2026 Stephen Halperin: Mathematics Researcher – H-Index, Publications & Awards

Overview

Stephen Halperin is affiliated with the University of Maryland, College Park in the United States. Their research spans across multiple fields including Mathematics and Health Professions, with a focus on specialties such as Mathematical Physics, Algebra and Number Theory, Geometry and Topology, General Health Professions, and Psychiatry and Mental Health.

The scientist's work covers a variety of topics, notably:

Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Schizophrenia research and treatment
Mental Health Treatment and Access
Mental Health and Patient Involvement
Child and Adolescent Psychosocial and Emotional Development

Recent papers authored or co-authored by Stephen Halperin include:

"Rational homotopy via Sullivan models and enriched Lie algebras," 2023, published in EMS Surveys in Mathematical Sciences
"Understanding the provision of psychological interventions for psychosis in an Australian mental health service: a mixed methods study," 2023, published in Australian Psychologist
"Enriched Lie algebras in topology, I," 2021, published in arXiv (Cornell University)
"Using quality improvement methods to improve the effectiveness and sustainability of a social skills intervention for public mental health consumers with psychosis," 2022, published in Clinical Psychologist
"Enriched Differential Lie Algebras in Topology," 2022, published in arXiv (Cornell University)

Stephen Halperin frequently publishes in venues including:

arXiv (Cornell University)
EMS Surveys in Mathematical Sciences
Australian Psychologist
Clinical Psychologist
Discover Mental Health

Among collaborators, the most frequent co-authors are:

Yves Félix
Liza Hopkins
Ellie Newman
Neil Thomas
Marnie Graco

Best Publications

Rational Homotopy Theory

Yves Félix;Stephen Halperin;Jean-Claude Thomas

1035
Citations
Connections, curvature and cohomology

Werner H Greub;Stephen Halperin;Ray Vanstone

885
Citations
Obstructions to homotopy equivalences

Stephen Halperin;James Stasheff

343
Citations
Lectures on minimal models

Stephen Halperin

314
Citations
Rational L-s Category and its Applications

Yves Félix;Stephen Halperin

258
Citations
Finiteness in the minimal models of Sullivan

Stephen Halperin

199
Citations
Through the looking glass: A dictionary between rational homotopy theory and local algebra

Luchezar Avramov;Stephen Halperin

124
Citations
Stiefel-Whitney Homology Classes

Stephen Halperin;Domingo Toledo

116
Citations
Dupin hypersurfaces, group actions and the double mapping cylinder

Karsten Grove;Stephen Halperin

116
Citations
The Radical of the Homotopy Lie-algebra

Yves Felix;Stephen Halperin;Carl Jacobsson;Clas Lofwall

97
Citations
Adams’ cobar equivalence

Yves Félix;Stephen Halperin;Jean-Claude Thomas

90
Citations
An arithmetic characterization of the rational homotopy groups of certain spaces

John B. Friedlander;Stephen Halperin

88
Citations
Universal enveloping algebras and loop space homology

Stephen Halperin

83
Citations
Notions of category in differential algebra

S. Halperin;J.-M. Lemaire

74
Citations
Contributions of rational homotopy theory to global problems in geometry

Karsten Grove;Karsten Grove;Stephen Halperin;Stephen Halperin

74
Citations
Mod p loop space homology

Yves Félix;Stephen Halperin;Jean-Michel Lemaire;Jean-Claude Thomas

68
Citations
The homotopy Lie algebra for finite complexes

Yves Félix;Yves Félix;Yves Félix;Stephen Halperin;Stephen Halperin;Stephen Halperin;Jean-Claude Thomas;Jean-Claude Thomas;Jean-Claude Thomas

61
Citations
Rational fibrations, minimal models, and fibrings of homogeneous spaces

Stephen Halperin

55
Citations
Elliptic Hopf Algebras

Yves Félix;Stephen Halperin;Jean-Claude Thomas

51
Citations
De Rham cohomology of manifolds and vector bundles

Werner Hildbert Greub;Stephen Halperin;Ray Vanstone

29
Citations

Frequent Co-Authors

Karsten Grove University of Notre Dame

John B. Friedlander University of Toronto

Luchezar L. Avramov University of Nebraska–Lincoln

Mikhael Gromov Institut des Hautes Études Scientifiques

Andrew Granville University of Montreal

Jim Stasheff University of Pennsylvania

External Links

Personal website of Stephen Halperin

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