Lecture Notes
Lecture Slides
Non-abelian theorems of Dirichlet type, KIAS 2016 (link)
A Superficial Introduction to Langlands Functoriality, Oxford, 2015, KIAS 2016
A non-abelian conjecture of Birch and Swinnerton-Dyer type, dedicated to Martin Taylor on the occasion of his 60th birthday, Bordeaux, July 2012 (link)
Homotopy theory and Diophantine geometry, CNTA Lethbridge, June 2012 (link)
Diophantine geometry and non-abelian duality, Lorentz Center workshop, May 2011 (link)
Galois Theory and Diophantine geometry, Essen Workshop, February 2010 (link)
Galois Theory and Diophantine geometry ±12, Heidelberg workshop, February 2010 (link)
Galois Theory and Diophantine geometry ±11, Bordeaux workshop, January 2010 (link)
Galois Theory and Diophantine geometry, AMS-KMS joint meetings, Seoul, December 2009 (link)
Galois Theory and Diophantine geometry, Paris number theory seminar, November 2009 (link)
Galois Theory and Diophantine geometry, Oxford number theory seminar, November 2009 (link)
Galois Theory and Diophantine geometry, Colloquia at Leicester and Sheffield, Fall 2009 (link)
Galois Theory and Diophantine geometry 4, Cambridge anabelian workshop, August 2009 (link)
Galois Theory and Diophantine geometry, Cambridge workshop, July 2009 (link)
Selmer Varieties, Heidelberg seminar, April 2009 (link)
Selmer Varieties, Regensburg workshop on 'Finiteness for Motives and Motivic Cohomology', February 2009 (link)
Selmer Varieties, Pan Asian Number Theory, Pohang, January 2009 (link)
Selmer varieties, Cambridge number theory seminar, November 2008 (link)
Fundamental groups and Diophantine geometry, Lille colloquium, November 2008 (link)
Selmer Varieties, Fields lecture on Selmer varieties, October 2008 (link)
A non-abelian principle of Birch and Swinnerton-Dyer, Muenster lecture, June 2008 (link)
Fundamental groups and Diophantine geometry, Exeter colloquium, March 2008 (link)
Fundamental groups, principal bundles, and Diophantine geometry Kings colloquium, March 2008, (link)
Fundamental groups, principal bundles, and rational points Bangalore lecture, March 2008, (link)
Motivic fundamental groups and Diophantine geometry, IMSc Chennai, January 2008 (link)
The principle of Birch and Swinnerton-dyer for certain hyperbolic curves, London-Paris number theory seminar, November 2007 (link)
Older Lectures
The unipotent Albanese map and Diophantine geometry, Oberwolfach, August 2004 (link)
Galois groups and fundamental groups, KAIST algebraic geometry winter school, December 2004 (link)
Two similar lectures on Fundamental groups, polylogarithms, and Diophantine geometry:
Two similar lectures on Non-linearity, fundamental groups, and Diophantine geometry:
Kings College, London, colloquium April 2005, (link)
Rice colloquium, April 2005 (link)
Around the section conjecture: motivic aspects, Arbeitstagung, Bonn, June 2005 (link)
Three similar lectures on Fundamental groups and Diophantine geometry:
UWO colloquium, October 2005 (link)
Madison number theory day, November 2005 (link)
AMS/TMS joint meeting, Taichung, December 2005 (link)
Non-abelian cohomology varieties in Diophantine geometry, MSRI workshop cohomological approaches to rational points, March 2006 (link)
Galois theory and Diophantine geometry, Penn Galois theory workshop, April 2006 (link)
Fundamental groups and Diophantine geometry, London number theory seminar, June 2006 (link)
Fundamental groups and Diophantine geometry, RIMS arithmetic geometry conference, September 2006 (link)
Fundamental groups and Diophantine geometry, Tokyo University, October 2006 (link)
Fundamental groups and Diophantine geometry, Kinosaki, October 2006 (link)
Solutions, points, arrows, and paths, Hong Kong University Colloquium, November 2006 (link)
Anabelian geometry, path spaces, and Diophantine geometry, Hong Kong Geometry Colloquium, November 2006 (link)
The method of Coates and Wiles for integral points, Cambridge, October 2007 (link)
The principle of Birch and Swinnerton-Dyer for certain hyperbolic curves, Orsay, October 2007 (link)
IHES summer school, July 2006
Motivic L-functions (link)