David B. A. Epstein

David B. A. Epstein's AcademicInfluence.com Rankings

David B. A. Epstein

Mathematics

#1086

World Rank

#1848

Historical Rank

Measure Theory

#1502

World Rank

#1873

Historical Rank

mathematics Degrees

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Mathematics

Why Is David B. A. Epstein Influential?

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According to Wikipedia, David Bernard Alper Epstein FRS is a mathematician known for his work in hyperbolic geometry, 3-manifolds, and group theory, amongst other fields. He co-founded the University of Warwick mathematics department with Christopher Zeeman and is founding editor of the journal Experimental Mathematics.

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David B. A. Epstein'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

Word processing in groups (1992) (1290)
Curves on 2-manifolds and isotopies (1966) (438)
Three-dimensional manifolds (1960) (296)
Euclidean decompositions of noncompact hyperbolic manifolds (1988) (254)
The simplicity of certain groups of homeomorphisms (1970) (159)
Foliations with all leaves compact (1976) (149)
Fundamentals of Hyperbolic Manifolds: CONVEX HULLS IN HYPERBOLIC SPACE, A THEOREM OF SULLIVAN, AND MEASURED PLEATED SURFACES (2006) (149)
The second bounded cohomology of word-hyperbolic groups (1997) (140)
Periodic Flows on Three-Manifolds (1972) (136)
Micro‐Net: A unified model for segmentation of various objects in microscopy images (2018) (131)
Fast and Accurate Tumor Segmentation of Histology Images using Persistent Homology and Deep Convolutional Features (2018) (115)
FINITE PRESENTATIONS OF GROUPS AND 3-MANIFOLDS (1961) (102)
Natural triangulations associated to a surface (1988) (97)
Projective Planes in 3‐Manifolds† (1961) (96)
Glandular Morphometrics for Objective Grading of Colorectal Adenocarcinoma Histology Images (2017) (96)
Quasiconformal homeomorphisms and the convex hull boundary (2004) (91)
An exposition of Poincar'e''s Polyhedron Theorem (1994) (86)
Geometric and Computational Perspectives on Infinite Groups (1995) (84)
Natural tensors on Riemannian manifolds (1975) (79)
Fundamentals of hyperbolic geometry : selected expositions (2006) (72)
Cellular community detection for tissue phenotyping in colorectal cancer histology images (2020) (72)
Experimentation and proof in mathematics (1995) (70)
Almost all subgroups of a Lie group are free (1971) (64)
Leaves Without Holonomy (1977) (64)
Transformation Groups and Natural Bundles (1979) (60)
Pointwise Periodic Homeomorphisms (1981) (59)
The Use of Knuth-Bendix Methods to Solve the Word Problem in Automatic Groups (1991) (59)
Analytical and geometric aspects of hyperbolic space : Warwick and Durham 1984 (1987) (55)
Dense Steerable Filter CNNs for Exploiting Rotational Symmetry in Histology Images (2020) (51)
MIMO-Net: A multi-input multi-output convolutional neural network for cell segmentation in fluorescence microscopy images (2017) (49)
Functors between tensored categories (1966) (49)
Persistent Homology for Fast Tumor Segmentation in Whole Slide Histology Images (2016) (49)
A Counterexample to the Periodic Orbit Conjecture in Codimension 3 (1978) (47)
Expanding endomorphisms of flat manifolds (1968) (46)
The degree of a map (1966) (46)
Steenrod operations in homological algebra (1966) (43)
High Resolution Tracking of Cell Membrane Dynamics in Moving Cells: an Electrifying Approach (2010) (37)
Non-β-cell progenitors of β-cells in pregnant mice (2010) (37)
Novel digital signatures of tissue phenotypes for predicting distant metastasis in colorectal cancer (2018) (36)
