2009)
.
Solving the Diophantine equation y2 = x(x2−n2)
.
Journal of Number Theory
.
vol.129 no.1 p.102-121
.
Draziotis K
,
Poulakis D
(2009)
.
Corrigendum to 'Solving the Diophantine equation y2 = x(x2−n2)'
.
Journal of Number Theory
.
vol.129 no.3 p.739-740
.
Poulakis D
,
Draziotis K
(2009)
.
Explicit Chevalley-Weil Theorem for Affine Plane Curves
.
Rocky Mountain Journal of Mathematics
.
vol.39 no.1 p.49-70
.
Poulakis D
,
Alvanos P
,
Bilu Y
(2009)
.
Characterizing Algebraic Curves with Infinitely Many Integral Points
.
International Journal of Number Theory
.
vol.5 no.4 p.585-590
.
Poulakis D
(2009)
.
A variant of Digital Signature Algorithm
.
Designs, Codes and Cryptography
.
vol.51 no.1 p.99-104
.
Poulakis D
(2009)
.
A public key encryption scheme based on factoring and discrete logarithm
.
Journal of Discrete Mathematical Sciences & Cryptography
.
vol.12 no.6 p.745-752
.
Poulakis D
(2009)
.
On the rational solutions of the equation f(X,Y) a = h(X) g(X, Y)
.
Canadian Mathematical Bulletin
.
vol.52 no.1 p.117-126
.
Poulakis D
(2009)
.
On the rational points of the curve f(X, Y )q = h(X)g(X, Y )
.
Canadian Mathematical Bulletin
.
vol.52 no.1 p.117-126
.
Poulakis D
,
Alvanos P
(2009)
.
Solving Norm Form Equations over Number Fields
.
Algebraic Informatics, Third International Conference, CAI 2009, Proceedings
.
Thessaloniki Greece
.
vol.5725 p.136-146
.
2006
Draziotis Konstantinos
,
Poulakis Dimitrios
(2006)
.
Practical solution of the Diophantine equation y2 = x(x+2apb)(x-2apb)
.
Mathematics of Computation
.
vol.75 no.255 p.1585-1593
.
Poulakis D
,
Walsh P.-G
(2006)
.
On the Diophantine equation x2-dy4 = 1 with prime discriminant II
.
Colloquium Mathematicum
.
vol.105 no.1 p.51-55
.
Πουλάκης Δ
(2006)
.
Εισαγωγή στη Γεωμετρία των Αλγεβρικών Καμπυλών
.
Ζήτη
.
2005
Poulakis D
,
Walsh P.-G
(2005)
.
A note on the Diophantine equation X2-dY4 = 1 with prime discriminant
.
Comptes Rendus Mathématiques des l'Académie des Sciences.La Société Royale du Canada
.
vol.27 no.2 p.54-57
.
2004
Laurent M
,
Poulakis D
(2004)
.
On the global distance between two algebraic points on a curve
.
Journal of Number Theory
.
vol.104 no.2 p.210-254
.
Poulakis D
(2004)
.
Integer points on rational curves with fixed gcd
.
Publicationes Mathematicae Debrecen
.
vol.64 no.3-4 p.369-379
.
2003
Poulakis D
,
Voskos E
(2003)
.
On the distribution of integer points of rational curves
.
Periodica Mathematica Hungarica
.
vol.46 no.1 p.89-101
.
Poulakis D
(2003)
.
Bounds for the smallest integer point of a rational curve
.
Acta Arithmetica
.
vol.107 no.3 p.251-268
.
Poulakis D
(2003)
.
Affine curves with infinitely many integral points
.
Proceedings of the American Mathematical Society
.
vol.131 no.5 p.1357-1359
.
2002
Poulakis D
,
Voskos E
(2002)
.
Solving genus zero Diophantine equations with at most two infinite valuations
.
Journal of Symbolic Computation
.
vol.33 no.4 p.479-491
.
2001
Poulakis D
(2001)
.
Bounds for the size of integral points on curves of genus zero
.
Acta Mathematica Hungarica
.
vol.93 no.4 p.327-346
.
2000
Poulakis D
,
Voskos E
(2000)
.
On the practical solution of genus zero Diophantine equations
.
Journal of Symbolic Computation
.
vol.30 no.5 p.573-582
.
