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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
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:
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