F. Reese Harvey

F. Reese Harvey
Born	Frank Reese Harvey 1941
Education	Carnegie Mellon University (BS, MA, 1963) Stanford University (PhD, 1966)
Known for	Calibrated geometry
Scientific career
Fields	Mathematics, Differential geometry
Institutions	Rice University
Thesis	Hyperfunctions and Linear Partial Differential Equations  (1966)
Doctoral advisor	Hikosaburo Komatsu

Frank Reese Harvey (born 1941) ^[1] is an American mathematician known for contributions to the field of differential geometry. In 1982, in collaboration with Blaine Lawson, Harvey introduced calibrated geometry, which is instrumental in the formulation of the SYZ conjecture. ^[2] He is Edgar Odell Lovett Professor and professor emeritus of mathematics at Rice University, ^[3]

Education and career

Harvey graduated from Carnegie Mellon University in 1963 with both a bachelor's and master's degree. ^[4] He obtained his Ph.D. from Stanford University in 1966, under the direction of Hikosaburo Komatsu. ^[5]

He joined the Rice University faculty in 1968, and retired as Edgar Odell Lovett Professor in 2003. ^[6]

Recognition

In 1983 he was an invited speaker at the International Congress of Mathematicians in Warsaw. ^[7] In 2024, he was elected to the United States National Academy of Sciences. ^[3]

Selected 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.
• Harvey, Reese; Lawson, H. Blaine Jr. (1982). "Calibrated geometries". Acta Mathematica . 148: 47–157. doi: 10.1007/BF02392726 . MR   0666108. Zbl   0584.53021.
• 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. ^[8]

References

1. "Harvey, F. Reece". LC Name Authority File. Library of Congress. Retrieved March 14, 2025.
2. Gross, Mark; Huybrechts, Daniel; Joyce, Dominic (2003). Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001. Universitext. Springer-Verlag, Berlin. doi:10.1007/978-3-642-19004-9. ISBN   3-540-44059-3. MR   1963559. See p. 31 for credit for introducing calibrated geometry, definition 10.1, p. 50 for the connection between calibrations and the special Lagrangian submanifolds of the SYZ conjecture, and p. 64 for the formulation of the SYZ conjecture.
3. "Nine mathematicians elected to National Academy of Sciences". American Mathematical Society . April 30, 2024.
4. "F. Reese Harvey". The People of Rice. Rice University. Retrieved March 14, 2025.
5. F. Reese Harvey at the Mathematics Genealogy Project
6. "Celebration honors F. Reese Harvey's election to National Academy". Natural Sciences News. Rice University Wiess School of Natural Sciences. September 17, 2024. Retrieved March 14, 2025.
7. "ICM Plenary and Invited Speakers". International Mathematical Union. Retrieved March 13, 2025.
8. Reviews of Spinors and Calibrations:
   • Norio Ejiri, MR 1045637
   • James Hebda, Zbl   0694.53002
   • L. Mason, Bull. London Math. Soc., doi : 10.1112/blms/24.2.198