Allen Shields

Allen Lowell Shields (May 7, 1927 – September 16, 1989) was an American mathematician who worked on measure theory, complex analysis, functional analysis and operator theory,^[1][2][3] and was "one of the world's leading authorities on spaces of analytic functions."^[4]

Allen Shields
Born	Allen Lowell Shields (1927-05-07)May 7, 1927 New York, U.S.
Died	September 16, 1989(1989-09-16) (aged 62) Ann Arbor, Michigan, U.S.
Alma mater	City College of New York (BS) Massachusetts Institute of Technology (PhD)
Scientific career
Fields	Mathematics
Institutions	University of Michigan
Thesis	On Additive Properties of Real Numbers (1952)
Doctoral advisor	Witold Hurewicz
Other academic advisors	Raphaël Salem
Doctoral students	Theodore Kaczynski Joel Shapiro Russell Lyons

Shields was a student of Witold Hurewicz.^[5]

A special issue of The Mathematical Intelligencer, for which he served as editor of the "Years Ago" column, was dedicated to his memory in 1990.^[4]

Notable students

Shields directed a large number of doctoral dissertations,^[4][5] including the 1967 PhD thesis of Theodore Kaczynski, the future 'Unabomber', titled "Boundary Functions".^[5]