Jens Franke
Encyclopedia
Jens Franke is a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

. He holds a chair at the University of Bonn
University of Bonn
The University of Bonn is a public research university located in Bonn, Germany. Founded in its present form in 1818, as the linear successor of earlier academic institutions, the University of Bonn is today one of the leading universities in Germany. The University of Bonn offers a large number...

's Hausdorff Center for Mathematics
Hausdorff Center for Mathematics
The Hausdorff Center for Mathematics is a research institute in Bonn, supported by the four mathematical institutes of the Rheinische Friedrich-Wilhelms-Universität Bonn , the Max Planck Institute for Mathematics and the Institute for Social and...

 since 1992. Franke's research has covered various problems of number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...

, algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...

 and analysis
Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle , though analysis as a formal concept is a relatively recent development.The word is...

 on locally symmetric spaces.

Franke attended the University of Jena, where he earned his Ph.D. under Hans Triebel in 1986. He was awarded the EMS Prize in 1992, and the Oberwolfach Prize in 1993.

In recent years, Franke worked on an implementation of the Number Field Sieve algorithm for prime decomposition. In May 2007, he and his colleague Thorsten Kleinjung announced the factorization of M1039 (see also Mersenne prime
Mersenne prime
In mathematics, a Mersenne number, named after Marin Mersenne , is a positive integer that is one less than a power of two: M_p=2^p-1.\,...

).

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