Thomas Goodwillie (mathematician)

Thomas G. Goodwillie (born 1954) is an American mathematician and professor at Brown University who has made fundamental contributions to algebraic and geometric topology. He is especially famous for developing the concept of calculus of functors, often also named Goodwillie calculus.

Thomas G. Goodwillie
NationalityAmerican
Alma materHarvard University (A.B., M.A., 1976)
Princeton University (Ph.D., 1982)
Known forCalculus of functors
Scientific career
FieldsTopology, K-Theory
InstitutionsHarvard University, Brown University
Doctoral advisorWu-Chung Hsiang

Life

Goodwillie studied at Harvard University and Princeton University, where he completed his PhD at in 1982, under the supervision of Wu-Chung Hsiang.[1] He then went to Harvard as an associate professor, and in 1987 to Brown University, where he obtained tenure in 1991.[2]

He developed the calculus of functors in a series of three papers in the 1990s and 2000s,[3][4][5] which has since been expanded and applied in a number of areas, including the theory of smooth manifolds, algebraic K-theory, and homotopy theory.[6]

He has advised 11 PhD students.[1]

Goodwillie is interested in issues of racial and gender equality and has taught a course on this topic.[7] He is an active user on MathOverflow.[8]

Recognition

Goodwillie received a Sloan Fellowship and the Harriet S. Sheridan Award. He is a Fellow of the American Mathematical Society.[9]

A conference with leading topologists as speakers was organized on the occasion of his 60th birthday.[10]

References

  1. Thomas Goodwillie at the Mathematics Genealogy Project
  2. "Goodwillie's CV" (PDF).
  3. T. Goodwillie, Calculus I: The first derivative of pseudoisotopy theory, K-theory 4 (1990), 1-27.
  4. T. Goodwillie, Calculus II: Analytic functors, K-theory 5 (1992), 295-332.
  5. T. Goodwillie, Calculus III: Taylor series, Geom. Topol. 7 (2003), 645-711.
  6. "Workshop at berwolfach about Goodwillie Calculus".
  7. "Goodwillie's class on race and gender".
  8. "Goodwillie's profile page on Mathoverflow".
  9. "List of fellows of the AMS".
  10. "Goodwillie's birthday conference".


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