Teaching

ENIM 2024 - The Math Behind the Magic: Neural Networks, Theory and Practice

Short Course, Mathematical Engineering Department, Universidad de Chile, 2024

Together with my fellow TA Diego Olguín, we taught a short course for the National Mathematical Engineering Encounter (ENIM 2024). It covered key theoretical and mathematical results related to neural networks; essential concepts such as network architectures, the universal approximation theorem, and optimization through stochastic gradient descent. Theoretical discussions were also combined with practical tutorials, focusing on applying the concepts on real-world data, with convolutional neural networks for image classification and physics-informed neural networks (PINNs) for simulating ODEs. The official course page is here, and the official GitHub repository shall be found here.

Teaching Assistant (TA) for Undergraduate and MSc. Courses

Undergraduate course, Universidad de Chile, Departmento de Ingeniería Matemática, 2024

I was in charge of planning, desinging and teaching the Tutorials for many subjects during my undergraduate years. Namely:

• ’Newtonian Physics’ (2019), undergraduate level.
• ’Multivariable Calculus’ (2020), undergraduate level.
• ’Markov Processes’ (2023), undergraduate level.
• ’Statistics’ (2023), undergraduate level.
• ’Abstract Algebra’ (2023), undergraduate level.
• ’Mathematical topics on Machine Learning, Neural Networks and Deep Learning’ (2024), masters level.

BasiCS Summer School

Summer School, CentraleSupélec, BasiCS, 2021

I was part of the team that organized and instructed the Math tutorships for international students arriving to CentraleSupélec. We were supervised by Erik Herbin (Mathematics professor at CentraleSupélec).