Research

Ph. D in Mathematics, Departamento de Análisis Matemático. Universidad Complutense de Madrid. 2011.

Thesis title: Some topics in lipschitz analyisis on metric spaces.

Thesis Advisor: Prof. Jesús A. Jaramillo Aguado (Universidad Complutense de Madrid).

My main research interests are analysis on metric spaces, geometric analysis, non linear potential theory and functional analysis.

PUBLICATIONS

The following papers are earlier versions of the final articles and therefore may differ from the journal article.

PREPRINTS

RESEARCH STAYS

  1. Scuola Normale Superiore di Pisa. Pisa, Italy. September 2008-December 2009. Supervisor: Prof. Luigi Ambrosio.
  2. Mathematisches Institut, Universität Bern. Bern, Switzerland. September 2009-December 2009. Supervisor: Prof. Zoltán Balogh.
  3. Department of Mathematical Sciences, University of Cincinnati. Cincinnati, USA. June 2010-July 2010. Supervisor: Prof. Nageswari Shanmugalingam.
  4. Department of Mathematics, School of Science and Technology. Aalto University. Helsinki, Finland. April 2011.
  5. Instituto de Investigación de la Universidad de Sevilla (IMUS). Departamento de Análisis Matemático, Universidad de Sevilla. Sevilla. May-June 2011
  6. Laboratoire Jacques Louis Lions. Paris, France. March 2012-June 2012.
  7. Institute for Pure and Applied Mathematics, UCLA. Los Angeles, USA. March 2013-May 2013. Program Interactions between Analysis and Geometry.
  8. Department of Mathematical Sciences, University of Cincinnati. Cincinnati, USA. May 2014.
  9. Laboratoire Imath, Université de Toulon. France. July 2014.
  10. Departamento de Ingeniería Matemática de la Universidad de Chile. Santiago de Chile, Chile. March 2015.
  11. IMPAM, Warsaw. Poland. October 2015
  12. Department of Mathematical Sciences, University of Cincinnati. Cincinnati, USA. April 2016.
  13. Departamento de Ingeniería Matemática de la Universidad de Chile. Santiago de Chile, Chile. June 2016.
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