World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
6780
World Ranking
2185
National Ranking
922

Robert Ghrist 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 Robert Ghrist 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: 116 publications — 19th percentile

19% of scientists in this discipline score the same or lower.

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

Robert Ghrist 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 Robert Ghrist 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: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

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

Overview

Robert Ghrist is affiliated with the University of Pennsylvania in the United States and works primarily in the field of Computer Science. Their research spans multiple subfields, including Computational Theory and Mathematics, Statistical and Nonlinear Physics, Mathematical Physics, Computer Networks and Communications, and Artificial Intelligence.

Their research topics focus extensively on Topological and Geometric Data Analysis, with involvement in Homotopy and Cohomology in Algebraic Topology, Opinion Dynamics and Social Influence, Complex Network Analysis Techniques, Computational Geometry and Mesh Generation, Advanced Neuroimaging Techniques and Applications, and Distributed Control Multi-Agent Systems.

Robert Ghrist has published papers in a variety of venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Leibniz-Zentrum für Informatik (Schloss Dagstuhl)
  • SIAM Journal on Applied Mathematics
  • Journal of Applied and Computational Topology
  • 2022 IEEE 61st Conference on Decision and Control (CDC)

Recent papers authored or co-authored by Ghrist illustrate a range of topics and collaborations. Notable works include:

  • "Slice, Simplify and Stitch: Topology-Preserving Simplification Scheme for Massive Voxel Data" (2023) published at Leibniz-Zentrum für Informatik (Schloss Dagstuhl)
  • "Cellular sheaves of lattices and the Tarski Laplacian" (2022) published in Homology Homotopy and Applications
  • "Opinion Dynamics on Discourse Sheaves" (2021) published in SIAM Journal on Applied Mathematics
  • "Persistent extensions and analogous bars: data-induced relations between persistence barcodes" (2023) published in Journal of Applied and Computational Topology
  • "Diffusion of Information on Networked Lattices by Gossip" (2022) presented at 2022 IEEE 61st Conference on Decision and Control (CDC)

Frequent collaborators include:

  • Hans Riess
  • Iris H. R. Yoon
  • Zoe Cooperband
  • Chad Giusti
  • Jakob Hansen

Best Publications

  • Barcodes: The persistent topology of data

    Robert Ghrist

  • Coverage in sensor networks via persistent homology

    Vin de Silva;Robert Ghrist

  • Two's company, three (or more) is a simplex

    Chad Giusti;Robert Ghrist;Danielle S. Bassett

  • Coverage and hole-detection in sensor networks via homology

    Robert Ghrist;Abubakr Muhammad

  • Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology

    V. De Silva;R. Ghrist

  • Elementary Applied Topology

    Robert Ghrist

  • Knots and Links in Three-Dimensional Flows

    Robert W. Ghrist;Philip J. Holmes;Michael C. Sullivan

  • Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture

    John Etnyre;Robert Ghrist

  • Two's company, three (or more) is a simplex: Algebraic-topological tools for understanding higher-order structure in neural data

    Chad Giusti;Robert Ghrist;Danielle S. Bassett

  • Blind Swarms for Coverage in 2-D

    Vin de Silva;Robert Ghrist;Abubakr Muhammad

  • Persistent Homology for Path Planning in Uncertain Environments

    Subhrajit Bhattacharya;Robert Ghrist;Vijay Kumar

  • Toward a spectral theory of cellular sheaves

    Jakob Hansen;Robert Ghrist

  • Multi-robot coverage and exploration on Riemannian manifolds with boundaries

    Subhrajit Bhattacharya;Robert Ghrist;Vijay Kumar

  • Graph grammars for self assembling robotic systems

    E. Klavins;R. Ghrist;D. Lipsky

  • Target Enumeration via Euler Characteristic Integrals

    Yuliy Baryshnikov;Robert Ghrist

  • Branched two-manifolds supporting all links

    Robert W. Ghrist

  • Vietoris–Rips Complexes of Planar Point Sets

    Erin W. Chambers;Vin de Silva;Jeff Erickson;Robert Ghrist

  • Finding Topology in a Factory: Configuration Spaces

    Aaron Abrams;Robert Ghrist

  • Contact Topology and Hydrodynamics

    J. Etnyre;R. Ghrist

  • The geometry and topology of reconfiguration

    R. Ghrist;V. Peterson

  • State Complexes for Metamorphic Robots

    Aaron Abrams;Robert Ghrist

Frequent Co-Authors

John B. Etnyre
John B. Etnyre Georgia Institute of Technology
Daniel E. Koditschek
Daniel E. Koditschek University of Pennsylvania
Steven M. LaValle
Steven M. LaValle University of Oulu
Vijay Kumar
Vijay Kumar University of Pennsylvania
Danielle S. Bassett
Danielle S. Bassett University of Pennsylvania
Eric Klavins
Eric Klavins University of Washington
Philip Holmes
Philip Holmes Princeton University
George J. Pappas
George J. Pappas University of Pennsylvania
Jeff Erickson
Jeff Erickson University of Illinois at Urbana-Champaign
Alejandro Ribeiro
Alejandro Ribeiro University of Pennsylvania

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