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F. Reese Harvey

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F. Reese Harvey
Born
Frank Reese Harvey
EducationCarnegie Mellon University (BS, MA, 1963)
Stanford University (PhD, 1966)
Known forCalibrated geometry
Scientific career
FieldsMathematics, Differential geometry
InstitutionsRice University
Thesis Hyperfunctions and Linear Partial Differential Equations  (1966)
Doctoral advisorHikosaburo Komatsu

Frank Reese Harvey is Professor Emeritus of mathematics at Rice University, known for contributions to the field of differential geometry. He obtained his Ph.D. from Stanford University in 1966, under the direction of Hikosaburo Komatsu.[1] Over half of his work has been done in collaboration with Blaine Lawson. Their 1982 introduction of calibrated geometry, in particular, is among the most widely cited papers in differential geometry.[2] It is instrumental in the formulation of the SYZ conjecture.

In 1983 he was an invited speaker at the International Congress of Mathematicians in Warsaw.[3]

Major publications

  • Harvey, Reese; Polking, John (1970). "Removable singularities of solutions of linear partial differential equations". Acta Mathematica. 125: 39–56. doi:10.1007/BF02838327. MR 0279461. Zbl 0214.10001.
  • Harvey, F. Reese; Lawson, H. Blaine, Jr. (1975). "On boundaries of complex analytic varieties. I". Annals of Mathematics. Second Series. 102 (2): 223–290. doi:10.2307/1971032. MR 0425173. Zbl 0317.32017.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  • Harvey, Reese; Lawson, H. Blaine, Jr. (1982). "Calibrated geometries". Acta Mathematica. 148: 47–157. doi:10.1007/BF02392726. MR 0666108. Zbl 0584.53021.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  • Harvey, F. Reese (1990). Spinors and calibrations. Perspectives in Mathematics. Vol. 9. Boston, MA: Academic Press. ISBN 0-12-329650-1. MR 1045637. Zbl 0694.53002.

References

  1. ^ F. Reese Harvey's Mathematics Genealogy page
  2. ^ Google Scholar page
  3. ^ Harvey, F. Reese. "Calibrated geometries". Proceedings of the International Congress of Mathematicians, 1983, Warsaw. Vol. 1. pp. 797–808.