# Lorraine Foster

Lorraine L. Foster
Dr. Foster in 1964. (Photo from the Los Angeles Times Photographic Collection, UCLA Library Digital Collections)
Born December 25, 1938
Culver City, California
Citizenship American
Education B.A. 1960, Occidental College; Ph.D. 1964, California Institute of Technology
Occupation Mathematician
Employer California State University, Northridge

Lorraine Lois Foster (December 25, 1938, Culver City, California) is an American mathematician. In 1964 she became the first woman to receive a Ph.D. in mathematics from California Institute of Technology.[1] Her thesis advisor at Caltech was Olga Taussky-Todd.[2]

Born Lorraine Lois Turnbull, she attended Occidental College where she majored in physics. She was admitted to Caltech after receiving a Woodrow Wilson Foundation fellowship. In 1964 she joined the faculty of California State University, Northridge. She works in number theory and the theory of mathematical symmetry.

## Selected Bibliography

• Foster, L. (1966). On the characteristic roots of the product of certain rational integral matrices of order two. Pacific Journal of Mathematics, 18(1), 97–110. http://doi.org/10.2140/pjm.1966.18.97
• Brenner, J. L., & Foster, L. L. (1982). Exponential diophantine equations. Pacific Journal of Mathematics, 101(2), 263–301.
• Alex, L. J., & Foster, L. L. (1983). On diophantine equations of the form $1 + 2^a = p^b q^c + 2^d p^e q^f$. Rocky Mountain Journal of Mathematics, 13(2), 321–332. http://doi.org/10.1216/RMJ-1983-13-2-321
• Alex, L. J., & Foster, L. L. (1985). On the Diophantine equation $1 + p^a = 2 + 2^b + 2^c p^d$. Rocky Mountain Journal of Mathematics, 15(3), 739–762. http://doi.org/10.1216/RMJ-1985-15-3-739
• Foster, L. L. (1990). On the symmetry group of the dodecahedron. Mathematics Magazine, 63, 106–107.
• Foster, L. L. (1991). Convex polyhedral models for the finite three-dimensional isometry groups. In G. M. Rassias (Ed.), The Mathematical Heritage of C F Gauss (pp. 267–281). Singapore: World Scientific.
• Alex, L. J., & Foster, L. L. (1992). On the Diophantine equation $\bf 1+x+y=z$. Rocky Mountain Journal of Mathematics, 22(1), 11–62. http://doi.org/10.1216/rmjm/1181072793
• Alex, L. J., & Foster, L. L. (1995). On the Diophantine equation $w+x+y=z$, with $wxyz=2\sp r3\sp s5\sp t$. Rev. Mat. Univ. Complut. Madrid, 8(1), 13–48.