| Almost Rational Torsion Points on Elliptic Curves. International Mathematics Research Notices, 2001, no. 10, 487-503. | |
| Semistable Abelian Varieties over Q. Manuscripta Mathematica, 113 (2004), no. 4, 507-529. | |
| The Hecke Algebra has Large Index. (with M. Emerton) Math Research Letters, 11 (2004), no. 1, 125-137 | |
| On the ramification of Hecke Algebras at Eisenstein primes. (with M. Emerton) Inventiones Mathematicae, 160, (2005), no. 1, 97-144. | Slopes of Overconvergent 2-adic Modular Forms. (with K. Buzzard) Compositio Mathematica, 141 (2005), no 3, 591-604. | A counterexample to the Gouvea-Mazur conjecture. (with K. Buzzard) Comptes Rendus Mathematique, 338 (2004), no. 10, 751-753. |
| Mod p representations on Elliptic Curves. Pacific Journal of Mathematics. 225 (2006), no. 1, 1-11. | |
| Eisenstein Deformation Rings. Compositio Mathematica, 142 (2006), no. 1, 63-83. | |
| Conjectures about discriminants of Hecke Algebras. (with W. Stein) Algorithmic Number Theory (LNCS 3076): the proceedings of ANTS-VI. | Irrationality of certain p-adic periods for small p. International Mathematics Research Notices, 2005, no. 20, 1235-1249. |
| Elliptic Curves of odd modular degree. (with M. Emerton) Israel Journal of Mathematics, 169 (2009), 417-444. | The p = 2, N = 1 eigencurve is proper. (with K. Buzzard) Documenta Mathematica, Special Volume in honour of John Coates' 60th Birthday. | Automorphic forms and Rational homology 3-spheres. (with N. Dunfield) Geometry & Topology. 10 (2006), 295-329. | The Coleman-Mazur Eigencurve is Proper at Integral Weights. Algebra & Number Theory. 2 (2008), No. 2, 209-215. | Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms. (with M. Emerton) to appear in Annals of Mathematics. | Deformations of Artin Representations. (with B. Mazur) Journal de l'Institut de Math de Jussieu. (2009) 8(1), 99-177. | Borel-Wallach Vanishing and Potential Modularity. preprint. | Towards a Torsion Jacquet-Langlands correspondence. (with A. Venkatesh) in preparation. | Coming Soon | Completed Cohomology of Arithmetic Groups. (with M. Emerton) in preparation. | Coming Soon | Modularity Theorems for Reductive Groups. (with M. Emerton) in preparation. | Coming Soon |
| Book Review: "A First Course in Modular Forms", by F. Diamond and J. Shurman, Bulletin of the AMS, 43 (2006), 415-421. |
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