Stephen M. Gersten | Academic Influence

Stephen M. Gersten's AcademicInfluence.com Rankings

Stephen M. Gersten

Mathematics

#6310

World Rank

#8765

Historical Rank

#1926

USA Rank

Measure Theory

#2901

World Rank

#3448

Historical Rank

#838

USA Rank

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Mathematics

Stephen M. Gersten's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Stephen M. Gersten Influential?

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According to Wikipedia, Stephen M. Gersten was an American mathematician, specializing in finitely presented groups and their geometric properties. Gersten graduated in 1961 with an AB from Princeton University and in 1965 with a PhD from Trinity College, Cambridge. His doctoral thesis was Class Groups of Supplemented Algebras written under the supervision of John R. Stallings. In the late 1960s and early 1970s he taught at Rice University. In 1972–1973 he was a visiting scholar at the Institute for Advanced Study. In 1973 he became a professor at the University of Illinois at Urbana–Champaign. In 1974 he was an Invited Speaker at the International Congress of Mathematicians in Vancouver. At the University of Utah he became a professor in 1975 and is now semi-retired there. His PhD students include Roger C. Alperin and Edward W. Formanek.

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Stephen M. Gersten'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

Essays in Group Theory (2011) (357)
Rational subgroups of biautomatic groups (1991) (193)
Small cancellation theory and automatic groups (1990) (164)
Algebraic K-theory as generalized sheaf cohomology (1973) (142)
Automatic groups and amalgams (1991) (134)
Dehn functions and l1-norms of nite presentations (1989) (110)
Reducible Diagrams and Equations Over Groups (1987) (107)
Higher K-theory of rings (1973) (83)
A presentation for the special automorphism group of a free group (1984) (80)
Geometric Group Theory: Isoperimetric and Isodiametric Functions of Finite Presentations (1993) (78)
Cohomological lower bounds for isoperimetric functions on groups (1998) (75)
Quadratic divergence of geodesics in CAT(0) spaces (1994) (73)
THE OPTIMAL ISOPERIMETRIC INEQUALITY FOR TORUS BUNDLES OVER THE CIRCLE (1996) (72)
Subgroups of Word Hyperbolic Groups in Dimension 2 (1996) (71)
Intersection of finitely generated subgroups of free groups and resolutions of graphs (1983) (71)
Fixed points of automorphisms of free groups (1987) (67)
The automorphism group of a free group is not a (0) group (1994) (65)
Combinatorial group theory and topology (1987) (65)
Some exact sequences in the higher K-theory of rings (1973) (64)
A homological characterization of hyperbolic groups (1999) (56)
Small cancellation theory and automatic groups: Part II (1991) (53)
Bounded Cocycles and Combings of Groups (1992) (53)
On the spectrum of algebraic $K$-theory (1972) (48)
Divergence in 3-manifold groups (1994) (47)
On Mayer-Vietoris functors and algebraic K-theory (1971) (40)
Casson's Idea about 3-Manifolds whose Universal Cover is R3 (1991) (40)
A PRODUCT FORMULA FOR WALL'S OBSTRUCTION. (1966) (35)
K-Theory of Free Rings (1974) (34)
Finiteness Properties of Asynchronously Automatic Groups (1995) (33)
Quasi-isometry invariance of cohomological dimension (1993) (30)
Filling Length in Finitely Presentable Groups (2000) (28)
On Whitehead's algorithm (1984) (27)
On Fixed Points of Certain Automorphisms of Free Groups (1984) (25)
The localization theorem for protective modules (1974) (24)
Irreducible outer automorphisms of a free group (1991) (23)
