Curriculum Vitae

Dimitrios Poulakis

Professor, School of Mathematics

Personal Information

- 2310997908
poulakis@math.auth.gr
Scopus ID6701729986
MathSciNet ID206226

Course Work

Courses of Winter semester of 2018–19 academic year

	TMĪMA MATHĪMATIKŌN
0102	Introduction to Algebra
0465	Error Correcting Codes
1070	Internship

	METAPTYCΗIAKO TMĪMATOS MATHĪMATIKŌN
0677	Topics in Number Theory

Courses of Spring semester of 2018–19 academic year

	TMĪMA MATHĪMATIKŌN
0102	Introduction to Algebra
0434	Cryptography
1070	Internship

	METAPTYCΗIAKO TMĪMATOS MATHĪMATIKŌN
0840	Cryptography

Theses Supervised

Student Theses within AUTh

2017–2018

Ralli Dimitra. "A computational model for the contribution of zonulin to the development of cancer and autoimmune diseases" (Ένα πολογιστικό μοντέλο για τη συμβολή της ζονουλίνης στην ανάπτυξη του καρκίνου και αυτοάνοσων νοσημάτων)

2014–2015

Foutzopoulou Maria. "Κρυπτοανάλυση με lattices"

2013–2014

Adamoudis Marios. «Τα προβλήματα του μικρότερου και εγγυτέρου διανύσματος στα δικτυωτά».

2012–2013

THeocharopoulou Eydoxia. Επιθέσεις πλευρικού καναλιού επι του RSA (side channel attacks on RSA)

2010–2011

Vasileiadou Zoi. ΚΩΔΙΚΕΣ GOPPA ΚΑΙ ΤΟ ΚΡΥΠΤΟΣΥΣΤΗΜΑ ΤΟΥ MACELIECE
Alvanos Paraskeuas. "ΡΗΤΕΣ ΚΑΜΠΥΛΕΣ ΑΛΓΕΒΡΙΚΩΝ ΣΩΜΑΤΩΝ"

2008–2009

Lampropoulos Charisios. Ελλειπτικές Καμπύλες και Πιστοποίηση Πρώτου
Dospra Petroula. ΣΕΙΡΕΣ PUISEUX ΚΑΙ ΔΙΟΦΑΝΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ

2007–2008

Toura Varvara. Κρυπτοσυστήματα Ελλειπτικών Καμπυλών τύπου RSA
Malikiosis Romanos-Diogenis. Κρυπτοσυστήματα Ελλειπτικών Καμπυλών και ο Αλγόριθμοσ Xendi
Chatzi-Georgiou Aikaterini. ΣΧΗΜΑΤΑ ΨΗΦΙΑΚΩΝ ΥΠΟΓΡΑΦΙΚΩΝ
Saltzis Georgios. ΔΙΟΦΑΝΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΚΑΙ ΚΡΥΠΤΟΓΡΑΦΙΑ

2006–2007

Stauropoulos Sōkratīs. Παραμετροποίηση αλγεβρικών καμπυλών γένους μηδέν

2004–2005

Alvanos Paraskeuas. Το Θεώρημα των Riemann-Roch

Unknown

Mylonas Evangelos. " Επί της Αριθμητικής των Ελλειπτικών Καμπυλών. Το θεώρημα Mordell-Weil"

Research Projects

1989–

Αριθμητική Ελλειπτικών Καμπύλων

Publications

2013

Conference Proceedings Article

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. Porquerolles - France. p.119-131.

Book - Textbook

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.

2012

Journal Article

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

Journal Article

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.

Book Chapter

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.

Conference Proceedings Article

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.

2010

Without Type

Πουλάκης Δ (2010). Αλγεβρικοί Κώδικες. Ζήτη.

2009

Journal Article

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.

Conference Proceedings Article

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

Journal Article

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.

Without Type

Πουλάκης Δ (2006). Εισαγωγή στη Γεωμετρία των Αλγεβρικών Καμπυλών. Ζήτη.

2005

Journal Article

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

Journal Article

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

Journal Article

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

Journal Article

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

Journal Article

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

Journal Article

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

Journal Article

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

Journal Article

Poulakis D (1998). Bounds for the minimal solution of genus zero Diophantine equations. Acta Arithmetica. vol.86 no.1 p.51-90.

1997

Journal Article

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

Journal Article

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

Journal Article

Poulakis D (1994). Points entiers et modèles des courbes algébriques. Monatshefte für Mathematik. vol.118 no.1-2 p.111-143.

1993

Journal Article

Poulakis D (1993). Points entiers sur les courbes de genre 0. Colloquium Mathematicum. vol.66 no.1 p.1-7.

1992

Journal Article

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

Journal Article

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

Journal Article

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

Journal Article

Poulakis D (1987). Évaluation d’une somme cubique de caractères. Journal of Number Theory. vol.27 no.1 p.41-45.

Updated: 2018-10-29

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Curriculum Vitae

Dimitrios Poulakis

Courses of Winter semester of 2018–19 academic year

Courses of Spring semester of 2018–19 academic year

Student Theses within AUTh

2017–2018

2014–2015

2013–2014

2012–2013

2010–2011

2008–2009

2007–2008

2006–2007

2004–2005

Unknown

Conference Proceedings Article

Book - Textbook

Journal Article

Journal Article

Book Chapter

Conference Proceedings Article

Without Type

Journal Article

Conference Proceedings Article

Journal Article

Without Type

Journal Article

Journal Article

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Quality Assurance Unit (MODIP)
Aristotle University of Thessaloniki