Peter B. Gilkey

Peter Belden Gilkey ( born February 27, 1946 in Utica, New York) is an American mathematician who is engaged in Differential Geometry and Global Analysis.

Gilkey studied at Yale University with a master's degree in 1967 and in 1972 from Harvard University with Louis Nirenberg doctorate ( Curvature and the Eigenvalues ​​of the Laplacian for Geometrical Elliptic Complexes ). 1971/72 he was instructor in computer science at New York University 1972-1974 Lecturer at the University of California, Berkeley. 1974 to 1980 he was assistant professor at Princeton University and in 1981 he became associate professor in 1985 and professor at the University of Oregon.

He wrote a textbook on the Atiyah-Singer index theorem. In 1975 he was Sloan Fellow. He is a Fellow of the American Mathematical Society.

Writings

  • Invariance Theory, the Heat Equation and the Atiyah -Singer index theorem, Publish or Perish, 1984 Online
  • With Tohru Eguchi, Andrew J. Hanson, Gravitation, Gauge Theories and Differential Geometry, Physics Reports, Volume 66, 1980, pp. 213-393
Utica (New York) Atiyah–Singer index theorem Sloan Fellows Integrated Authority File
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