Lorraine Foster Explained

Lorraine L. Foster
Birth Date:	25 December 1938
Birth Place:	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. Foster's Erdos number is 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

• L. Foster (1989). Finite Symmetry Groups in Three Dimensions, CSUN Instructional Media Center, Jan. 1989 (video, 27 minutes).
• L. Foster (1990). Archimedean and Archimedean Dual Polyhedra, CSUN Instructional Media Center, Feb. 1990 (video, 47 minutes). https://www.worldcat.org/title/archimedean-and-archimedean-dual-polyhedra/oclc/63936926&referer=brief_results
• 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. The Mathematical Heritage of CF Gauss, pp 267–281.
• L. Foster (1991). The Alhambra Past and Present—a Geometer’s Odyssey Part 1, CSUN Instructional Media Center, December 1991 (video, 40 minutes).
• L. Foster (1991). The Alhambra Past and Present—a Geometer’s Odyssey Part 2, CSUN Instructional Media Center, December 1991 (video, 40 minutes). https://www.worldcat.org/title/alhambra-past-and-present-a-geometers-odyssey-parts-1-and-2/oclc/28680624?loc=94043&tab=holdings&start_holding=7
• 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.
• L. Foster (1992). Regular-Faced Polyhedra—an Introduction, CSUN Instructional Media Center, Dec. 1992 (video, 47 minutes)
• 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 ^{r} 3 ^{s} 5 ^{t} . Rev. Mat. Univ. Complut. Madrid, 8(1), 13–48.

Notes and References

1. On the characteristics roots of the product of certain rational matrices of order two. 10.7907/JE7E-1393. 1964. Foster. Lorraine Lois. California Institute of Technology. phd.