The Double exponential Theorem for isodiametric and isoperimetric Functions (1991) (22)
ON THE FUNCTOR K2 (1971) (22)
Introduction to hyperbolic and automatic groups (1998) (19)
On branched covers of the 2-sphere by the 2-sphere (1987) (19)
ISOPERIMETRIC AND ISODIAMETRIC FUNCTIONS OF FINITE PRESENTATIONS (2019) (16)
Branched coverings of 2-complexes and diagrammatic reducibility (1987) (16)
A NOTE ON COHOMOLOGICAL VANISHING AND THE LINEAR ISOPERIMETRIC INEQUALITY (1996) (15)
Preservation and distortion of area in finitely presented groups (1996) (15)
Whitehead groups of free associative algebras (1965) (15)
Isoperimetric functions of groups and exotic cohomology (1994) (14)
Problems on Automatic Groups (1992) (13)
BOUNDED COHOMOLOGY AND COMBINGS OF GROUPS (2005) (12)
Problems about higher K-functors (1973) (12)
On Class Groups of Free Products (1968) (11)
K 3 of a Ring is H 3 of the Steinberg Group (1973) (11)
SOME DUALITY CONJECTURES FOR FINITE GRAPHS AND THEIR GROUP THEORETIC CONSEQUENCES (2005) (11)
Homological Dehn Functions And The Word Problem (1999) (10)
Products of conjugacy classes in a free group: a counterexample (1986) (10)
NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS (1987) (9)
Higher $K$-theory for regular schemes (1973) (9)
Coherence in doubled groups (1981) (9)
Automatic Groups and Amalgams — A Survey (1992) (9)
A Meyer-Vietoris sequence in the K-theory of localizations (1972) (8)
The Whitehead theorem for nilpotent spaces (1975) (8)
On fixed points of automorphisms of finitely generated free groups (1983) (8)
Geometric automorphisms of a free group of rank at least three are rare (1983) (7)
A relation between two simplicial algebraic $K$-theories (1971) (7)
Shorter Notes: A Short Proof of the Algebraic Weierstrass Preparation Theorem (1983) (6)
Filling Radii of Finitely Presented Groups (2002) (6)
The Gallery Length Filling Function and a Geometric Inequality for Filling Length (2006) (6)
On the $K$-theory of Laurent polynomials (1971) (6)
SJOGREN’S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE (1987) (6)
Combinatorial Group Theory and Topology. (AM-111) (1987) (5)
Homotopy theory of rings and algebraic $K$-theory (1971) (5)
The torsion of a self equivalence (1967) (5)
Counterexamples to a conjecture about spherical diagrams (1986) (4)
$K\sb{3}$ of a ring is $H\sb{3}$ of the Steinberg group (1973) (4)
Shorter Notes: The Whitehead Theorem for Nilpotent Spaces (1975) (3)
Asphericity for certain groups of cohomological dimension 2 (2015) (2)
On Gauss’s first proof of the fundamental theorem of algebra (1988) (2)
$K$-theoretic interpretation of tame symbols on $k\left( t \right)$ (1970) (1)
HIGHER K-FUNCTORS (1972) (1)
Shorter Notes: On Gauss's First Proof of the Fundamental Theorem of Algebra (1988) (1)
SOME REMARKS ON SUBGROUPS OF HYPERBOLIC GROUPS (1999) (1)
Advanced Problems: 6592-6594 (1989) (1)
Amalgamations and the Kervaire problem (1987) (1)
DISTORTION AND '1-HOMOLOGY (1998) (1)
ON BRANCHED COVERS OF THE 2-SPHERE (2010) (0)
THE OPTIMAL ISOPERIMETRI C INEQUALITY FO R TORUS BUNDLE S OVER TH E CIRCLE (1996) (0)
D ec 2 01 5 TOPOLOGY OF THE STANDARD MODEL I : FERMIONS (2021) (0)
Distortion and l1-Homology (2000) (0)
GROUPS ACTING ON QUASICONVEX SPACES AND TRANSLATION NUMBERS (2000) (0)
Topology of the Standard Model, I: Fermions (2013) (0)
Distortion and l 1 -Homology (1998) (0)
Solutions of equations over $\omega$-nilpotent groups (1987) (0)
A ug 2 00 0 Filling Length in Finitely Presentable Groups (2000) (0)

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