Education

S.B., Mathematics, MIT, 1981
M.S., Mathematics, Univ. of Chicago, 1982
Ph.D., Mathematics, Univ. of Chicago, 1985
Thesis: Equivariant Cobordism and K-Theory,
Advisor: J. Peter May

Employment

Associate Dean for Budget and Planning, Hofstra College, 2010-
Associate Provost for Budget and Planning, Hofstra Univ., 2007-2010
Associate Dean for Budget and Planning, Hofstra College, 2001-2007
Professor of Mathematics, Hofstra Univ., 1997-
Associate Professor of Mathematics, Hofstra Univ., 1991-97
Assistant Professor of Mathematics, Hofstra Univ., 1987-91
C.L.E. Moore Instructor of Mathematics, MIT, 1985-87
Lecturer in Mathematics, Univ. of Chicago, 1983-85

Awards and Fellowships

Phi Beta Kappa, MIT, 1981
R.W. McCormick Fellowship, Univ. of Chicago, 1981-85
Meyer Prize in Mathematics, Univ. of Chicago, 1982
NSF Graduate Fellowship, Univ. of Chicago, 1982-85
Sigma Xi, Univ. of Chicago, 1985
Lawrence & Josephine Graves Lectureship Award, for "an outstanding record of effective and responsible teaching" by a graduate student in mathematics, Univ. of Chicago, 1985
Lawrence A. Stessin Prize for Outstanding Scholarly Publication, Hofstra Univ., 1990

Grants

NSF Grant #DMS8703357, 1987-88: Summer salary and travel support
Release time for research, Hofstra Univ.: 3 hrs 1989-90, 6 hrs each year 1990-92
Sabbatical, Fall 1993

Service

Referee, Topology and its Applications, since 2000
Referee, Fundamenta Mathematicae, since 1994
Referee, Bull. London Math. Soc., since 1991
Referee, Proc. Amer. Math. Soc., since 1988
Reviewer, Math. Reviews, since 1989
Math 10/10E coordinator, 1988-89
Departmental Personnel Committee, 1988-89, 90-96, Chair, 93-95
Grading Policy Committee, 1989-90
Review committee for Hofstra College Research and Development Grants, 1990, 91, 92, 93
Academic Computing Committee, 1990-1992
Core Curriculum Committee, 1994-1998
Faculty senator, 1994-2000
Faculty Affairs Committee, 1994-97, Chair, 95-97
Chair, Senate Executive Committee, 1997-2000
Saturday College Task Force, 1997-2000, Chair 1999-2000
Honors College Task Force, 1999-2000

Memberships

American Mathematical Society
Mathematical Association of America
Kappa Mu Epsilon
North American Guild of Change Ringers

Journal Articles

1. Equivariant Cobordism and K-Theory, Ph.D. Thesis, Univ. of Chicago, (1985).
2. The equivariant Conner-Floyd isomorphism, Trans. Amer. Math. Soc. 304 (1987), 801-818.
3. Unoriented bordism for odd-order groups, Topology & its Appl., 28 (1988), 277-287.
4. The structure of some equivariant Thom spectra, Trans. Amer. Math. Soc. 315 (1989), 231-254.
5. Equivariant orientations and G-bordism theory, with S. Waner, Pac. J. Math. 140 (1989), 63-84.
6. Approximating equivariant mapping spaces, with S. Waner & G.S. Wells, Pac. J. Math. 144 (1990), 15-45.
7. The equivariant Euler characteristic, with S. Waner & Y. Wu, J. Pure and Appl. Algebra 70 (1991), 227-249.
8. Fixed-set systems of equivariant infinite loop spaces, with S. Waner, Trans. Amer. Math. Soc. 326 (1991), 485-505.
9. A non-existence result for Moore G-spectra, with S. Waner, Proc. Amer. Math. Soc. 113 (1991), 265-274.
10. The equivariant Thom Isomorphism, with S. Waner, Pac. J. Math. 152 (1992), 21-39.
11. Equivariant Poincaré duality, with S. Waner, Michigan Math. J. 39 (1992), 325-351.
12. The equivariant Spivak normal bundle and equivariant surgery, with S. Waner, Michigan Math. J. 39 (1992), 415-424.
13. G-transversality revisited, with S. Waner, Proc. Amer. Math. Soc. 116 (1992), 535-546.
14. Generalized Toda brackets and equivariant Moore spectra, with S. Waner, Trans. Amer. Math. Soc. 333 (1992), 849-863.
15. Equivariant simple Poincaré duality, with S. Waner, Michigan Math. J. 40 (1993), 577-604.
16. Fixed sets of unitary G-manifolds, with M. Steiner and S. Waner, Proc. Amer. Math. Soc. 121 (1994), 1275-1287.
17. An introduction to equivariant cobordism, in J. P. May et al., Equivariant Homotopy and Cohomology Theory, CBMS Regional Conference Series in Math. 91, Amer. Math. Soc. (1996), 153-162.

Preprints

1. RO(Z/2)-graded Z/2-cohomology operations (1987).
2. Equivariant orientation theory, with J.P. May & S. Waner (1989), expanded and revised version in progress.
3. The equivariant Spivak normal bundle and equivariant surgery for compact Lie groups, with S. Waner. Available to download as a dvi file (82K) or as a PostScript® file (242K).
4. Classifying spaces of parametrized groupoids. Very preliminary preprint, the subject of a talk I gave Jan 10, 1997 at the Joint Mathematics Meeting in San Diego. This preprint will be rewritten sometime in the near future. Available to download as a dvi file (91K) or as a PostScript® file (540K).
5. Simplicial and categorical comma categories, preprint math.AT/0011252 at the arXiv.org e-print archive.

Textbooks

1. Finite Mathematics, Second Edition, with S. Waner, Brooks/Cole, 2001.
2. Applied Calculus, Second Edition, with S. Waner, Brooks/Cole, 2001.
3. Finite Mathematics and Applied Calculus, Second Edition, with S. Waner, Brooks/Cole, 2001.

Talks

1. Equivariant Orientation Theory, Northwestern Algebraic Topology Conference, Northwestern University, Spring 1988.
2. Proving the Fundamental Theorem of Algebra: A Topological Approach, for Kappa Mu Epsilon, Hofstra, Spring 1989.
3. Equivariant Orientation Theory, Algebraic Topology Conference, Poznan, Poland, Summer 1989.
4. Obstructions to Equivariant Moore Spectra, Topology Conference, University of Hawaii, Summer 1990.
5. Surgery Theory, Geometry/Topology Seminar, Hofstra, Fall 1990.
6. Equivariant Poincaré Duality, Ontario Topology Seminar, University of Toronto, Fall 1990.
7. Equivariant Cobordism, NSF/CBMS Regional Research Conference, Univeristy of Alaska, Fairbanks, Summer 1993
8. Parametrized groupoids and closed model structures on the category of small categories, Contributed Paper, Joint Math Meetings, San Diego, January 1997.