In my research I am mainly focused in problems within one of the following areas or where the interplay between several of them arises: Fourier Analysis, Functional Analysis, Partial Differential Equations (PDE) and Spectral Theory.

Recent Projects

  • Control Theory and Microlocal Analysis with applications in PDEs. MathAmSud project 21 Math-03 d 21MATH-03

  • Existence, regularity and uniqueness for a class of Pseudodifferential equations. Universidad del Valle. 2021-2022

  • Pseudodifferential calculus and spectral theory. Universidad del Valle. 2019-2021

  • Analysis in the phase-space. Leverhulme Trust. Imperial College London and Queen Mary University. 2017-2019

  • Quantization on Nilpotent groups and Analysis on the phase-space. Leverhulme Trust. Imperial College London- 2014-2017

  • Pseudo-Differential Operators and Operator Ideals. Marie Curie International Incoming

Fellowship. Imperial College London. 2012-2014

In the following platforms you can also discover more info about my research: