Who is Peter B. Gilkey?
Peter Belden Gilkey is an American mathematician, born on February 27, 1946, in Utica, New York. His work focuses on differential geometry and global analysis.
Education and Career
Gilkey graduated from Yale University with a master's degree in 1967. He then pursued his doctoral degree at Harvard University, where he was supervised by Louis Nirenberg and received his Ph.D. in 1972. The title of his dissertation was "Curvature and the Eigenvalues of the Laplacian for Geometrical Elliptic Complexes."
After completing his graduate studies, Gilkey held various academic positions. From 1971 to 1972, he was an instructor in computer science at New York University. From 1972 to 1974, he was a lecturer at the University of California, Berkeley. He then became an assistant professor at Princeton University, where he stayed from 1974 to 1980. Additionally, he spent one year at the University of Southern California (U.S.C.). In 1981, he became an associate professor at the University of Oregon, and in 1985, he was promoted to professor.
Achievements and Recognition
Gilkey is a fellow of the American Mathematical Society. In 1975, he was awarded a Sloan Fellowship, which is a prestigious recognition in the mathematical community. He also wrote a textbook on the Atiyah-Singer index theorem.
Retirement and Legacy
Gilkey retired from the University of Oregon in June 2021 and is now a Professor Emeritus. His work in differential geometry and global analysis has contributed significantly to the field of mathematics.
Context and Background
Differential geometry and global analysis are branches of mathematics that deal with the study of geometric objects and their properties. These fields have numerous applications in physics, engineering, and computer science. The Atiyah-Singer index theorem, which Gilkey wrote about, is a fundamental result in differential geometry that describes the properties of elliptic operators on manifolds.
FAQs
What is the main area of focus for Peter B. Gilkey's work? Peter B. Gilkey's work primarily focuses on differential geometry and global analysis.
What is the significance of the Atiyah-Singer index theorem? The Atiyah-Singer index theorem is a fundamental result in differential geometry that describes the properties of elliptic operators on manifolds.
What is the name of the university where Peter B. Gilkey spent one year as a lecturer? The University of California, Berkeley.
What is the title of Peter B. Gilkey's doctoral dissertation? "Curvature and the Eigenvalues of the Laplacian for Geometrical Elliptic Complexes."
What is the name of the prestigious fellowship awarded to Peter B. Gilkey in 1975? The Sloan Fellowship.