Prepared, March 2018

Academic honors / Recognition:

1974                 U.S.-France Exchange of Scientists Fellowship
1974                 National Research Council Award to attend I.C.M.
1977-78          Senior Visiting Fellowship, Science Research Council of Great Britain
1985                Invited Address, American Mathematical Society Regional Meeting
1986               Surrogate speaker for Andrei Suslin, plenary lecture of the International Congress of Mathematicians
1992                 Zabrodsky Memorial Lecturer, Jerusalem
1996–98          Humboldt Senior Scientist Research Prize

1998                 Invited Speaker, International Congress of Mathematicians
1999–2008     Henry S. Noyes Professor of Mathematics

2001                 Plenary Address, A.M.S. – Mexican Math Society Meeting
2001                 Humboldt research grant (continuation), Heidelberg
2003                Plenary speaker, International A.M.S.-Spain Congress
2005                Spenser lecturer, Kansas State
2005                Fellow, American Academy of Arts and Sciences
2008 – –           Dean’s Professor of Mathematics
2010                 Richard Block lecturer, UC Riverside
2011-12            President of the American Mathematical Society
2012                 Fellow of the American Mathematical Society
2014                 R. L. Moore Colloquium Speaker, Texas-Austin
2015                 Chair of Math Section, AAAS
2016                 Emil Artin Vorlesung Lecturer, Heidelberg
2016 – –            Chair of US National Committee / Math
2018                 Kan Lecturer, Utrecht

 

Education/Employment:

1965 Swarthmore College, B.A.
1970 Massachusetts Institute of Technology, Ph.D
1970-71 Instructor, Princeton University
1971-72 Lecturer, Princeton University
1972-75 Assistant Professor, Princeton University
1975-80 Associate Professor, Northwestern University
1980-08 Professor, Northwestern University
1987-90 Chair, Mathematics Department, Northwestern University
1995-98 Academic Associate Dean, College of Arts and Sciences, Northwestern University
1999-08 Henry S. Noyes Professor of Mathematics, Northwestern University
1999-03 Chair, Mathematics Department, Northwestern University
2008 – – Dean’s Professor, University of Southern California
2014 – – Chair, Mathematics Department, University of Southern California

 

Visiting Positions:

1974,82-3,85,87                Visiting Member, I.H.E.S., France
1977                                       Research Fellow, Trinity College, Cambridge, England
1978                                      Research Fellow, New College, Oxford, England
1981,85-6,99,04,05          Institute for Advanced Study
1982-83                               Professor Associe, Paris
1983                                     Visiting Fellow, M.P.I., Germany
1984,86,88,91                   Visiting Fellow, E.T.H.-Zurich, Switzerland
1986,95,08                        Visiting Member, M.S.R.I.
1988, 89,90, 90-91,93     Visiting Member, I.H.E.S., France
1992                                    Visiting Professor, Hebrew University
1994                                    Visiting Distinguished Professor, Brown Univ.
1996-98,01                        Visiting Professor, Heidelberg, Germany
1998-9,02,04,05, 06       Visiting Member, I.H.E.S., France
1999                                    Research Professor, M.S.R.I.
2000,03-04                       Visiting Fellow, E.T.H.-Zurich, Switzerland
2004                                   Visiting Fellow, Institut Henri Poincar´e
2007-08                             Visiting Professor, University of Southern California

 

Professional Activities:

My service to the mathematical community includes: refereeing papers/grant proposals and editing journals; serving on various national committess; and organizing mathematical confer- ences.

TPSE-Math

Current member of leadership team whose aim is to “transform” post-secondary mathematics education.

American Association for the Advancement of Science

Past-Chair of the Mathematics Section

US National Committee

Current Chair of the Mathematics Section.

Editorial Boards

Co-Managing Editor, Journal of Pure and Applied Algebra Editorial board, Annals of K-theory

Editorial board, American Journal

Editorial board, Algebra and Applications, Springer-Verlag

Past editorial boards include Bulletin of the A.M.S., Proceedings of the A.M.S., AMS University Lecture Series (Chair), K-theory, Oxford Mathematical Monographs, Central European Journal of Mathematics.

