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Curriculum vitae

Teaching blog

Profile page at the Mathematical Institute

Profile page at Merton College

Arithmetic Chern-Simons Theory I.

Diophantine Geometry and non-abelian reciprocity laws I. Documenta Mathematica (to be published).

A non-abelian conjecture of Birch and Swinnerton-Dyer type for hyperbolic curves.

(with J. Balakrishnan, I. Dan-Cohen, and S. Wewers)

A p-adic nonabelian criterion for good reduction of curves.

(with F. Andreatta and A. Iovita) Duke Math. J. 164 (2015), no. 13, 2597--2642.

On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication.

(with J. Coates, Z. Liang, and C. Zhao) Muenster J. Math. 7 (2014), 83--103.

Tangential localization for Selmer varieties.

Duke Math. J. 161 (2012), no. 2, 173--199.

A remark on fundamental groups and effective Diophantine methods for hyperbolic curves.

Selmer varieties for curves with CM Jacobians.

(with John Coates) Kyoto J. Math. 50 (2010), no. 4, 827--852.

Massey products for elliptic curves of rank 1.

J. of Amer. Math. Soc. 23 (2010), 725--747.

Appendix and erratum to "Massey products for elliptic curves of rank 1''.

(with J. Balakrishnan and K. Kedlaya) J. Amer. Math. Soc. 24 (2011), no. 1, 281--291.

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.

The motivic fundamental group of the projective line minus three points 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.

(Korean) Eunhaeng-namu Publishing, Seoul (2016)

Father's Mathematical Journey

(Korean) Eunhaeng-namu Publishing, Seoul (2014)

Prime Fantasy

(Korean) Banni Publishing, Seoul (2013)

Automorphic Forms and Galois Representations I, II

(co-edited with Fred Diamond and Payman Kassaei)

Non-abelian fundamental groups and Iwasawa theory

(co-edited with John Coates, Florian Pop, Mohamed Saidi, and Peter Schneider)

Autour des motifs I

(with R. Sujatha, L. Lafforgue, A. Genestier, and B.-C. Ngo)

(2002)

A vanishing theorem for Fano varieties in positive characteristic.

(2002)

Torsion points on modular curves and Galois theory

(with Ken Ribet, 1999)

(12 December, 2015)

Brief superficial remarks on Shinichi Mochizuki's Interuniversal Teichmueller Theory, version 1.

(16 November, 2015)

On relative computability for curves.

Asia Pac. Math. Newsl. 3 (2013), no. 2, 16--20.

Dietrich Fischer-Dieskau in Seoul

(June, 2012)

Mathematical Journeys

(2011, contribution to Korean edition of `Les Dechiffreurs')

On number and space

(September, 2010, lecture in memory of Yunsan Lee Won-Guk)

Non-abelian fundamental groups in arithmetic geometry

(for INI administration, 2009)

Galois Theory and Diophantine geometry

in

Fundamental groups and Diophantine geometry

Cent. Eur. J. Math. 8 (2010), no. 4, 633--645.

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

in

A superficial introduction to Langlands functoriality (KIAS, July, 2016)

Martin Taylor 60 (July, 2012)

CNTA Lethbridge (June 2012)

Lorentz Center workshop (May, 2011)

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)

Mathematika, member of editorial board

Research in Number Theory, member of editorial board