### Research Interests (Number Theory and Arithmetic Geometry):

Rational points on abelian varieties (e.g., elliptic curves) and modular curves; fields of definition of torsion points; Galois representations attached to abelian varieties.

### Thesis Advisor: David E. Rohrlich

### Academic Positions:

- Professor of Mathematics, August 2020 – present, University of Connecticut.
- Associate Professor of Mathematics, 2014 – 2020, University of Connecticut.
- Assistant Professor of Mathematics, 2008 – 2014, University of Connecticut.
- Director of the Quantitative Learning Center, September 2015 – present, University of Connecticut.
- Associate Director of the Quantitative Learning Center, August 2008 – August 2015, University of Connecticut.
- Visiting Research Professor, Jan 2015 – March 2015, Universidad Autonoma de Madrid, Spain
- Visiting Research Professor, March 15 – July 2015, Boston University, Boston, MA
- H. C. Wang Assistant Professor, July 2005-July 2008, Cornell University
- Faculty Fellow in Mathematics, Sept 2004-June 2005, Colby College

### Education:

- Ph.D., Mathematics, Sept 2000-May 2004, Boston University, Advisor: David Rohrlich.
- B.S., “Licenciado en Matematicas”, Sept 1996-June 2000, Universidad Autónoma de Madrid, Spain. Undergraduate advisor: Adolfo Quirós.
- International Diploma in Mathematics, Sept 1998-June 1999, Imperial College of Science, Technology, London. Advisor: Kevin Buzzard.

### Honors:

- Mathematics Junior and Visiting Faculty Teaching Award, November 2007, Cornell University
- Dean’s Fellowship, Sept 2000-June 2001, Boston University
- “Premio Extraordinario de Matematicas”, June 2000, Universidad Autónoma de Madrid, Spain. Best math major graduating in 2000, out of 400 matriculating students.