I’m a mathematical engineer with an MSc degree in applied mathematics at the University of Chile. My research interests lie in Inverse Problems, PDEs and Deep Learning. I like to apply my knowledge in real-world problems, especially in those arising from the biomedicine area and medical imaging.

Currently, I’m working as a young researcher at the Millennium Nucleus for Cardiovascular Magnetic Resonance, where the goal of the project I’m carrying out is to reconstruct strain parameters from cine-MRI sequences with an image registration approach based on physics-informed neural networks. These strain parameters are, nowadays, being used to make better diagnosis and prognosis of heart’s diseases.

In my leisure time, I like to learn new things about deep learning, play the piano, play football, take a walk with Brunildo and listen to new musicians.

Interests

- Inverse Problems
- Partial Differential Equations
- Finite Element Method
- Deep Learning
- Physics-Informed Neural Networks
- Medical Imaging

Education

MSc in Applied Mathematics, 2020

Universidad de Chile, Facultad de Ciencias Físicas y Matemáticas

Civil Mathematical Engineering, 2020

Universidad de Chile, Facultad de Ciencias Físicas y Matemáticas

BSc in Engineering, with specialization in mathematics, 2018

Universidad de Chile, Facultad de Ciencias Físicas y Matemáticas

Minor in Quantum Physics, 2018

Universidad de Chile, Facultad de Ciencias Físicas y Matemáticas

Python

80%

Tensorflow

80%

Matlab

90%

Young researcher

Obtain cardiac strain parameters from cine-MRI sequences with physics-informed neural networks. Responsibilities include:

- Learning about MRI
- Modelling
- Programming
- Deploying
- Technologies used: Python, Tensorflow

Master Project

Stability for an inverse problem related to a 2D model of Light Sheet Fluorescence Microscopy based on heat equation and extension of the direct model to the 3D case.

- Technologies used: Matlab, Python, Tensorflow, Google Colab, High-Performance Computing with NLHPC

First Director

Mathematical Engineering Students Center at Universidad de Chile, Facultad de Ciencias Físicas y Matemáticas

Organize activities for the students community of the mathematical engineer career. I organized a baby football tournament, seminars with professors, among others activities.

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