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Curriculum Vitae

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.

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

Μονάδα Διασφάλισης Ποιότητας Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης

Tu sei qui

Curriculum Vitae

Dimitrios Poulakis

Courses of Winter semester of 2016–17 academic year

Courses of Spring semester of 2016–17 academic year

Student Theses within AUTh

2014–2015

2013–2014

2012–2013

2010–2011

2008–2009

2007–2008

2006–2007

2004–2005

2012

2011

2009

2006

2005

2004

2003

2002

2001

2000

1999

1998

1997

1996

1994

1993

1992

1991

1989

1987

2013

2010

Μονάδα Διασφάλισης Ποιότητας
Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης