Kenneth Millett | Academic Influence

Kenneth Millett's AcademicInfluence.com Rankings

Kenneth Millett

Mathematics

#3199

World Rank

#4774

Historical Rank

#1202

USA Rank

Measure Theory

#3587

World Rank

#4229

Historical Rank

#1035

USA Rank

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Mathematics

Kenneth Millett's Degrees

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

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Why Is Kenneth Millett Influential?

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According to Wikipedia, Kenneth C. Millett is a professor of mathematics at the University of California, Santa Barbara. His research concerns low-dimensional topology, knot theory, and the applications of knot theory to DNA structure; his initial is the "M" in the name of the HOMFLY polynomial.

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Kenneth Millett'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

A new polynomial invariant of knots and links (1985) (1110)
A polynomial invariant of oriented links (1987) (313)
Conservation of complex knotting and slipknotting patterns in proteins (2012) (210)
KnotProt: a database of proteins with knots and slipknots (2014) (157)
A polynomial invariant for unoriented knots and links (1986) (146)
Scaling behavior of random knots (2003) (109)
Linear Random Knots and Their Scaling Behavior (2005) (100)
Effect of Knotting on the Shape of Polymers (2008) (90)
Identifying knots in proteins. (2013) (65)
Leaves Without Holonomy (1977) (64)
FOLIATIONS WITH ALL LEAVES COMPACT (1977) (60)
KNOTTING OF REGULAR POLYGONS IN 3-SPACE (1994) (57)
KnotProt 2.0: a database of proteins with knots and other entangled structures (2018) (53)
Description of the topological entanglement of DNA catenanes and knots by a powerful method involving strand passage and recombination. (1987) (50)
Some evaluations of link polynomials (1986) (50)
The Average Crossing Number of Equilateral Random Polygons (2003) (43)
Knotting pathways in proteins. (2013) (42)
The New Polynomial Invariants of Knots and Links. (1988) (40)
The linking number and the writhe of uniform random walks and polygons in confined spaces (2009) (36)
LinkProt: a database collecting information about biological links (2016) (34)
The reversing result for the Jones polynomial. (1986) (34)
Scaling Behavior and Equilibrium Lengths of Knotted Polymers (2008) (32)
Energy, ropelength, and other physical aspects of equilateral knots (2003) (32)
MONTE CARLO EXPLORATIONS OF POLYGONAL KNOT SPACES (2000) (29)
Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences (2005) (26)
Total Curvature and Total Torsion of Knotted Polymers (2007) (26)
TYING DOWN OPEN KNOTS: A STATISTICAL METHOD FOR IDENTIFYING OPEN KNOTS WITH APPLICATIONS TO PROTEINS (2005) (26)
How topoisomerase IV can efficiently unknot and decatenate negatively supercoiled DNA molecules without causing their torsional relaxation (2016) (25)
Writhe and mutual entanglement combine to give the entanglement length. (2013) (24)
Generic smooth maps of surfaces (1984) (24)
Subknots in ideal knots, random knots, and knotted proteins (2015) (23)
A Study of the Entanglement in Systems with Periodic Boundary Conditions(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins) (2010) (23)
The Generation of Random Equilateral Polygons (2011) (22)
Knot localization in proteins. (2013) (20)
Topological Methods for Polymeric Materials: Characterizing the Relationship Between Polymer Entanglement and Viscoelasticity (2017) (19)
Random knotting and linking (1994) (17)
A LOAD BALANCED ALGORITHM FOR THE CALCULATION OF THE POLYNOMIAL KNOT AND LINK INVARIANTS (1991) (16)
POLYGONAL KNOT SPACE NEAR ROPELENGTH-MINIMIZED KNOTS (2005) (16)
Isotopy invariants of graphs (1991) (15)
Effect of knotting on polymer shapes and their enveloping ellipsoids. (2009) (15)
Stereotopological indices for a family of chemical graphs (1987) (14)
KNOTS, SLIPKNOTS, AND EPHEMERAL KNOTS IN RANDOM WALKS AND EQUILATERAL POLYGONS (2010) (12)
Quantifying Entanglement for Collections of Chains in Models with Periodic Boundary Conditions (2013) (11)
Physical Knots: Knotting, Linking, and Folding Geometric Objects in R3 : Ams Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 (2002) (11)
Making Large Lectures Effective: An Effort to Increase Student Success (2001) (11)
Characteristics of shape and knotting in ideal rings (2012) (11)
PyLink: a PyMOL plugin to identify links (2019) (11)
MINIMAL EDGE PIECEWISE LINEAR KNOTS (2008) (11)