American Mathematical Society

Board of Trustees of the A.M.S., 2000 – (Chair 2003,08) Committee on Committees, 2005 – 2007 (Chair 2006) Selection Committee, Cole Prize, 2005

Nominating Committee, 1995-98 (Chair 1997)

Committee on Summer Institutes and Special Symposia, 1985-87 Committee on the Publication Program, 1989-92
Committee on Science Policy, 1991-93, 2000-05, 2012 – (Chair)
Committee on Publications, 2005 – 2008 Committee on the Profession, 2009 – 2010 Committee on Education, 2012 – President-elect, 2010
President, 2011 – 2013
Immediate Past President, 2013-14.

Extra-mural committees

Scientific Advisory Committee, Fields Institute, 2005 –2009
National Science Foundation Postdoctoral Fellowship Committee, 2007 – External Reviewer, Loyola of Chicago Mathematics Department, 2005 Algebra Panel, International Mathematical Union, 2000-01
National Science Board N.S.F. Graduate Fellowship Committee, 1993
National Research Council Committee on U.S. Math Science Institutes,1998-99 External Reviewer, Emory University Mathematics Department, 2010
External Reviewer, University of Oregon Mathematics Department, 2012

 

 

 

Conference Organization:

1977 Northwestern Algebraic Topology Conference
1978 Oberwolfach: Connections between Algebraic Geometry and Algebraic Topology
1980 Northwestern Algebraic K-theory Conference
1981 Princeton Algebraic K-theory Seminar
1983 A.M.S. Algebraic K-theory Conference
1983 U.S.– France Algebraic K-theory Conference
1985 Northwestern Cohomology of Groups Conference
1990-1 I.H.E.S. Working Seminar on Chow Varieties
1991 A.M.S. Algebraic Groups Conference
1992 Northwestern Conference on Topology
1994 Great Lakes K-theory Conference, Evanston
1996 A.M.S. Motives Special Session, Antwerp
1997 A.M.S. K-theory Special Session, Pretoria
1997 Great Lakes K-theory Conference, Evanston
1998 MSRI Workshop, Berkeley
1999 A.M.S. Representation theory Special Session, Melbourne
1999 A.M.S. Diverse legacy of Jean Leray, Austin
2001 Great Lakes K-theory, Evanston
2002 Northwestern Topology Conference, Evanston
2003 A.M.S. Algebraic Topology Special Session, Seville
2003 A.M.S. Cycles, K-theory, & Motives Special Session, Bangalore
2004 A.M.S. Special Session on Motives, Evanston
2005 A.M.S. – D.M.V Session on Motivic Cohomology, Mainz
2005 Great Lakes K-theory, Chicago
2007 Homotopy theory of schemes, Fields Institute
2007 School on algebraic K-theory, ICTP (Trieste)
2007 Abel symposium, Oslo
2009 Motivic Homotopy Theory, Muenster
2010 A.M.S. Representation Theory Special Session, San Francisco
2011 K-theory and Motivic Cohomology, UCLA
2013 Homotopy Methods in Algebraic Geometry, USC
2014 A.M.S. Special Session on Representation Theory, San Francisco
2015 Conference in honor of Charles Weibel, Rutgers
2017 Semester Program at Mittag-Leffler Institute, Stockholm
2017 MCA Special Session, Montreal

 

Recent Invited Lectures:

seminars/colloquia at international universities

ETH-Zurich: Algebra Seminar, 2001 Goettingen: Colloquium, 2001

Heidelberg: Oberseminar (5 lectures), 2001 Nantes: Cohomology of functors (5 lectures), 2001 Orsay: Number Theory Seminar, 2002

ETH-Zurich, Zurich: Colloquium, 2003

ETH-Zurich: Nach-Diplom lectures (12 lectures), 2003 Strasbourg: Topology Seminar, 2004

ETH-Zurich: Topology Seminar, 2004

Institut Henri Poincar´e: K-theory (7 lectures), 2004 Orsay: Algebraic Geometry Seminar, 2004

