World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
14164
World Ranking
1420
National Ranking
627

Gregory Beylkin 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 Gregory Beylkin 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: 141 publications — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Gregory Beylkin 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 Gregory Beylkin 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: 45 D-Index — 61st percentile

61% 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 - SIAM Fellow For the design and creation of fast numerical algorithms and seminal theory for linearized inverse problems.
  • 2013 - Fellow of the American Mathematical Society

Overview

Gregory Beylkin is affiliated with the University of Colorado Boulder in the United States. Their research spans multiple disciplines primarily within physics and mathematics, with a strong focus on numerical methods and quantum chemistry.

The scientist has contributed significantly to areas such as atomic and molecular physics, optics, numerical analysis, spectroscopy, biomedical engineering, and statistical and nonlinear physics.

The main research topics covered in their work include:

  • Spectroscopy and Quantum Chemical Studies
  • Spectroscopy and Laser Applications
  • Optical Polarization and Ellipsometry
  • Advanced Chemical Physics Studies
  • Scientific Research and Discoveries
  • Electromagnetic Scattering and Analysis
  • Mathematical Functions and Polynomials

Gregory Beylkin has authored papers published in various venues, with a notable presence in arXiv (Cornell University) and a range of peer-reviewed journals. Key publication venues include:

  • arXiv (Cornell University)
  • Journal of Chemical Theory and Computation
  • Computational and Theoretical Chemistry
  • Applied and Computational Harmonic Analysis
  • The Journal of Chemical Physics

Selected papers authored or co-authored by Beylkin are:

  • "On representations of the Helmholtz Green's function," 2024, Applied and Computational Harmonic Analysis
  • "Fast Exchange with Gaussian Basis Set Using Robust Pseudospectral Method," 2022, Journal of Chemical Theory and Computation
  • "Real-space quasi-relativistic quantum chemistry," 2020, Computational and Theoretical Chemistry
  • "Efficient evaluation of two-center Gaussian integrals in periodic systems," 2020, arXiv (Cornell University)
  • "Fast exchange with Gaussian basis set using robust pseudospectral method," 2022, arXiv (Cornell University)

Frequent co-authors collaborating with Beylkin include:

  • Sandeep Sharma
  • Alec F. White
  • Joel Anderson
  • Robert J. Harrison

Throughout their career, Gregory Beylkin has received recognition from professional organizations. Awards include:

  • SIAM Fellow (2016) for contributions to fast numerical algorithms and theory for linearized inverse problems
  • Fellow of the American Mathematical Society (2013)

Best Publications

  • Fast wavelet transforms and numerical algorithms I

    G. Beylkin;R. Coifman;V. Rokhlin

  • On the representation of operators in bases of compactly supported wavelets

    G. Beylkin

  • Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform

    G. Beylkin

  • Discrete radon transform

    G. Beylkin

  • Wavelet-like bases for the fast solutions of second-kind integral equations

    B. Alpert;G. Beylkin;R. Coifman;V. Rokhlin

  • A new slant on seismic imaging: Migration and integral geometry

    D. Miller;M. Oristaglio;G. Beylkin

  • On the Fast Fourier Transform of Functions with Singularities

    G. Beylkin

  • Algorithms for Numerical Analysis in High Dimensions

    Gregory Beylkin;Martin J. Mohlenkamp

  • Linearized inverse scattering problems in acoustics and elasticity

    G. Beylkin;R. Burridge

  • On approximation of functions by exponential sums

    Gregory Beylkin;Lucas Monzón

  • Numerical operator calculus in higher dimensions

    Gregory Beylkin;Martin J. Mohlenkamp

  • A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs

    Gregory Beylkin;James M. Keiser;Lev Vozovoi

  • Adaptive solution of partial differential equations in multiwavelet bases

    B. Alpert;G. Beylkin;D. Gines;L. Vozovoi

  • Multiresolution quantum chemistry: basic theory and initial applications.

    Robert J. Harrison;George I. Fann;Takeshi Yanai;Zhengting Gan

  • Multiresolution representations using the autocorrelation functions of compactly supported wavelets

    N. Saito;G. Beylkin

  • The inversion problem and applications of the generalized radon transform

    Gregory Beylkin

  • Efficient solution of Poisson's equation with free boundary conditions

    Luigi Genovese;Thierry Deutsch;Alexey Neelov;Stefan Goedecker

  • On the Adaptive Numerical Solution of Nonlinear Partial Differential Equations in Wavelet Bases

    Gregory Beylkin;James M. Keiser

  • Approximation by exponential sums revisited

    Gregory Beylkin;Lucas Monzón

  • A Multiresolution Strategy for Numerical Homogenization

    M.E. Brewster;G. Beylkin

Frequent Co-Authors

Robert J. Harrison
Robert J. Harrison Murdoch University
Ronald R. Coifman
Ronald R. Coifman Yale University
Takeshi Yanai
Takeshi Yanai Nagoya University
Vladimir Rokhlin
Vladimir Rokhlin Yale University
Amir Averbuch
Amir Averbuch Tel Aviv University
Mark J. Ablowitz
Mark J. Ablowitz University of Colorado Boulder
Erkki Somersalo
Erkki Somersalo Case Western Reserve University
Petros Drineas
Petros Drineas Purdue University West Lafayette
Robert J. Plemmons
Robert J. Plemmons Wake Forest University
Kaspar Willam
Kaspar Willam University of Houston

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