Poulakis D
(2000)
.
Sur la réduction modulo p des polynômes absolument irréductibles
.
Monatshefte für Mathematik
.
vol.129 no.2 p.139-145
.
Poulakis D
(2000)
.
Sur la réduction modulo p des courbes algébriques lisses
.
Archiv der Mathematik
.
vol.75 no.5 p.342-345
.
Poulakis D
(2000)
.
Corrigendum to the paper: 'The number of solutions of the Mordell equation'
.
Acta Arithmetica
.
vol.92 no.4 p.387-388
.
1999
Poulakis D
(1999)
.
A simple method for solving the Diophantine equation Y2 = X4 + aX3 + bX2 + cX + d
.
Elemente der Mathematik
.
vol.54 no.1 p.32-36
.
Poulakis D
(1999)
.
The number of solutions of the Mordell equation
.
Acta Arithmetica
.
vol.88 no.2 p.173-179
.
Poulakis D
(1999)
.
Bounds for the size of integral solutions to Ym = f(X)
.
Proceedings of the Edinburgh Mathematical Society
.
vol.42 no.1 p.127-141
.
1998
Poulakis D
(1998)
.
Bounds for the minimal solution of genus zero Diophantine equations
.
Acta Arithmetica
.
vol.86 no.1 p.51-90
.
1997
Poulakis D
(1997)
.
Polynomial bounds for the solutions of a class of Diophantine equations
.
Journal of Number Theory
.
vol.66 no.2 p.271-281
.
Poulakis D
(1997)
.
Integer points on algebraic curves with exceptional units
.
Journal of the Australian Mathematical Society, Series A
.
vol.63 no.2 p.145-164
.
1996
Poulakis D
(1996)
.
Estimation effective des points entiers d’une famille de courbes algébriques
.
Annales de la faculté des sciences de Toulouse
.
vol.5 no.4 p.691-725
.
1994
Poulakis D
(1994)
.
Points entiers et modèles des courbes algébriques
.
Monatshefte für Mathematik
.
vol.118 no.1-2 p.111-143
.
1993
Poulakis D
(1993)
.
Points entiers sur les courbes de genre 0
.
Colloquium Mathematicum
.
vol.66 no.1 p.1-7
.
1992
Poulakis D
(1992)
.
Solutions entières de l’équation f(X, Y)α = p(X)g(X, Y)
.
Comptes Rendus de l'Académie des Sciences de Paris, Series I, Mathematics
.
vol.315 no.9 p.963-968
.
Poulakis D
(1992)
.
Points entiers sur les courbes hyperelliptiques
.
Acta Arithmetica
.
vol.62 no.1 p.25-43
.
Poulakis D
(1992)
.
Courbes elliptiques et 2-extensions abéliennes
.
Bulletin of the Greek Mathematical Society
.
vol.34 p.155-160
.
1991
Poulakis D
(1991)
.
Solutions entières de l’équation Ym = f(X)
.
Séminaire de Théorie des Nombres de Bordeaux
.
vol.3 no.1 p.187-199
.
1989
Poulakis D
(1989)
.
On the homomorphisms of a family of finite rings
.
Bulletin de la Société Máthematique de Grèce
.
vol.30 p.43-47
.
1987
Poulakis D
(1987)
.
Évaluation d’une somme cubique de caractères
.
Journal of Number Theory
.
vol.27 no.1 p.41-45
.
2013
Draziotis Konstantinos
,
Poulakis Dimitrios
(2013)
.
Lattice Attacks on DSA Schemes Based on Lagrange’s Algorithm
.
Algebraic Informatics
.
Berlin, Heidelberg
.
Springer Berlin Heidelberg
.
vol.8080 p.119-131
.
Draziotis Konstantinos
,
Poulakis Dimitrios
(2013)
.
Lattice Attacks on DSA Schemes Based on Lagrange’s Algorithm
.
Lattice Attacks on DSA Schemes Based on Lagrange’s Algorithm : 5th International Conference, CAI 2013, Porquerolles, France, September 3-6, 2013. Proceedings
.
5th International Conference, CAI 2013
.
Porquerolles - France
.
p.119-131
.
2010
Πουλάκης Δ
(2010)
.
Αλγεβρικοί Κώδικες
.
Ζήτη
.
Aggiornato: 2017-08-15