Ranks of elliptic curves. Lecture #5 to Ross program counselors, July 2003.
Elliptic curves and Iwasawa theory. ICM lecture, Beijing, August 2002.
Ranks of elliptic curves. Fields Institute 10th anniversay celebration, Toronto, June 2002.
Ranks of elliptic curves. AMS-MAA-SIAM lecture, Washington DC, January 20 2000.
Right triangles and elliptic curves. SUMO lecture, May 11 1999.
The Solving of Fermat's Last Theorem. Ohio State University Distinguished Lecture, May 1997.