Nationality German Fields Mathematics Education University of Tubingen | Role Mathematician Name Gerhard Frey | |
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Alma mater University of Heidelberg Doctoral students Tanja LangeHans-Georg RuckStefan WewersAnne-Monika SpallekAnnegret WengRoger OyonoXavier Taixes i Ventosa | ||
Fermat s last theorem and elliiptic curves gerhard frey
Gerhard Frey ( [fʀaɪ]; born 1944) is a German mathematician, known for his work in number theory. His Frey curve, a construction of an elliptic curve from a purported solution to the Fermat equation, was central to Wiles' proof of Fermat's Last Theorem.
Contents
- Fermat s last theorem and elliiptic curves gerhard frey
- Mathematics and data security protected by numbers by Gerhard Frey
- Education and career
- Research contributions
- Awards and honors
- References
Mathematics and data security: protected by numbers by Gerhard Frey
Education and career
He studied mathematics and physics at the University of Tübingen, graduating in 1967. He continued his postgraduate studies at Heidelberg University, where he received his Ph.D. in 1970, and his Habilitation in 1973. He was assistant professor at Heidelberg University from 1969–1973, professor at the University of Erlangen (1973–1975) and at the Saarland University (1975–1990) and until 2009, he held a chair for number theory at the Institute for Experimental Mathematics at the University of Duisburg-Essen, campus Essen.
He was a visiting scientist at several universities and research institutions, including Ohio State University, Harvard University, University of California, Berkeley, the Mathematical Sciences Research Institute (MSRI), the Institute for Advanced Studies at the Hebrew University of Jerusalem, and IMPA in Rio de Janeiro.
Frey was also the co-editor of the Manuscripta Mathematica.
Research contributions
His research areas are number theory and arithmetical geometry, as well as applications to coding theory and cryptography. In 1985, Frey pointed out a connection between Fermat's last theorem and the Taniyama conjecture, and this connection was made precise shortly thereafter by Kenneth Ribet, who proved that the Taniyama conjecture implies Fermat's last theorem. This approach provided a framework for the subsequent successful attack on Fermat's last theorem by Andrew Wiles in the 1990s.
In 1998, Frey proposed the idea of Weil descent attack for elliptic curves over finite fields with composite degree. As a result of this attack, cryptographers lost their interest in these curves.
Awards and honors
Frey was awarded the Gauss medal of the Braunschweigische Wissenschaftliche Gesellschaft in 1996 for his work on Fermat's Last Theorem. Since 1998 he has been a member of the Göttingen Academy of Sciences.
In 2006 he received the Certicom ECC Visionary Award for his contributions to elliptic curve cryptography.