Department of Mathematics

University College London

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London WC1E 6BT

United Kingdom

Web Page at Oxford

Teaching blog

London number theory blog

Massey products for elliptic curves of rank 1. J. of Amer. Math. Soc. 23 (2010), 725--747.

Appendix and erratum: Massey products for elliptic curves of rank 1. (with Jennifer Balakrishnan and Kiran Kedlaya) J. Amer. Math. Soc. 24 (2011), no. 1, 281.

p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication. Annals of Math. 172 (2010), no. 1, 751--759.

The unipotent Albanese map and Selmer varieties for curves. Publ. Res. Inst. Math. Sci. 45 (2009), no. 1, 89--133.

The l-component of the unipotent albanese map. (with Akio Tamagawa) Math. Ann. 340 (2008), no. 1, 223--235.

A remark on fundamental groups and effective Diophantine methods for hyperbolic curves. Serge Lang memorial volume (to be published).

The motivic fundamental group of P^1-{0,1,\infty} and the theorem of Siegel. Invent. Math. 161 (2005), no. 3, 629--656.

The Hyodo-Kato theorem for rational homotopy types. (with Richard Hain) Math. Res. Lett. 12 (2005), no. 2-3, 155--169.

A note on Szpiro's inequality for curves of higher genus. (2002)

A vanishing theorem for Fano varieties in positive characteristic.(2002)

Torsion points on modular curves and Galois theory (with Ken Ribet, 1999)

Galois Theory and Diophantine geometry (2009)

Fundamental groups and Diophantine geometry (Leeds colloquium, 2008)

Mathematical vistas (2007)

Diophantine geometry as Galois theory in the mathematics of Serge Lang. Notices Amer. Math. Soc. 54 (2007), no. 4, 476--497.

Motivic L-Functions (lecture at IHES summer school, 2006)

Essen workshop (February, 2010)

Heidelberg workshop (February, 2010)

Bordeaux workshop (January, 2010)

AMS-KMS joint meetings, Seoul (December, 2009)

Paris number theory seminar (November, 2009)

Oxford number theory seminar (November, 2009)

Colloquia at Leicester and Sheffield (Fall, 2009)

Cambridge anabelian workshop (August, 2009)

Cambridge workshop (July, 2009)

Heidelberg seminar (April, 2009)

Regensburg workshop on 'Finiteness for Motives and Motivic Cohomology' (February, 2009)

Pan Asian Number Theory, Pohang (January, 2009)

Cambridge number theory seminar (November, 2008)

Lille colloquium (November, 2008)

Fields lecture on Selmer varieties (October, 2008)

Muenster lecture (June, 2008)

Exeter colloquium (March, 2008)

Kings colloquium (March, 2008)

Bangalore lecture (March, 2008)

IMSc Chennai (January, 2008)

London-Paris number theory seminar (November, 2007)