Tim Cochran | Academic Influence

Tim Cochran's AcademicInfluence.com Rankings

Tim Cochran

Mathematics

#4975

World Rank

#7030

Historical Rank

#1665

USA Rank

Measure Theory

#4215

World Rank

#4968

Historical Rank

#1183

USA Rank

mathematics Degrees

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Mathematics

Tim Cochran's Degrees

PhD Mathematics Princeton University

Why Is Tim Cochran Influential?

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According to Wikipedia, Thomas "Tim" Daniel Cochran was a professor of mathematics at Rice University specializing in topology, especially low-dimensional topology, the theory of knots and links and associated algebra. Education and career Tim Cochran was a valedictorian for the Severna Park High School Class of 1973. Later, he was an undergraduate at the Massachusetts Institute of Technology, and received his Ph.D. from the University of California, Berkeley in 1982 . He then returned to MIT as a C.L.E. Moore Postdoctoral Instructor from 1982 to 1984. He was an NSF postdoctoral fellow from 1985 to 1987. Following brief appointments at Berkeley and Northwestern University, he started at Rice University as an associate professor in 1990. He became a full professor at Rice University in 1998. He died unexpectedly, aged 59, on December 16, 2014, while on a year-long sabbatical leave supported by a fellowship from the Simons Foundation.

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Tim Cochran'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 concordance, Whitney towers and L^2 signatures (1999) (256)
Derivatives of links : Milnor's concordance invariants and Massey's products (1990) (143)
Noncommutative knot theory. (2002) (124)
Structure in the classical knot concordance group (2002) (120)
Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and Property P (1988) (108)
Not all links are concordant to boundary links (1990) (95)
Geometric invariants of link cobordism (1985) (71)
Knot concordance and higher-order Blanchfield duality (2007) (65)
Unknotting information from 4-manifolds (1986) (62)
Concordance invariance of coefficients of Conway's link polynomial (1985) (58)
Primary decomposition and the fractal nature of knot concordance (2009) (50)
Filtering smooth concordance classes of topologically slice knots (2012) (49)
Finite type invariants of 3-manifolds (1998) (47)
Ribbon Knots in S4 (1983) (45)
Knot concordance and von Neumann $\rho$-invariants (2004) (44)
On the homotopy theory of simply connected four manifolds (1990) (41)
Link concordance invariants and homotopy theory (1987) (39)
Dehn surgery equivalence relations on 3-manifolds (2001) (38)
Homology and derived p‐series of groups (2004) (34)
Knot concordance and homology cobordism (2011) (33)
Stability of lower central series of compact 3-Manifold groups (1998) (29)
Link concordance and generalized doubling operators (2008) (29)
2‐torsion in the n‐solvable filtration of the knot concordance group (2009) (28)
Injectivity of satellite operators in knot concordance (2012) (26)
Higher-order Alexander invariants and filtrations of the knot concordance group (2004) (25)
HOMOLOGY BOUNDARY LINKS AND BLANCHFIELD FORMS: CONCORDANCE CLASSIFICATION AND NEW TANGLE-THEORETIC CONSTRUCTIONS (1994) (23)
New Constructions of Slice Links (2007) (22)
Homology and derived series of groups II: Dwyer’s Theorem (2006) (21)
Derivatives of Knots and Second-order Signatures (2008) (21)
Quantum cyclotomic orders of 3-manifolds☆ (1998) (21)
Structure in the bipolar filtration of topologically slice knots (2012) (19)
Homology boundary links and the andrews–curtis conjecture (1991) (17)
On an invariant of link cobordism in dimension four (1984) (15)
Counterexamples to Kauffman's conjectures on slice knots (2013) (14)
Slice links in (1984) (13)
Embedding 4-manifolds in S5 (1984) (13)
cobordism for links in (1991) (13)
Dehn Surgery Equivalence Relations on Three-Manifolds (1998) (12)
The geometry of the knot concordance space (2014) (11)
Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders (2010) (11)
Slice Links in S 4 (1984) (11)
Knot concordance and Blanchfield duality (2007) (10)
Shake slice and shake concordant knots (2015) (9)
Invariants of tangles (1989) (9)
Positive Links (2013) (7)
Links with trivial Alexander's module but non-vanishing massey products (1990) (6)
A topological proof of Stallings' theorem on lower central series of groups (1985) (6)
Non-trivial links and plats with trivial Gassner matrices (1996) (6)
HOMOLOGY COBORDISM AND GENERALIZATIONS OF MILNOR'S INVARIANTS (1999) (6)
Homology cobordism and Seifert fibered 3 -manifolds (2012) (5)
HOMOLOGICAL STABILITY OF SERIES OF GROUPS (2008) (5)
NEW EXAMPLES OF TOPOLOGICALLY SLICE KNOTS AND LINKS (2006) (4)
The Milnor degree of a 3‐manifold (2009) (4)
Grope metrics on the knot concordance set (2015) (4)
The growth rate of the first Betti number in abelian covers of 3-manifolds (2005) (4)
4-Manifolds which embed in ℝ6ℝ5, and Seifert manifolds for fibered knots (1984) (3)
Cut open null-bordisms and derivatives of slice knots (2015) (2)
LINK CONCORDANCE AND HIGHER-ORDER BLANCHFIELD DUALITY (2008) (1)
Rational knot concordance and homology cobordism (2010) (0)
Quantum cyclotomic orders of 3-manifoldsq (0)
Localization and finiteness in link concordance (1989) (0)
Non-triviality of the Cochran-Orr-Teichner filtration of the knot concordance group (2004) (0)
THE CASSON-GORDON INVARIANT CONCORDANCE (2001) (0)
Finite Type Invariants for Three-Manifolds (1998) (0)
RELATIONS ON THREE-MANIFOLDS (1998) (0)
CLASSICAL LINK INVARIANTS AND THE HAWAIIAN EARRINGS SPACE (1992) (0)

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