Thomas A. Garrity
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Thomas A. Garrity | |
|---|---|
| Born | April 25, 1959 |
| Academic background | |
| Education | |
| Thesis | On Ample Vector Bundles and Negative Curvature (1986) |
| Doctoral advisor | William Fulton |
Thomas Anthony Garrity (born 25 April 1959)[1] is an American mathematician. He teaches at Williams College, where he is the Webster Atwell Class of 1921 Professor of Mathematics.[2]
Thomas Anthony Garrity was born in 1959.[1] He completed his bachelor's degree in mathematics at the University of Texas at Austin in 1981.[2] He attended Brown University for doctoral studies, completing a PhD in mathematics in 1986 under the supervision of professor William Fulton. Garrity's doctoral thesis was titled On Ample Vector Bundles and Negative Curvature.[3]
Career
Garrity is currently a professor of mathematics at Williams College, where he has taught since 1989.[4]
Research
In 1989, Garrity and three other collaborators found an algorithm in NC to factorize rational polynomials over the complex numbers.[5]
In 1991, Garrity discovered the concept of "geometric continuity", which generalizes several other notions of continuity for both explicit and implicit surfaces.[6]
In 1999, Garrity came up with the concept of a simplex sequence, which is an alternate approach to the Hermite problem (of which the Jacobi-Perron algorithm is yet another approach).[7] For the case of ordered pairs, if the simplex sequence is eventually periodic, then the two numbers must be of degree at most three.[7]
Recognition
Garrity was a 2004 recipient of one of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics.[8]
