In 1964, Lorraine Lois Foster achieved a milestone at the California Institute of Technology by becoming the first woman to earn a Ph.D. in mathematics from the institution. Her doctoral research was completed under the guidance of thesis advisor Olga Taussky-Todd, marking a significant entry for women in advanced mathematical studies in the United States.
Early Education and Transitions
Born Lorraine Lois Turnbull on December 25, 1938, in Culver City, California, she initially pursued studies at Occidental College. During her undergraduate tenure, she concentrated her academic focus on physics. Her transition to the California Institute of Technology was facilitated by a Woodrow Wilson Foundation fellowship, which supported her graduate work in the specialized realm of number theory.
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Following the completion of her doctorate in 1964, Foster joined the faculty at California State University, Northridge. Her career remained centered at this institution, where she engaged in research and teaching. Her contributions to the mathematical community include an Erdos number of 2, reflecting her collaborative reach within the international research network.
Research and Diophantine Analysis
Much of Foster's published research focuses on the properties of Diophantine equations and rational integral matrices. Collaborating frequently with L. J. Alex, she examined complex numerical relationships, including equations involving prime bases and power exponents. Her 1966 paper in the Pacific Journal of Mathematics explored characteristic roots of product matrices, establishing early themes in her study of algebraic structures.
Symmetry and Geometry
Beyond pure number theory, Foster investigated mathematical symmetry and polyhedral structures. In the 1990s, she produced a series of instructional videos for the CSUN Media Center covering topics such as Archimedean polyhedra and the geometry found in the Alhambra. Her written work on this subject includes an exploration of the symmetry group of the dodecahedron and discussions on convex polyhedral models presented in the context of the mathematical heritage of C. F. Gauss.
Fast facts
- Born: December 25, 1938, Culver City, California
- Undergraduate Alma Mater: Occidental College
- Doctoral Institution: California Institute of Technology
- Ph.D. Year: 1964
- Thesis Advisor: Olga Taussky-Todd
- Primary Employer: California State University, Northridge
- Field of Study: Number Theory
- Erdos Number: 2
Questions readers ask
What is Lorraine Foster's main area of mathematical research?
She specializes in number theory, with specific attention to Diophantine equations and the theory of mathematical symmetry.
What is the significance of her 1964 Ph.D. at Caltech?
She was the first woman to receive a Ph.D. in mathematics from the California Institute of Technology.
Achievements
- Held posts at California State University, Northridge
- Fields: number theory