Toponome imaging system: in situ protein network mapping in normal and cancerous colon from the same patient reveals more than five-thousand cancer specific protein clusters and their subcellular annotation by using a three symbol code. (2010) (34)
The Linearity of the Conjugacy Problem in Word-hyperbolic Groups (2006) (33)
A topology for the space of foliations (1977) (32)
Growth Functions and Automatic Groups (1996) (32)
Geometric Structures on Manifolds (1982) (31)
The logarithmic spiral : a counterexample to the K=2 conjecture (2005) (28)
Cohomology Operations (AM-50), Volume 50: Lectures by N.E. Steenrod. (AM-50) (1963) (23)
Rota-Net: Rotation Equivariant Network for Simultaneous Gland and Lumen Segmentation in Colon Histology Images (2019) (22)
Hyper-Stain Inspector: A Framework for Robust Registration and Localised Co-Expression Analysis of Multiple Whole-Slide Images of Serial Histology Sections (2017) (22)
RAMTaB: Robust Alignment of Multi-Tag Bioimages (2012) (22)
Embedding punctured manifolds (1965) (21)
Complex earthquakes and deformations of the unit disk (2006) (20)
Computation in Word-Hyperbolic Groups (1998) (20)
Tumor Segmentation in Whole Slide Images Using Persistent Homology and Deep Convolutional Features (2017) (19)
Measures on Sigma‐Compact Manifolds and their Equivalence Under Homeomorphisms (1983) (19)
Cellular Community Detection for Tissue Phenotyping in Histology Images (2018) (19)
MIMONet: Gland Segmentation Using Multi-Input-Multi-Output Convolutional Neural Network (2017) (17)
Commutators ofC∞-diffeomorphisms. Appendix to “A Curious Remark Concerning the Geometric Transfer Map” by John N. Mather (1984) (17)
Stability of compact foliations (1977) (14)
THREE‐DIMENSIONAL GEOMETRY AND TOPOLOGY, VOLUME 1 (Princeton Mathematical Series 35) (2000) (13)
IMBEDDINGS OF REAL PROJECTIVE SPACES (1962) (12)
Toponome imaging system: multiplex biomarkers in oncology. (2012) (12)
DiSWOP: a novel measure for cell-level protein network analysis in localized proteomics image data (2014) (11)
Factorization of 3-manifolds (1962) (11)
Non beta cell progenitors of beta cells in pregnant mice (2009) (11)
Integrating semantic annotation and information visualization for the analysis of multichannel fluorescence micrographs from pancreatic tissue (2010) (11)
A Result on Free Products with Amalgamation (1962) (10)
A fast method for approximate registration of whole-slide images of serial sections using local curvature (2014) (9)
Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk (2007) (9)
FREE PRODUCTS WITH AMALGAMATION AND 3-MANIFOLDS (1961) (9)
Complex angle scaling (2003) (8)
Robust normalization protocols for multiplexed fluorescence bioimage analysis (2016) (8)
Re-Expression of IGF-II Is Important for Beta Cell Regeneration in Adult Mice (2012) (8)
The Theory of Sheaves. By Richard G. Swan. Chicago lectures in mathematics. (University of Chicago Press) (1966) (8)
Group Representations and Functors (1969) (8)
Functors between categories of vector spaces (1969) (8)
Simultaneous automatic scoring and co‐registration of hormone receptors in tumor areas in whole slide images of breast cancer tissue slides (2017) (7)
TIAToolbox as an end-to-end library for advanced tissue image analytics (2022) (7)
TIAToolbox: An End-to-End Toolbox for Advanced Tissue Image Analytics (2021) (7)
TOWARDS PROTEIN NETWORK ANALYSIS USING TIS IMAGING AND EXPLORATORY DATA ANALYSIS (2011) (7)
Natural vector bundles (1969) (7)
Low dimensional topology and Kleinian groups : Warwick and Durham, 1984 (1986) (7)
Fundamentals of Hyperbolic Manifolds: Earthquakes in 2-dimensional hyperbolic geometry (2006) (6)
Efficient computation in word-hyperbolic groups (2000) (6)
A group with zero homology (1968) (5)
