E.R. Hedrick Lectures of the MAA, August 2003:

Lecture 1: Elliptic curves

Lecture 2: Modular forms

Lecture 3: Hilbert's twelfth problem

Colloquium de l'Université Paris VI et VII, Chevaleret, Juin 2004.

Conférence Plénière, Congrès de la SMC et de la SMF, Toulouse, Juillet 2004.

Formes modulaires et équations diophantiennes

Colloquium, Yale, March 2004 and University of Maryland, April 2004.

Modular forms and diophantine equations

Conference in honor of Harold Stark's 65th Birthday, Minneapolis, Minnesota, August 2004.

Stark-Heegner points attached to real quadratic fields

Conférence Québec-Maine, Université Laval, Octobre 2004.

Les points de Stark-Heegner: résultats et problèmes

Midwest Number Theory Conference, University of Chicago, October 2004.

Stark-Heegner points: a status report

Colloquium, McMaster University, April 2005.

dvi, ps, pdf.

Invited Lecture, Number Theory Section, ICM 2006, Madrid.

dvi, ps, pdf.

Joint Brandeis-Harvard-MIT-Northeastern Colloquium, February 2008, Harvard.

pdf.

Colloquium de Jussieu. Juin 2008, Chevaleret.

pdf.

Lecture at the Conference "Number Theory and Representation Theory", in honor of Dick Gross's 60th Birthday. June 2010, Harvard.

Lecture at the Cambridge conference on the Birch and Swinnerton-Dyer conjecture, May 2011, Cambridge, UK.

Lecture at the LMS symposium on Automorphic forms and Galois representations, July 2011, Durham, UK.

Lecture at the BIRS conference on Cycles on modular varieties, November 2011, Banff, Alberta.

A video recording of my presentation can be downloaded here.

Lecture at a conference on

(in honor of Haruzo Hida's 60th birthday)

Lecture at a conference on Number Theory with a view towards transcendence and Diophantine approiximation,

marking Michel Waldschmidt's honorary degree at the University of Ottawa.

June 2013, University of Ottawa.

Lecture at a conference at UCSD marking Harold Stark's retirement.

September 2013, San Diego.

Lecture at a conference at the CRM marking Ram Murty's 60th birthday.

October 2013, Montréal.