# David Harbater

David Harbater
Born December 19, 1952 (age 61)
New York City, New York, USA
Nationality American
Fields Mathematics
Institutions University of Pennsylvania
Alma mater MIT
Brandeis University
Harvard University
Doctoral students Sybilla Beckmann
Eric Dew
Ryan Eberhart
Shuvra Gupta
Hilaf Hasson
Tamara Lefcourt
Claus-Georg Lehr
Jing Long Hoelscher
Andrew Obus
Rachel Pries
Katherine Stevenson
Cui Yin
Known for Proof of Abhyankar's conjecture
Notable awards Cole Prize (1995)

David Harbater (born December 19, 1952) is an American mathematician at the University of Pennsylvania, well known for his work in Galois theory, algebraic geometry and arithmetic geometry.

## Life and work

Harbater was born in New York City and attended Stuyvesant High School, where he was on the math team. After graduating in 1970, he entered Harvard University.

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 $\mathbb{Q}_p(t)$, and made many other significant contributions to the field of Galois theory.

In 2012 he became a fellow of the American Mathematical Society.[1]

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.

## References

1. ^ 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.