Academic Appointments


  • Professor, Mathematics

Administrative Appointments


  • Senior Associate Dean, Natural Sciences, College of Humanities and Sciences, Stanford University (2010 - Present)
  • Barbara Kimball Browning Professor, Humanities and Sciences, Stanford University (2009 - Present)
  • Inaugural Fellow, American Mathematical Society (2013 - 2013)
  • Distinguished Visiting Professor, University of Copenhagen, Denmark (2009 - 2010)
  • Fellow in Undergraduate Education, Bass University (2005 - 2010)
  • Professeur Invit´e, Univ. of Paris (2005 - 2005)
  • Visiting Professor, Trondheim University, Norway (2004 - 2004)
  • Professeur Invit´e, Univ. of Lille, France (2003 - 2003)
  • Visiting Professor, Oxford University (2002 - 2002)
  • Visiting Professor, Cambridge University (1997 - 1997)
  • Visiting Professor, Univ. of Paris (1989 - 1989)
  • Visiting Professor, Oxford University (1988 - 1989)
  • Professor of Mathematics, Stanford University (1987 - Present)
  • Associate Professor of Mathematics, Stanford University (1983 - 1987)
  • Assistant Professor of Mathematics, Stanford University (1980 - 1983)
  • Visiting Professor, Nankai Institute, China (1987 - 1987)
  • Visiting Professor, Princeton University (1983 - 1984)
  • L.E. Dickson Instructor of Mathematics, University of Chicago (1978 - 1980)
  • Visiting Professor, Northwestern University (1982 - 1982)

Honors & Awards


  • Dean’s Award for Distinguished Teaching, Stanford University (2002)
  • International research award, National Science Foundation (1988 - 1989)
  • Presidential Young Investigator Award, National Science Foundation (1984 - 1989)

Boards, Advisory Committees, Professional Organizations


  • Editor, Journal of Geometry and Topology (1997 - Present)
  • Editor, Homotopy, Homology, and its Applications (2004 - Present)
  • Chair, Editorial Board, Mathematical Surveys and Monographs, American Math. Society (2007 - Present)
  • Editor of Graduate Text Series, Oxford University, Press (1996 - Present)
  • Founding Editor, Journal of Topology (2007 - 2013)
  • Editor, Topology (1988 - 2007)
  • Editor, Proceedings of the American Mathematical Society (1997 - 2001)
  • Editor, Transactions of the American Mathematical Society, and of Memoirs of the American Mathematical Society (1985 - 1992)
  • Director, Stanford’s “Mathematics Research Center” (2000 - 2009)
  • Elected member, American Math. Society Executive Commitee
  • Member, Scientific Advisory Board, Banff International Research Station (2008 - 2012)
  • Member, American Mathematical Society (1975)
  • Senior Associate Dean for the Natural Sciences, School of Humanities of Sciences, Stanford University (2010 - Present)
  • Director, Mathematics Research Center, Stanford University (2000 - 2009)
  • University Academic Senate, Stanford University (2000 - 2002)
  • University Academic Senate, Stanford University (2005 - 2007)
  • University Academic Senate, Stanford University (2011 - 2013)
  • Chair, Academic Senate Committee on Committees, Stanford University (2011 - Present)
  • Chairman, Dept. of Mathematics, Stanford University (1992 - 1995)
  • Consultant to State Board of Education on K-12 Mathematics Content Standards, State of California (1997 - 2000)
  • California State Mathematics Framework Committee, State of California (1997 - 1997)
  • Co-founder, with R. Mazzeo, Stanford University Mathematics Camp (1995 - 1995)

Professional Education


  • Ph.D., Brandeis University, Mathematics (1978)
  • M.A., Brandeis University, Mathematics (1975)
  • B.S., University of Michigan, Mathematics (1973)