University of Paris 13: Topology Seminar, 2004 Cambridge University: Algebra Seminar, 2004 London: algebra colloquium, 2004

Edinburgh: Colloquium, 2004

Bonn: Colloquium, 2004

Oxford: Colloquium, 2006

Tokyo University: Algebraic geometry, 2008 East China Normal University, Shanghai, 2008 Hongzhou University, 2008

Nottingham University: Number theory, 2009 Sheffield University: Topology colloquium, 2009 Barcelona: Algebraic Geometry, 2009

Stetlov Institute, St. Petersburg, 2010

University of New South Walkes, Public Lecture, 2012 University of Melbourne, Public Lecture, 2012 University of Canberra, Algebra lecture, 2012 Heidelberg University, Dold Memorial, 2013 University of Bonn, Algebraic Geometry, 2013 University of Paris 13, Geometry, 2014

Heidelberg University, Emil Artin Vorlesung, 2016

conference lectures

T.I.F.R. (Bombay): Colloquium on Algebra, Arithmetic, and Geometry, 2000 Toulouse: K-theory and the Homotopy Theory of Schemes, 2000

Morelia: Plenary talk at A.M.S.–Mexico joint meeting, 2001

Stony Brook: Geometry Conference in honor of Blaine Lawson, 2002 Urbana: Great Lakes K-theory, 2002

Mount Holyoke: A. M.S. Summer Conference, 2002 I.C.T.P.: K-theory Conference, 2002

Madison: A.M.S. Special Session on cohomolgy of groups, 2002 Seville: Plenary address, A.M.S.–Spain joint meeting, 2003 Paris: K-theory & Motivic cohomology conference, 2004

Paris: Group theory conference, 2004 Snowbird: A.M.S. Summer Conference, 2004 Bonn: Arbeitstagung, 2005

Cracow: CAT05 (algebraic topology) 2005

Lincoln: A.M.S. Special session on motivic cohomology, 2005 Providence: Lichtenbaum conference, 2005

Oberwolfach: K-theory conference, 2005

Leeds: Conference on Triangulated Categories, 2006 Kyoto: Number Theory, 2006

Bielefeld: Representation Theory, 2007 Trieste: K-theory (6 lectures), 2007

Los Angeles: Southern California Algebra Conference, 2007 Columbus: Conference on Algebraic Cycles, 2008

Berkeley (MSRI): Homological Methods in Representation Theory, 2008 Vancouver: ABC algebra workshop, 2008

Tokyo University: Conference on Motives, 2008

Koeln University: Representation Theory and Cohomology (3 lectures), 2009 Cambridge (Newton Institute): Representation Theory, 2009

Banff: Linear Algebraic Groups, 2009 Western Lie Theory, 2010 Oberwolfach, 2010

Salt Lake City: AMS special session on noncommutative geometry, 2011 M.I.T.: Quillen Memorial Conference, 2012

Stony Brook: Geometry in honor of H. Blaine Lawson, 2012 Riverside: AMS Special session on representation theory, 2015 Oberwolfach, Representation theory, 2015

Edinburgh: Representation theory, 2016

University of Virginia: Representation theory, 2016 USC: Representation theory, 2016

PIMS (Vancouver): Representation theory (3 lectures), 2016 University of Lille, Representation Theory, 2017

seminars/colloquia at north American universities

Boston Area Colloquium, 2000 University of Nebraska: colloquium, 2000

University of Wisconsin: colloquium, 2000 University of Indiana: colloquium, 2000 University of Utah: colloquium, 2001

University of Chicago: Algebraic Geometry Seminar, 2001 University of California at Los Angeles: colloquium, 2001 University of Southern California: colloquium, 2001 University of Nebraska: colloquium, 2002

Duke University: colloquium, 2002 University of Oregon: colloquium, 2003 University of Oregon: algebra seminar, 2003 University of Georgia: colloquium, 2004 University of Georgia: algebra seminar, 2004 Princeton University: algebra seminar, 2005

University of Pennsylvania: algebra seminar, 2005 Kansas State: “Spenser Lecture”, 2005

