Jerome Levine

Q: What Schools Are Affiliated With Jerome Levine

Jerome Levine is affiliated with the following schools: University of California, Berkeley, Princeton University, Massachusetts Institute of Technology, Brandeis University

Jerome Levine's AcademicInfluence.com Rankings

Jerome Levine

Mathematics

#5561

World Rank

#7818

Historical Rank

#1808

USA Rank

Measure Theory

#2382

World Rank

#2849

Historical Rank

#676

USA Rank

mathematics Degrees

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Mathematics

Jerome Levine's Degrees

PhD Mathematics Princeton University

Why Is Jerome Levine Influential?

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According to Wikipedia, Jerome Paul Levine was a mathematician who contributed to the understanding of knot theory. Education and career Born in New York City, Levine received his B.S. from Massachusetts Institute of Technology in 1958, and his Ph.D. in mathematics from Princeton University in 1962, studying under Norman Steenrod. He began his career as an instructor at M.I.T., after which he spent a year at the University of Cambridge under a National Science Foundation postdoctoral fellowship. He became a professor at the University of California, Berkeley in 1964, and in 1966 he left for Brandeis University. His early work helped to develop surgery as a powerful tool in knot theory and in geometric topology. In 1970 he was an Invited Speaker at the International Congress of Mathematicians in Nice.

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Jerome Levine'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

Knot cobordism groups in codimension two (1969) (346)
Invariants of knot cobordism (1969) (204)
Polynomial Invariants of Knots of Codimension Two (1966) (184)
Knot modules. I (1977) (159)
An algebraic classification of some knots of codimension two (1970) (155)
Unknotting spheres in codimension two (1965) (116)
A Classification of Differentiable Knots (1965) (113)
Homology cylinders: an enlargement of the mapping class group (2000) (89)
Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism (1999) (81)
Fibering manifolds over a circle (1965) (80)
A characterization of knot polynomials (1965) (79)
Link invariants via the eta invariant (1994) (75)
Finding a Boundary for an Open Manifold (1965) (70)
An approach to homotopy classification of links (1988) (63)
Finite type {3}-manifold invariants, the mapping class group and blinks (1996) (54)
Lectures on groups of homotopy spheres (1985) (52)
Link concordance and algebraic closure of groups (1989) (49)
Link concordance and algebraic closure, II (1989) (47)
Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group” (2002) (44)
A Method for Generating Link Polynomials (1967) (37)
Metabolic and hyperbolic forms from knot theory (1989) (35)
Finite type 3-manifold invariants and the structure of the Torelli group. I (1996) (34)
Some results on higher dimensional knot groups (1978) (29)
Classical Circuit Theory (1980) (28)
On finite type 3-manifold invariants II (1995) (27)
Self-Equivalences of S n × S k (1969) (27)
Jumps of the eta-invariant (1994) (25)
Doubly sliced knots and doubled disk knots. (1983) (24)
Labeled binary planar trees and quasi-Lie algebras (2005) (24)
Algebraic Structure of Knot Modules (1980) (24)
Homology surgery and invariants of 3-manifolds. (2000) (23)
Surgery on links and the ḡm-invariants (1987) (20)
Morse theory of harmonic forms (1997) (20)
On differentiable imbeddings of simply-connected manifolds (1963) (20)
Imbedding and immersion of real projective spaces (1963) (19)
Semi-free circle actions on spheres (1973) (18)
Self-equivalences of ⁿ×^{} (1969) (18)
Pure braids, a new subgroup of the mapping class group and finite type invariants (1997) (18)
The Conway Polynomial Of An Algebraically Split Link (1996) (17)
Homology boundary links and the andrews–curtis conjecture (1991) (17)
A factorization of the Conway polynomial (1997) (17)
Concordance and 1-loop clovers (2001) (15)
The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres (2004) (14)
On finite type 3-manifold invariants IV: comparison of definitions (1995) (14)
Signature invariants of homology bordism with applications to links (1992) (12)
The module of a 2-component link (1982) (11)
ANALYTIC INVARIANTS OF BOUNDARY LINKS (2001) (10)
Links with vanishing homotopy invariant (1993) (10)
Finitely-presented groups with long lower central series (1991) (8)
CONCORDANCE OF BOUNDARY LINKS (2003) (8)
Completion of proof (1980) (5)
An Enlargement of the Mapping Class Group (2002) (5)
Jumps of the eta-invariant (1996) (5)
Homology Cylinders: an Expansion of the Mapping Class Group (2000) (5)
The \bar \mu-invariants of based links (1988) (4)
Local Moves and Gordian Complexes , II (2007) (3)
Symmetric presentation of link modules (1988) (3)
Δi of finite modules (1980) (3)
Imbedding and isotopy of spheres in manifolds (1964) (3)
TWISTED ALEXANDER POLYNOMIALS AND SYMPLECTIC STRUCTURES (2008) (2)
ON OBSTRUCTIONS IN SPHERE BUNDLES AND IMMERSION OF MANIFOLDS (1963) (2)
Finite type invariants, the mapping class group and blinks (1997) (2)
Addendum to: “Invariants of K not cobordism” (1969) (2)
Combinatorial and Umbral Methods for Orthogonal Polynomials (2001) (1)
Classification of Π-primary modules (1980) (0)
Statement of realization theorem (1980) (0)
Homogeneous and elementary modules (1980) (0)
Subject Index Vol. 33, 1996 (1996) (0)
A computable Dedekind criterion (1980) (0)
A non-semi-homogeneous module (1980) (0)
TWISTED ALEXANDER POLYNOMIALS AND SYMPLECTIC STRUCTURES By STEFAN FRIEDL (2006) (0)
Realization of elementary modules (1980) (0)
Correction to "Homology cylinders: an enlargement of the mapping class group" (2002) (0)
Classification fails in degree 4 (1980) (0)
Norm criterion for a non-singular lattice (1980) (0)
MAPPING CLASS GROUP AND BLINKS (2008) (0)
Inductive recovery of derived sequences (1980) (0)
Computation of low-degree cases (1980) (0)
Product structure on semi-homogeneous modules (1980) (0)
Contents, Vol. 33, 1996 (1996) (0)
DEFORMATIONS OF REPRESENTATIONS AND COHOMOLOGY (2003) (0)
Subject Index Vol. 40, 1999 (1999) (0)
Rational classification of product structure (1980) (0)
Z-torsion-free modules (1980) (0)
SELF-EQUIVALENCES OF Sn x S " ? ) (2010) (0)
Product structure on Π-primary modules (1980) (0)
Realization of finite modules (1980) (0)
Classification of derived product structure (1980) (0)
FINITE TYPE 3-MANIFOLD INVARIANTS , THE MAPPINGCLASS GROUP AND BLINKSSTAVROS GAROUFALIDIS AND JEROME LEVINEThis (1996) (0)
Non-singular lattices over a Dedekind domain (1980) (0)
Product structure on finite modules (1980) (0)
Inductive construction of derived sequences (1980) (0)
The quqdratic symetric case (1980) (0)
Dedekind criterion: p-adic reduction (1980) (0)
Realization of product structure on homogeneous modules (1980) (0)
Π-only torsion (1980) (0)
The derived exact sequences (1980) (0)
Classification of product structure (1980) (0)
Determination of ideal class group (1980) (0)
Contents Vol. 40, 1999 (1999) (0)
Classification of elementary modules (1980) (0)

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What Schools Are Affiliated With Jerome Levine?

Jerome Levine is affiliated with the following schools:

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