All Publications


  • MORSE FIELD THEORY ASIAN JOURNAL OF MATHEMATICS Cohen, R., Norbury, P. 2012; 16 (4): 661-711
  • Stability for closed surfaces in a background space Homology, Homotopy, and Applications Cohen, R. L. 2011; 13 (2): 301 - 313
  • The Floer Homotopy Type of the Cotangent Bundle PURE AND APPLIED MATHEMATICS QUARTERLY Cohen, R. L. 2010; 6 (2): 391-438
  • Stability phenomena in the topology of moduli spaces Surveys in Differential Geometry XIV Cohen, R. L. edited by Ji, L., Wolpert, S., Yau, S. T. International Press. 2010: 23 - 56
  • Topological Hochschild homology of Thom spectra and the free loop space GEOMETRY & TOPOLOGY Blumberg, A. J., Cohen, R. L., Schlichtkrull, C. 2010; 14 (2): 1165-1242
  • Universal moduli spaces of surfaces with flat bundles and cobordism theory ADVANCES IN MATHEMATICS Cohen, R. L., Galatius, S., Kitchloo, N. 2009; 221 (4): 1227-1246
  • Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners ALGEBRAIC TOPOLOGY: THE ABEL SYMPOSIUM 2007 Cohen, R. L. 2009; 4: 39-59
  • UMKEHR MAPS HOMOLOGY HOMOTOPY AND APPLICATIONS Cohen, R. L., Klein, J. R. 2009; 11 (1): 17-33
  • A Morse Theoretic Description of String Topology NEW PERSPECTIVES AND CHALLENGES IN SYMPLECTIC FIELD THEORY Cohen, R. L., Schwarz, M. 2009; 49: 147-172
  • Surfaces in a background space and the homology of mapping class groups PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS: ALGEBRAIC GEOMETRY SEATTLE 2005, VOL 80, PTS 1 AND 2 Cohen, R. L., Madsen, I. 2009; 80: 43-76
  • Open-closed field theories, string topology, and Hochschild homology ALPINE PERSPECTIVES ON ALGEBRAIC TOPOLOGY Blumberg, A. J., Cohen, R. L., Teleman, C. 2009; 504: 53-76
  • The homotopy invariance of the string topology loop product and string bracket JOURNAL OF TOPOLOGY Cohen, R. L., Klein, J. R., Sullivan, D. 2008; 1 (2): 391-408
  • String topology of Poincar´e duality groups Geometry and Topology Monographs Cohen, R. L., Abbaspour, H., Gruher, K. 2007; 13: 1 - 10
  • String topology: homotopy and geometric perspectives Encyclopedia of Mathematical Physics Cohen, R. L. edited by Francoise, J. P., Naber, G. L., T, T. S. Oxford: Elsevier. 2006: 111-114
  • String Topology and Cyclic Homology Adv. Courses in Math, CRM Cohen, R. L., Hess, K., Voronov, A. A. Birkhauser Verlag. 2006
  • Notes on String Topology String Topology and Cyclic Homology, Adv. Courses in Math: CRM, Barcelona, Cohen, R. L., Voronov, A. Birkhauser. 2006: 1 - 95
  • Morse theory, graphs, and string topology MORSE THEORETIC METHODS IN NONLINEAR ANALYSIS AND IN SYMPLECTIC TOPOLOGY Cohen, R. L. 2006; 217: 149-184
  • The topology of the category of open and closed strings RECENT DEVELOPMENTS IN ALGEBRAIC TOPOLOGY Baas, N. A., Cohen, R. L., Ramirez, A. 2006; 407: 11-26
  • The topology of the category of open and closed strings Contemporary Mathematics Cohen, R. L., Bass, N. A., Ramirez, A. 2005; 407: 11 - 26
  • A polarized view of string topology Topology, Geometry, and Quantum Field Theory, London Math. Soc. Lecture Notes Cohen, R. L., Godin, W. V. 2004; 308: 127 - 154
