Ralph Louis Cohen

Ralph Louis Cohen's AcademicInfluence.com Rankings

Ralph Louis Cohen

Mathematics

#1479

World Rank

#2419

Historical Rank

#609

USA Rank

Measure Theory

#3988

World Rank

#4699

Historical Rank

#1135

USA Rank

mathematics Degrees

Download Badge

Mathematics

Ralph Louis Cohen's Degrees

PhD Mathematics Stanford University

Why Is Ralph Louis Cohen Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Ralph Louis Cohen is an American mathematician, specializing in algebraic topology and differential topology. Career Cohen received his bachelor's degree from the University of Michigan in 1973 and his Ph.D. in 1978 from Brandeis University where he worked under the supervision of Edgar H. Brown, Jr. His thesis was titled On Odd Primary Stable Homotopy Theory. He did his postdoctoral training as an L.E. Dickson Instructor at the University Chicago, and then became an Assistant Professor of Mathematics at Stanford University in 1980. In 1983, he became an Associate Professor and was promoted to Full Professor in 1987. Cohen is now the Barbara Kimball Browning Professor of Mathematics at Stanford. He was Chair of the Mathematics Department from 1992 to 1995, from 1999 to 2009 he was the Director of the Mathematics Research Center at Stanford, and from 2010 to 2016 was the Senior Associate Dean for the Natural Sciences in the School of Humanities and Sciences.

(See a Problem?)

