Max Kelly

Max Kelly

Gregory Maxwell "Max" Kelly (1930–2007), mathematician, founded the thriving Australian school of category theory.

A native of Australia, Kelly obtained his Ph.D. at Cambridge University in homological algebra in 1957, publishing his first paper in that area in 1959, Single-space axioms for homology theory. He taught in the Pure Mathematics department at Sydney University from 1957 to 1966, rising from lecturer to reader. During 1963–1965 he was a visiting fellow at Tulane University and the University of Illinois, where with Samuel Eilenberg he formalized and developed the notion of an enriched category based on intuitions then in the air about making the homsets of a category just as abstract as the objects themselves.

He subsequently developed the notion in considerably more detail in his 1981 monograph Basic Concepts of Enriched Category Theory. Let V be a monoidal category, and denote by V-Cat the category of V-enriched categories. Among other things, Kelly showed that V-Cat has all weighted limits and colimits even when V does not have all ordinary limits and colimits. He also developed the enriched counterparts of Kan extensions, density of the Yoneda embedding, and essentially algebraic theories. The explicitly foundational role of the category Set in his treatment is noteworthy in view of the folk intuition that enriched categories liberate category theory from the last vestiges of Set as the codomain of the ordinary external hom-functor.

In 1967 Kelly was appointed Professor of Pure Mathematics at the University of New South Wales. In 1972 he was elected a Fellow of the Australian Academy of Science. He returned to the University of Sydney in 1973, serving as Professor of Mathematics until his retirement in 1994. In 2001 he was awarded the Australian government's Centenary Medal. He continued to participate in the department as Professorial Fellow and Professor Emeritus until his death at age 76 on 26 January 2007.

Kelly worked on many other aspects of category theory besides enriched categories, both individually and in a number of fruitful collaborations. His Ph.D. student Ross Street is himself a noted category theorist and early contributor to the Australian category theory school.

Read more about Max KellySee Also, External Links

Other articles related to "max kelly, kelly, max":

Max Kelly - External Links
... "Max Kelly", MacTutor History of Mathematics archive, University of St Andrews ... Max Kelly at the Mathematics Genealogy Project Max Kelly's Perpetual Web Page a memorial page set up by Kelly's son Simon Kelly ...
1987 In Film - Notable Films Released in 1987
... starring Michael Caine and Pierce Brosnan - (U.K.) Freckled Max and the Spooks (Pehavý Max a strašidlá) - (Czechoslovakia) From the Hip, directed by Bob Clark, starring Judd Nelson, Elizabeth Perkins ... Corey Feldman, Jami Gertz, Dianne Wiest Love at Stake, starring Patrick Cassidy, Kelly Preston, Barbara Carrera Love is a Fat Woman (El Amor es una ... Pathfinder (Veiviseren) - (Norway) Pelle the Conqueror, directed by Bille August, starring Max von Sydow - Academy and Golden Globe Awards for Best Foreign Language Film (for 1988) - (Denmark) Personal Services ...

Famous quotes containing the word max:

    I have thought of relocating, somewhere where I’d be more appreciated. California, perhaps. I could teach earthquake preparedness.
    Wesley Strick, U.S. screenwriter, and Martin Scorsese. Max Cady (Robert DeNiro)