Piecewise Linear Concordances and Isotopies (1974) (10)
Piecewise linear embeddings of manifolds (1975) (10)
Generic properties of proper foliations (1987) (9)
PHYSICAL KNOT THEORY: AN INTRODUCTION TO THE STUDY OF THE INFLUENCE OF KNOTTING ON THE SPATIAL CHARACTERISTICS OF POLYMERS (2011) (9)
UNIVERSAL CHARACTERISTICS OF POLYGONAL KNOT PROBABILITIES (2005) (8)
An evaluation of the F-polynomial of a link (1988) (8)
Configuration Census. Topological Chirality and the New Combinatorial Invariants (1986) (8)
Knots in knots: A study of classical knot diagrams (2016) (7)
Index theory of elliptic operators, foliations, and operator algebras : proceedings of the AMS special sessions held January 7, 1986 and April 11, 1986 (1988) (7)
GLN: a method to reveal unique properties of lasso type topology in proteins (2020) (6)
Knotting fingerprints resolve knot complexity and knotting pathways in ideal knots (2015) (5)
Resolving critical degrees of entanglement in Olympic ring systems (2016) (5)
On transforming a spatial graph into a plane graph (2010) (5)
The Length Scale of 3-Space Knots, Ephemeral Knots, and Slipknots in Random Walks(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins) (2011) (5)
Symmetry-breaking in cumulative measures of shapes of polymer models. (2010) (5)
A theorem of Borsuk—Ulam type for Seifert-fibred 3-manifolds (1986) (4)
Algebraic Topological Indices of Molecular Chirality (1991) (3)
Homotopy normal bundles for locally flat immersions and embeddings of topological manifolds (1969) (3)
Knotting and linking in macromolecules (2018) (2)
Homotopy groups of automorphism spaces (1975) (2)
Homotopy sequences of fibrations (1973) (2)
Normal structures for locally flat embeddings (1969) (2)
An Investigation of Polygonal Knot Spaces and Ideal Physical Knot Configurations (1)
Transversality for surfaces in foliated 3-manifolds (1985) (1)
Topological linking and entanglement in proteins (2020) (1)
Nonsingular sections to Euclidean bundles (1969) (1)
Algebraic and Geometric Topology (1978) (1)
Piecewise linear bundles in the metastable range (1976) (1)
HOMOTOPY TYPES OF SOME PL COMPLEXES (2007) (1)
Knot Theory, Jones’ Polynomials, Invariants of 3-Manifolds, and the Topological Theory of Fluid Dynamics (1992) (1)
A Mathematical Analysis of Knotting and Linking in Leonardo da Vinci ’ s Cartelle of the Accademia Vinciana (2014) (1)
Linking matrices in systems with periodic boundary conditions (2018) (1)
I Is a Quantization. 4. If We Modify the Multiplication of Links in F I (0)
The Harmony of the World: The New Polynomial Invariants of Knots and Links (2007) (0)
Obstructions to pseudoisotopy implying isotopy for embeddings. (1978) (0)
The HOMFLY-PT polynomial of the Conway and Kinoshita-Terasaka Knots (2021) (0)
AMS-MAA-MER Special Session on Mathematics and Education Reform, I (2005) (0)
Algebraic Topological Indexes of Molecular Chirality (1991) (0)
Sampling Spaces of Thick Polygons (2017) (0)
Cumulative Shapes of Knotted Polymers(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins) (2011) (0)
N ov 2 01 0 A study of the entanglement in systems with periodic boundary conditions (2010) (0)
Piecewise linear embeddings of balls into contractible manifolds (1978) (0)
TOPOLOGICAL QUANTUM FIELD THEORY AND INVARIANTS OF SPATIAL GRAPHS (1992) (0)
Entanglement transitions in one-dimensional confined fluid flows (2018) (0)
Knot Fingerprints Resolve Knot Complexity and Knotting Pathways in Tight Knots (2013) (0)
Resolving Knotting Complexity in Proteins and Tight Topological Knots (2013) (0)
A Conversation with Jason Latimer Math Major & Magician (2004) (0)
Algebraic and geometric topology : proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 25-29, 1977 (1978) (0)
Publisher’s Note: “Symmetry-breaking in cumulative measures of shapes of polymer models” [J. Chem. Phys. 133, 154113 (2010)] (2010) (0)
Linking in Systems with One-Dimensional Periodic Boundaries (2015) (0)
FileAttachment-annotations¿ ef ̇count = ¡number of embedded files¿, fa ̇count = ¡number of FileAttachment-annotations¿ LINKING MATRICES IN SYSTEMS WITH PERIODIC BOUNDARY (2016) (0)
Cumulative Shapes of Knotted Polymers (2011) (0)
Knots and Links in Fluid Flows – from helicity to knot energies (2015) (0)

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Other Resources About Kenneth Millett

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What Schools Are Affiliated With Kenneth Millett?

Kenneth Millett is affiliated with the following schools: