Dennis Hejhal
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Dennis Arnold Hejhal (born December 10, 1948 in
Chicago (''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = Country , subdivision_name ...
) is an American mathematician. In his mathematical research he frequently uses extensive computer calculation. In 1967, as a college freshman, Hejhal scored among the top 5 in the U.S. in the
William Lowell Putnam Mathematical Competition The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...
. Hejhal graduated from the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...
in 1970 with a bachelor's degree and from Stanford University in 1972 with a PhD in mathematics under the direction of Menahem Max Schiffer. He became an assistant professor at Harvard in 1972, then in 1974 an associate professor at
Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...
and starting in 1978 a professor at the
University of Minnesota The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public land-grant research university in the Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. ...
. Additionally, he was a professor at the
Uppsala University Uppsala University ( sv, Uppsala universitet) is a public research university in Uppsala, Sweden. Founded in 1477, it is the oldest university in Sweden and the Nordic countries still in operation. The university rose to significance during ...
from 1994 to 2012 (where he has since been a professor emeritus) and a fellow of the Minnesota Supercomputing Institute since 1986. He was a guest professor at
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
in 1993 and at the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...
on several occasions since 1983. Hejhal works on analytic number theory,
automorphic forms In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G o ...
, the
Selberg trace formula In mathematics, the Selberg trace formula, introduced by , is an expression for the character of the unitary representation of a Lie group on the space of square-integrable functions, where is a cofinite discrete group. The character is given b ...
and
quantum chaos Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question that quantum chaos seeks to answer is: "What is the relationship between quantum mech ...
. From 1972 to 1974 he was a Sloan Fellow. In 1986 he was an 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 from the Swedish Academy of Sciences and in 2005 the Eva and Lars Gårding Prize. He is a member of the Swedish Royal Society of Sciences. In 2012 he became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. Among his successful former doctoral students is
Persi Diaconis Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University. He is particularly know ...
. He also supervised the undergraduate honors thesis research of James Z. Wang.


Publications

*''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)'', 2 volumes, Springer, 1976, 1983 (3rd volume planned) *Editor with
Peter Sarnak Peter Clive Sarnak (born 18 December 1953) is a South African-born mathematician with dual South-African and American nationalities. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced St ...
,
Audrey Terras Audrey Anne Terras (born September 10, 1942) is an American mathematician who works primarily in number theory. Her research has focused on quantum chaos and on various types of zeta functions. Early life and education Audrey Terras was born Sep ...
: ''The Selberg Trace Formula and related topics'', AMS 1986 (Conference, Bowdoin College 1984) *Editor with Martin Gutzwiller,
Andrew Odlyzko Andrew Michael Odlyzko (Andrzej Odłyżko) (born 23 July 1949) is a Polish-American mathematician and a former head of the University of Minnesota's Digital Technology Center and of the Minnesota Supercomputing Institute. He began his career in ...
, ''et al.''. ''Emerging applications of Number theory'', Springer 1999


References


External links


Homepage

Hejhal ''Eigenvalues of the Laplacian, quantum chaos and computation'' 1995
* {{DEFAULTSORT:Hejhal, Dennis 1948 births Living people 20th-century American mathematicians 21st-century American mathematicians University of Chicago alumni Stanford University alumni Harvard University faculty Columbia University faculty University of Minnesota faculty Academic staff of Uppsala University Princeton University faculty People from Chicago Fellows of the American Mathematical Society Mathematicians from Illinois Putnam Fellows