Garrity's research is in algebraic and differential geometry and in

number theory. At Williams, Garrity teaches many different courses,

including multivariable calculus, Fourier analysis, number theory,

Galois theory, and algebraic geometry. He has been instrumental in the

Williams' SMALL research program, which has produced more publications

than any other in the country; he alone has advised 37 summer research


His "All the Mathematics You Missed (But Need to Know for Graduate

School)," published by Cambridge University Press, is a bestseller among

technical books in mathematics. It is an overview of topics covered in

undergraduate mathematics including linear algebra, vector calculus,

differential geometry, real analysis, point-set topology, differential

equations, probability theory, complex analysis, abstract algebra, and


Garrity graduated from the University of Texas in 1981, earning both a

B.A. with highest honors in philosophy and a B.S. with highest honors in

mathematics. He received his Ph.D. from Brown University in 1986.

Before coming to Williams in 1989, he held the post-doctoral position of

G.C. Evans Instructor of Mathematics at Rice University, where he

received the Nicolas Salgo Outstanding Teacher Award.

He spent the 1992-93 academic year as a visiting professor at the

University of Washington and the 2000-01 academic year as a visiting

professor at the University of Michigan.