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- Robert Ghrist

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
5,516
104
World Ranking
2366
National Ranking
1002

- Topology
- Mathematical analysis
- Geometry

His scientific interests lie mostly in Topology, Theoretical computer science, Homology, Persistent homology and Wireless sensor network. His work on Vector field as part of general Topology research is frequently linked to Seifert conjecture, thereby connecting diverse disciplines of science. His biological study spans a wide range of topics, including Graph, Graph theory, Directed acyclic graph, Rule-based machine translation and Robotic systems.

His Homology research incorporates themes from Geometric data analysis, Bounded function and Euclidean space. His study looks at the relationship between Persistent homology and topics such as Topological data analysis, which overlap with Data point and Betti number. Robert Ghrist has researched Wireless sensor network in several fields, including Node and Heuristic.

- Barcodes: The persistent topology of data (808 citations)
- Coverage in sensor networks via persistent homology (339 citations)
- Coverage and hole-detection in sensor networks via homology (252 citations)

His primary areas of investigation include Topology, Pure mathematics, Mathematical analysis, Combinatorics and Robot. His research in Topology intersects with topics in Wireless sensor network and Homology. His Homology study incorporates themes from Persistent homology and Euclidean space.

The various areas that he examines in his Mathematical analysis study include Flow and Vector field. Robert Ghrist combines subjects such as Discrete mathematics and Linear combination with his study of Combinatorics. Robert Ghrist has included themes like Theoretical computer science and Euclidean geometry in his Robot study.

- Topology (24.64%)
- Pure mathematics (17.39%)
- Mathematical analysis (15.94%)

- Pure mathematics (17.39%)
- Sheaf (7.25%)
- Persistent homology (7.25%)

Robert Ghrist spends much of his time researching Pure mathematics, Sheaf, Persistent homology, Laplace operator and Laplacian matrix. His work in the fields of Invariant overlaps with other areas such as Metric tree, A domain and Probability density function. His research integrates issues of Mathematical structure and Combinatorics, Graph in his study of Sheaf.

His work in Persistent homology addresses issues such as Topological data analysis, which are connected to fields such as Node. His Node research integrates issues from Topology, Theoretical computer science and Algebraic topology. His research on Topology concerns the broader Topology.

- The importance of the whole: Topological data analysis for the network neuroscientist (57 citations)
- Toward a spectral theory of cellular sheaves (17 citations)
- Persistent homology and Euler integral transforms (14 citations)

- Topology
- Mathematical analysis
- Artificial intelligence

His primary areas of study are Persistent homology, Algebraic topology, Pure mathematics, Topological data analysis and Artificial intelligence. His Persistent homology research includes elements of Integral transform, Characterization, Valuation, Euler's formula and Euler characteristic. His study in Algebraic topology is interdisciplinary in nature, drawing from both Node, Integral calculus, Simplicial complex and Theoretical computer science.

His Sheaf study in the realm of Pure mathematics interacts with subjects such as Homological algebra and Spectral graph theory. Robert Ghrist interconnects Homotopy and Knot in the investigation of issues within Artificial intelligence. His research in Robotics focuses on subjects like Algebra, which are connected to Euclidean geometry and Robot.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Barcodes: The persistent topology of data

Robert Ghrist.

Bulletin of the American Mathematical Society **(2007)**

1178 Citations

Coverage in sensor networks via persistent homology

Vin de Silva;Robert Ghrist.

Algebraic & Geometric Topology **(2007)**

490 Citations

Coverage and hole-detection in sensor networks via homology

Robert Ghrist;Abubakr Muhammad.

information processing in sensor networks **(2005)**

401 Citations

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

V. De Silva;R. Ghrist.

The International Journal of Robotics Research **(2006)**

270 Citations

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

Chad Giusti;Robert Ghrist;Danielle S. Bassett.

Journal of Computational Neuroscience **(2016)**

261 Citations

Elementary Applied Topology

Robert Ghrist.

**(2014)**

200 Citations

Knots and Links in Three-Dimensional Flows

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

**(1997)**

139 Citations

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

John Etnyre;Robert Ghrist.

Nonlinearity **(2000)**

129 Citations

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.

arXiv: Neurons and Cognition **(2016)**

126 Citations

Blind Swarms for Coverage in 2-D

Vin de Silva;Robert Ghrist;Abubakr Muhammad.

robotics science and systems **(2005)**

125 Citations

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Publications: 10

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