Kansas State: algebra seminar, 2005

University of Illinois, Chicago: colloquium, 2005 University of Washington: colloquium, 2006 University of Washington, topology seminar, 2006 University of Southern California: colloquium, 2006 University of Washington: algebra seminar, 2007 University of California Los Angeles: colloquium, 2008 University of British Columbia: colloquium, 2008 University of Washington, algebra seminar, 2009 Claremont Colleges, colloquium, 2010

Northwestern University: colloquium, 2010 Ohio State: colloquium, 2011

University of California – San Diego: colloquium, 2011 University of Oregon: colloquium, 2013

University of Washington lectures, 2014 University of Texas-Austin, colloquium, 2014 Northeastern University: colloquium, 2014 Pomona College, algebra seminar, 2015

University of California – Santa Barbara; colloquium, 2017

 

University of Southern California service

UCAPT Science and Engineering Panel, 2010 – 17 (Chair, 2016 – 17) Search Committee for Dean of Dornsife College, 2011 – 12

Chair, Mathematics Department, 2014 – –

 

Northwestern University service

Math Dept Chair, 1987-90, 1999-03.

Academic Associate Dean, Northwestern, 1995-98. Numerous Faculty Committees

 

Ph.D Students:

  • David Cox, Princeton Ph.D, 1974
  • Roy Joshua, Northwestern D, 1983
  • Paul Kunkel, Northwestern D, 1984
  • Henry Cejtin, D. Northwestern Ph.D, 1985
  • Steve Schlicker, Northwestern Ph.D, 1987
  • Mark Muzere, Northwestern D, 1987
  • Joseph Gottman, Northwestern D, 1993
  • Christopher Flannery, Northwestern D, 1994
  • Christopher Bendel, Northwestern D, 1996
  • Julia Pevtsova, Northwestern D, 2002
  • Christian Haesemeyer, Northwestern D, 2003
  • Jeremiah Heller, Northwestern D, 2006
  • Mircea Voineaugu, Northwestern D, 2007
  • Chenghao Chu, Northwestern D, 2008
  • Paul Sobaje, USC D, 2011
  • Taylan Bilal, USC, D, 2013
  • Jared Warner, USC PhD, 2015
  • Ozlem Ejder, USC PhD, 2017

 

Grant Support:

 

2017-                          Simons Foundation Collaboration Grant 1970– 2015               N.S.F. Principal Investigator grant

2010 –2014                N.S.F. Focused Research Award

2003–                        N.S.F. grant to support Great Lakes K-theory 1990–2004, 2015     N.S.A. grant

1976, etc                    N.S.F. support for Emphasis Years in Algebra and Topolgy

1976-7, 1979-80, 1981-2, 1984-5, 1987-8,1991-2, 1996-7,2001-02

1974                            C.N.R.S. (U.S.– France Exchange of Scientists Fellowship)

1977–78                     S.R.C. (Visiting Senior Lectureship)

1978,82-3                    N.S.F. Sabbatical Support

1980                           N.S.F. Support for Algebraic K-theory Conference

1981,85-6                    Institute for Advanced Study

1982–83                    N.S.F. Sabbatical Support

1983                           N.S.F. Support for U.S.– France Algebraic K-theory Conference
1984–85                    N.S.F. Support for Cohomology of Groups Emphasis Year
1986                           Institute for Advanced Study
1991–92                     N.S.F. support for Algebra & Topology Emphasis Year
1991–92                     N.S.F. support for Algebra & Topology Emphasis Year
1996–97                     N.S.F. support for Algebra & Topology Emphasis Year
1998                           M.S.R.I. support for “hot topics” workshop

 

Partial support from Institute for Advanced Study, University of Paris VII, I.H.E.S., Max- Planck Institut, E.T.H. (Zurich), and M.S.R.I. as visitor (cf. Visiting Positions).

 

Publications

My research interests include algebraic geometry (both classical and abstract), algebraic K-theory, algebraic topology, and representation theory.