  • Multiplicative properties of Atiyah duality Homology, Homotopy, and its Applications Cohen, R. L. 2004; 6 (1): 269 - 281
  • Fourier decompositions of loop bundles Contemporary Mathematics Cohen, R. L., Stacey, A. 2004; 346: 85 - 95
  • The loop homology algebra of spheres and projective spaces CATEGORICAL DECOMPOSITION TECHNIQUES IN ALGEBRAIC TOPOLOGY Cohen, R. L., Jones, J. D., Yan, J. 2004; 215: 77-92
  • A homotopy theoretic realization of string topology MATHEMATISCHE ANNALEN Cohen, R. L., Jones, J. A. 2002; 324 (4): 773-798
  • Holomorphic K-theory, algebraic co-cycles, and loop groups K-THEORY Cohen, R. L., Lima, P. 2001; 23 (4): 345-376
  • Stability for holomorphic spheres and Morse theory Contemporary Mathematics Cohen, R. L., Segal, G., Jones, J. S. 2000; 258: 87 - 106
  • Holomorphic spheres in loop groups and Bott periodicity Asian Jour. of Math. Cohen, R. L., Lupercio, E., Segal, G. B. 1999; 3 (4): 801 - 818
  • On the algebraic K-theory of simply connected spaces DUKE MATHEMATICAL JOURNAL Bokstedt, M., Carlsson, G., Cohen, R., Goodwillie, T., HSIANG, W. C., Madsen, I. 1996; 84 (3): 541-563
  • Stabilizing moduli spaces of self dual connections Turkish Journal of Math. Cohen, R. L. 1995; 19: 179 - 187
  • Floer’s infinite dimensional Morse theory and homotopy theory Floer Memorial Volume, Birkhauser Verlag Prog. in Math. Cohen, R. L., Jones, J. S. 1995; 133: 287 - 325
  • The homotopy type of gauge theoretic moduli spaces Algebraic Topology and its Applications M.S.R.I publication series Cohen, R. L., Milgram, R. J. 1994; 27: 15 - 55
  • Moduli spaces of graphs and cohomology operations Turkish Journal of Math. Cohen, R., Betz, M. 1994; 18: 23 - 41
  • Algebraic Topology and its Applications M.S.R.I publication series Cohen, R. L. edited by Cohen, R. L., Carlsson, G., Jones, J. S., Hsiang, W. C. 1994; 27
  • MONOPOLES, BRAID-GROUPS, AND THE DIRAC OPERATOR COMMUNICATIONS IN MATHEMATICAL PHYSICS Cohen, R. L., Jones, J. D. 1993; 158 (2): 241-266
  • THE HOMOTOPY TYPE OF RATIONAL FUNCTIONS MATHEMATISCHE ZEITSCHRIFT Cohen, F. R., Cohen, R. L., Mann, B. M., Milgram, R. J. 1993; 213 (1): 37-47
  • Morse theory via moduli spaces Proceedings of workshop on gauge theory, Matematica Contemporanea, Soc. Brasileira de Matematica Cohen, R. L. 1992: 19 - 66
  • THE TOPOLOGY OF RATIONAL FUNCTIONS AND DIVISORS OF SURFACES ACTA MATHEMATICA Cohen, F. R., Cohen, R. L., Mann, B. M., Milgram, R. J. 1991; 166 (3-4): 163-221
  • Rational functions, labelled configurations, and Hilbert schemes Journal of the London Math. Society Cohen, R. L., Shimamoto, D. 1991; 43: 509 -528
  • ALGEBRAIC K-THEORY OF SPACES AND THE NOVIKOV-CONJECTURE TOPOLOGY Cohen, R. L., Jones, J. D. 1990; 29 (3): 317-344
  • Representations of braid groups and operators coupled to monopoles London Math. Society Lecture Note Series Cohen, R. L., Jones, J. S. 1990; 150: 191 - 205
  • LECTURES ON IMMERSION THEORY LECTURE NOTES IN MATHEMATICS Cohen, R. L., Tillmann, U. 1989; 1369: 71-124
  • Divisors and configurations on a surface Proceedings of the Conference in Algebraic Topology, Northwestern Univ. 1988, Contemporary Mathematics Cohen, R. L., Cohen, F., Mann, B., Milgram, R. J. 1989; 96: 103 - 108
