skip navigation

This page is designed for modern browsers. You will have a better experience with a better browser.

Brown Home Brown Home Brown Home Brown Home Brown Home Brown Home
Faculty Member

Thomas Goodwillie

Professor of Mathematics

CONTACT INFO

Office: 304 Kassar-Gould House
Phone: (401) 863-2590
Fax: (401) 863-9013
Email: tomg<at>math.brown.edu

Mailing Address:

    Mathematics Department
    Box 1917
    Brown University
    Providence, RI 02912

COURSE SCHEDULE

Spring 2006

Math 242: Topology

RESEARCH INTERESTS

Topology of Manifolds
Abstract Homotopy Theory
Algebraic K-theory

BACKGROUND

Education: Ph.D., Princeton, 1982.

RECENT PUBLICATIONS

Calculus III, Taylor series.  Geometry and Topology  7 (2003) 645-711 arXiv

A Haefliger type description of the embedding calculus tower  Topology 42 (2003) 509-524 (with John Klein and Michael Weiss)

Spaces of smooth embeddings, disjunction, and surgery  in Annals of Math. Studies 149, Surveys on surgery theory (vol. 2), 2000, ed. A. Ranicki, and J. Rosenberg, 221-283 (with John Klein and Michael Weiss)

A Cohomological bound for the h-topology  American J. of Math. 123 (2001), 425-443. (with Stephen Lichtenbaum)

Embeddings from the point of view of immersion theory II  Geometry and Topology 3 (1999), 103--118 (with Michael Weiss) click here

A remark on the homology of cosimplicial spaces  J. Pure Appl. Algebra 127 (1998), no. 2, 167--175.

On the algebraic K-theory of simply connected spaces  Duke Math. J. 84 (1996), no. 3, 541--563 (with Marcel Bökstedt, Gunnar Carlsson, Ralph Cohen, Wu-chung Hsiang, and Ib Madsen)

Calculus II, Analytic functors  K-Theory 5 (1991/92), no. 4, 295--332.

The differential calculus of homotopy functors  Proceedings of the International Congress of Mathematicians, Vol. I (Kyoto, 1990), 621--630, Math. Soc. Japan, Tokyo, 1991.

Calculus I, The first derivative of pseudoisotopy theory  K-Theory 4 (1990), no. 1, 1--27.

A multiple disjunction lemma for smooth concordance embeddings  Mem. Amer. Math. Soc. 86 (1990), no. 431, 317 pp.

The free loop space and the algebraic K-theory of spaces  K-Theory 1 (1987), no. 1, 53--82. (Gunnar Carlsson, Ralph Cohen, and Wu-chung Hsiang)

Relative algebraic K-theory and cyclic homology  Ann. of Math. (2) 124 (1986), no. 2, 347--402.

Correction to: "On the general linear group and Hochschild homology" [Ann. of Math. (2) {121} (1985), no. 2, 383--407; MR 86i:18013]  Ann. of Math. (2) 124 (1986), no. 3, 627--628.

Cyclic homology, derivations, and the free loopspace  Topology 24 (1985), no. 2, 187--215.

On the general linear group and Hochschild homology  Ann. of Math. (2) 121 (1985), no. 2, 383--407.

WORKS IN PROGRESS

Excision estimates for spaces of homotopy equivalences.  (nearly final draft) pdf file

Excision estimates for spaces of diffeomorphisms. (needs work) pdf file

Excision estimates for spaces of smooth embeddings (with John Klein)

Stability of concordance embeddings in codimension >2.