Jacob E. Goodman | Academic Influence

Jacob E. Goodman's AcademicInfluence.com Rankings

Jacob E. Goodman

Mathematics

#7247

World Rank

#9884

Historical Rank

#2034

USA Rank

Geometry

#178

World Rank

#253

Historical Rank

#34

USA Rank

Measure Theory

#3545

World Rank

#4185

Historical Rank

#1024

USA Rank

mathematics Degrees

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Mathematics

Jacob E. Goodman's Degrees

Bachelors Mathematics Columbia University

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Why Is Jacob E. Goodman Influential?

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According to Wikipedia, Jacob Eli Goodman was an American geometer who spent most of his career at the City College of New York, where he was professor emeritus. Research Together, he and Richard M. Pollack, his long-term collaborator, introduced concepts such as "allowable sequences of permutations" and "wiring diagrams", which have played an important role in discrete geometry, specifically in the study of arrangements of pseudolines and oriented matroids. His work with Pollack includes such results as the first nontrivial bounds on the number of order types of polytopes, and a generalization of the Hadwiger transversal theorem to higher dimensions. He and Pollack were the founding editors of the journal Discrete & Computational Geometry.

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Jacob E. Goodman'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

Handbook of Discrete and Computational Geometry, Second Edition (1997) (1060)
Advances in Discrete and Computational Geometry (1999) (224)
On the Combinatorial Classification of Nondegenerate Configurations in the Plane (1980) (135)
Upper bounds for configurations and polytopes inRd (1986) (130)
Geometric Transversal Theory (1993) (130)
Allowable Sequences and Order Types in Discrete and Computational Geometry (1993) (129)
Semispaces of Configurations, Cell Complexes of Arrangements (1984) (118)
Multidimensional Sorting (1983) (105)
Affine open subsets of algebraic varieties and ample divisors (1969) (96)
Proof of a conjecture of Burr, Grünbaum, and Sloane (1980) (88)
Coordinate representation of order types requires exponential storage (1989) (79)
Pseudoline Arrangements (2004) (78)
Proof of Grünbaum's Conjecture on the Stretchability of Certain Arrangements of Pseudolines (1980) (72)
Discrete and Computational Geometry: Papers from the DIMACS Special Year (1991) (68)
Surveys on discrete and computational geometry : twenty years later : AMS-IMS-SIAM Joint Summer Research Conference, June 18-22, 2006, Snowbird, Utah (2008) (64)
Combinatorial and Computational Geometry (2011) (62)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Hadwiger’s transversal theorem in higher dimensions (1988) (52)
On the Number of k-Subsets of a Set of n Points in the Plane (1984) (47)
There are asymptotically far fewer polytopes than we thought (1986) (41)
On the largest convex polygon contained in a non-convex n-gon, or how to peel a potato (1981) (38)
Discrete geometry and convexity (1985) (37)
The Intrinsic Spread of a Configuration in R d (1990) (34)
Arrangements and Topological Planes (1994) (32)
A theorem of ordered duality (1982) (28)
Helly-Type Theorems for Pseudoline Arrangements in P2 (1982) (25)
Cell decomposition of polytopes by bending (2017) (25)
The complexity of point configurations (1991) (24)
Schemes with Finite-Dimensional Cohomology Groups (1969) (23)
Bounding the number of geometric permutations induced by k-transversals (1994) (21)
Varieties proper over affine schemes (1973) (18)
Even triangulations of ³ and the coloring of graphs (1978) (16)
Foundations of a theory of convexity on affine Grassmann manifolds (1995) (15)
The intrinsic spread of a configuration in (1990) (15)
Mountain Climbing, Ladder Moving, and the Ring-width of a Polygon (2015) (15)
On the Helly Number for Hyperplane Transversals to Unit Balls (2000) (14)
The combinatorial encoding of disjoint convex sets in the plane (2008) (12)
Convexity in Topological Affine Planes (2007) (12)
Three Points Do Not Determine a (Pseudo-) Plane (1981) (12)
Bounding the Number of Geometric Permutations Induced byk-Transversals (1996) (10)
There are uncountably many universal topological planes (1996) (10)
WHEN IS A SET OF LINES IN SPACE CONVEX (1998) (9)
Every arrangement extends to a spread (1994) (8)
Cremona convexity, frame convexity and a theorem of Santaló (2004) (7)
Common Tangents and Common Transversals (2018) (6)
Interval sequences and the combinatorial encoding of planar families of pairwise disjoint convex sets (2005) (6)
A COMBINATORIAL VERSION OF THE ISOTOPY CONJECTURE (1985) (6)
Polynomial realization of pseudoline arrangements (1985) (5)
The combinatorial complexity of hyperplane transversals (1990) (5)
On the connected components of the space of line transversals to a family of convex sets (1995) (5)
Convexification of planar polygons in R (1999) (4)
There is a universal topological plane (1992) (4)
The Hadwiger Transversal Theorem for Pseudolines (2007) (4)
A Helly-Type Theorem for Hyperplane Transversals to Well-Separated Convex Sets (2000) (4)
GEOMETRIC SORTING THEORY (1985) (3)
A Helly-type theorem for higher-dimensional transversals (2002) (3)
New Bounds on Higher Dimensional Configurations and Polytopes a (1989) (2)
Do Projections Go to Infinity? (1990) (2)
Convexity on Affine Grassmann Manifolds (2001) (1)
Editors' foreword (1992) (0)
A REPRESENTATION THEOREM FOR GENERIC LINE ARRANGEMENTS IN THE PLANE (2020) (0)
On the combinatorial complexity of the space of hyperplane transversals (1990) (0)
Algorithms in Combinatorial Geometry. By Herbert Edelsbrunner (1989) (0)
Editors' notice (1993) (0)
Letters to the editor (1965) (0)
Transversal and Helly-type Theorems in Geometry, Combinatorics and Topology (2009) (0)
Modeling planar configurations (1985) (0)
Preface (1986) (0)
Valedictory Editorial (2010) (0)
Image Retrieval using Harris Corners and Histogram of Oriented Gradients (2020) (0)
INTRODUCTION (1985) (0)
Double-permutation sequences and pseudoline transversals (2005) (0)
PREFACE (1985) (0)
Twentieth Anniversary Volume: Discrete & Computational Geometry (2008) (0)
Analyzing Fan Attendance After Lockouts (2012) (0)
One-way link (1999) (0)
Job Performance: Improvement Needed. (1974) (0)
CREMONA CONVEXITY, FRAME CONVEXITY, (2005) (0)
In The Beginning… (2020) (0)

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