Joe Buhler

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Joe Peter Buhler (* 1950 in Vancouver (Washington) ) is an American mathematician.

Buhler received his bachelor's degree from Reed College in 1972 and received his doctorate in 1977 with John T. Tate at Harvard University (Icosahedral Galois Representations). He was professor at Reed College in Portland (Oregon) from 1980 until his retirement in 2005 .

In 1997 he introduced the concept of the Essential Dimension with Zinovy ​​Reichstein .

He is involved in a project to numerically verify the conjecture of Harry Vandiver and Ernst Eduard Kummer about the class number of circular dividers. Vandiver proved it with a desk calculator up to 600, Derrick Henry Lehmer at the end of the 1940s up to around 5000 and Buhler with colleagues in 2001 up to 12 million. He continues the project with David Harvey and others.

He deals with algorithmic algebraic number theory, algebra and cryptography .

He is a fellow of the American Mathematical Society .

Web links

Individual evidence

  1. Joe Buhler in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Published in the Lecture Notes in Mathematics 654, Springer Verlag 1978
  3. ^ Reed College, Emeriti
  4. ^ Buhler, Reichstein On the essential dimension of a finite group , Compositio Mathematica, Volume 106, 1997, pp. 159-179
  5. Buhler, Richard Crandall , Reijo Ernvall, Tauno Metsänkylä, M. Amin Shokrollahi Irregular primes and cyclotomic invariants to 12 million , Journal of Symbolic Computation, Volume 31, 2001, pp. 89-96
  6. Buhler, Harvey Irregular primes up to 163 million , Preprint 2009