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
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]
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]
Garrity, Thomas A. (2015). Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills. Cambridge University Press. ISBN9781107078208.
Garrity, Thomas A. (2013). Algebraic Geometry: A Problem-Solving Approach. American Mathematical Society. ISBN9780821893968.
Garrity, Thomas A. (2004). All the Mathematics You Missed. Cambridge University Press. ISBN9787302090854.
Adams, Colin; Garrity, Thomas A. (2009). The United States of Mathematics Presidential Debate (DVD). ISBN978-0-88385-910-0.
