World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
23541
World Ranking
808
National Ranking
393

Leslie Greengard 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 Leslie Greengard 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: 176 publications — 52nd percentile

52% of scientists in this discipline score the same or lower.

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

Leslie Greengard 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 Leslie Greengard 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: 54 D-Index — 78th percentile

78% 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

  • 2016 - Fellow of the American Academy of Arts and Sciences
  • 2014 - John von Neumann Lecturer
  • 2009 - SIAM Fellow For creation of the Fast Multipole Method and other fast algorithms.
  • 2006 - Member of the National Academy of Engineering For work on the development of algorithms and software for fast multipole methods.
  • 2006 - Member of the National Academy of Sciences
  • 2001 - Steele Prize for Seminal Contribution to Research

Overview

Leslie Greengard is affiliated with New York University in the United States. Their research spans multiple areas within physics, engineering, and computational methods, with a significant focus on numerical algorithms and physical simulations.

The primary fields of study for Greengard include Physics and Astronomy as well as Engineering. More specific subfields covered in their work are Atomic and Molecular Physics, and Optics; Electrical and Electronic Engineering; Radiation; Computational Theory and Mathematics; and Biomedical Engineering.

Greengard's research topics include:

  • Electromagnetic Scattering and Analysis
  • Electromagnetic Simulation and Numerical Methods
  • Advanced X-ray Imaging Techniques
  • Electron and X-Ray Spectroscopy Techniques
  • Geophysical Methods and Applications
  • Microwave Imaging and Scattering Analysis
  • Numerical methods in inverse problems

The scientist has published extensively, with recent papers including:

  • "Differentiable Cosmological Simulation with the Adjoint Method", 2024, published in The Astrophysical Journal Supplement Series
  • "Geometry of the Phase Retrieval Problem", 2022, published by Cambridge University Press eBooks
  • "pmwd: A Differentiable Cosmological Particle-Mesh $N$-body Library", 2022, on arXiv (Cornell University)
  • "A fast spectral method for electrostatics in doubly periodic slit channels", 2021, in The Journal of Chemical Physics
  • "Geometry of the phase retrieval problem", 2020, in Inverse Problems

The most frequent publication venues for Greengard's work include:

  • arXiv (Cornell University)
  • Inverse Problems
  • Journal of Computational Physics
  • Nature Computational Science
  • Communications on Pure and Applied Mathematics

Collaboration is a notable aspect of Greengard's career, with frequent co-authors being:

  • Charles L. Epstein
  • Jeremy F. Magland
  • Alexander H. Barnett
  • Manas Rachh
  • Shidong Jiang

Leslie Greengard has received several awards and distinctions, including:

  • Fellow of the American Academy of Arts and Sciences (2016)
  • John von Neumann Lecturer (2014)
  • SIAM Fellow (2009) for creation of the Fast Multipole Method and other fast algorithms
  • Member of the National Academy of Engineering (2006) for development of algorithms and software for fast multipole methods
  • Member of the National Academy of Sciences (2006)
  • Steele Prize for Seminal Contribution to Research (2001)

Best Publications

  • A fast algorithm for particle simulations

    L. Greengard;V. Rokhlin

  • The Rapid Evaluation of Potential Fields in Particle Systems

    Leslie Frederick Greengard

  • A new version of the Fast Multipole Method for the Laplace equation in three dimensions

    Leslie Greengard;Vladimir Rokhlin

  • A Fast Adaptive Multipole Algorithm for Particle Simulations

    J. Carrier;L. Greengard;V. Rokhlin;V. Rokhlin

  • Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions

    H. Cheng;L. Greengard;V. Rokhlin

  • Accelerating the Nonuniform Fast Fourier Transform

    Leslie Greengard;June Yub Lee

  • The Fast Gauss Transform.

    Leslie Greengard;John Strain

  • Fast Direct Methods for Gaussian Processes

    Sivaram Ambikasaran;Daniel Foreman-Mackey;Leslie Greengard;David W. Hogg

  • Spectral Deferred Correction Methods for Ordinary Differential Equations

    Alok Dutt;Leslie Greengard;Vladimir Rokhlin

  • Fast Algorithms for Classical Physics

    Leslie Greengard

  • A short course on fast multipole methods

    R Beatson;Leslie Greengard

  • A wideband fast multipole method for the Helmholtz equation in three dimensions

    Hongwei Cheng;William Y. Crutchfield;Zydrunas Gimbutas;Leslie F. Greengard

  • Accelerating fast multipole methods for the Helmholtz equation at low frequencies

    L. Greengard;Jingfang Huang;V. Rokhlin;S. Wandzura

  • Quadrature by expansion

    Andreas Klöckner;Alexander Barnett;Leslie Greengard;Michael O'Neil

  • Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation

    Bradley Alpert;Leslie Greengard;Thomas Hagstrom

  • Short Note: The type 3 nonuniform FFT and its applications

    June-Yub Lee;Leslie Greengard

  • A Parallel Version of the Fast Multipole Method

    Leslie Greengard;William D. Gropp

  • A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization

    Kenneth L. Ho;Leslie Greengard

  • Fast direct solvers for integral equations in complex three-dimensional domains

    Leslie Greengard;Denis Gueyffier;Per Gunnar Martinsson;Vladimir Rokhlin

  • Spectral integration and two-point boundary value problems

    L. Greengard

Frequent Co-Authors

Vladimir Rokhlin
Vladimir Rokhlin Yale University
Thomas Hagstrom
Thomas Hagstrom Southern Methodist University
Loren M. Frank
Loren M. Frank University of California, San Francisco
Denis Zorin
Denis Zorin New York University
David E. Keyes
David E. Keyes King Abdullah University of Science and Technology
Scott Klasky
Scott Klasky Oak Ridge National Laboratory
William Gropp
William Gropp University of Illinois at Urbana-Champaign
Angus C. Nairn
Angus C. Nairn Yale University
David W. Hogg
David W. Hogg Max Planck Society
Clare P. Grey
Clare P. Grey University of Cambridge

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