Stephanie B. Alexander

Stephanie Brewster Brewer Taylor Alexander (September 1, 1941 – November 20, 2023)[1] was an American mathematician, a professor of mathematics at the University of Illinois at Urbana–Champaign.

[3] Alexander was born in Los Angeles and raised in Vancouver, British Columbia, and London, Ontario.

[4] She earned her Ph.D. from UIUC in 1967, under the supervision of Richard L. Bishop, with a thesis entitled Reducibility of Euclidean Immersions of Low Codimensions.

[4] Alexander's most significant achievements were in relation to the study of metric spaces with curvature bounds.

Of particular importance was her work with Bishop to establish a concept of curvature bounds in the style of Alexandrov geometry for semi-Riemannian manifolds and Lorentzian manifolds, an early step towards the development of synthetic geometry in a Lorentzian setting.

The mathematician Stephanie Alexander stands in front of a steel plate sculpture of the Boy Surface.
Stephanie Alexander at Oberwolfach.