Professional Record
Claude L. Schochet
Birth: August 5, 1944
Citizen of: U.S.A.
EDUCATION:
B.A. University of Minnesota 1965 mathematics and economics
M.S. University of Chicago 1967 mathematics
Ph.D. University of Chicago 1969 mathematics
FACULTY APPOINTMENTS
Assistant Professor, Roosevelt University, 1969-70
Amenuensis, Aarhus U., Denmark, 1970-71
Post-Doctoral Fellow, Hebrew U., Jerusalem, Israel, 1971-72
Assistant Professor, Indiana U., Bloomington, 1972-76
Associate Professor, Wayne State University, 1976-81
Visiting Associate Professor, UCLA, 1979-80
Professor, Wayne State University, 1981-
Visiting Professor, SUNY at Stony Brook, 1983-84
Member, Math. Sci. Res. Inst., U. Cal. Berkeley, 1984-85
Visiting Professor, U. of Chicago, May, 1987
Visiting Scholar, U. Cal., Berkeley, February, 1988
Visiting Scholar, U. Cal., Berkeley, March, 1989
Associate Dean for Budget, Planning, and Personnel,
Wayne State University 1987-91
Visiting Professor, University of Maryland, 1991-92
PROFESSIONAL SOCIETY MEMBERSHIPS
American Mathematical Society
Mathematics Association of America
London Mathematical Society
European Mathematical Society
PROFESSIONAL SOCIETY NATIONAL COMMITTEES
American Mathematical Society:
Committee on Professional Ethics 1994-1997
(chairman 1995-1997)
Special Committee on Procedures for the Committee
on Professional Ethics 1994-5
HONORS/AWARDS
Phi Beta Kappa, University of Minnesota, 1964
WSU Board of Governors Faculty Recognition Award June, 1983
American Men/Women of Science
WSU Board of Governors Faculty Recognition Award June, 1989
Funded by the NSF 1974 - 1990.
PUBLICATIONS
Note: In accordance with custom in the field, all books and articles show co-authors
listed alphabetically.
Books and Monographs
1. C. Schochet, Cobordism from an Algebraic Point of View, Aarhus Universitet
(1971), 190 pages.
2. J. Rosenberg and C. Schochet, The Kunneth Theorem and the Universal Coefficient
Theorem for Equivariant K- and KK- Theory, Mem. Amer. Math. Soc., No. 348, 1986, 95 pages.
3. C.C. Moore and C. Schochet, Global Analysis on Foliated Spaces, Math. Sci. Res.
Inst. Publ. No. 9, New York; Springer-Verlag, 1988, 337 pages.
Editorships of Books/Proceedings
4. R.G. Douglas and C. Schochet, eds. Operator Algebras and K-theory.
Contemporary Math., Vol. 10, Amer. Math. Soc. Providence, R.I. 1982.
5. J. Kaminker, K. Millett, and C. Schochet, eds. Index Theory of Elliptic Operators,
Foliations, and Operator Algebras Contemporary Math., Vol. 70, Amer.
Math. Soc, Providence, 1988.
Refereed Articles
6. C. Schochet, A two-stage Postnikov system where E2 = E in the
Eilenberg-Moore Spectral sequence, Trans. Amer. Math. Soc. 157 (1971), 113-118.
7. J. Harper and C. Schochet, Coalgebra extensions in two-stage Postnikov
systems, Math. Scand. 29 (1971), 232-236.
8. D. Kraines and C. Schochet, Differentials in the Eilenberg-Moore spectral
sequence, J. Pure and Appl. Algebra 2 (1972), 131-148.
9. C. Schochet, On the structure of graded formal groups of finite
characteristic, Proc. Camb. Phil. Soc. 73 (1973), 215-221.
10. C. Schochet, On the bordism ring of complex projective space,
Proc. Amer. Math. Soc. 37 (1973), 267-270.
11. J. Kaminker and C. Schochet, Ext (X) from a homological point
of view, Lecture Notes in Mathematics Vol. 345 (1973), Springer-Verlag,
N.Y., 129-140.
12. J. Kaminker and C. Schochet, Steenrod homology and operator
algebras, Bull. Amer. Math. Soc. 81 (1975), 431-434.
13. L.G. Brown and C. Schochet, K1 of the compact operators is zero,
Proc. Amer. Math. Soc. 59 (1976), 119-122.
14. J. Kaminker and C. Schochet, K-theory and Steenrod homology:
Applications to the Brown-Douglas-Fillmore theory of operator algebras,
Trans. Amer. Math. Soc. 227 (1977), 63-107.
