2026 Robert L. Bryant: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2444	2170	1026	858	92	8100

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2444

2170

1026

858

8100

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
2007 - Member of the National Academy of Sciences
2002 - Fellow of the American Academy of Arts and Sciences

Overview

Robert L. Bryant is affiliated with Duke University in the United States and works primarily in the fields of mathematics and physics and astronomy. Their research spans several subfields, including applied mathematics, astronomy and astrophysics, geometry and topology, mathematical physics, and nuclear and high energy physics.

Their main topics of study cover a range of areas within mathematical sciences:

Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Geometry and complex manifolds
Black Holes and Theoretical Physics
Advanced Numerical Analysis Techniques
Advanced Algebra and Geometry
Mathematical Dynamics and Fractals

Robert L. Bryant has contributed numerous research papers, including the following recent publications:

"Geodesic behavior for Finsler metrics of constant positive flag curvature on S²" (2021), published in the Journal of Differential Geometry
"S.-S. Chern's study of almost-complex structures on the six-sphere" (2021), published in the International Journal of Mathematics
"A circle quotient of a G2 cone" (2020), published in Differential Geometry and its Applications
"Notes on spinors in low dimension" (2020), published on arXiv (Cornell University)
"Flat Metrics with a Prescribed Derived Coframing" (2020), published in Symmetry Integrability and Geometry Methods and Applications

The scientist frequently publishes in venues such as:

Notices of the American Mathematical Society
arXiv (Cornell University)
International Journal of Mathematics
Symmetry Integrability and Geometry Methods and Applications
Pure and Applied Mathematics Quarterly

Collaborations have been a notable part of their research career. Frequent co-authors include:

Wolfgang Ziller
Jeff Cheeger
Phillip Griffiths
Shing-Tung Yau
Nigel Hitchin

Throughout their career, Robert L. Bryant has received several honors:

Fellow of the American Mathematical Society (2013)
Member of the National Academy of Sciences (2007)
Fellow of the American Academy of Arts and Sciences (2002)

Best Publications

Exterior Differential Systems

Robert L. Bryant;Shiing-Shen Chern;Robert B. Gardner;Phillip Griffiths

1417
Citations
Metrics with exceptional holonomy

Robert L. Bryant

716
Citations
On the construction of some complete metrics with exceptional holonomy

Robert L. Bryant;Simon M. Salamon

666
Citations
A duality theorem for Willmore surfaces

Robert L. Bryant

527
Citations
Conformal and minimal immersions of compact surfaces into the 4-sphere

Robert L. Bryant

368
Citations
Rigidity of integral curves of rank 2 distributions.

Robert L. Bryant;Lucas Hsu

291
Citations
Submanifolds and special structures on the octonians

Robert L. Bryant

250
Citations
Reduction for Constrained Variational Problems and κ 2 2 ds

Robert Bryant;Phillip Griffiths

230
Citations
Bochner-Kahler metrics

Robert Bryant

188
Citations
Pseudo-Reimannian metrics with parallel spinor fields and vanishing Ricci tensor

Robert L. Bryant

153
Citations
An introduction to Lie groups and symplectic geometry

R Bryant

150
Citations
Metrisability of two-dimensional projective structures

Robert L. Bryant;Maciej Dunajski;Michael Eastwood

146
Citations
Projectively flat Finsler 2-spheres of constant curvature

Robert L. Bryant

138
Citations
Characteristic cohomology of differential systems. I. General theory

Robert L. Bryant;Phillip A. Griffiths

135
Citations
Some Observations on the Infinitesimal Period Relations for Regular Threefolds with Trivial Canonical Bundle

Robert L. Bryant;Phillip A. Griffiths

125
Citations
Minimal surfaces of constant curvature in ⁿ

Robert L. Bryant

115
Citations
Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

Robert L. Bryant;Phillip Griffiths;Daniel Andrew Grossman

111
Citations
Lie groups and twistor spaces

Robert L. Bryant

111
Citations
Characteristic cohomology of differential systems II: Conservation laws for a class of parabolic equations

Robert L. Bryant;Phillip A. Griffiths

109
Citations
Some remarks on G_2-structures

Robert L. Bryant

60
Citations
Linear Differential Operators

Robert L. Bryant;S. S. Chern;Robert B. Gardner;Hubert L. Goldschmidt

50
Citations

Frequent Co-Authors

Phillip A. Griffiths Institute for Advanced Study

Shiing-Shen Chern University of California, Berkeley

Eric Sharpe Virginia Tech

Simon Salamon King's College London

Wolfgang Ziller University of Pennsylvania

Michael Levitt Stanford University

Herbert Edelsbrunner Institute of Science and Technology Austria

Deane Yang New York University

External Links

Wikipedia of Robert L. Bryant Personal website of Robert L. Bryant Google Scholar page

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