Peter J. Freyd

Peter J. Freyd
Freyd in 2008
Born	February 5, 1936 (1936-02-05) (age 90) Evanston, Illinois, U.S.
Alma mater	Brown University (BA) Princeton University (PhD)
Known for	Allegory Freyd cover Freyd's adjoint functor theorem Freyd–Mitchell theorem HOMFLY polynomial
Scientific career
Fields	Category theory
Institutions	University of Pennsylvania
Doctoral advisors	Norman Steenrod David Buchsbaum
Doctoral students	Marta Bunge Murray Adelman Orville Kean Preston Kohn Douglas Howe David E. Joyce David N. Yetter Stacey Finkelstein

Peter John Freyd (/fraɪd/; born February 5, 1936) is an American mathematician, a professor at the University of Pennsylvania, known for work in category theory and for founding the False Memory Syndrome Foundation.

Mathematics

Freyd obtained his Ph.D. from Princeton University in 1960; his dissertation, on Functor Theory, was written under the supervision of Norman Steenrod and David Buchsbaum.

Freyd is best known for his adjoint functor theorem. He was the author of the foundational book Abelian Categories: An Introduction to the Theory of Functors (1964). This work culminates in a proof of the Freyd–Mitchell embedding theorem.

In addition, Freyd's name is associated with the HOMFLYPT polynomial of knot theory, and he and Andre Scedrov originated the concept of (mathematical) allegories.

In 2012, he became a fellow of the American Mathematical Society.

Publications

• Peter Freyd (1964). Abelian Categories: An Introduction to the Theory of Functors. Harper and Row. Reprinted with a forward as "Abelian Categories". Reprints in Theory and Applications of Categories. 3: 23–164. 2003.
• Peter J. Freyd and Andre Scedrov: Categories, Allegories. North-Holland (1999). ISBN 0-444-70368-3.
• Freyd Peter J (1999). "Path Integrals, Bayesian Vision, and Is Gaussian Quadrature Really Good?". Electron. Notes Theor. Comput. Sci. 29: 79. doi:10.1016/S1571-0661(05)80308-1.
• Freyd Peter J.; O'Hearn Peter W.; Power A. John; Takeyama Makoto; Street R.; Tennent Robert D. (1999). "Bireflectivity". Theor. Comput. Sci. 228 (1–2): 49–76. doi:10.1016/S0304-3975(98)00354-5.

External links

• Peter J. Freyd at the Mathematics Genealogy Project
• Printable versions of Abelian categories, an introduction to the theory of functors.