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Thomas Goodwillie
Professor of Mathematics
- CONTACT INFO
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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
Office Hours:
Tuesday 2:30-3:30
Wednesday 10:00-11:00
- COURSES
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Spring 2012
Math 1080 - Intermediate Calculus
I Hour and Tuesday 12:00-10:50 BH141
Math 1410 - Combinatorial Topology
K Hour Tuesday and Tuesday 2:30-3:50) BH141
Fall 2012
Math 0520 - Linear Algebra
J Hour Tuesday/Thursday 1:00-2:20
- RESEARCH INTERESTS
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Topology of Manifolds
Abstract Homotopy Theory
Algebraic K-theory
- BACKGROUND
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Education:
Ph.D., Princeton, 1982.
A.B., Harvard, 1976.
- RECENT PUBLICATIONS
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A stable range decription 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 1 (2008) 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. (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
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(with John Klein) Multiple disjunction for spaces of embeddings
- WISH I'D THOUGHT OF THAT
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Charles Rezk found a much simpler proof
of a key result (Lemma 1.9) in my paper Calculus III.