Semisimplicial objects and the Eilenberg-Zilber theorem (1966) (5)
A way toward analyzing high-content bioimage data by means of semantic annotation and visual data mining (2009) (4)
A measure on the limit set (2006) (4)
A machine learning based system for multichannel fluorescence analysis in pancreatic tissue bioimages (2008) (4)
Curves on 2-manifolds: A counterexample (1966) (4)
CALCULUS OF FRACTIONS AND HOMOTOPY THEORY (1969) (3)
Knuth-Bendix For Groups With Infinitely Many Rules (2000) (3)
Convex Regions in the Plane and their Domes (2006) (3)
Mathematical Pearls: Free Products with Amalgamation and 3-Manifolds (1961) (2)
Computing and the cultures of proving. Dicussion (2005) (1)
Computers, groups and hyperbolic geometry (2019) (1)
Fundamentals of Hyperbolic Manifolds: NOTES ON NOTES OF THURSTON (2006) (1)
A 3-manifold which is not a product (1973) (1)
Novel digital tissue phenotypic signatures of distant metastasis in colorectal cancer (2018) (1)
Integrating automized Semantic Annotation and Information Visualization for the analysis of multichannel Fluorescence Micrographs from Pancreatic Tissue (2009) (1)
Transversely hyperbolic 1-dimensional foliations (2019) (1)
MARSTON MORSE: SELECTED PAPERS (1982) (0)
Spaces of hyberbolic manifolds (2006) (0)
Measured pleated surfaces (2006) (0)
Automatic Groups and Knuth-Bendix with Infinitely Many Rules (1998) (0)
CHAPTER VIII. Relations of Adem and the Uniqueness Theorem (1963) (0)
CHAPTER V. Equivariant Cohomology (1963) (0)
Geodesi s in word hyperboli groupsStephen (1999) (0)
(G, X)-structures (2006) (0)
Higher-Dimensional Isoperimetric Inequalities (1992) (0)
CHAPTER VI. Axiomatic Development of the Algebra (1963) (0)
CHAPTER IV. The Cohomology of Classical Groups and Stiefel Manifolds. (1963) (0)
Foliations and the epsilon distant surface (2006) (0)
The logarithmic spiral: a counterexample (2016) (0)
Fundamentals of Hyperbolic Manifolds: Hyperbolic structures (2006) (0)
Fundamentals of Hyperbolic Manifolds: Preface 2005 (2006) (0)
Foliations by Geodesic Circles (1978) (0)
Knuth { Bendix for groupswith in nitely many rules (1999) (0)
MODERN DIMENSION THEORY (1967) (0)
GENERAL COHOMOLOGY THEORY AND K‐THEORY (1974) (0)
Pluralism in mathematics. Discussion (2005) (0)
Non-combability of Hilbert modular groups (2016) (0)
CHAPTER II. The Dual of the Algebra (1963) (0)
APPENDIX: Algebraic Derivations of Certain Properties of the Steenrod Algebra (1963) (0)
CHARTER III. Embeddings of Spaces in Spheres (1963) (0)
CHAPTER VII. Construction of the Reduced Powers (1963) (0)
Note. A group with zero homology (1968) (0)
Hyper-Stain Inspector: A Framework for Robust Registration and Localised Co-Expression Analysis of Multiple Whole-Slide Images of Serial Histology Sections (2017) (0)
The problems with which we shall be concerned (2006) (0)
IGF-II reexpression in adult mice is essential for beta cell regeneration in vivo (2009) (0)
THE TOPOLOGY OF CLASSICAL GROUPS AND RELATED TOPICS (1973) (0)
Novel digital signatures of tissue phenotypes for predicting distant metastasis in colorectal cancer (2018) (0)
Glandular Morphometrics for Objective Grading of Colorectal Adenocarcinoma Histology Images (2017) (0)
A novel framework for exploratory analysis of highly variable morphology of migrating epithelial cells (2013) (0)
CHAPTER I. Axiomatic Development of the Steenrod Algebra (1963) (0)
Reversible and irreversible changes in arterial gene expression after initiation of hyperglycaemia in plus -MYCER mice in vivo (2007) (0)
Advances in Discovery of Complex Biomarkers for Colorectal Cancer Using Multiplexed Proteomics Imaging (2014) (0)

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David B. A. Epstein's Academic­Influence.com Rankings