Thomas A. Garrity
{{Short description|American mathematician}}
{{Use mdy dates|date=February 2023}}
{{Infobox academic
| thesis_title = On Ample Vector Bundles and Negative Curvature
| thesis_year = 1986
| doctoral_advisor = William Fulton
| name = Thomas A. Garrity
| birth_date = {{birth date and age|1959|4|25}}
| education = {{ubl|University of Texas at Austin|Brown University}}
}}
Thomas Anthony Garrity (born 25 April 1959) is an American mathematician. He teaches at Williams College, where he is the Webster Atwell Class of 1921 Professor of Mathematics.{{Cite web |title=Thomas Garrity |url=https://math.williams.edu/thomas-garrity/ |access-date=2023-02-20 |website=Mathematics & Statistics |language=en-US}}
Early life and education
Thomas Anthony Garrity was born in 1959.Birth year from [https://id.loc.gov/authorities/names/n2001002291.html Library of Congress catalog entry], retrieved 2024-04-05 He completed his bachelor's degree in mathematics at the University of Texas at Austin in 1981. 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.{{Cite web |last=Garrity |first=Thomas |date=December 2021 |title=Curriculum Vitae of Thomas A. Garrity |url=https://math.williams.edu/files/2022/01/cvgarrityDecember-2021.pdf}}
Career
Garrity is currently a professor of mathematics at Williams College, where he has taught since 1989.{{cite web | url=https://math.williams.edu/thomas-garrity/ | title=Thomas Garrity }}
= Research =
In 1989, Garrity and three other collaborators found an algorithm in NC to factorize rational polynomials over the complex numbers.{{Cite journal |last1=Bajaj |first1=Chanderjit |last2=Canny |first2=John |last3=Garrity |first3=Thomas |last4=Warren |first4=Joe |date=1989 |title=Factoring Rational Polynomials over the Complex Numbers |url=https://www.cs.utexas.edu/~bajaj/cvc/papers/1989/journal/p81-bajaj.pdf |journal=SIAM Journal on Computing |language=en |volume=22 |issue=2 |pages=318–331 |doi=10.1137/0222024 |issn=0097-5397}}
In 1991, Garrity discovered the concept of "geometric continuity", which generalizes several other notions of continuity for both explicit and implicit surfaces.{{Cite journal |last1=Garrity |first1=Thomas |last2=Warren |first2=Joe |date=February 1991 |title=Geometric continuity |url=https://doi.org/10.1016/0167-8396(91)90049-H |journal=Computer Aided Geometric Design |volume=8 |issue=1 |pages=51–65 |doi=10.1016/0167-8396(91)90049-h |issn=0167-8396|url-access=subscription }}
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).{{cite journal
| last = Garrity | first = Thomas
| arxiv = math/9906016
| doi = 10.1006/jnth.2000.2608
| issue = 1
| journal = Journal of Number Theory
| mr = 1825992
| pages = 86–103
| title = On periodic sequences for algebraic numbers
| volume = 88
| year = 2001}} For the case of ordered pairs, if the simplex sequence is eventually periodic, then the two numbers must be of degree at most three.
Recognition
Garrity was a 2004 recipient of one of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics.{{cite journal|url=http://www.ams.org/notices/200405/comm-maa.pdf|title=MAA Awards Presented in Phoenix|journal=Notices of the American Mathematical Society|pages=544–545|date=May 2004|volume=51|issue=5}}
Bibliography
His books include:
- {{Cite book |last=Garrity |first=Thomas A. |title=Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills |publisher=Cambridge University Press |year=2015 |isbn= 9781107078208}}
- {{Cite book |last=Garrity |first=Thomas A. |title=Algebraic Geometry: A Problem-Solving Approach |publisher=American Mathematical Society |year=2013 |isbn=9780821893968}}
- {{Cite book |last=Garrity |first=Thomas A. |title=All the Mathematics You Missed |publisher=Cambridge University Press |year=2004 |isbn=9787302090854}}
- {{Cite AV media |title=The United States of Mathematics Presidential Debate |date=2009 |last=Adams |first=Colin |last2=Garrity |first2=Thomas A. |type=DVD |isbn=978-0-88385-910-0}}
References
{{reflist}}
External links
- [https://math.williams.edu/thomas-garrity/ Website]
- [https://www.genealogy.math.ndsu.nodak.edu/id.php?id=4475 Mathematics Genealogy Project]
{{Authority control}}
{{DEFAULTSORT:Garrity, Thomas A.}}
Category:American mathematicians
Category:University of Texas at Austin alumni