De Witt Sumners | Academic Influence

De Witt Sumners's AcademicInfluence.com Rankings

De Witt Sumners

Mathematics

#7700

World Rank

#10449

Historical Rank

Topology

#57

World Rank

#82

Historical Rank

Measure Theory

#3625

World Rank

#4278

Historical Rank

mathematics Degrees

Download Badge

Mathematics

De Witt Sumners's Degrees

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

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is De Witt Sumners Influential?

(Suggest an Edit or Addition)

According to Wikipedia, De Witt Lee Sumners is an American mathematician, having been the Robert O. Lawton Distinguished Professor at Florida State University. He is known for his research in knot theory, topological fluid dynamics, and their application to DNA.

(See a Problem?)

De Witt Sumners'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

Knots in self-avoiding walks (1988) (278)
Knotting probability of DNA molecules confined in restricted volumes: DNA knotting in phage capsids (2002) (231)
DNA knots reveal a chiral organization of DNA in phage capsids. (2005) (204)
DNA–DNA interactions in bacteriophage capsids are responsible for the observed DNA knotting (2009) (173)
A calculus for rational tangles: applications to DNA recombination (1990) (151)
Investigation of viral DNA packaging using molecular mechanics models. (2002) (123)
Quasi-Conformally Flat Mapping the Human Cerebellum (1999) (114)
Entanglement complexity of self-avoiding walks (1992) (93)
Analysis of the mechanism of DNA recombination using tangles (1995) (93)
Topological friction strongly affects viral DNA ejection (2013) (91)
Entanglement complexity of graphs in Z3 (1992) (91)
The growth of the number of prime knots (1987) (88)
The topological mechanism of phage lambda integrase. (1999) (86)
Knotting of random ring polymers in confined spaces. (2005) (81)
Novel display of knotted DNA molecules by two-dimensional gel electrophoresis (2001) (76)
Simulations of knotting in confined circular DNA. (2008) (71)
Invertible knot cobordisms (1971) (71)
Bullied no more: when and how DNA shoves proteins around (2012) (67)
Lifting the Curtain : Using Topology to Probe the Hidden Action of Enzymes (1995) (61)
Tangle analysis of Gin site-specific recombination (2004) (59)
Solving tangle equations arising in a DNA recombination model (1999) (58)
Conservation of writhe helicity under anti-parallel reconnection (2014) (57)
On Random Knots (1994) (57)
Hin-mediated DNA knotting and recombining promote replicon dysfunction and mutation (2007) (57)
Tangle analysis of Xer recombination reveals only three solutions, all consistent with a single three-dimensional topological pathway. (2005) (55)
Mathematical approaches to biomolecular structure and dynamics (1996) (54)
Analyzing functional brain images in a probabilistic atlas: a validation of subvolume thresholding. (2000) (52)
The writhe of a self-avoiding polygon (1993) (52)
Maximization of Labor Productivity Through Optimal Rest-Break Schedules (1984) (51)
Mathematics of DNA structure, function and interactions (2009) (51)
The writhe of a self-avoiding walk (1994) (47)
Coordinate systems for conformal cerebellar flat maps (2000) (45)
Untangling DNA (1990) (41)
Rational tangle distances on knots and links (2000) (41)
Topology and geometry in polymer science (1998) (41)
The Writhe of Knots in the Cubic Lattice (1997) (41)
The knot theory of molecules (1987) (39)
A symbolic environment for visualizing activated foci in functional neuroimaging datasets (1998) (32)
Quantitative comparison and analysis of brain image registration using frequency-adaptive wavelet shrinkage (2002) (31)
The monodromy of reducible plane curves (1977) (28)
Linking phenomena in the amorphous phase of semicrystalline polymers (1986) (26)
Homology invariants of cyclic coverings with application to links (1972) (23)
Smooth _{}-actions on spheres which leave knots pointwise fixed (1975) (22)
On higher-dimensional fibered knots (1971) (21)
of the commutator subgroup of a knot group (1971) (20)
Computing the writhe on lattices (2006) (20)
Lectures on Topological Fluid Mechanics (2009) (19)
Homotopy torsion in codimension two knots (1970) (18)