 

Research articles

  1. Fibrations in etale homotopy theory, Math. I.H.E.S. 42 (1972), 281–322.
  2. (with P. Griffiths and J. Morgan) Homotopy theory and differential forms, M.I.T. notes (1972).
  3. K(π, 1)’s in characteristic p > 0, Topology 12 (1973), 9–18.
  4. The etale homotopy theory of a geometric fibration, Manuscripta Mathematica 10 (1973), 209–244.
  5. Unstable K-theories of the algebraic closure of a finite field, Math. Helvetici 50 (1975), 145–154.
  6. Exceptional isogenies and the classifying spaces of simple Lie groups, Annals of 101 (1975), 510–520.
  7. Extension functions for rank two torsion free abelian groups, Pacific Math. 58 (1975), 371–380.
  8. Computations of K-theories of finite fields, Topology 15 (1976), 87–109.
  9. Homological stability for classical groups over finite fields, in Algebraic K-theory, Lecture Notes in 551, Springer (1976), 290–303.
  10. Maps between localized homogeneous spaces, Topology 16 (1977), 205–216.
  11. (with M. Seymour) Two proofs of the stable Adams conjecture, Bull. A.M.S. 83, No. 6 (1977), 1300–1302.
  12. (with S. Priddy) Karoubi’s conjecture for finite fields, J. Pure & Applied Algebra 10 (1977), 233–238.
  13. (with A.K. Bousfield) Homotopy theory of Γ-spaces, spectra, and bisimplicial sets, in Geometric Applications of Homotopy Theory II, Lecture Notes in 658, Springer (1978), 80–130.
  14. The infinite loop Adams conjecture via classification theorems for F -spaces, Proc. Camb. Phil. Soc. (1980), 109–150.
  15. Etale K-theory I: Connections with etale cohomology and algebraic vector bundles, In- ventiones 60 (1980), 105–134.
  16. (with L. Evens) Kr(Z/p2Z) and Kr(Z/pZ[ε]) for p ≥ 5 and r ≤ 4, Bull. M.S. 3, no. 2 (1980), 440–443.
  17. (with Parshall) Etale cohomology of reductive groups, in Algebraic K-theory (Evanston 1980), Lecture Notes in Math. 854, Springer (1981), 127–140.
  18. (with L. Evens) On K∗(Z/p2Z) and related homology groups, Trans. A.M.S. 270, no. 1 (1982), 1–46.
  19. Etale K-theory II: Connections with algebraic K-theory, Scient. Ecole Norm. Sup.,t.15 (1982), 231–256.
  20. (with W. Dwyer, V. Snaith and R. Thomason) Algebraic K-theory eventually surjects onto algebraic K-theory, Inventiones Math. 66(3) (1982), 481–497.
  21. (with Dwyer) Etale K-theory and arithmetic, Bull. AMS 6(3) (1982), 453–455.
  22. (with Parshall) On the cohomology of Chevalley groups, Bull. A.M.S. 7, no. 1 (1982), 247–250.
  23. (with Parshall) On the cohomology of algebraic and related finite groups, Inventiones Math. 74 (1983), 85–117.
  24. (with G. Mislin) Cohomology of classifying spaces of complex Lie groups and related finite groups, Math. Helvetici 59 (1984), 347–361.
  25. (with W. Dwyer) Etale K-theory of Azumaya algebras, J. Pure and Applied Algebra 34 (1984), 179–191.
  26. A canonical filtration for certain rational modules, Z. 188 (1985), 433–438.
  27. (with Dwyer) Algebraic and etale K-theory, Trans. A.M.S. 292 (1985), 247–280.
  28. (with Parshall) Cohomology of Lie algebras and algebraic groups, American Journal 108 (1986), 235–253.
  29. (with Dwyer) Conjectural calculations of general linear group homology, Contempo- rary Math. 55, Part 1 (1986), 135–147.
  30. (with Dwyer) Some remarks on the K-theory of fields, Contemporary Math. 55, Part 1 (1986), 149–158.
  31. (with Parshall) Cohomology of infinitesimal and discrete groups, Math. Annalen 273 (1986), 353–374.
  32. (with Mislin) Locally finite approximations of Lie groups I, Inventiones Math. 83 (1986), 425–436.
  33. (with Mislin) Locally finite approximations of Lie groups II, Math. Proc. Camb. Phil. Soc. 100 (1986), 505–517.
  34. (with Parshall) Support varieties for restricted Lie algebras, Inventiones Math. 86 (1986), 553–562.
  35. (with Parshall) Limits of infinitesimal group cohomology, Annals of Math. Studies no. 113 (1987), 523–538.
  36. (with B. Parshall) Geometry of p-unipotent Lie algebras, Algebra 109, no. 1 (1987), 25–45.
  37. (with Parshall) Rational actions associated to the adjoint representation, Ann. Scient. Ec. Norm. Sup. 4e Serie, t. 20 (1987), 215–226.
