Avy Soffer

Avraham "Avy" Soffer (born before 1976) is an Israeli mathematical physicist.

Soffer studied physics and mathematics at Tel Aviv University with a bachelor's degree in 1976, a master's degree in 1980 and a doctorate in 1984. He was a post-doctoral student at the Weizmann Institute and Caltech . In 1987 he became Assistant Professor at Princeton University , Associate Professor in 1993 and Professor at Rutgers University in 2000 , where he is Distinguished Professor.

In 2003/04 he was at the Institute for Advanced Study and he was visiting professor at Technion , IHES , the University of Paris-Süd and the École Polytechnique .

In 1993, together with Israel Michael Sigal, independently of Jan Dereziński, he proved the asymptotic completeness for long-range potentials and in 1987 with Sigal for short-range potentials. In addition to scattering theory, he also deals with nonlinear partial differential equations (e.g. asymptotic multi-channel scattering behavior of wave equations with the simultaneous presence of solitons and radiation).

In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid (Soliton Dynamics and Scattering). In 1988/89 he was a Sloan Research Fellow .

Fonts (selection)

with IM Sigal: The N-particle Scattering Problem-Asymptotic Completeness for Short Range Systems, Annals of Math., Volume 126, 1987, pp. 35-108.
with IM Sigal and A. Soffer, Long Range Many Body Scattering Asymptotic Clustering for Coulomb Type Potentials, Inventiones Mathematics, Volume 99, 1990, pp. 115-143.
On the Many Body Problems in Quantum Mechanics, in: Méthodes Semiclassiques, Astérisque, 207, 1, 1992, 109-152.
with IM Sigal and A. Soffer, Asymptotic Completeness for Particles Systems with Coulomb-type Interactions, Duke Math. J., Volume 71, 1993, pp. 243-298.
with IM Sigal: Asymptotic completeness of N-particle long-range scattering. J. Amer. Math. Soc., Vol. 7, 1994, pp. 307-334
with Michael I. Weinstein : Multichannel nonlinear scattering for nonintegrable equations. Comm. Math. Phys. 133: 119-146 (1990). Part II: The case of anisotropic potentials and data. J. Differential Equations, 98: 376-390 (1992).
with M. Weinstein: Nonautonomous Hamiltonians. J. Statist. Phys. 93 (1998),
with M. Weinstein: Time Dependent Resonance Theory. Geom.Funct. Anal. 8: 1086-1128 (1998).
with M. Weinstein: Resonances, Radiation Damping and Instability in Hamiltonian nonlinear wave equation. Invent. Math. 136: 9-74 (1999).
with M. Weinstein: Ionization and scattering for short lived potentials. Lett. Math. Phys. 48 (4): 339-352 (1999).
with M. Weinstein: Selection of the Ground state for nonlinear Schrödinger Equations. Rev. Math. Phys. 16: 977-1071 (2004).
with M. Weinstein: Theory of Nonlinear Dispersive Waves and Selection of the Ground state. Phys. Rev. Lett. 95 (2005), 213905.
with Igor Rodnianski , W. Schlag: Dispersive analysis of charge transfer models. Comm. Pure Appl. Math. 58: 149-216 (2005).
with Rodnanski, Schlag: A symptotic stability of N-soliton states of NLS. Arxiv 2003

Web links

personal data
SURNAME	Soffer, Avy
ALTERNATIVE NAMES	Soffer, Avraham
BRIEF DESCRIPTION	Israeli mathematical physicist
DATE OF BIRTH	before 1976