  • Proceedings of the International Conference on Algebraic Topology Cohen, R. L. edited by Cohen, R. L., Carlsson, G., Miller, H., Ravene, D. 1989
  • Generalized Tate homology, homotopy fixed points, and the transfer Proceedings of the conference in Algebraic Topology, Northwestern Univ. 1988, Contemporary Mathematics Cohen, R. L., Adem, A., Dwyer, W. 1989; 96: 1 - 13
  • THE ADAMS SPECTRAL SEQUENCE OF THE REAL PROJECTIVE SPACES PACIFIC JOURNAL OF MATHEMATICS Cohen, R. L., Lin, W. H., Mahowald, M. E. 1988; 134 (1): 27-55
  • A MODEL FOR THE FREE LOOP SPACE OF A SUSPENSION LECTURE NOTES IN MATHEMATICS Cohen, R. L. 1987; 1286: 193-207
  • The free loop space and the algebraic K - theory of spaces K - theory Cohen, R. L., Carlsson, G., Goodwillie, T., Hsiang, W. 1987; 1: 53 - 82
  • Pseudo - isotopies, algebraic K - theory, and homotopy theory London Mathematics Society Lecture Note Ser. Cohen, R. L. 1987; 117: 35 - 72
  • A DECOMPOSITION OF THE SPACE OF GENERALIZED MORSE FUNCTIONS ANNALS OF MATHEMATICS STUDIES Cohen, R. L. 1987: 365-391
  • THE ADAMS SPECTRAL SEQUENCE OF OMEGA-2S3 AND BROWN GITLET SPECTRA ANNALS OF MATHEMATICS STUDIES Brown, E. H., Cohen, R. L. 1987: 101-125
  • The free loop space and the cyclic groups Commentari Math. Helvetici. Cohen, R. L., Carlsson, G. 1987; 62: 423 - 449
  • REALIZING TRANSFER MAPS FOR RAMIFIED COVERINGS PACIFIC JOURNAL OF MATHEMATICS Cohen, R. L. 1986; 122 (2): 347-356
  • THE IMMERSION CONJECTURE FOR DIFFERENTIABLE MANIFOLDS ANNALS OF MATHEMATICS Cohen, R. L. 1985; 122 (2): 237-328
  • THE KERVAIRE INVARIANT OF IMMERSIONS INVENTIONES MATHEMATICAE Cohen, R. L., Jones, J. D., Mahowald, M. E. 1985; 79 (1): 95-123
  • The homotopy theory of immersions Cohen, R. L. 1985: 627-640
  • SECONDARY COHOMOLOGY OPERATIONS THAT DETECT HOMOTOPY CLASSES TOPOLOGY Cohen, R. L., Goerss, P. 1984; 23 (2): 177-194
  • BUNDLES OVER CONFIGURATION-SPACES PACIFIC JOURNAL OF MATHEMATICS Cohen, F. R., Cohen, R. L., Kuhn, N. J., NEISENDORFER, J. L. 1983; 104 (1): 47-54
  • IMMERSIONS OF MANIFOLDS (NORMAL BUNDLE CLASSIFYING SPACE THOM SPACE) PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES Cohen, R. L. 1982; 79 (10): 3390-3392

    Abstract

    This paper outlines a proof of the conjecture that every compact, differentiable, n-dimensional manifold immerses in Euclidean space of dimension 2n - alpha(n), where alpha(n) is the number of ones in the dyadic expansion of n.

    View details for Web of Science ID A1982NQ31000007

    View details for PubMedID 16593194

  • ODD PRIMARY INFINITE FAMILIES IN STABLE-HOMOTOPY THEORY MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY Cohen, R. L. 1981; 30 (242): 1-92
  • Representations of Brown - Gitler spectra Proceedings of Topology Symposium Cohen, R. L. 1980; 788: 399 - 417
  • STABLE PROOFS OF STABLE SPLITTINGS MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY Cohen, R. L. 1980; 88 (JUL): 149-151
  • The Geometry of Ω2S3 and braid orientations Inventionnes Mathematicae Cohen, R. L. 1979; 54: 53 - 67