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] 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] 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]