William Abikoff | Academic Influence

William Abikoff's AcademicInfluence.com Rankings

William Abikoff

Mathematics

#6293

World Rank

#8742

Historical Rank

#1923

USA Rank

Measure Theory

#3998

World Rank

#4711

Historical Rank

#1139

USA Rank

mathematics Degrees

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Mathematics

William Abikoff's Degrees

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

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Why Is William Abikoff Influential?

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According to Wikipedia, William Abikoff is an American mathematician. He has been a professor of mathematics at the University of Connecticut since 1981. Abikoff earned his Ph.D. in 1971 from the New York University Polytechnic School of Engineering under the supervision of Georges Gustave Weill. In 2012, Abikoff became a Fellow of the American Mathematical Society.

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William Abikoff'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

The real analytic theory of Teichmüller space (1980) (413)
THE GEOMETRY OF DISCRETE GROUPS (Graduate Texts in Mathematics) (1984) (345)
Degenerating Families of Riemann Surfaces (1977) (125)
The Uniformization Theorem (1981) (65)
On boundaries of teichmüller spaces and on kleinian groups, III (1975) (58)
Geometric Decompositions of Kleinian Groups (1977) (44)
The residual limit sets of Kleinian groups (1973) (26)
Nondiscrete Groups of Hyperbolic Motions (1990) (25)
Some Remarks on Kleinian Groups (1971) (24)
Augmented Teichmüller spaces (1976) (20)
Moduli of riemann surfaces (1974) (15)
Conformal barycenters and the Douady-Earle extension—a discrete dynamical approach (2002) (14)
The Euler characteristic and inequalities for Kleinian groups (1986) (13)
Barycentric extensions of monotone maps of the circle (2004) (13)
Two Theorems on Totally Degenerate Kleinian Groups (1976) (13)
A PRIMER ON RIEMANN SURFACES (London Mathematical Society Lecture Note Series, 78) (1985) (10)
Oswald teichmüller (1986) (9)
The mathematical legacy of Wilhelm Magnus : groups, geometry, and special functions : Conference on the Legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic University, Brooklyn, New York (1994) (8)
Review: Subhashis Nag, The complex analytic theory of Teichmüller spaces (1989) (6)
A Geometric Property of Bers' Embedding of The Teichmuller Space (1981) (6)
On The Decomposition and Deformation of Kleinian Groups (1974) (4)
Lifting surface groups to SL(2, ℂ)* (1983) (4)
In The Tradition Of Ahlfors And Bers, Iii: The Ahlfors-bers Colloquium, October 18-21, 2001, University Of Connecticut At Storrs (2004) (4)
Remembering Lipman Bers (1995) (3)
The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem. (1984) (2)
About Books (1982) (2)
Extremal Kleinian groups (2011) (1)
CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS (1974) (1)
Bers—From graduate student to quasiconformal mapper (2015) (1)
Remark on the size of a Riemann surface (1986) (0)
Letters to the editor (1987) (0)
Some unsolved problems (1974) (0)
The basic Adam (1984) (0)
THEOREM 1. Every finitely generated Kleinian group can be constructed from elementary groups, totally degenerate groups and web groups using the (2016) (0)
Book Review: Combinatorics of train tracks (1993) (0)
The BASIC Apple IIc : a self-teaching guide (1985) (0)
On the boundary behavior of functions in the spherical Dirichlet class (1981) (0)
T E X—The ease and art of text processing (1988) (0)
DEGENERATE KLEINIAN GROUPS. (2016) (0)
Basic Apple IIC (1985) (0)
Remark on the size of a Riemann surface (1986) (0)

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What Schools Are Affiliated With William Abikoff?

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