Jim Barthel

Jim Jean-Pierre BARTHEL

Phd Researcher

Computational Number Theory

Jim Jean-Pierre obtained a Bachelor degree in mathematics from the University of Luxembourg. Then, he continued his academic path at the catholic University of Louvain where he graduated after two years in pure mathematics. For his Master thesis named “Continued fractions and their relation to integral binary quadratic forms”, he obtained the Professor Robert F. Ballieu award from the catholic University of Louvain in December 2018.

On the 15th September 2018 he started working as a doctoral researcher in computer science at the University of Luxembourg. At the same time, he joined the computer science and communication team (CSC) and the SP2 group of the university. Under the supervision of Volker Müller, he concentrates on computational number theory which includes his personal research interests, namely integer factorization methods and related topics. Besides investigating new factorization methods and analyzing the existing ones, he studies their applications in cryptography.

His tentative thesis topic named “On simultaneous Chinese Remaindering” connects number theory to graph theory and should yield an effective way to solve a multivariate system of congruence equations. We hope that such an effective method leads to a new factorization method and new insights of factorization based cryptosystems like RSA.

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