15. J. Kaminker and C. Schochet, Topological obstructions to perturbations
of pairs of operators, Lecture Notes in Math. 575 (1977), Springer-Verlag,
N.Y. 70-77.
16. D.S. Kahn, J. Kaminker, and C. Schochet, Generalized homology on compact
metric spaces, Michigan Math J. 24 (1977), 203-224.
17. R. Loebl and C. Schochet, Covariant representations on the Calkin algebra I,
Duke Math J. 45 (1978), 721-734.
18. J. Kaminker and C. Schochet, Analytic equivariant K-homology, Lecture Notes
in Math, Vol. 657, Springer-Verlag, N.Y., 292-302.
19. C. Schochet, Acyclic ideals and Koszul complexes, J. Pure Appl. Alg.
14, (1979), 311-314.
20. L.G. Brown, P. de la Harpe, and C. Schochet, Perfection du group de Fredholm,
C.R. Acad. Sc. Paris, 290 (1980), 151-154.
21. C. Schochet, Covariant representations on the Calkin algebra II, Duke Math.
J. 47 (1980), 451-460.
22. C. Schochet, Homogeneous extensions of C*-algebras and K-theory I, Bull.
Amer. Math. Soc. 3 (1980), 715-718.
23. C. Schochet, Topological methods for C*-algebras I: spectral sequences,
Pacific J. Math., 96 (1981), 193-211.
24. C. Schochet and B. Schreiber, Open centralizers and the continuity of
group representations, Proc. Amer. Math. Soc. 82 (1981), 99-104.
25. J. Rosenberg and C. Schochet, Comparing functors classifying extensions
of C*-algebras, J. Operator Theory, 5 (1981), 267-282.
26. J. Rosenberg and C. Schochet, The classification of extensions of C*-algebras.
Bull. Amer. Math. Soc. 4 (1981), 105-110.
27. C. Schochet, Topological methods for C*-algebras II: geometric resolutions
and the Kunneth formula, Pacific J. Math. 98 (1982), 443-458.
28. C. Schochet, Geometric resolutions and the Kunneth formula for C*-algebras,
in Operator Algebras and Applications, R.V. Kadison, ed., Proc. Symp. Pure
Math., Vol. 38, Part 1, Amer. Math. Soc., Providence, R.I. 1982, 77-79.
29. C. Schochet, Homogeneous extensions of C*-algebras and K-theory II.
Amer. J. Math., 105 (1983), 595-621.
30. C. Schochet, Topological methods for C*-algebras III: axiomatic
homology, Pacific J. Math. 114 (1984), 399-445.
31. C. Schochet, Topological methods for C*-algebras IV: mod p homology.
Pacific J. Math. 114 (1984), 447-468.
32. J. Rosenberg and C. Schochet, The Kunneth Theorem and the Universal
Coefficient Theorem for Kasparov's Generalized K-functor, Duke Math J.,
55 (1987), 431-474.
33. C. Schochet, The Kasparov Groups for Commutative C*-algebras and
Spanier-Whitehead Duality, Summer Res. Inst., Operator Theory/Operator
Algebras and Applications, Durham, NH, July 19, 1988, Proc. Symp.
Pure Math 51 Part II (1990), 307-321.
34. E. Park and C. Schochet, On the K-theory of quarter plane
Toeplitz algebras, International J. Math. 2 (1991), 195-204.
35. C. Schochet, Equivariant Kasparov theory for generalized
operator algebras. J. Austral. Math. Soc. (Series A) 56 (1994), 183-211.
36. C. Schochet, On equivariant Kasparov theory and Spanier - Whitehead
duality, K-Theory 6 (1992), 363-385.
37. C. Schochet, Rational Pontryagin classes, local representations,
and equivariant K-theory, Pacific J. Math., to appear.
38. C. Schochet, Algebraic topology and C*-algebras, Contemp. Math.
167 (1994), 219-231.
39. C. Schochet, The UCT, the Milnor sequence, and a canonical decomposition
of the Kasparov groups, K-theory, to appear.
40. C. Schochet, Continuity of the Kasparov pairing and relative
quasidiagonality, preprint.
41. C. Schochet, The fine structure of the Kasparov groups, in preparation.
Organized the following meetings:
Special Session on "Operator Algebras and K-theory" at the annual
meeting of the Amer. Math. Soc., San Francisco, Jan. 7-10, 1981.
Special Session on "Operator Algebras and Foliations" at the annual meeting
of the Amer. Math. Soc., New Orleans, Jan. 7-11, 1986.
Research Conference on Geometric Design, held at WSU May 4-6, 1987,
with 200 participants (1/3 from industry and 1/3 from other universities).
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