Ralph Louis Cohen'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 homotopy theoretic realization of string topology (2001) (262)
Immersions of manifolds. (1982) (215)
Floer's infinite dimensional Morse theory and homotopy theory (1994) (144)
The Loop Homology Algebra of Spheres and Projective Spaces (2002) (125)
The topology of rational functions and divisors of surfaces (1991) (99)
A polarized view of string topology (2003) (89)
The Immersion Conjecture for Differentiable Manifolds (1985) (89)
Topological Hochschild homology of Thom spectra and the free loop space (2008) (58)
String Topology and Cyclic Homology (2006) (49)
Surfaces in a background space and the homology of mapping class groups (2006) (41)
Notes on string topology (2005) (39)
Odd Primary Infinite Families in Stable Homotopy Theory (2005) (39)
Stable proofs of stable splittings (1980) (37)
The homotopy invariance of the string topology loop product and string bracket (2005) (33)
MULTIPLICATIVE PROPERTIES OF ATIYAH DUALITY (2004) (32)
On the algebraic $K$-theory of simply connected spaces (1996) (30)
The cyclic groups and the free loop space (1987) (29)
Secondary cohomology operations that detect homotopy classes (1984) (26)
Higher String Topology on General Spaces (26)
Open-closed field theories, string topology, and Hochschild homology (2009) (23)
The topology of the category of open and closed strings (2004) (21)
The free loop space and the algebraic k-theory of spaces (1987) (20)
Rational Functions, Labelled Configurations, and Hilbert Schemes (1991) (20)
The geometry ofΩ2S3 and braid orientations (1979) (20)
STABILITY FOR HOLOMORPHIC SPHERES AND MORSE THEORY (1999) (20)
Topology, Geometry and Quantum Field Theory: A polarized view of string topology (2004) (20)
FOURIER DECOMPOSITIONS OF LOOP BUNDLES (2002) (18)
Bundles over configuration spaces. (1983) (18)
The homotopy type of rational functions (1993) (17)
The Kervaire invariant of immersions (1985) (16)
Morse field theory (2005) (16)
The Floer Homotopy Type of the Cotangent Bundle (2007) (16)
A model for the free loop space of a suspension (1987) (16)
MORSE THEORY, GRAPHS, AND STRING TOPOLOGY (2004) (15)
The Adams spectral sequence of the real projective spaces. (1988) (14)
The Homotopy Type of Gauge Theoretic Moduli Spaces (1994) (14)
String topology of Poincaré duality groups (2005) (13)
A Morse theoretic description of string topology (2008) (13)
Stability phenomena in the topology of moduli spaces (2009) (13)
Holomorphic K-Theory, Algebraic Co-cycles, and Loop Groups (1999) (12)
A pr 2 00 4 A polarized view of string topology (2008) (11)
Algebraic K-theory of spaces and the Novikov conjecture (1990) (11)
Monopoles, braid groups, and the dirac operator (1993) (11)
Stability for closed surfaces in a background space (2010) (11)
Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners (2008) (9)
Representations of Brown-Gitler spectra (1980) (8)
Gauge theory and string topology (2013) (8)
On the homotopy invariance of string topology (2004) (7)
Universal moduli spaces of surfaces with flat bundles and cobordism theory (2009) (6)
The exotic side of the method (1981) (6)
Lectures on immersion theory (1989) (5)
THOM SPECTRA OF GENERALIZED BRAID GROUPS (1997) (5)
Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford University (2001) (4)
XV. A Decomposition of The Space of Generalized Morse Functions (1988) (4)
Realizing transfer maps for ramified coverings (1986) (3)
An algebraic geometric realization of the Chern character. (1999) (3)
Morse theory via moduli spaces (1992) (3)
Universal moduli spaces of surfaces with flat connections and cobordism theory (2008) (2)
Floer homotopy theory, revisited (2019) (2)
Homotopy and geometric perspectives on string topology (2005) (1)
IV. The Adams Spectral Sequence of Ω2S3 and Brown Gitlet Spectra (1988) (1)
Algebraic topology : proceedings of an International Conference held in Arcata, California, July 27-August 2, 1986 (1989) (1)
Homotopy automorphisms of R-module bundles, and the K-theory of string topology (2013) (1)
String Topology: Homotopy and Geometric Perspectives (2006) (1)
Pseudo-isotopies, K-theory, and homotopy theory (1987) (1)
Immersions of manifolds and homotopy theory (2022) (1)
0 50 96 81 v 1 2 8 Se p 20 05 Morse field theory (2005) (0)
Twisted Calabi–Yau ring spectra, string topology, and gauge symmetry (2018) (0)
STRING TOPOLOGY AND THE BASED LOOP SPACE A DISSERTATION SUBMITTED TO THE DEPARTMENT OF MATHEMATICS AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY (2010) (0)
Acknowledgments (1992) (0)
Ja n 20 06 Surfaces in a background space and the homology of mapping class groups (2009) (0)
Homotopy automorphisms of R-module bundles, and the K-theory of string topology (2016) (0)
Panel discussion on uses of synchrotron radiation (2008) (0)
A New AMS Journal Launching in 2021 (2021) (0)
2 8 Fe b 20 03 A polarized view of string topology (2002) (0)
Title ORDER OF THE CANONICAL VECTOR BUNDLE OVERCONFIGURATION SPACES OF PROJECTIVE SPACES (0)
2 8 M ar 2 00 4 Multiplicative properties of Atiyah duality (2009) (0)
A T ] 5 N ov 2 00 4 Multiplicative properties of Atiyah duality (2008) (0)
K and L-theory (1989) (0)
Holomorphic spheres in loop groups and Bott periodicity (1999) (0)
Floer homotopy theory, new and old (2022) (0)
Successful conference. (1982) (0)
2 2 O ct 2 00 2 FOURIER DECOMPOSITIONS OF LOOP BUNDLES (2004) (0)
Discussion of Presentation by D. Raskin (1982) (0)
Contemporary Mathematics Fourier Decompositions of Loop Bundles (2007) (0)
N ov 2 00 5 String topology of Poincaré duality groups (2005) (0)
S.-T. Yau at Stanford (2019) (0)
Immersions of manifolds ( normal bundle / classifying space / Thom space (0)
ar X iv : m at h / 04 11 27 2 v 1 [ m at h . G T ] 1 1 N ov 2 00 4 Morse theory , graphs , and string topology (2008) (0)
Gauge theory and string topology (2016) (0)
4 S ep 2 00 8 A Morse theoretic description of string topology (2008) (0)
ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES (0)

This paper list is powered by the following services:

Other Resources About Ralph Louis Cohen

What Schools Are Affiliated With Ralph Louis Cohen?

Ralph Louis Cohen is affiliated with the following schools:

Ralph Louis Cohen's Academic­Influence.com Rankings