Steven Zelditch

Steven "Steve" Morris Zelditch (born 13 September 1953) is an American mathematician, specializing in global analysis, complex geometry, and mathematical physics (e.g. quantum chaos).[1]

Steve Zelditch, Berkeley 1986

Zelditch received in 1975 from Harvard University his bachelor's degree in mathematics and in 1981 from the University of California, Berkeley his Ph.D. under Alan Weinstein with thesis Reconstruction of singularities of solutions for Schrödinger's equations.[2] From 1981 to 1985 Zelditch was Ritt Assistant Professor at Columbia University. At Johns Hopkins University he was from 1985 to 1989 an assistant Professor, from 1989 to 1992 an associate professor, and from 1992 to 2010 a professor. In 2010 he moved to Northwestern University, where he is currently Wayne and Elizabeth Jones Professor of Mathematics.[3]

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

He has done research on the spectral and scattering theory of the Laplace operator on Riemannian manifolds and especially the asymptotic and distribution of its eigenfunctions (e.g. quantum ergodicity in billiard geometries). He has also done research on the inverse spectral problem. (This problem is described in Can you hear the shape of a drum? by Mark Kac.) Among Zelditch's other research topics are Bergman kernels, Kähler metrics, Gaussian random waves, and random metrics.

In 2002 he was an invited speaker with talk Asymptotics of polynomials and eigenfunctions at the International Congress of Mathematicians in Beijing. He was elected a Fellow of the American Mathematical Society in 2012.

In 2013, he and Xiaojun Huang shared the Stefan Bergman Prize for research done independently; Zelditch was cited for his research on the Bergman kernel.[3]

He is currently on the editorial boards of Communications in Mathematical Physics, Analysis & PDE, and the Journal of Geometric Analysis.