[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.
[4] In 1989, Garrity and three other collaborators found an algorithm in NC to factorize rational polynomials over the complex numbers.
[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 was a 2004 recipient of one of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics.