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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.