Gerhard Frey

Gerhard Frey ( born 1944 ) is a German mathematician who is mainly active in the field of number theory.

Career

Frey studied mathematics and physics at the University of Tübingen and graduated in 1967. He received his doctorate in 1970 and 1973, followed by his Habilitation. Following an assistant professorship in Heidelberg from 1969-1973 and a professor at the University of Erlangen- Nuremberg from 1973-1975, and a professor in Saarbrücken from 1975-1990, he held until 2009, Department of Number Theory at the Institute for Experimental Mathematics, University of Duisburg Food held in Essen. He was a visiting scholar at various universities and research institutions, such as the Ohio State University, Harvard University, the University of California at Berkeley, at the Mathematical Sciences Research Institute ( MSRI ), the Institute for Advanced Studies at the Hebrew University of Jerusalem, and at the Instituto Nacional de Matemática Pura e Aplicada ( IMPA ) in Rio de Janeiro.

Field of work

Frey became famous through the 1986 established presumption that a counterexample

For the great Fermat's theorem an elliptic curve with equation

Would provide that contradict the Taniyama - Shimura conjecture.

Frey's conjecture was proved in the same year by the American mathematician K. Ribet. 1995 showed A. Wiles and R. Taylor, that the Taniyama - Shimura conjecture is true in the circumstances where; So there is no counter-example as above, that is, the Fermat theorem is true.

His research interests are arithmetic properties of function fields over finite fields, and properties of representations of the Galois group of the rational numbers. In addition, he deals with the calculation of the L- series of number fields and curves and so contiguous, of modular forms.

It also deals with cryptography on elliptic curves (ECC). In 1994, he was with Hans -Georg return a method of attack on the discrete logarithm problem for elliptic curve ( ECDLP ) with Weil and Tate pairings and 1998 descent over the Weil.

Honors and Awards

In 1996 he received the Medal of the Gaussian Brunswick Scientific Society for his contribution to Fermat's theorem. Since 1998 he is member of the Academy of Sciences, Göttingen. The Department of Mathematics, University of Kassel drew Gerhard Frey in 1999 "in recognition of his outstanding contribution to the advancement of mathematics " with an honorary doctorate from. The Faculty of Mathematics and Physics in Tübingen drew its former students in 2007 with an honorary doctorate from "for his pioneering discoveries in number theory of elliptic curves and for his decisive contributions to the solution of the century problem - known as Fermat's Last Theorem ".

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