John R. Stallings | Academic Influence

John R. Stallings's AcademicInfluence.com Rankings

John R. Stallings

Mathematics

#2310

World Rank

#3589

Historical Rank

#924

USA Rank

Measure Theory

#2337

World Rank

#2795

Historical Rank

#661

USA Rank

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Mathematics

John R. Stallings's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is John R. Stallings Influential?

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According to Wikipedia, John Robert Stallings Jr. was a mathematician known for his seminal contributions to geometric group theory and 3-manifold topology. Stallings was a Professor Emeritus in the Department of Mathematics at the University of California at Berkeley where he had been a faculty member since 1967. He published over 50 papers, predominantly in the areas of geometric group theory and the topology of 3-manifolds. Stallings' most important contributions include a proof, in a 1960 paper, of the Poincaré Conjecture in dimensions greater than six and a proof, in a 1971 paper, of the Stallings theorem about ends of groups.

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John R. Stallings's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Topology of finite graphs (1983) (653)
On Torsion-Free Groups with Infinitely Many Ends (1968) (506)
Homology and central series of groups (1965) (455)
On fibering certain 3-manifolds (1961) (297)
The Piecewise-Linear Structure of Euclidean Space (1962) (234)
A FINITELY PRESENTED GROUP WHOSE 3-DIMENSIONAL INTEGRAL HOMOLOGY IS NOT FINITELY GENERArED.* (1963) (162)
Centerless groups—an algebraic formulation of Gottlieb’s theorem (1965) (137)
Fixed point theorems for connectivity maps (1959) (123)
On the Loop Theorem (1960) (110)
ON TOPOLOGICALLY UNKNOTTED SPHERES (1963) (100)
On Infinite Processes Leading to Differentiability in the Complement of a Point (1965) (94)
Polyhedral homotopy-spheres (1960) (85)
Lectures on polyhedral topology (1967) (77)
A topological proof of Grushko's theorem on free products (1965) (76)
Whitehead graphs on handlebodies (1999) (73)
Combinatorial group theory and topology (1987) (65)
Whitehead Torsion of Free Products (1965) (63)
Algorithms in geometric group theory (1999) (51)
HOW NOT TO PROVE THE POINCARÉ CONJECTURE (1967) (45)
Foldings of G-trees (1991) (45)
Casson's Idea about 3-Manifolds whose Universal Cover is R3 (1991) (40)
Groups of dimension 1 are locally free (1968) (40)
GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS (1987) (32)
Topologically unrealizable automorphisms of free groups (1982) (31)
QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING (1975) (25)
Irreducible outer automorphisms of a free group (1991) (23)
On the recursiveness of sets of presentations of 3-manifold groups (1962) (22)
GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS (1987) (22)
Surfaces in three-manifolds and non-singular equations in groups (1983) (22)
Finiteness properties of matrix representations (1986) (17)
Problems about Free Quotients of Groups (1995) (17)
Adian Groups and Pregroups (1987) (16)
Coherence of 3-manifold fundamental groups (1977) (14)
THE TODD-COXETER PROCESS, USING GRAPHS (1987) (11)
Uncountably Many Wild Disks (1960) (8)
An Extension Theorem for Euler Characteristics of Groups (2002) (7)
SJOGREN’S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE (1987) (6)
Geometric Group Theory: Brick's Quasi Simple Filtrations and 3-Manifolds (1993) (6)
The cohomology of pregroups (1973) (6)
Generic Elements in Certain Groups (1995) (6)
Combinatorial Group Theory and Topology. (AM-111) (1987) (5)
Surfaces Mapping to Wedges of Spaces. A Topological Variant of the Grushko-Neumann Theorem (2000) (3)
On Gauss’s first proof of the fundamental theorem of algebra (1988) (2)
Some Topological Proofs and Extensions of Gru Sko's Theorem Some Topological Proofs and Extensions of Gru Sko's Theorem Table of Contents (1996) (2)
Groups with infinite products (1962) (2)
HOW NOT TO PROVE THE POINCAR E CONJECTURE (2007) (1)
Geometric Understanding of the Angle between Subgroups (1995) (1)
Shorter Notes: On Gauss's First Proof of the Fundamental Theorem of Algebra (1988) (1)
Topology Proceedings 7 (1982) pp. 55-62: THE CANTOR INTERMEDIATE VALUE PROPERTY (2007) (0)

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