On the homology of finite cyclic coverings of higher-dimensional links (1974) (18)
New Scientific Applications of Geometry and Topology (1992) (18)
Random knotting and linking (1994) (17)
Knotted ball pairs whose product with an interval is unknotted (1975) (16)
Entanglement complexity of lattice ribbons (1996) (15)
Applications of topology to DNA (1998) (12)
Polynomial invariants and the integral homology of coverings of knots and links (1972) (12)
Detecting knots in self-avoiding walks (1990) (12)
Random Knotting: Theorems, Simulations and Applications (2009) (10)
On an unlinking theorem (1972) (10)
Higher-dimensional slice knots (1966) (9)
Knotted Ball Pairs in Unknotted Sphere Pairs (1966) (9)
Applications of Frequency Dependent Wavelet Shrinkage to Analyzing Quality of Image Registration (2001) (9)
A short proof of finite monodromy for analytically irreducible plane curves (1974) (8)
Topology and geometry of biopolymers (1996) (8)
On embeddings of 1-dimensional compacta in a hyperplane in E4 (1970) (8)
DNA, Knots and Tangles (2011) (8)
CirclePack: Software for creating quasi-conformal flat maps of the brain (1999) (7)
THE WRITHE OF ORIENTED POLYGONAL GRAPHS (2008) (6)
ALMOST UNKNOTTED EMBEDDINGS OF GRAPHS IN Z3 AND HIGHER DIMENSIONAL ANALOGUES (2009) (6)
KNOTTED 2-SPHERES IN TUBES IN Z4 (2012) (6)
Symbolic representation of functional data: the corner-cube environment (1996) (5)
Counting closed 2-manifolds in tubes in hypercubic lattices (2015) (5)
Use of cerebellar landmarks to define a coordinate system and an isolation strategy (2000) (4)
Many different disk knots with the same exterior (1981) (4)
Using Knot Theory to Analyze DNA Experiments (1988) (4)
Publisher’s Note: “Knotting of random ring polymers in confined spaces” [J. Chem. Phys.124, 064903 (2006)] (2006) (4)
DNA Knots: Theory and Experiments (2011) (4)
There exist arbitrarily many different disk knots with the same exterior (1982) (3)
The Role of Knot Theory in DNA Research (2020) (3)
Zero helicity of Seifert framed defects (2021) (3)
Construction of a “Goodness of Warp” Measure (1998) (2)
SOME PROBLEMS IN APPLIED KNOT THEORY, AND SOME PROBLEMS IN GEOMETRIC TOPOLOGY (1988) (2)
Shorter Notes: H 2 of the Commutator Subgroup of a Knot Group (1971) (2)
CORTICAL SURFACE FLATTENING : A QUASICONFORMAL APPROACH USING CIRCLE PACKINGS (2001) (2)
Topology of viral DNA (2010) (1)
Image Analysis and Processing : Edited by V. Cantoni V.Di Gesú and S. Levialdi, Plenum Press, New York, 1988. ISBN 429012, 518 pages plus page Index (1990) (1)
Tangle analysis of Gin site-specific recombination 567 (2004) (1)
Complexity measures for random knots (1990) (1)
Topological aspects of DNA function and protein folding. (2013) (1)
DNA Topology: Experiments and Analysis De Witt SUMNERS (2007) (0)
A quasi-conformal flat map of the cerebellar cortex (1999) (0)
Knot spectrum of confined self-avoiding rings(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology) (2009) (0)
A note of an example of Poenaru (1972) (0)
Reconnection In Biology and Physics (2013) (0)
A random walk with Stu Whittington (2018) (0)
USING DNA KNOTS TO ASSAY VIRAL GENOME PACKING (2011) (0)
Simulations of Viral DNA Packaging and Ejection: Geometrical Order and Topological Disorder (2011) (0)
HOMOTOPY TORSION IN CODIMENSION TWO KNOTS1 (2010) (0)
Cerebellar Isolation , Parcellation , and Conformal Mapping (2008) (0)
Applications of Algebraic and Computational Topology in Biology and Chemistry (1991) (0)
Cerebellar isolation, parcellation, and conformal surface mapping (2001) (0)
DNA Knots : Theory and Experiments(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins) (2011) (0)
Generating conformal flat maps of the cortical surface via circle packing (1999) (0)
Erratum: A random walk with Stu Whittington (Sumners 2018 J. Phys. A: Math. Theor. 51 490201) (2019) (0)
SMOOTH Z-ACTIONS ON SPHERES WHICH LEAVEp KNOTS POINTWISE FIXEDÍ 1 ) (2010) (0)
CORTICAL SURFACE FLATTENING : A DISCRETE CONFORMAL APPROACH USING CIRCLE PACKINGS (2004) (0)

This paper list is powered by the following services:

Other Resources About De Witt Sumners

en.wikipedia.org

What Schools Are Affiliated With De Witt Sumners?

De Witt Sumners is affiliated with the following schools: