2026 Richard S. Palais: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	35	2713	2426	1110	934	89	10689

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2713

2426

1110

934

10689

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
1980 - Fellow of the American Association for the Advancement of Science (AAAS)
1965 - Fellow of Alfred P. Sloan Foundation

Overview

Richard S. Palais is affiliated with the University of California, Irvine in the United States. Their recent contributions to the field of mathematics include publications in the Notices of the American Mathematical Society.

Notable papers authored or co-authored by Richard S. Palais include:

"Isadore M. Singer (1924-2021) In Memoriam Part 2: Personal Recollections," 2022, Notices of the American Mathematical Society
"Richard Palais on His Development as a Young Mathematician," 2025, Notices of the American Mathematical Society

Frequent collaborators in research include:

Robert L. Bryant
Jeff Cheeger
Phillip Griffiths
Lenore Blum
Dan Burns

The most common venue for publication is the Notices of the American Mathematical Society.

Richard S. Palais has been recognized with several awards throughout the career, including:

Fellow of the American Mathematical Society (2013)
Fellow of the American Association for the Advancement of Science (AAAS) (1980)
Fellow of Alfred P. Sloan Foundation (1965)

Best Publications

The principle of symmetric criticality

Richard S. Palais

1533
Citations
On the Existence of Slices for Actions of Non-Compact Lie Groups

Richard S. Palais

967
Citations
A Global Formulation of the Lie Theory of Transformation Groups

Richard S. Palais

768
Citations
Foundations of global non-linear analysis

Richard S. Palais

761
Citations
Seminar on the Atiyah-Singer Index Theorem.

Richard S. Palais;Michael Francis Atiyah

655
Citations
Morse theory on Hilbert manifolds

Richard S. Palais

625
Citations
Critical Point Theory and Submanifold Geometry

Richard S. Palais;Chuu-liang Terng

589
Citations
HOMOTOPY THEORY OF INFINITE DIMENSIONAL MANIFOLDS

Richard S. Palais

506
Citations
Lusternik-Schnirelman theory on Banach manifolds

Richard S. Palais

461
Citations
A generalized Morse theory

R. S. Palais;S. Smale

396
Citations
Natural operations on differential forms

Richard S. Palais

278
Citations
The classification of G-spaces

Richard S. Palais

274
Citations
Local triviality of the restriction map for embeddings

Richard S. Palais

247
Citations
A general theory of canonical forms

Richard S. Palais;Chuu-Lian Terng

229
Citations
The symmetries of solitons

Richard S. Palais;Richard S. Palais

147
Citations
On the homotopy type of certain groups of operators

Richard S. Palais

140
Citations
Hyperpolar Actions on Symmetric Spaces

E. Heintze;R. S. Palais;G. Thorbergsson

135
Citations
The classification of -spaces

Unknown

116
Citations
A simple proof of the Banach contraction principle

Richard S. Palais

114
Citations
Imbedding of Compact, Differentiable Transformation Groups in Orthogonal Representations

Richard Palais

111
Citations
Critical point theory and the minimax principle

Unknown

105
Citations
On a Class of Transformation Groups

Andrew M. Gleason;Richard S. Palais

93
Citations

Frequent Co-Authors

Krishna Rajan University at Buffalo, State University of New York

Jeremy D. Pickett-Heaps University of Melbourne

Waleed Abdalati University of Colorado Boulder

Rebecca Fahrig Siemens Healthcare (United States)

Karen Uhlenbeck The University of Texas at Austin

Steve Smale City University of Hong Kong

Michael Atiyah University of Edinburgh

Morris W. Hirsch University of California, Berkeley

External Links

Wikipedia of Richard S. Palais Personal website of Richard S. Palais

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

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, expanding your skillset with related online degrees can open diverse career opportunities. Many professionals combine their mathematical expertise with finance, earning a degree such as a cheap online masters in finance. This combination equips graduates for roles in financial analysis, risk management, and quantitative modeling.

Meanwhile, business professionals often seek to enhance their managerial skills through fast and flexible education options. Programs like the fastest online mba programs offer a time-efficient path to leadership positions without compromising work commitments.

Marketing also presents a valuable avenue for those with strong analytical and strategic thinking, paired with a specialized focus such as the marketing masters. These programs are tailored to offer solid returns on investment through affordable tuition and strong earning potential.

If you're seeking an accelerated career boost, 12 month mba programs provide a comprehensive experience in a condensed timeframe. This route is ideal for math graduates aiming to quickly transition into high-impact business roles.