Research 

• Fourier analysis on the Euclidean space and Lie groups

• Dispersive Equations

• Pseudodifferential calculus (Analysis of Partial Differential Equations)

• Spectral theory of quantum oscillators (Schrödinger equation)

• Toeplitz Operators 

• Analysis on Banach spaces

• Control Theory

• 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