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D-Index & Metrics

Mathematics

D-Index
39
Citations
6780
World Ranking
2184
National Ranking
921

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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