Juerg Peter Buser

from Wikipedia, the free encyclopedia


Jürg Peter Buser , known as Peter Buser, (born February 27, 1946 in Basel-Land ) is a Swiss mathematician who deals with differential geometry and global analysis .

Buser received his doctorate in 1976 at the University of Basel under Heinz Huber ( investigations into the first eigenvalue of the Laplace operator on compact surfaces ). As a post-doctoral student he was at the University of Bonn , the University of Minnesota in Minneapolis and the State University of New York at Stony Brook before he completed his habilitation at the University of Bonn with a thesis on the length spectrum of Riemann surfaces.

Curved isospectral surfaces he constructed in three dimensions led to the negative solution of the Can you hear the shape of a drum problem by Mark Kac (which asks for a planar solution) by Scott Wolpert , David Webb and Carolyn Gordon in 1992. After him and Jeff Cheeger is the name of the Cheeger-Buser inequality .

He has been a professor at the École polytechnique fédérale de Lausanne (EPFL) since 1982 . From 2004 to 2005 he was President of the Swiss Mathematical Society. He is an honorary doctorate from the University of Helsinki (2003).

Fonts

  • About an inequality by Cheeger , Math. Z., Volume 158, 1978, pp. 245-252
  • Isospectral Riemann Surfaces , Annales Institut Fourier (Grenoble), Volume 36, 1986, pp. 167-192, online
  • Cayley graphs and planar isospectral domains , in Toshikazu Sunada (Ed.), Geometry and Analysis on Manifolds , Springer Verlag, Lecture Notes in Mathematics, Volume 1339, 1988, pp. 64-77
  • Geometry and Spectra of compact Riemann Surfaces , Birkhäuser 1992
  • with Hermann Karcher : Gromov`s almost flat manifolds , Asterisque 1981, No. 81, p. 148
  • with John Horton Conway , Peter Doyle, Klaus-Dieter Semmler: Some planar isospectral domains , International Mathematical Research Notes, Volume 9, p. 391, pdf

Web links

Individual evidence

  1. ↑ Jürg Peter Buser in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / name used
  2. ^ Barry Cipra: You can´t always hear the shape of a drum , in What´s happening in the Mathematical Sciences , Volume 1, American Mathematical Society 1993, p. 15
personal data
SURNAME Buser, Juerg Peter
ALTERNATIVE NAMES Buser, Peter; Buser, Jörg Peter
BRIEF DESCRIPTION Swiss mathematician
DATE OF BIRTH February 27, 1946
PLACE OF BIRTH Basel-Land