2026 Alan Weinstein: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	62	462	385	239	185	183	23149

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

462

385

239

185

183

23149

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
1992 - Fellow of the American Academy of Arts and Sciences
1985 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Alan Weinstein is affiliated with the University of California, Berkeley in the United States. Their research primarily spans the field of Mathematics, with a particular focus on several subfields including Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics, Pathology and Forensic Medicine, and Astronomy and Astrophysics.

The main topics of Alan Weinstein's work include:

Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Nonlinear Waves and Solitons
Ophthalmology and Eye Disorders
Advanced Differential Geometry Research
Advanced Algebra and Geometry
Algebraic structures and combinatorial models

Among recent publications, the following papers represent some of their contributions to mathematical research:

"Hamiltonian Lie algebroids," 2024, Memoirs of the American Mathematical Society
"A Lie-Rinehart algebra in general relativity," 2023, Pure and Applied Mathematics Quarterly
"(Co)isotropic triples and poset representations," 2021, Rendiconti del Seminario Matematico della Università di Padova
"A Lie-Rinehart algebra in general relativity," 2022, arXiv (Cornell University)
"Hamiltonian Lie algebroids over Poisson manifolds," 2023, arXiv (Cornell University)

Frequent coauthors in these research endeavors include:

Christian Blohmann
Michele Schiavina
Christian Herrmann
Jonathan Lorand
Stefano Ronchi

Alan Weinstein's work has been published in venues such as:

arXiv (Cornell University)
Memoirs of the American Mathematical Society
Pure and Applied Mathematics Quarterly
Rendiconti del Seminario Matematico della Università di Padova
Symmetry Integrability and Geometry Methods and Applications

Throughout their career, Alan Weinstein has received recognition including the following honors:

Fellow of the American Mathematical Society, 2013
Fellow of the American Academy of Arts and Sciences, 1992
Fellow of John Simon Guggenheim Memorial Foundation, 1985

Best Publications

Reduction of symplectic manifolds with symmetry

Jerrold E. Marsden;Alan J. Weinstein

2221
Citations
The local structure of Poisson manifolds

Alan Weinstein

1853
Citations
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

Andreas Floer;Alan Weinstein

1308
Citations
Nonlinear stability of fluid and plasma equilibria

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein

1180
Citations
Symplectic manifolds and their lagrangian submanifolds

Alan Weinstein

890
Citations
Lectures on Symplectic Manifolds

Alan Weinstein

738
Citations
Manin Triples for Lie Bialgebroids

Zhang Ju Liu;Zhang Ju Liu;Zhang Ju Liu;Alan Weinstein;Alan Weinstein;Alan Weinstein;Ping Xu

716
Citations
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids

Jerrold E. Marsden;Alan J. Weinstein

697
Citations
Geometric Models for Noncommutative Algebras

Ana Cannas da Silva;Alan Weinstein

676
Citations
Poisson Lie groups, dressing transformations, and Bruhat decompositions

Jiang-Hua Lu;Alan Weinstein

660
Citations
Symplectic groupoids and Poisson manifolds

Alan Weinstein

546
Citations
Normal Modes for Nonlinear Hamiltonian Systems.

Alan Weinstein

519
Citations
The Hamiltonian structure of the Maxwell-Vlasov equations

Jerrold E. Marsden;Alan J. Weinstein

514
Citations
Semidirect products and reduction in mechanics

Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein

472
Citations
Poisson Geometry with a 3-Form Background

Pavol Ševera;Alan Weinstein

470
Citations
The modular automorphism group of a Poisson manifold

Alan Weinstein

430
Citations
Coisotropic calculus and Poisson groupoids

Alan Weinstein

423
Citations
Transverse measures, the modular class, and a cohomology pairing for Lie algebroids

Sam Evens;Jiang-Hua Lu;Alan Weinstein

404
Citations
Periodic Orbits for Convex Hamiltonian Systems

Alan Weinstein

343
Citations
Groupoids: unifying internal and external symmetry

Alan Weinstein

313
Citations
Progress in mathematics

Hyman Bass;J. Oesterlé;Alan Weinstein

3
Citations

Frequent Co-Authors

Jerrold E. Marsden California Institute of Technology

Ping Xu Pennsylvania State University

Tudor S. Ratiu École Polytechnique Fédérale de Lausanne

Hyman Bass University of Michigan–Ann Arbor

Darryl D. Holm Imperial College London

Philip Holmes Princeton University

Philip Morrison The University of Texas at Austin

Steve Zelditch Northwestern University

Marius Mitrea Baylor University

Victor Guillemin MIT

External Links

Wikipedia of Alan Weinstein Personal website of Alan Weinstein

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