Roger C. Alperin | Academic Influence

Roger C. Alperin's AcademicInfluence.com Rankings

Roger C. Alperin

Mathematics

#5333

World Rank

#7511

Historical Rank

#1765

USA Rank

Measure Theory

#4178

World Rank

#4921

Historical Rank

#1177

USA Rank

mathematics Degrees

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Mathematics

Roger C. Alperin's Degrees

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

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Why Is Roger C. Alperin Influential?

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According to Wikipedia, Roger Charles Alperin was an American mathematician, best known for his work in group theory, including its connections with geometry and topology. He was a professor at the University of Oklahoma and at San Jose State University.

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Roger C. Alperin'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

of quaternion algebras (1979) (127)
LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES (1987) (127)
An elementary account of selberg's lemma (1987) (84)
A Mathematical Theory of Origami Constructions and Numbers (2000) (73)
One-, Two-, and Multi-Fold Origami Axioms (2006) (51)
Integral Sets and Cayley Graphs of Finite Groups (2012) (42)
Linear groups of finite cohomological dimension (1981) (41)
Arboreal Group Theory (1991) (31)
Complete Trees for Groups with a Real‐Valued Length Function (1985) (27)
The Modular Tree of Pythagoras (2005) (26)
Locally compact groups acting on trees and propertyT (1982) (25)
LOCALLY COMPACT GROUPS ACTING ON TREES (1982) (24)
The boundary of the Gieseking tree in hyperbolic three-space (1999) (24)
K2 of quaternion algebras (1979) (19)
The Matrix of a Rotation (1989) (16)
Heron's Area Formula (1987) (15)
Homology ofSL2(Z[ω]) (1980) (14)
Homology of the group of automorphisms of k[x,y] (1979) (14)
SK1 of finite abelian groups, II (1985) (13)
Solvable Groups of Exponential Growth and HNN Extensions (1999) (13)
The Poncelet Pencil of Rectangular Hyperbolas (2010) (11)
Uniform Growth of Polycyclic Groups (2002) (11)
Rational subsets of finite groups (2014) (10)
PSL 2 (Z) = Z 2 ∗ Z 3 (1993) (9)
SK1 of finite abelian groups. I (1985) (8)
Golomb Rulers (2011) (8)
A Strong Schottky Lemma for Nonpositively Curved Singular Spaces (2001) (8)
Folding the Hyperbolic Crane (2012) (8)
P-Adic Binomial Coefficients Mod P (1985) (8)
A Grand Tour of Pedals of Conics (2004) (7)
Linear representations of binate groups (1994) (7)
COMPACT GROUPS ACTING ON TREES (1980) (7)
Separability of Solvable Subgroups in Linear Groups (2004) (6)
Trisections and Totally Real Origami (2004) (6)
Origami Alignments and Constructions in the Hyperbolic Plane (2011) (6)
Metabelian Wreath Products Are LERF (2006) (5)
Toward engineering biological tissues by directed assembly and origami folding (2015) (5)
Uniform Growth, Actions on Trees and $GL_2$ (2001) (5)
Uniform Exponential Growth of Polycyclic Groups (2000) (4)
RATIONALS AND THE MODULAR GROUP (1999) (4)
The non-triviality of sk⊥ (ZZ π) (1973) (4)
Platonic Triangles of Groups (1998) (4)
$SL_2(Z[(1+\sqrt{5})/2])$ (1980) (4)
Normal subgroups of ₂([√-3]) (1996) (4)
Stability for H2 (Sun) (1976) (4)
The non-triviality of SK1(Z ) (1973) (3)
Nonvanishing of Algebraic Entropy for Geometrically Finite Groups of Isometries of Hadamard Manifolds (2004) (3)
Two-dimensional representations of groups with property FA (1990) (3)
Remarks on a Problem of Eisenstein (2006) (2)
WHITEHEAD TORSION FOR FINITE ABELIAN GROUPS (1973) (2)
A Quartic Surface of Integer Hexahedra (1999) (2)
K2(2, k[T, T−1]) is generated by “symbols” (1979) (2)
All cubics are self-isogonal (2014) (2)
Growth functions for residually torsion-free nilpotent groups (1990) (2)
The Modular Tree of Pythagorus (2000) (2)
Solving Euler ’ s Triangle Problems with Poncelet ’ s Pencil (2011) (1)
Integral Sets and the Center of a Finite Group (2014) (1)
Some Representations of Groups of Automorphisms of a Free Group (1996) (1)
Customizable Microfluidic Origami Liver‐on‐a‐Chip (oLOC) (2022) (1)
Free subgroups of quaternion algebras (1993) (1)
A Mathematical Theory of Origami Numbers and Constructions (1999) (0)
Graph paper for polygon-packed origami design (2015) (0)
Pivot-isogonal cubics (2016) (0)
Review: Warren Dicks, Groups, trees and projective modules, and Jean-Pierre Serre, Trees (1983) (0)
Undistorted solvable linear groups (2011) (0)
Ju l 2 00 4 Separability of Solvable Subgroups in Linear Groups (2008) (0)
A splitting theorem for linear polycyclic groups (2009) (0)
Arboreal Group Theory Proceedings of a Workshop Held September 13-16, 1988 (1991) (0)
Free products of matrices (1995) (0)
A ug 2 00 4 Separability of Solvable Subgroups in Linear Groups (2009) (0)
A Totally Real Folding of the Regular Heptagon (2005) (0)
Pivot-isogonal cubics (2016) (0)
K,(2, k(T, T-l)) Is G enerated by "Symbols" (1979) (0)
Book Review: Groups, trees and projective modules@@@Book Review: Trees (1983) (0)
J an 2 00 1 A strong Schottky Lemma for nonpositively curved singular spaces To John Stallings on his sixty-fifth birthday (2008) (0)
All cubics are self-isogonal (2013) (0)
All cubics are self-isotomic (2015) (0)
All cubics are self-isotomic (2016) (0)
Hypergeometric groups (1991) (0)
Reflections on Poncelet's Pencil (2015) (0)
The Gergonne and Soddy lines (2015) (0)
Folding the Hyperbolic Crane (2012) (0)

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