My research is focused on the use of chebfuns for polynomial and rational approximation in the complex plane. I am interested in best and "near-best" approximations, Padé and Chebyshev-Padé approximation and barycentric interpolation. Currently I am working in numerical analytic continuation and efficient methods to detect the singularity structure of analytic functions. I am one of the authors of Chebfun version 2, and I am constantly looking for improvements and applications of the system.
Some of my previous work was on wavelets, high performance computing, data mining and credit risk analysis.
I was born and raised in Bogotá, Colombia, where I lived for more than 25 years. I attended Los Andes University and graduated from Mathematics and Electrical Engineering with a minor in International Business. After I finished my studies I worked for two years in Davivienda Bank developing financial risk models. In 2004 I moved to Utrecht, the Netherlands, and followed a 2-years MSc course in Applied Mathematics. While in the Netherlands, I also did an internship in Philips Research Laboratories in Eindhoven. Since October 2006 I live in Oxford, England, as a D.Phil. student of Exeter College reading in Numerical Analysis under the supervision of Prof. Lloyd N. Trefethen.
