Jane Piore Gilman | Academic Influence

Jane Piore Gilman's AcademicInfluence.com Rankings

Jane Piore Gilman

Mathematics

#1454

World Rank

#2383

Historical Rank

#597

USA Rank

Measure Theory

#2414

World Rank

#2887

Historical Rank

#686

USA Rank

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Mathematics

Jane Piore Gilman'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 Jane Piore Gilman Influential?

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According to Wikipedia, Jane Piore Gilman is an American mathematician, a distinguished professor of mathematics at Rutgers University. Her research concerns topology and group theory. Education and career Gilman is one of three children of physicist Emanuel R. Piore. She did her undergraduate studies at the University of Chicago, graduating in 1965, and received her Ph.D. from Columbia University in 1971. Her thesis, supervised by Lipman Bers, was entitled Relative Modular Groups in Teichmüller Spaces. She worked for a year as an instructor at Stony Brook University before joining Rutgers in 1972.

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Jane Piore Gilman'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

Configuration spaces and braid groups on graphs in robotics (2001) (71)
Two-generator discrete subgroups of PSL(2, R) (1995) (66)
An algorithm for $2$-generator Fuchsian groups. (1991) (58)
Upper bounds for the writhing of knots and the helicity of vector fields (2001) (32)
Structures of Elliptic Irreducible Subgroups of the Modular Group (1983) (31)
Inequalities in Discrete Subgroups of PSL(2, R) (1988) (30)
On the Nielsen type and the classification for the mapping class group (1981) (28)
Discreteness criteria and the hyperbolic geometry of palindromes (2008) (28)
In the Tradition of Ahlfors-Bers, IV (2007) (24)
On conjugacy classes in the Teichmüller modular group. (1976) (22)
Kleinian groups with real parameters (2001) (21)
Algorithms, complexity and discreteness criteria in PSL(2, C) (1997) (19)
A matrix representation for automorphisms of compact Riemann surfaces (1977) (18)
Enumerating Palindromes and Primitives in Rank Two Free Groups (2008) (17)
Two-generator discrete subgroups of (2,) (1995) (17)
The structure of two-parabolic space: parabolic dust and iteration (2007) (14)
Complex Analysis: In the Spirit of Lipman Bers (2007) (14)
Compact Riemann surfaces with conformal involutions (1973) (13)
A geometric approach to J?rgensen's inequality (1991) (11)
Word Sequences and Intersection Numbers (2002) (11)
Classical two-parabolicT-Schottky Groups (2006) (10)
Curves generated on surfaces by the gilman-maskit algorithm (2007) (10)
Determining Thurston classes using Nielsen types (1982) (9)
Review: Heiner Zieschang, Elmar Vogt and Hans-Dieter Coldewey, Surfaces and planar discontinuous groups (1983) (9)
A geometric approach to the hyperbolic Jørgensen inequality (1987) (8)
Geometry and the Imagination in Minneapolis (2018) (8)
Implicit function theorem over free groups and genus problem (2001) (8)
Informative Words and Discreteness (2007) (7)
Prime Order Automorphisms of Riemann Surfaces (2007) (7)
ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES (1974) (7)
Computing Adapted Bases for Conformal Automorphism Groups of Riemann Surfaces (2013) (6)
The automorphism group of a free group is not subgroup separable (2001) (6)
Knots, braids, and mapping class groups -- papers dedicated to Joan S. Birman : proceedings of a conference in low dimensional topology in honor of Joan S. Birman's 70th birthday, March 14-15, 1998, Columbia University, New York, New York (2001) (6)
The Geometry of Two Generator Groups: Hyperelliptic Handlebodies (2005) (5)
