Research

My research focuses on Mathematics applied to problems in the natural sciences. I am particularly interested in applications of stochastic processes and differential equations to complex systems, pattern emergence and uncertainty quantification.

Here is my full Curriculum Vitae.

Current research projects

• Data assimilation and homotopy. Joint with Juan Restrepo, Oak Ridge National Laboratory.

• Stability and invariance of large scale random dynamical systems in ecology. Joint with Alexander Valencia, UdeA.

• Tools for contextualized mathematics in engineering education. Joint with Insitituto para la Eduación en Ingeniería.