Modification: May 03, 2010


F. Patrick Rabarison-Personal Webpage



Université de CAEN
Laboratoire de Mathématiques Nicolas Oresme
Boulevard Maréchal Juin-Campus2
14000 CAEN
FRANCE

Office: S3 220 (Campus2)

Phone: (33) 02 31 56 73 63

E-mail :

xxx@math.unicaen.fr où xxx=rabarison

yyy@yahoo.fr où yyy=prabary


Welcome to my personal web page. I am a PhD Doctor at the University of CAEN ( Mathematics ) and also ATER (Attaché Temporaire d'Enseignement et de Recherche) at the IUFM (Institut Universitaire de Formation des Maitres) de Basse-Normandie. I am in the group of number theory and arithmetic geometry of the laboratory LMNO. The subject of my thesis is on the arithmetic of elliptic curves defined over algebraic number fields or on function fields of some elliptic curve with positive rank. I'm also interested on elliptic curve defined over some function fields of other variety and on cryptography. My thesis was supervised by Denis Simon.

Domain Area: Number Theory and Arithmetic Geometric, Cryptogtaphy.

Interested on:

  • Arithmetic of elliptic curve over number fields and function Fields.

  • Cryptography and Information theory.

  • Arithmetic of Elliptic Surface, especially in K3 surfaces.

  • Many diophantine Equations and other maths...


Here, you can find a webpage concerning the chapter 3 of my PhD thesis : family of elliptic curves. It care about the best known result till now on the arithmetic of elliptic curves defined over Q(t) or one some function field of elliptic curve with positive rank. This is a webpage by Andrej Dujella who show the actual record on elliptic curves defined over Q.

For elliptic curves over algebraic number fields, see the page of Jennifer Sinnott.

Here, you can download a pdf format of my thesis.