December 19, 1952 |
New York City, New York, USA
|Institutions||University of Pennsylvania|
|Doctoral advisor||Michael Artin|
|Doctoral students||Sybilla Beckmann
Jing Long Hoelscher
|Known for||Proof of Abhyankar's conjecture|
|Notable awards||Cole Prize (1995)|
Life and work
After graduating summa cum laude in 1974, Harbater earned a master's degree from Brandeis University and then a Ph.D. in 1978 from MIT, where he wrote a dissertation (Deformation Theory and the Fundamental Group in Algebraic Geometry) under the direction of Michael Artin.
In 1995, Harbater was awarded the Cole Prize for his solution, with Michel Raynaud, of the long outstanding Abhyankar conjecture. He has also solved the inverse Galois problem over , and made many other significant contributions to the field of Galois theory.
Harbater's recent work on patching over fields, together with Julia Hartmann and Daniel Krashen, has had applications in such varied fields as quadratic forms, central simple algebras and local-global principles.
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
- Harbater, D. (1994). "Abhyankar's Conjecture on Galois Groups Over Curves". Invent. Math. 117 (1): 1–25. doi:10.1007/BF01232232.
- Recollections of Arthur Rothstein, (Math Teammate of Harbater)
- Cole Prize citation for David Harbater
- David Harbater at the Mathematics Genealogy Project
- Harbater's home page at Penn
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