| 1984-1990 | Licenciado en Física, P. Universidad Católica, Santiago, Chile. |
| 1990-1992 | Graduate studies in physics, Universidad de Chile, Santiago, Chile. |
| 1992-1996 | Ph.D. in Mathematics, Courant Institute of Mathematical
Sciences, New York University,
New York City,
USA. Advisor: S.R.S. Varadhan |
| 1996-1997 | Postdoctoral position, Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau, France |
| 1997-1999 | Assistant, Département de Mathématiques, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. |
| 1999-2003 | Assistant Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile. |
| 2003-2012 |
Associate Professor, Facultad de Matemáticas, Pontificia Universidad Católica de
Chile,
Santiago, Chile. |
| 2012- |
Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile. |
Preprints & Other Manuscripts