| 2015 | Diophantine equations graduate school | Hay-on-Wye, Wales |
| 2015 | Small gaps between primes workshop | Oberwolfach |
| 2014 | Small gaps between primes summer school | Oxford |
| 2014 | Analytic number theory summer school | IHES, Paris |
| 2012 | Focus in Mathematics | BYU, Utah |
| 2011 | AMS Math Research Community | Snowbird, Utah |
2011 | Annual visiting lecturer | Technion, Israel |
| 2009 | Mini-courses | ÉNS & Orsay, Paris |
| 2008 | Dressler lectures | Kansas State |
| 2005 | Kemeny lectures | Dartmouth College |
| 2004 | CVC lectures (Five Colleges) | Amherst College |
| 2001 | Gentry lectures | Wake Forest |
| 2001 | Banco Bilbao y Valencia lectures | U. Autonoma y Complutense, Madrid |
| 2000 | Computational Number Theory Workshop | MSRI, Berkeley |
| 1999 | InterCity Number Theory Seminar | Leiden, Holland. |
| 1999 | Théorie des nombres et geométrie arithmétique | CRM, Montreal. |
| 1997 | Analytic Number Theory Workshop | Hong Kong. |
| 1996 | Lecture series | University of Colorado, Boulder. |
| 1996 | Shrum lecture series | Simon Fraser U. |
| 1993 | Frontiers in Mathematics | Texas A.& M. U. |
| 1992 | Number Theory Workshop | Santander, Spain. |