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D-Index & Metrics

Mathematics

D-Index
38
Citations
7640
World Ranking
2304
National Ranking
975

Christopher Heil 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 Christopher Heil 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: 115 publications — 18th percentile

18% of scientists in this discipline score the same or lower.

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

Christopher Heil 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 Christopher Heil 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

Christopher Heil is affiliated with the Georgia Institute of Technology in the United States. Their research focuses primarily on Mathematics and Computer Science, with prominent subfields including Applied Mathematics, Mathematical Physics, Signal Processing, Computer Vision and Pattern Recognition, and Cellular and Molecular Neuroscience.

The main topics addressed in their body of work encompass Mathematical Analysis and Transform Methods, Digital Filter Design and Implementation, Advanced Banach Space Theory, Image and Signal Denoising Methods, Axon Guidance and Neuronal Signaling, Mathematical and Theoretical Analysis, as well as Advanced Harmonic Analysis Research.

Christopher Heil has contributed to several academic journals and repositories. Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Journal of Fourier Analysis and Applications
  • Journal of Mathematical Analysis and Applications

Among their recent publications are:

  • "Convergence of Frame Series," 2023, Journal of Fourier Analysis and Applications
  • "ℓ1-bounded sets," 2024, Journal of Mathematical Analysis and Applications
  • "Convergence of frame series," 2022, arXiv (Cornell University)
  • "ℓ¹-Bounded Sets," 2023, arXiv (Cornell University)
  • "Overcomplete Reproducing Pairs," 2023, arXiv (Cornell University)

Their work frequently involves collaboration with several co-authors, most notably:

  • Pu-Ting Yu
  • Logan Hart
  • I. Norman Katz
  • Michael Northington V
  • Michael Northington

Best Publications

  • Continuous and discrete wavelet transforms

    C. Heil;D. F. Walnut

  • The application of multiwavelet filterbanks to image processing

    V. Strela;P.N. Heller;G. Strang;P. Topiwala

  • A basis theory primer

    Christopher Heil

  • History and Evolution of the Density Theorem for Gabor Frames

    Christopher Heil

  • MODULATION SPACES AND PSEUDODIFFERENTIAL OPERATORS

    Karlheinz Gröchenig;Christopher Heil

  • Density of Gabor Frames

    Ole Christensen;Baiqiao Deng;Christopher Heil

  • Differentiation and the Balian-Low Theorem

    John J. Benedetto;Christopher Heil;David F. Walnut

  • Approximation by translates of refinable functions

    Christopher Heil;Gilbert Strang;Vasily Strela

  • Perturbations of Banach Frames and Atomic Decompositions

    Oel Christensen;Christopher Heil

  • An Introduction to Weighted Wiener Amalgams

    Christopher Heil

  • Density, Overcompleteness, and Localization of Frames. I. Theory

    Radu Balan;Peter G. Casazza;Christopher Heil;Zeph Landau

  • Perturbation of Banach Frames and Atomic Decomposition

    Ole Christensen;C. Heil

  • Characterizations of Scaling Functions: Continuous Solutions

    David Colella;Christopher Heil

  • Density, overcompleteness, and localization of frames

    Radu Balan;Peter Casazza;Christopher Heil;Zeph Landau

  • Accuracy of Lattice Translates of Several Multidimensional Refinable Functions

    Carlos Cabrelli;Christopher Heil;Ursula Molter

  • Density, Overcompleteness, and Localization of Frames. II. Gabor Systems

    Radu Balan;Peter G. Casazza;Christopher Heil;Zeph Landau

  • Self-similarity and Multiwavelets in Higher Dimensions

    Carlos A. Cabrelli;Christopher Heil;Ursula M. Molter

  • Deficits and Excesses of Frames

    Radu V. Balan;Peter G. Casazza;Christopher Heil;Zeph Landau

  • Fundamental Papers in Wavelet Theory

    Christopher Heil;David F. Walnut

  • Linear independence of time-frequency translates

    Christopher Heil;Jayakumar Ramanathan;Pankaj Topiwala

  • Harmonic Analysis and Applications

    Christopher Heil

Frequent Co-Authors

Peter G. Casazza
Peter G. Casazza University of Missouri
Karlheinz Gröchenig
Karlheinz Gröchenig University of Vienna
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
John J. Benedetto
John J. Benedetto University of Maryland, College Park
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Ole Christensen
Ole Christensen Technical University of Denmark
Akram Aldroubi
Akram Aldroubi Vanderbilt University
Ingrid Daubechies
Ingrid Daubechies Duke University
Deguang Han
Deguang Han University of Central Florida

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