Thomas A. Garrity
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]
Early life and education[edit]
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[edit]
Garrity is currently a professor of mathematics at Williams College, where he has taught since 1989.[4]
Research[edit]
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]
Bibliography[edit]
His books include:
- Garrity, Thomas A. (2013). Algebraic Geometry: A Problem-Solving Approach. American Mathematical Society. ISBN 9780821893968.
- Garrity, Thomas A. (2004). All the Mathematics You Missed. Cambridge University Press. ISBN 9787302090854.
- Adams, Colin; Garrity, Thomas A. (2009). The United States of Mathematics Presidential Debate (DVD). ISBN 978-0-88385-910-0.
References[edit]
- ^ a b Birth year from Library of Congress catalog entry, retrieved 2024-04-05
- ^ a b "Thomas Garrity". Mathematics & Statistics. Retrieved February 20, 2023.
- ^ Garrity, Thomas (December 2021). "Curriculum Vitae of Thomas A. Garrity" (PDF).
- ^ "Thomas Garrity".
- ^ Bajaj, Chanderjit; Canny, John; Garrity, Thomas; Warren, Joe (1989). "Factoring Rational Polynomials over the Complex Numbers" (PDF). SIAM Journal on Computing. 22 (2): 318–331. doi:10.1137/0222024. ISSN 0097-5397.
- ^ Garrity, Thomas; Warren, Joe (February 1991). "Geometric continuity". Computer Aided Geometric Design. 8 (1): 51–65. doi:10.1016/0167-8396(91)90049-h. ISSN 0167-8396.
- ^ a b Garrity, Thomas (August 13, 1999), On periodic sequences for algebraic numbers, doi:10.48550/arXiv.math/9906016, retrieved May 6, 2024
External links[edit]
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