World's Best Scientists 2026 revealed!
Michael I. Weinstein

Michael I. Weinstein

D-Index & Metrics

Mathematics

D-Index
56
Citations
13762
World Ranking
727
National Ranking
361

Michael I. Weinstein publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Michael I. Weinstein sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 149 publications — 38th percentile

38% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Michael I. Weinstein D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Michael I. Weinstein sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 56 D-Index — 80th percentile

80% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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