  38. (with Parshall) Representations of mod-p Lie algebras, Bull. A.M.S. 17, no.1 (1987), 129–132.
  39. Cohomology of irreducible modules with large weights, Proceedings of Symposia in Pure Mathematics 47, vol. 2 (1987), 187–193.
  40. Multiplicative stability for the cohomology of finite Chevelley groups, Comment Helvetici 63 (1988), 108–113.
  41. (with Mislin) Conjugacy classes of finite solvable subgroups in Lie groups, Ann. Scient. Ecole Norm. Sup. 4e Serie, t. 21 (1988), 179–191.
  42. (with Parshall) Modular representation theory of restricted Lie algebras, Amer. J. Math. 110 (1988), 1055–1094.
  43. Homology using Chow varieties, A.M.S. 20, no. 1 (1989), 49–53.
  44. (with Parshall) Deformations of Lie algebra representations, Amer. J. Math. 112 (1990), 375–390.
  45. (with Mislin) Galois descent and cohomology for algebraic groups, Math. Zeit. 205 (1990), 177–190.
  46. Algebraic cycles, Chow varieties, and Lawson homology, Compositio 77 (1991), 55-93.
  47. (with Parshall) Induction, deformation and specialization of Lie algebra representa- tions, Math. Annalen. 290 (1991), 473–489.
  48. (with B. Lawson) Algebraic cocycles and the cohomology of algebraic varieties, Bull.A.M.S. 26, no. 2, (1992), 264–268.
  49. (with B. Lawson) A theory of algebraic cocycles, Annals of Math. 136 (1992), 361–428.
  50. (with W. Dwyer and S. Mitchell) The generalized Burnside ring and the K-theory of a ring with roots of unity, K-theory 6 (1992), 285-300.
  51. (with Gabber) Cycle spaces and intersection theory, in Topological Methods in Modern Mathematics (1993), 325-370.
  52. (with Dwyer) Topological models for arithmetic, Topology 33 (1994), 1–24.
  53. Some computations of algebraic cycle homology, K-theory 8 (1994), 271–285.
  54. (with Mazur) Correspondence homomorphism for singular varieties, Annales de l’Institut Fourier 44, 3 (1994), 703-727.
  55. Filtrations on algebraic cycles and homology, Annales Norm. Sup., 4e serie, t. 28 (1995), 317-343.
  56. (with Suslin), Cohomology of finite group schemes over a field, Inventiones Math. 127(1997), 209-270.
  57. (with B. Lawson) Duality relating spaces of algebraic cocycles and cycles, Topology 36 (1997), 533-565.
  58. (with Suslin and C. Bendel) Infinitesimal 1-parameter subgroups and cohomology, Journal of the American Mathematical Society, 10 (1997), 693-728.
  59. (with Suslin and C. Bendel) Support varieties for infinitesimal group schemes, Journal of the American Mathematical Society, 10 (1997), 729-759.
  60. Motivic complexes of Suslin and S´eminaire Bourbaki. vo. 1996/97. Aster- isque 245 (1997), 355-378.
  61. Algebraic cocycles on quasi-projective varieties, Compositio 110 (1998), 127-162.
  62. (with B. Lawson) Moving algebraic cycles of bounded degree. Inventiones Math. 132(1998), 91-119.
  63. Geometry of infinitesimal group Documenta Mathematica 1998, Extra Vol. II, 55-65.
  64. (with Weibel) An overview of algebraic K-theory, 1997 Trieste lecture notes; in Alge- braic K-theory and its Applications. World Scientific Publishing (1999), 1 – 119.
  65. (with Franjou, A. Scorichenko, and A. Suslin) General linear and functor cohomology over finite fields, Annals of Math 150 (1999), 663-728.
  66. (with V. Voevodsky) Bivariant cycle cohomology. In Cycles, Transfers, and Motivic Homology Theories. Annals of Math Studies, Princeton University Press 2000, 138-187.
  67. Bloch-Ogus properties for topological cycle theory, Annales Norm Sup. 33 (2000), 57-65.
  68. Intersection products for spaces of algebraic cycles, Recent progress in intersection theory (Bologna, 1997), 217–237, Trends Math., Birkhauser 2000.
  69. Relative Chow correspondences and the Griffiths Annales de l’Institut Fourier, Grenoble 50 (2000), 1073-1098.
  70. (with Walker) Function spaces and continuous algebraic pairings for varieties, Com- positio Math. 125 (2001), 69–110.
  71. (with Walker) Comparing K theories for complex varieties, American J. of Math 123(2001), 779–810.
  72. (with Walker) Some remarks concerning mod-n K-theory. Invent. math 145 (2001), 545–555.
  73. (with Walker) Semi-topological K-theory using function complexes. Topology 41 (2002), 591–644.
