2026 Claude LeBrun: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	44	1626	1406	696	558	117	5650

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1626

1406

696

558

117

5650

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Claude LeBrun is a researcher affiliated with Stony Brook University in the United States. Their work is primarily situated within the field of Mathematics, with a significant focus on Geometry and Topology as well as Applied Mathematics. Other areas of study associated with their research include Astronomy and Astrophysics, Mathematical Physics, and General Health Professions.

The scientist's research topics cover a range of subjects in mathematics, particularly centered on geometry and complex manifolds, geometric analysis and curvature flows, advanced differential geometry research, and geometric and algebraic topology. Additional topics include homotopy and cohomology in algebraic topology, algebraic geometry and number theory, and holomorphic and operator theory.

Claude LeBrun has numerous publications in several notable venues. Frequent publication outlets include:

arXiv (Cornell University)
Symmetry Integrability and Geometry Methods and Applications
Communications in Analysis and Geometry
Mathematical Research Letters
International Mathematics Research Notices

Some recent papers authored or co-authored by Claude LeBrun are:

"Einstein manifolds, self-dual Weyl curvature, and conformally Kähler geometry" (2021) published in Mathematical Research Letters
"Twistors, Self-Duality, and Spin^c Structures" (2021) published in Symmetry Integrability and Geometry Methods and Applications

In addition, the researcher has collaborated with other scholars such as Olivier Biquard, Paul Gauduchon, Michael Albanese, and Christopher J. Bishop. Collaborations with Paul Gauduchon and Michael Albanese are noted for multiple joint works.

Claude LeBrun has been recognized as a Fellow of the American Mathematical Society, an honor awarded in 2013.

Best Publications

Counter-examples to the generalized positive action conjecture

Claude LeBrun

308
Citations
Explicit self-dual metrics on $\mathbb{CP}_2 \# \cdots\#\mathbb{CP}_2$

Claude LeBrun

259
Citations
Extremal Kähler metrics and complex deformation theory

C. LeBrun;S. R. Simanca

259
Citations
FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY

Claude Lebrun

257
Citations
Four-Manifolds without Einstein Metrics

Claude LeBrun

255
Citations
Spaces of complex null geodesics in complex-Riemannian geometry

Claude LeBrun

216
Citations
Strong rigidity of positive quaternion Kähler manifolds.

Claude LeBrun;Simon Salamon

216
Citations
On conformally Kähler, Einstein manifolds

Xiuxiong Chen;Claude LeBrun;Brian Weber

177
Citations
Einstein metrics and Mostow rigidity

Claude LeBrun

174
Citations
Kodaira dimension and the Yamabe problem

Claude LeBrun

164
Citations
Yamabe constants and the perturbed Seiberg–Witten equations

Claude LeBrun

157
Citations
Ricci Curvature, Minimal Volumes, and Seiberg-Witten Theory

Claude LeBrun

143
Citations
Moduli of super Riemann surfaces

Claude LeBrun;Mitchell Rothstein

132
Citations
On Einstein Manifolds of Positive Sectional Curvature

Matthew J. Gursky;Claude LeBrun

124
Citations
Zoll Manifolds and Complex Surfaces

Claude Lebrun;L.J. Mason

105
Citations
Quaternionic-Kähler manifolds and conformal geometry

Claude LeBrun

103
Citations
On the topology of self-dual 4-manifolds

Claude LeBrun

98
Citations
A KUMMER-TYPE CONSTRUCTION OF SELF-DUAL 4-MANIFOLDS

Claude LeBrun;Michael Singer

90
Citations
Twistor CR manifolds and three-dimensional conformal geometry

Claude R. LeBrun

89
Citations
Polarized 4-Manifolds, Extremal Kahler Metrics, and Seiberg-Witten Theory

Claude LeBrun

79
Citations
Kodaira Dimension and the Yamabe Problem, II

Michael Albanese;Claude LeBrun

0
Citations

Frequent Co-Authors

Lionel Mason University of Oxford

Fabrizio Catanese University of Bayreuth

Xiuxiong Chen Stony Brook University

Michael Atiyah University of Edinburgh

Michael T. Anderson Stony Brook University

Simon Salamon King's College London

External Links

Wikipedia of Claude LeBrun Personal website of Claude LeBrun

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. For those interested in leadership and applied business skills, enrolling in the best 1 year dba program online offers a streamlined path to a Doctorate in Business Administration while balancing work and study.

If finance intrigues you as a practical application of mathematical principles, a cheap masters in finance can provide critical knowledge in financial modeling and risk management without breaking the bank.

For professionals aiming to quickly enhance their managerial capabilities, the fastest mba programs online offer accelerated options that efficiently combine core business insights with quantitative skills.

Creatives and analysts looking to merge data-driven decision making with consumer engagement might consider an online marketing degree, which equips students with digital marketing techniques and market analytics.

Each of these pathways supplements a mathematics foundation with specialized expertise, helping open doors to careers in academia, finance, business leadership, or marketing analytics.