Max Kelly

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Template:Short description Template:For Template:Use dmy dates Template:Infobox scientist Gregory Maxwell "Max" Kelly (5 June 1930 – 26 January 2007) was an Australian mathematician who worked on category theory.

Biography

Kelly was born in Bondi, New South Wales, Australia, on 5 June 1930.[1] He obtained his PhD at Cambridge University in homological algebra in 1957, publishing his first paper in that area in 1959, Single-space axioms for homology theory.[1][2] He taught in the Pure Mathematics department at the University of Sydney from 1957 to 1966, rising from lecturer to reader.[1] During 1963–1965 he was a visiting fellow at Tulane University and the University of Illinois,[1] 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.Template:Citation needed

He subsequently developed the notion in considerably more detail in his 1982 monograph Basic Concepts of Enriched Category Theory.[3] Let 𝒱 be a monoidal category, and denote by Template:Nowrap the category of Template:Nowrap categories. Among other things, Kelly showed that Template:Nowrap 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.Template:Citation needed

In 1967 Kelly was appointed Professor of Pure Mathematics at the University of New South Wales.[1] In 1972 he was elected a Fellow of the Australian Academy of Science.Template:Citation needed He returned to the University of Sydney in 1973, serving as Professor of Mathematics until his retirement in 1992.[1] In 2001 he was awarded the Australian government's Centenary Medal. He continued to participateTemplate:Dubious in the department as professorial fellow and professor emeritus until his death at age 76 on 26 January 2007.[1]

Kelly worked on many other aspects of category theory besides enriched categories, both individually and in a number of collaborations.Template:Citation needed His PhD students include Ross Street.[2]

References

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