Modularity of some potentially Barsotti-Tate Galois representations. Compositio Mathematica140 (2004), no. 1, 31-63. (pdf)
The maximum number of points on a curve of genus 4 over F8 is 25 (with an appendix by Kristin Lauter) Canadian Journal of Mathematics55 (2003), no.2, 331-352. (pdf) Some examples accompanying the paper: (pdf)
A note on the symmetric powers of the standard representation of Sn (with Richard P. Stanley) Electronic Journal of Combinatorics7 (2000), R06, 8
Solutions to x3=y2 in PSL(2,Fq), 3-page appendix to "Generalised
knot groups distinguish the square and granny knots" by Christopher Tuffley Journal of Knot Theory and its Ramifications18
(2009), no. 8, 1129-1157. (pdf)
p-adic Geometry: Lectures from the 2007 Arizona Winter School
(co-edited with Dinesh Thakur) University Lecture Series 45, American Mathematical Society,
Providence, RI, 2008. 203 pp.
Modularity of some potentially Barsotti-Tate Galois
representations Ph.D. thesis, Harvard, 2001, advised by Richard Taylor (pdf) (Note: don't read this. Instead, read the Compositio paper with the
To my chagrin, the most-read item that I have ever written is almost
certainly the Springer GTM Test.