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 alt="Brown Home" />
Faculty Member

Thomas Goodwillie

Professor of Mathematics


Office: 316 Kassar House
Phone: (401) 863-2590
Fax: (401) 863-9013
Email: tomg<at>

Mailing Address:

    Mathematics Department
    Box 1917
    Brown University
    Providence, RI 02912

FALL 2020

Math 1260, Complex Analysis

The course will be taught remotely, with recorded mini-lectures and ample office hours (at times to be arranged).

The text will be Gamelin's Complex Analysis.


Topology of Manifolds
Abstract Homotopy Theory
Algebraic K-theory


I strongly believe in making the mathematics community open and inclusive for racial, gender, and sexual minorities that have been underrepresented. I have chaired the department's diversity and inclusion committee since its creation in 2017, and I also help organize the Horizons seminar.

Here is something I wrote.


Scissors Congruence with Mixed Dimensions. In Manifolds, K-theory, and related topics, Proceedings of the conference held in Dubrovnik, Croatia, June 23-27, 2014, Contemporary Mathematics.

An equivariant version of Hatcher's G/O construction. Journal of Topology (with Kiyoshi Igusa and Christopher Ohrt)

Multiple disjunction for spaces of smooth embeddings. Journal of Topology (2015) 8 (3) 651-674 (with John R. Klein)

The local structure of algebraic K-theory Springer (2012) (with B. I. Dundas and R. McCarthy)

A stable range description of the space of link maps. Algebraic and Geometric Topology 10 (2010) 1305-1315 (with Brian Munson)

Multiple disjunction for spaces of Poincare embeddings. Journal of Topology  (2008) 1 (4) 761-803 (with John R. Klein)

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. (with 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.