  74. (with Walker) Semi-topological K-theory of real varieties. Proceedings of the Interna- tional Colloquium on Algebra, Arithmetic and Geometry, Tata Institute of Fundamental, Research, Mumbai 2000, Ed. R. Parimala, (2001), 219–326.
  75. (with Suslin) The spectral sequence relating algebraic K-theory to motivic cohomology, Ann. Sci. Ec Norm. Sup. 35 (2002), 773–875.
  76. (with Rapoport and A. Suslin) The mathematical work of the 2002 Fields medalists, Notices of the A.M.S. 50 (2003), 212–217.
  77. (with Walker) Rational isomorphisms between K-theories and cohomology theories, Inventiones Math. 154 (2003), 1–61.
  78. Lectures on the cohomology of finite group In Rational Representations, The Steenrod Algebra, and Functor Homology, S.M.F. 16 (2003) 27-53
  79. (with C. Haesemeyer and M. Walker), Techniques, computations and conjecture for semi- topological K-theory, Math Annalen 330 (2004), 759-807.
  80. (with Pevtsova) Representation-theoretic support spaces for finite group schemes, American Journal of Math 127 (2005), 379-420.
  81. (with Walker) Semi-topological K-theory, in Handbook of K-theory, vol I (2005).
  82. (with J. Pevtsova and A. Suslin), Generic and maximal Jordan types, Inventiones Math168 (2007), 485-522.
  83. (with Pevtsova) Π-supports for modules for finite group schemes over a field, Duke Math. J. 139 (2007), 317-368.
  84. (with J. Carlson and J. Pevtsova), Modules of constant Jordan type, Journal fu´r die reine und angewandte Mathematik 614 (2008), 191-234.
  85. (with Franjou) Cohomology of Bifunctors, Proceedings of the London Mathematical Society 97 (2008), 514-544.
  86. The Friedlander-Milnor Conecture, L’Enseignement Math´ematique 54 (2008), 90-
  87. Lectures in K-Theory. Proceedings of the K-Theory summer school, 2007, Published by ICTP Press, 2008.
  88. (with B. Lawson) Graph mappings and Poincare duality, Math Annalen, 343 (2009), 431- 461.
  89. (with Carlson), Exact category of modules of constant Jordan type. Exact category of modules of constant Jordan type. Manin Festschift, Progress in Mathematics, vol. 269, Birkha¨user-Boston (2009), 267-290.
  90. Weil restriction and support varieties, Journal fu¨r die reine und angewandte Mathematik,648 (2010), 183-200.
  91. (with C. Haesemeyer), Lipschitz coycles and Poincar´e duality, in The Geometry of Alge- braic Cycles, Clay Mathematics Proceedings, vol 9, Math. Soc, Providence, RI, 2010, pp. 33-51.
  92. (with J. Pevtsova) Generalized support varieties for finite group schemes, Documenta Mathematica – Extra volume Suslin (2010), 197-222.
  93. (with J. Carlson and A. Suslin), Modules for Z/p × Z/p, Commentarrii Mathematici Helvetici 86 (2011), 609-657.
  94. Restrictions to G(Fp) and G(r) of rational G-modules, Compositio Mathematica 147 (2011), 1955-1978.
  95. (with J. Pevtsova), Constructions for infinitesimal group schemes, Amer. Math. Soc. 363 (2011), 6007-60761.
  96. (with Carlson and J. Pevtsova), Representations of elementary abelian p-groups and bundles on Grassmanians, Advances in Math.229 (2012), 2985-3051.
  97. Spectrum of group cohomlogy and support varieties, Journal of K-Theory 11 (2013), 507-516.
  98. (with Carlson and J. Pevtsova), Elementary subalgebras of Lie algebras, J. Algebra 442 (2015), 155-189.
  99. Support varieties for rational G-modules, Compositio 151 (2015), 765-792.
  100. (with J. Carlson and J. Pevtsova), Vector bundles associated to Lie algebras, fur die Reine und Ang. Math. (Crelle) 716 (2016), 147-178.
  101. (with Ross), An approach to intersection theory on singular varieties using motivic complexes, Compositio Math. 152 (2016). 2371-2404.
  102. Filtrations, 1-parameter subgroups, and rational injectivity, Advances in 323 (2018), 84 – 113.
  103. Rational cohomology and supports for linear algebraic To appear in “Geometric and Topoogical Aspects of Representation Theory of Finite groups, Springer-Verlag.
  104. (with Negron), Cohomology for Drinfeld doubles of some infinitesimal group schemes. To appear in Algebra and Number Theory. arxiv:1709.09217
  105. Rational cohomology of unipotent group arXiv:1702.09914.

