**Thomas Goodwillie **

**Professor of Mathematics**

**CONTACT INFO**

**Office:** 316 Kassar 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

**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.

**RESEARCH INTERESTS**

Topology of Manifolds

Abstract Homotopy Theory

Algebraic K-theory

**DIVERSITY AND INCLUSION**

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.

**PUBLICATIONS
**

* 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.