Dennis Hejhal

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Dennis Arnold Hejhal (born December 10, 1948 in Chicago ) is an American mathematician.

Hejhal attended the University of Chicago from 1966 (Bachelor 1970) and from 1970 Stanford University , where he received his doctorate in 1972 under Menahem Schiffer with the thesis Theta-functions, kernel functions, and Abelian integrals . He was then an assistant professor at Harvard , from 1974 associate professor at Columbia University and from 1978 professor at the University of Minnesota , where he is still today. He has also been a professor at Uppsala University since 1994 and a Fellow of the Minnesota Supercomputing Institute since 1986. He was visiting professor at Princeton in 1993 and several times (first in 1983) at the Institute for Advanced Study .

Hejhal dealt with analytic number theory, automorphic forms , the Selberg - trace formula and quantum chaos . To find new theorems, he often makes use of extensive computer calculations.

He was a Putnam Fellow in 1968 and a Sloan Research Fellow from 1972 to 1974 . In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Zeros of Epstein Zeta Functions and Supercomputers ). In 1997 he received the Goran Gustafson Prize of the Swedish Academy of Sciences and in 2005 the Eva and Lars Garding Prize. He is a member of the Swedish Academy of Sciences and a Fellow of the American Mathematical Society .

Persi Diaconis is one of his students .

Fonts

  • Theta functions, kernel functions and abelian integrals , AMS 1972
  • Eigenvalues ​​of the Laplacian for Hecke triangle groups , AMS 1992
  • Regular b-Groups, degenerating Riemann surfaces and spectral theory , AMS 1990
  • The Selberg Trace Formula for PSL (2, R) , two volumes, Springer, 1976, 1983 (third volume planned)
  • Editor with Peter Sarnak , Audrey Terras : The Selberg Trace Formula and related topics , AMS 1986 (Conference Bowdoin College 1984)
  • Editor with Martin Gutzwiller , Andrew Odlyzko , a. a .: Emerging applications of Number theory , Springer 1999

Web links

Individual evidence

  1. Dennis Hejhal in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used