Canonical symplectic representations for prime order conjugacy classes of the mapping-class group (2007) (5)
Geometry of Riemann Surfaces: Cutting sequences and palindromes (2008) (5)
Enumerating Palindromes in Rank Two Free Groups (2008) (5)
Complex analysis (2007) (4)
Homotopy and q-homotopy skein modules of 3-manifolds: An example in algebra Situs (2001) (4)
The Non-Euclidean Euclidean Algorithm (2012) (4)
Intersection Matrices for Bases Adapted to Automorphisms of a Compact Riemann Surface (1981) (3)
Canonical Hexagons and the PSL(2,C) Discreteness Problem (2015) (3)
Remembering Lipman Bers (1995) (3)
Intersection-number operators for curves on discs and Chebyshev polynomials (2001) (3)
Closed braids and Heegaard splittings (2001) (3)
Classical Two-parabolic T-Schottky groups (2007) (3)
On the Existence of Cyclic Surface Kernels for Pairs of Fuchsian Groups (1984) (2)
Canonical Forms for Conjugacy Classes of Prime Order Symplectic Matrices in Sp(2g, Z) (2009) (2)
Primitive Curve Lengths on Pairs of Pants (2015) (1)
Extending Harvey’s surface kernel maps (2021) (1)
PLANAR FAMILIES OF DISCRETE GROUPS (2005) (1)
Spaces of Kleinian Groups: Boundaries for two-parabolic Schottky groups (2006) (1)
An example about normalizers in mapping class groups (1978) (1)
Roots and rational powers in PSL ( 2 , R ) and discreteness (2018) (1)
Alternate discreteness tests (2001) (1)
Adjoining Roots and Rational Powers of Generators in PSL(2,\RR) and Discreteness (2017) (1)
Parameters for two-parabolic Schottky Groups (2004) (1)
Knot invariants from counting periodic points (2001) (1)
On the existence of elliptics in subgroups of PSL(2, ℝ): A graphical picture (1988) (1)
Canonical Forms for Prime Order Conjugacy Classes in $Sp(2g,Z)$ (2007) (1)
Reprint of Remembering Lipman Bers (2015) (0)
Roots and rational powers in $$PSL(2,\mathbb {R})$$PSL(2,R) and discreteness (2018) (0)
Zeros of Holomorphic Functions (2007) (0)
Relative modular groups in Teichmüller space theory (1971) (0)
The Cauchy Theory: A Fundamental Theorem (2013) (0)
On knot invariants which are not of finite type (2001) (0)
Some applications of a multiplicative structure on simple loops in surfaces (2001) (0)
A Remark about Components of Relative Teichmüller Spaces (1981) (0)
Lifting Free Subgroups of PSL ( 2 , R ) to Free Groups (2011) (0)
Review: Vagn Lundsgaard Hansen, Collected mathematical papers of Jacob Nielson (1989) (0)
Computability Models: Algebraic, Topological and Geometric Algorithms (2022) (0)
The Non-Euclidean Eucldiean Algorithm (2012) (0)
Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions (2013) (0)
Sequences and Series of Holomorphic Functions (2013) (0)
Winding and unwinding and essential intersections in H3 (2017) (0)
CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP (1987) (0)
What's in a name? Parallel Universes (2023) (0)
G R ] 1 1 Ju n 20 08 ENUMERATING PALINDROMES IN RANK TWO FREE GROUPS (2008) (0)
Winding and Unwinding and Essential Intersections in $\mathbb{H}^3$ (2015) (0)
In the tradition of Ahlfors-Bers, V : the triennial Ahlfors-Bers Colloquium, May 8-11, 2008, Rutgers University, Newark, New Jersey (2010) (0)
Conformal Equivalence and Hyperbolic Geometry (2013) (0)
Conformal Automorphism Groups, Adapted Generating Sets and Bases (2017) (0)
The Cauchy Theory–Key Consequences (2013) (0)
The Fundamental Theorem in Complex Function Theory (2013) (0)
On the -degree of the Kauffman polynomial of a tangle decomposition (2001) (0)
Research Statement (2009) (0)
Boundaries for two-parabolic Schottky groups 1 (2005) (0)
Reprint of Lipman Bers, a mathematical mentor (2015) (0)

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