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Michael I. Weinstein

Michael I. Weinstein

D-Index & Metrics

Mathematics

D-Index
56
Citations
13762
World Ranking
727
National Ranking
360

Research.com Recognitions

  • 2014 - Fellow of the American Mathematical Society For contributions to existence and stability of solitary waves, and nonlinear dispersive wave propagation.
  • 2010 - SIAM Fellow For contributions to the analysis and applications of nonlinear waves.
  • 1974 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Michael I. Weinstein is affiliated with Columbia University in the United States. Their research spans multiple disciplines within physics and mathematics, concentrating primarily on atomic and molecular physics, mathematical physics, and materials chemistry.

The main fields of study in their publications include:

  • Physics and Astronomy
  • Mathematics

More detailed subfields they have contributed to are:

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Materials Chemistry
  • Statistical and Nonlinear Physics
  • Electrical and Electronic Engineering

Key topics of research addressed in their work cover:

  • Topological Materials and Phenomena
  • Spectral Theory in Mathematical Physics
  • Graphene research and applications
  • Quantum Mechanics and Non-Hermitian Physics
  • Quantum and electron transport phenomena
  • Quantum many-body systems
  • Cold Atom Physics and Bose-Einstein Condensates

Their frequent co-authors include Amir Sagiv, Jacob Shapiro, Charles Fefferman, Joseph Kraisler, and Chen-Chih Lai.

Michael I. Weinstein has published extensively, with venues that include:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • Multiscale Modeling and Simulation
  • Advances in Mathematics
  • Journal of Nonlinear Science

Significant papers from their recent work are as follows:

  • "Landau levels in strained two-dimensional photonic crystals," 2021, Physical Review A
  • "Direct observation of Landau levels in silicon photonic crystals," 2024, Nature Photonics
  • "Edge states and the valley Hall effect," 2020, Advances in Mathematics
  • "Tight-binding reduction and topological equivalence in strong magnetic fields," 2022, Advances in Mathematics
  • "Lower Bound on Quantum Tunneling for Strong Magnetic Fields," 2022, SIAM Journal on Mathematical Analysis

Recognition for their work includes election as a Fellow of the American Mathematical Society in 2014, noted for contributions to the existence and stability of solitary waves and nonlinear dispersive wave propagation.

They were also named a SIAM Fellow in 2010 for contributions to the analysis and applications of nonlinear waves, and were a Fellow of the John Simon Guggenheim Memorial Foundation in 1974.

Best Publications

  • Nonlinear Schrödinger equations and sharp interpolation estimates

    Michael I. Weinstein

  • Lyapunov stability of ground states of nonlinear dispersive evolution equations

    Michael I. Weinstein

  • Modulational Stability of Ground States of Nonlinear Schrödinger Equations

    Michael I. Weinstein

  • Eigenvalues, and Instabilities of Solitary Waves

    Robert L. Pego;Michael I. Weinstein

  • Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation

    F. M. Christ;Michael I. Weinstein

  • Asymptotic stability of solitary waves

    Robert L. Pego;Michael I. Weinstein

  • Multichannel nonlinear scattering for nonintegrable equations

    A. Soffer;M. I. Weinstein

  • Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations

    A. Soffer;Michael I. Weinstein

  • Strong NLS soliton–defect interactions

    Roy H. Goodman;Philip J. Holmes;Michael I. Weinstein;Michael I. Weinstein

  • Cloaking via change of variables in electric impedance tomography

    R. V. Kohn;H. Shen;Michael Vogelius;M. I. Weinstein

  • Resonances, Radiation Damping and Instability in Hamiltonian Nonlinear Wave Equations

    A. Soffer;M.I. Weinstein

  • Multichannel nonlinear scattering for nonintegrable equations II. The case of anisotropic potentials and data

    A. Soffer;Michael I. Weinstein

  • On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations

    Michael I. Weinstein

  • Honeycomb lattice potentials and Dirac points

    Charles Louis Fefferman;Michael I. Weinstein

  • Excitation thresholds for nonlinear localized modes on lattices

    Michael I. Weinstein

  • Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation

    Michael I. Weinstein

  • On the bound states of the nonlinear Schrödinger equation with a linear potential

    Harvey A. Rose;Michael I. Weinstein

  • The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence

    Steven H. Schochet;Michael I. Weinstein

  • Cloaking via change of variables for the Helmholtz equation

    Robert V. Kohn;Daniel Onofrei;Michael S. Vogelius;Michael I. Weinstein

  • Oscillatory instability of traveling waves for a KdV-Burgers equation

    Robert L. Pego;Peter Smereka;Michael I. Weinstein

  • On asymptotic stability of solitary waves

    Robert L. Pego;Michael I. Weinstein

Frequent Co-Authors

Robert L. Pego
Robert L. Pego Carnegie Mellon University
Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Charles Fefferman
Charles Fefferman Princeton University
Philip Holmes
Philip Holmes Princeton University
Anthony M. Bloch
Anthony M. Bloch University of Michigan–Ann Arbor
Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Jianfeng Lu
Jianfeng Lu Duke University
Marc Spiegelman
Marc Spiegelman Lamont-Doherty Earth Observatory
Michael Vogelius
Michael Vogelius Rutgers, The State University of New Jersey
Zhigang Chen
Zhigang Chen Nankai University

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