Jens Franke

Jens Franke ( born June 29, 1964) is a German mathematician.

Life

Franke studied from 1983 to 1986 in Jena mathematics and received his PhD in 1986 on elliptic boundary value problems in Besov - Triebel - Lizorkin - Triebel spaces with Hans. From 1986 to 1988 he was in Moscow from 1988 to 1989 at the Weierstrass Institute in Berlin and in 1989 at the Max Planck Institute for Mathematics in Bonn. He then went to 1991 at the Institute for Advanced Study in Princeton from 1991 to 1992 and was again at the Max Planck Institute for Mathematics in Bonn. Since 1992 he has C3 - Professor at the Mathematical Institute of the University of Bonn. Franke received the 1992 EMS Prize and the 1993 Oberwolfach Prize.

Work

After early work in functional analysis, he devoted himself to questions of number theory, algebraic geometry and analysis locally symmetric spaces, in particular automorphic forms. It is essential to be proof of the Borel conjecture in the theory of arithmetic groups (Harmonic analysis and weighted L_2 spaces, Ann. Scient. ENS 31, 1998, 181-279 ). In recent years, he dedicated himself, together with Thorsten Kleinjung of factoring large numbers with the number field sieve, which made him known to a wider public. This work led to the successful factorization of RSA -200 test numbers, RSA -576 and RSA -640 of the RSA Factoring Challenge, which is why the competition has been set. In May 2007, the team led by Jens Franke and Thorsten Kleinjung could specify the factorization of the 1039th Mersenne number. Franke and his staff also made proposals for a hardware implementation of the factorization algorithm.

Writings

• With Y. Manin, Y. Tschinkel: Rational points of bounded height on Fano varieties. Invent. Math 95 (1989 ), no 2, 421-435.
• Harmonic analysis in weighted -spaces. Ann. Sci. École standard. Sup (4 ) 31 (1998 ), no 2, 181-279.