Academic Appointments

  • Emeritus Faculty, Acad Council, 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)

Contact

  • Academic
    rlc@stanford.edu
    University - Emeritus faculty Department: Mathematics Position: Emeritus Faculty, Acad Council
    • BLDG. 380, 383X
    • Stanford,  California  94305-2125 
    (650) 725-4066 (fax)

Additional Info

  • Mail Code: 2070

Links

2021-22 Courses

All Publications

  • MORSE FIELD THEORY ASIAN JOURNAL OF MATHEMATICS Cohen, R., Norbury, P. 2012; 16 (4): 661-711

    View details for Web of Science ID 000313045700005

  • 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

    View details for Web of Science ID 000272871800006

  • 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

    View details for DOI 10.2140/gt.2010.14.1165

    View details for Web of Science ID 000297043500001

  • 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

    View details for DOI 10.1016/j.aim.2009.02.009

    View details for Web of Science ID 000265943400007

  • Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners 4th Abel Symposium Cohen, R. L. SPRINGER. 2009: 39–59

    View details for DOI 10.1007/978-3-642-01200-6_3

    View details for Web of Science ID 000276297500003

  • UMKEHR MAPS HOMOLOGY HOMOTOPY AND APPLICATIONS Cohen, R. L., Klein, J. R. 2009; 11 (1): 17-33

    View details for Web of Science ID 000265224300002

  • A Morse Theoretic Description of String Topology Conference on New Perspectives and Challenges in Symplectic Field Theory held in honor of Yasha Eliashberg Cohen, R. L., Schwarz, M. AMER MATHEMATICAL SOC. 2009: 147–172

    View details for Web of Science ID 000271851500005

  • Surfaces in a background space and the homology of mapping class groups AMS Summer Research Institute on Algebraic Geometry Cohen, R. L., Madsen, I. AMER MATHEMATICAL SOC. 2009: 43–76

    View details for Web of Science ID 000265595600003

  • Open-closed field theories, string topology, and Hochschild homology 3rd Arolla Conference on Algebraic Topology Blumberg, A. J., Cohen, R. L., Teleman, C. AMER MATHEMATICAL SOC. 2009: 53–76

    View details for Web of Science ID 000275899200003

  • 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

    View details for DOI 10.1112/jtopol/jtn001

    View details for Web of Science ID 000270240800007

  • String topology of Poincar´e duality groups Geometry and Topology Monographs Cohen, R. L., Abbaspour, H., Gruher, K. 2007; 13: 1 - 10
  • The topology of the category of open and closed strings Conference on Homotopy Theory to Celebrate Sam Gitler 70th Birthday Baas, N. A., Cohen, R. L., Ramirez, A. AMER MATHEMATICAL SOC. 2006: 11–26

    View details for Web of Science ID 000239628300002

  • 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
  • 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
  • Morse theory, graphs, and string topology Conference of the NATO-Advanced-Study-Institute on Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology Cohen, R. L. SPRINGER. 2006: 149–184

    View details for Web of Science ID 000236350600004

  • 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 International Conference in Algebraic Topology Cohen, R. L., Jones, J. D., Yan, J. BIRKHAUSER VERLAG AG. 2004: 77–92

    View details for Web of Science ID 000189399700005

  • A homotopy theoretic realization of string topology MATHEMATISCHE ANNALEN Cohen, R. L., Jones, J. A. 2002; 324 (4): 773-798

    View details for DOI 10.1007/s00208-002-0362-0

    View details for Web of Science ID 000179972200006

  • Holomorphic K-theory, algebraic co-cycles, and loop groups K-THEORY Cohen, R. L., Lima, P. 2001; 23 (4): 345-376

    View details for Web of Science ID 000171147500003

  • 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

    View details for Web of Science ID A1996VH24600001

  • 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
  • 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
  • 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
  • MONOPOLES, BRAID-GROUPS, AND THE DIRAC OPERATOR COMMUNICATIONS IN MATHEMATICAL PHYSICS Cohen, R. L., Jones, J. D. 1993; 158 (2): 241-266

    View details for Web of Science ID A1993ML82200002

  • 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

    View details for Web of Science ID A1993LD30100004

  • 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

    View details for Web of Science ID A1991FL90100001

  • 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

    View details for Web of Science ID A1990DU71500002

  • 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

    View details for Web of Science ID A1989AM36700004

  • 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

    View details for Web of Science ID A1988P741300002

  • A MODEL FOR THE FREE LOOP SPACE OF A SUSPENSION LECTURE NOTES IN MATHEMATICS Cohen, R. L. 1987; 1286: 193-207

    View details for Web of Science ID A1987L547700006

  • 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
  • THE ADAMS SPECTRAL SEQUENCE OF OMEGA-2S3 AND BROWN GITLET SPECTRA ANNALS OF MATHEMATICS STUDIES Brown, E. H., Cohen, R. L. 1987: 101-125

    View details for Web of Science ID A1987K911600004

  • The free loop space and the cyclic groups Commentari Math. Helvetici. Cohen, R. L., Carlsson, G. 1987; 62: 423 - 449
  • A DECOMPOSITION OF THE SPACE OF GENERALIZED MORSE FUNCTIONS ANNALS OF MATHEMATICS STUDIES Cohen, R. L. 1987: 365-391

    View details for Web of Science ID A1987K911600015

  • REALIZING TRANSFER MAPS FOR RAMIFIED COVERINGS PACIFIC JOURNAL OF MATHEMATICS Cohen, R. L. 1986; 122 (2): 347-356

    View details for Web of Science ID A1986A637200007

  • THE IMMERSION CONJECTURE FOR DIFFERENTIABLE MANIFOLDS ANNALS OF MATHEMATICS Cohen, R. L. 1985; 122 (2): 237-328

    View details for Web of Science ID A1985ASW5500002

  • THE KERVAIRE INVARIANT OF IMMERSIONS INVENTIONES MATHEMATICAE Cohen, R. L., Jones, J. D., Mahowald, M. E. 1985; 79 (1): 95-123

    View details for Web of Science ID A1985AJK3200006

  • The homotopy theory of immersions Cohen, R. L. 1985: 627–40
  • SECONDARY COHOMOLOGY OPERATIONS THAT DETECT HOMOTOPY CLASSES TOPOLOGY Cohen, R. L., Goerss, P. 1984; 23 (2): 177-194

    View details for Web of Science ID A1984SW58900006

  • 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

    View details for Web of Science ID A1983PZ82200005

  • 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

    View details for PubMedCentralID PMC346422

  • ODD PRIMARY INFINITE FAMILIES IN STABLE-HOMOTOPY THEORY MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY Cohen, R. L. 1981; 30 (242): 1-92

    View details for Web of Science ID A1981LG41100001

  • 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

    View details for Web of Science ID A1980KC52900013

  • The Geometry of Ω2S3 and braid orientations Inventionnes Mathematicae Cohen, R. L. 1979; 54: 53 - 67