Steven Zelditch

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Steve Zelditch, Berkeley 1986

Steven Morris Zelditch , also Steve Zelditch, (born September 13, 1953 ) is an American mathematician who deals with global analysis with application to quantum chaos , with complex geometry and mathematical physics.

Zelditch studied at Harvard University with a bachelor's degree in mathematics in 1975 and received his doctorate in 1981 from the University of California, Berkeley with Alan Weinstein (Reconstruction of singularities of solutions for Schrödinger's equations). As a post-graduate student , he was Ritt Assistant Professor at Columbia University and Berkeley. In 1985 he became Assistant Professor, 1989 Associate Professor and 1992 Professor of Mathematics at Johns Hopkins University . From 2010 he was a professor at Northwestern University . He is Wayne and Elizabeth Jones Professor there.

In 1987/88 he was at MIT and in 1988 visiting professor at MSRI .

He deals with the spectral and scattering theory of the Laplace operator on Riemann manifolds and especially the asymptotics and distribution of its eigenfunctions (e.g. quantum ergodicity in billiard geometries) and the inverse spectral problem ( Can you hear the shape of a drum? According to Mark Kac ). Other research topics are Bergman kernels, Kähler metrics, Gaussian random waves and random metrics.

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing ( Asymptotics of polynomials and eigenfunctions ). He is a fellow of the American Mathematical Society .

In 2013 he and Xiaojun Huang received the Stefan Bergman Prize, Zelditch especially for work on the Bergman core.

He is co-editor of Communications in Mathematical Physics, Analysis & PDE, and the Journal of Geometric Analysis.

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Individual evidence

  1. Steven Zelditch in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Notices AMS, April 2014, pdf