2026 Allen Hatcher: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

1976 - Fellow of Alfred P. Sloan Foundation

Overview

Allen Hatcher is affiliated with Cornell University in the United States and has contributed to multiple fields of study, including engineering, computer science, and mathematics. Their work spans various subfields such as computational mechanics, computer vision and pattern recognition, biomedical engineering, mathematical physics, and computational theory and mathematics.

The research topics covered by Allen Hatcher include advanced numerical analysis techniques, image processing and 3D reconstruction, mechanics and biomechanics studies, homotopy and cohomology in algebraic topology, topological and geometric data analysis, and advanced topology and set theory.

Recent publications by Allen Hatcher feature the following works:

The Kirby torus trick for surfaces, 2025, published in L'Enseignement Mathématique
The complex of free factors of a free group, 2022, published in arXiv (Cornell University)

Frequent collaborators of Allen Hatcher include Karen Vogtmann.

The main venues where Allen Hatcher has published include:

L'Enseignement Mathématique
arXiv (Cornell University)

In 1976, Allen Hatcher was recognized as a Fellow of the Alfred P. Sloan Foundation.

Best Publications

Incompressible surfaces in 2-bridge knot complements

A. Hatcher;W. Thurston

534
Citations
A presentation for the mapping class group of a closed orientable surface

A. Hatcher;W. Thurston

526
Citations
On the boundary curves of incompressible surfaces.

Allen Hatcher

317
Citations
On triangulations of surfaces

Allen Hatcher

280
Citations
A proof of the Smale Conjecture, Diff(S3) 0(4)

Allen E. Hatcher

279
Citations
Homological stability for automorphism groups of free groups

Allen Hatcher

235
Citations
Incompressible surfaces in punctured-torus bundles

W. Floyd;A. Hatcher

148
Citations
Pseudo-isotopies of compact manifolds

Allen Hatcher;John Wagoner

146
Citations
Boundary slopes for Montesinos knots

A. Hatcher;U. Oertel

146
Citations
Stabilization for mapping class groups of 3-manifolds

Allen Hatcher;Nathalie Wahl

142
Citations
Higher simple homotopy theory

A. E. Hatcher

123
Citations
Homeomorphisms of sufficiently large P2-irreducible 3-manifolds

Allen Hatcher

119
Citations
Bordism invariants of intersections of submanifolds

Allen Hatcher;Frank Quinn

98
Citations
Configuration spaces of rings and wickets

Tara E. Brendle;Allen Hatcher

96
Citations
Rational homology of $ ext{ m Aut}$($F_n$)

Allen Hatcher;Karen Vogtmann

95
Citations
Cerf Theory for Graphs

Allen Hatcher;Karen Vogtmann

94
Citations
On the Teichmüller tower of mapping class groups

Allen Hatcher;Pierre Lochak;Leila Schneps

91
Citations
Homology stability for outer automorphism groups of free groups

Allen Hatcher;Karen Vogtmann

80
Citations
The Complex of Free Factors of a Free Group

Allen Hatcher;Karen Vogtmann

80
Citations
Hyperbolic Structures of Arithmetic Type on Some Link Complements

Allen Hatcher

77
Citations

Frequent Co-Authors

William P. Thurston Cornell University

External Links

Personal website of Allen Hatcher

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