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	Massachusetts Institute of Technology
Scientific career
Fields	Mathematician
Institutions	University of Michigan
Thesis	On Additive Properties of Real Numbers (1952)
Doctoral advisor	Witold Hurewicz
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]

References

1. Duren, Peter (1990), "In remembrance of Allen Shields", The Mathematical Intelligencer, 12 (2): 11–14, doi:10.1007/BF03023995, ISSN 0343-6993, MR 1044920, S2CID 122157471
2. Shapiro, Harold S. (1990), "Allen Lowell Shields – some reminiscences", The Mathematical Intelligencer, 12 (2): 8–10, doi:10.1007/BF03023994, MR 1044919, S2CID 120565153
3. O'Connor, John J.; Robertson, Edmund F., "Allen Shields", MacTutor History of Mathematics Archive, University of St Andrews
4. Axler, Sheldon (1990), "Dedication", The Mathematical Intelligencer, 12 (2): 3, doi:10.1007/BF03023992, MR 1044917
5. Allen Shields at the Mathematics Genealogy Project