Poids de l'inertie modérée de certaines
représentations cristallines (avec
Xavier
Caruso)
Journal de Théorie des Nombres de Bordeaux22
(2010), 79-96. (pdf)
Polygones de Hodge, de Newton et de l'inertie
modérée des
répresentations semi-stables (avec
Xavier
Caruso)
Mathematische Annalen343 (2009), no. 4, 773-789.
(pdf)
Polynomials, meanders, and paths in the lattice of
noncrossing partitions
Transactions of the A.M.S361 (2009), 3083-3107. (pdfps)
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)
Breuil modules for Raynaud schemes
Journal of
Number Theory128 (2008), 2939-2950. (pdfdvi)
Harmonic algebraic curves and noncrossing partitions (with
Jeremy Martin and Ted
Singer).
Discrete and Computational Geometry37 (2007),
267-286.
(pdfps)
Modularity of some potentially Barsotti-Tate Galois
representations.
Compositio Mathematica140 (2004), no. 1, 31-63.
(pdfps)
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.
(pdfps). Some examples accompanying the paper:
(pdfps)
A note on the symmetric powers of the standard representation of
Sn
(with Richard P. Stanley).
Electronic Journal of Combinatorics7 (2000), R06, 8
pages.
(pdfps)
Books edited:
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.
Thesis:
Modularity of some potentially Barsotti-Tate Galois
representations, Ph.D. thesis, Harvard, 2001. Advisor: Richard Taylor.
(pdfps)
(Note: don't read this. Instead, read the Compositio paper with the
same title.)
Expository:
The Mathematics of Gauss. Ongoing project.
(pdfps)
Cohomology on Grothendieck Topologies (with Andrew Archibald). (pdfps) Warning: this paper still requires some revision.
A site-theoretic characterization of points in a topological space (with Andrew Archibald and Pete Clark).
(pdfps)
Associated Primes and Primary Decomposition. Clarifies differences among the treatments of this
subject by Atiyah-MacDonald, Bourbaki, and Matsumura. (pdfps)
Noncommutative Algebra for Part III of Serre's Linear Representations of Finite Groups. Harvard
University minor thesis. (pdf)
Problem solving:
From January 1998 to December 2001, I edited the Challenge Board problems section of
Crux Mathematicorum with Mathematical Mayhem.
Those volumes are still subscribers-only content at the Crux website, so I cannot post them all,
but here are two sample columns:
Russell Mann and I wrote the problems for the 2001 Konhauser Problemfest. Here are the problems,
together with a brief history of the Konhauser Problemfest by Stan Wagon of Macalester College:
(pdfps)