World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
4633
World Ranking
2800
National Ranking
1147

William C. Troy 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 William C. Troy 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: 113 publications — 17th percentile

17% of scientists in this discipline score the same or lower.

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

William C. Troy 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 William C. Troy 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: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

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

Overview

William C. Troy is affiliated with the University of Pittsburgh in the United States and has contributed to research primarily in the fields of Physics and Astronomy as well as Engineering. Their work often intersects various subfields including Statistical and Nonlinear Physics, Mathematical Physics, Mechanical Engineering, Computer Networks and Communications, and Molecular Biology.

Their research topics encompass several advanced scientific areas, notably:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Nonlinear Dynamics and Pattern Formation
  • Photosynthetic Processes and Mechanisms
  • Photoreceptor and Optogenetics Research
  • Nonlinear Photonic Systems
  • Black Holes and Theoretical Physics

William C. Troy has published multiple research papers across well-regarded scientific journals and repositories. These include:

  • "Logarithmic spiral solutions of the Kopell-Howard lambda-omega reaction-diffusion equations," 2022, published in Chaos An Interdisciplinary Journal of Nonlinear Science
  • "Logarithmic and hyperbolic spirals associated with Schrodinger's equation," 2022, published in Journal of Differential Equations
  • "Zero Energy Self-Similar Solutions Describing Singularity Formation In The Nonlinear Schrodinger Equation In Dimension N=3," 2022, available on arXiv (Cornell University)
  • "Sparks of Quantum Advantage and Rapid Retraining in Machine Learning," 2024, available on arXiv (Cornell University)
  • "New insights into the behavior of the classic aging spring problem," 2025, published in Discrete and Continuous Dynamical Systems (co-authored by Edward V. Krisner)

Frequently, William C. Troy collaborates with other researchers, including Edward V. Krisner.

Their publications have appeared in several venues with notable frequency, including:

  • arXiv (Cornell University)
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • Journal of Differential Equations
  • Discrete and Continuous Dynamical Systems

Best Publications

  • Spiral Waves in Disinhibited Mammalian Neocortex

    Xiaoying Huang;William C. Troy;Qian Yang;Hongtao Ma

  • Spatial Patterns: Higher Order Models in Physics and Mechanics

    L. A Peletier;W. C Troy

  • MULTIPLE BUMPS IN A NEURONAL MODEL OF WORKING MEMORY

    Carlo R. Laing;William C. Troy;Boris Gutkin;G. Bard Ermentrout

  • Symmetry properties in systems of semilinear elliptic equations

    William C. Troy

  • PDE Methods for Nonlocal Models

    Carlo R. Laing;William C. Troy

  • Uniqueness of flow of a second-order fluid past a stretching sheet

    William C. Troy;Edward A. Overman;G. B. Ermentrout;James P. Keener

  • An existence theorem for the flow of a non-newtonian fluid past an infinite porous plate

    K.R. Rajagopal;A.Z. Szeri;W. Troy

  • EXACT HOMOCLINIC AND HETEROCLINIC SOLUTIONS OF THE GRAY-SCOTT MODEL FOR AUTOCATALYSIS*

    J. K. Hale;L. A. Peletier;William C. Troy

  • Stationary solutions of a fourth-order nonlinear diffusion equation

    L. A. Peletier;R. C. A. M. Van der Vorst;W. C. Troy

  • Spatial patterns described by the extended Fisher-Kolmogorov equation: periodic solutions

    L. A. Peletier;W. C. Troy

  • Radial solutions of Δu+f(u)= 0 with prescribed numbers of zeros

    Kevin McLeod;W.C Troy;W.C Troy;F.B Weissler;F.B Weissler;F.B Weissler

  • Solutions of third-order differential equations relevant to draining and coating flows

    William C. Troy

  • A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation

    L. A. Peletier;W. C. Troy

  • Bursting phenomena in a simplified Oregonator flow system model

    John Rinzel;William C. Troy

  • Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: kinks

    L. A. Peletier;W. C. Troy

  • Two-bump solutions of Amari-type models of neuronal pattern formation

    Carlo R. Laing;William C. Troy

  • Chaotic Spatial Patterns Described by the Extended Fisher–Kolmogorov Equation

    L.A. Peletier;W.C. Troy

  • Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation

    G. J. B. van den Berg;L. A. Peletier;W. C. Troy

  • The bifurcation of periodic solutions in the Hodgkin-Huxley equations

    William C. Troy

  • The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction☆

    William C Troy;William C Troy

Frequent Co-Authors

Lambertus A. Peletier
Lambertus A. Peletier Leiden University
John Rinzel
John Rinzel New York University
G. Bard Ermentrout
G. Bard Ermentrout University of Pittsburgh
Kumbakonam R. Rajagopal
Kumbakonam R. Rajagopal Texas A&M University
Xinfu Chen
Xinfu Chen University of Pittsburgh
Mehrdad Massoudi
Mehrdad Massoudi United States Department of Energy
James P. Keener
James P. Keener University of Utah
Jonathan E. Rubin
Jonathan E. Rubin University of Pittsburgh
Steven J. Schiff
Steven J. Schiff Yale University
Boris Gutkin
Boris Gutkin École Normale Supérieure

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