Dennis Hejhal

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

Hejhal attended from 1966 University of Chicago (Bachelor 1970) and from 1970 to Stanford University, where he received his doctorate in 1972 with Menahem Schiffer. After that, he was an Assistant Professor at Harvard, in 1974 associate professor at Columbia University, and from 1978 professor at the University of Minnesota, where he still is today. In addition, since 1994 he is professor at the University of Uppsala and in 1986 a Fellow of the Minnesota Supercomputing Institute. In 1993 he was a visiting professor at Princeton and several times ( first 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 frequently makes use of extensive computer calculations.

In 1968 he was Putnam Fellow, 1972-1974 Sloan Fellow. 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 price of the Swedish Academy of Sciences and in 2005 the Eva and Lars Garding price. He is a member of the Swedish Academy of Sciences and a Fellow of the American Mathematical Society.

Among his students is one of Persi Diaconis.

Writings

• Theta functions, kernel functions and abelian integrals, AMS 1972
• Eigenvalues ​​of the Laplacian for Hecke triangle groups, AMS 1992
• 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)
• Published by Martin Gutzwiller, Andrew Odlyzko, including: Emerging applications of Number Theory, Springer 1999