 

Research monographs

  1. Etale Homotopy of Simplicial Schemes, Annals of Mathematics Studies #104, Princeton University Press, 1982.
  2. (with B. Mazur) Filtrations on the homology of algebraic varieties, Memoir of the A.M.S., 529, 1994.
  3. (with Suslin and V. Voevodsky) Cycles, Transfers, and Motivic Homology Theories. Annals of Math Studies, Princeton University Press, 2000.

Edited volumes

  1. (with Stein), Algebraic K-theory, Evanston 1980, Springer Lecture Notes 854.
  2. Special volume of Journal of Pure and Applied Algebra,
  3. (with Bloch, R.K. Dennis and M. Stein), Applications of Algebraic K-theory to Alge- braic Geometry and Number Theory, Contemporary Math. 55.
  4. (with Mahowald), Topology and Representation Theory, Contemporary Math. 158.
  5. (with de Jong, L. Small, J. Tate, A vistoli, and J. Zhang), Special volume in honor of Michael Artin, Advances in math 198 (2005).
  6. (with Grayson), Handbook of K-theory Vol 1, Vol 2, Springer, 2005.
  7. (with A. Kuku and C. Pedrini), Some recent developments in algebraic K-theory. ICTP, 2008.
  8. (with Baas, B. Jahren, and P. Oestvaer), Proceedings of the 2007 Abel Symposium. Springer-Verlag, 2009.
  9. (with I Fesenko, Merkurjev, and U. Rehmann), Documenta Mathematica – extra volume (Suslin), 2010.
  10. (with P. Ostvaer and Quick), Special issue on motivic homotopy theory, J. of K-theory 7 (2011), no. 3, 405407
  11. (with Balmer, V. Chernousov, I. Fesenko, S. Garibaldi, U. Rehmann, Z. Reichstein), Alexander S. Merkurjev’s sixttieth birthday, special volume, Doc. Math. (2015).
  12. (with Corinas and C. Haesemeyer) Special volume of the Journal of Pure and Applied Algebra in honor of C. Weibel, 2017.