| 2008 | UMM | Dessins d'enfants |
| Arizona State | Chebyshev covers and exceptional number fields | |
| U of Nebraska, Omaha | Chebyshev covers and exceptional number fields | |
| 2007 | U of Texas, Austin | Chebyshev covers and exceptional number fields |
| SJTN Madrid | Una conjetura de finitud para cuerpos de números | |
| Arizona State | Wild Partitions and Number Theory | |
| 2006 | UMM | A new result in game theory |
| U of Florida | Fractalized cyclotomic polynomials | |
| U of Florida | A database of local fields | |
| Arizona State | Fractalized cyclotomic polynomials | |
| Arizona State | Octic 2-adic fields | |
| 2005 | U of Wisconsin, Madison | Fractalized cyclotomic polynomials |
| U of Nebraska, Omaha | A database of local fields | |
| 2004 | CNTA-8 Toronto | Singular primes for three point covers |
| 2003 | Arizona State | Generic polynomials with small discriminant |
| 2002 | UMM | Discriminants of Yablonsky-Vorobiev polynomials |
| CNTA-7 Montreal | An ABC construction of number fields | |
| 2001 | Arizona State | Discriminants of some Painleve polynomials |
| 2000 | Millennial NT conference, U of Illinois | Roots of generalized Jacobi polynomials |
| 1999 | AMS meeting, San Antonio | Number fields with prescribed ramification |
| UMM | Rigid Matrix Tuples | |
| 1998 | Arizona State | Three point covers and remarkable polynomials |
| ANTS-III, Portland | Searches for number fields | |
| Rutgers | ABC construction of PQ fields | |
| 1997 | Rutgers | Modular forms with conductor 2a |
| Rutgers | Number fields with prescribed ramification | |
| 1996 | U of California at Irvine | Motivic Galois groups of some genus two curves |
| CNTA-5 Ottawa | Sextic number fields with discriminant -j 2a 3b | |
| 1995 | Caltech | Character measures I,II,III |
| Arizona State | Character measures | |
| AMS meeting, Chicago | Computing motivic Galois groups | |
| U of Southern California | Computing motivic Galois groups | |
| 1994 | U of Chicago | A motivic inverse problem and some solutions |
| 1993 | U of Toronto | Equidistribution in motivic Galois groups I,II |
| U of Saskatoon | Motives and de Rham cohomology | |
| 1992 | Arizona State | Motivic Galois groups |
| Arizona State | Numerical computation with motivic L-functions | |
| 1991 | CMS meeting, Montreal | Equidistribution in motivic Galois groups |
| 1990 | U of Chicago | Introduction to motives I,II,III,IV,V |
| U of Illinois | Motives and Langlands reciprocity | |
| 1988 | U of Chicago | Gross-Zagier formula for Shimura curves |
| U of Michigan | Gross-Zagier formula for Shimura curves |