About me

I am Adrián, currently a second-year PhD student at ONERA and University of Toulouse (INSA) in France, under the supervision of Pascal Noble and Éric Savin.

I am interested in modeling problems and physics-informed machine learning, particularly methods based on Gaussian process regression for estimating solutions of differential equations, from both a mathematical and numerical perspective. I am also interested in methods based on neural networks.

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Short Curriculum

I hold a Master's degree in Mathematics and Applications (track Analysis, Modelling, Simulation) from University Paris-Saclay in France, and a Bachelor of Science in Mathematics from Yachay Tech in Ecuador (with an interdisciplinary training background in science and engineering).

Adrian
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Curriculum

Formal Education

  1. Université de Toulouse - INSA IMT

        

    INSA Toulouse

        

    Universite de Toulouse

    Doctoral Thesis in Applied Mathematics

    November 2023 — Present

    Title: Resolution of PDEs by physics-informed Gaussian process regression
    Supervised by Pascal Noble and Éric Savin and attached to the Institute of Mathematics of Toulouse (IMT) and ONERA - The French Aerospace Lab

  2. Université Paris-Saclay Universite Paris Saclay

    Master in Mathematics and Applications

    August 2021 — September 2023

    •    M2 Analysis, Modelling, Simulation (mention Bien)

    •    M1 Mathematics and Interactions (mention Très Bien)

  3. Universidad Yachay Tech Yachay Tech

    Bachelor of Science in Mathematics

    January 2017 — August 2021

    Mention Magna Cum Laude

Experience

  1. ONERA - The French Aerospace Lab ONERA

    Doctoral Researcher

    November 2023 - Present

    Research position for doctoral studies, attached to the unit of Applied Mathematics and High-performance Computing

  2. Inria Saclay - Team MΞDISIM Inria

    Research Intern

    April — August 2023

    Title : Data-based modeling of pharmacological effects in a biomechanical model of the cardiovascular system: application in critical care monitoring.
    Supervised by Dominique Chapelle and François Kimmig as part of the project AnaestAssist, in collaboration with Hospital Lariboisière of Paris and Politecnico di Milano

  3. Laboratoire de Mathématiques et Modélisation d'Évry LaMME

    Research Intern

    April — July 2022

    Title : Quelques caractérisations équivalentes des espaces de Hardy
    Supervised by Diego Chamorro, in the domain of harmonic analysis

  4. School of Mathematical and Computational Sciences - Yachay Tech ECMC

    Research Assistant

    August - October 2020

    Title : Existence of Solutions, Approximate and Exact Controllability of Non-Autonomous Semilinear Differential Equations with Non-Instantaneous Impulses, Delay and Non-local Conditions
    Supervised by Hugo Leiva, in the domain of control theory


    Teaching Assistant

    November 2020 — January 2021

    In the course Numerical Methods (S4), supervised by Franklin Camacho

Academics

  • Brief Review of Functional Data Analysis: A Case Study on Regional Demographic and Economic Data

    Padilla-Segarra, A., González-Villacorte, M., Amaro, I.R. et Infante, S.

  • On the Existence and Uniqueness of Solutions for Semi-linear Non-autonomous Systems with Non-instantaneous Impulses, Delay and Non-local Conditions

    Lalvay, S., Padilla-Segarra, A., et Zouhair, W.

  • Model of Technological Competencies as Determinants of Innovation: A Comparative Intersectoral Study in Ecuador

    Arcos, C., Padilla, A.

  • ONERA PhD Days SNA 2024 : poster and organisation January 2024

  • AMARUN 8th Conference of Ecuadorian Mathematicians in Paris : organisation September 2022

  • AMARUN 7th Conference of Ecuadorian Mathematicians in Paris : organisation October 2021

  • SEDEM 2th Ecuadorian Conference in Mathematics : presentation December 2020

  • CEDIA TICEC–2020 Conference on Information and Communication Technologies : proceedings and presentation Novembre 2020

  • ISAE—SUPAERO

    Exercises (PC) and Lab Sessions (BE) in Numerical Analysis (1st year, 8h) Toulouse, France 2024—2025

  • AMARUN Association

    Summer course on Gaussian process regression for numerical modeling of PDEs (equivalent to L3 & M1, 10 hours online) Quito, Ecuador 2024

  • INSA Toulouse

    Exercises (TD) and Lab Sessions (TP) in Signal Processing II (3rd year INSA, 22.5 hours) Toulouse, France 2023—2024

  • Universidad Yachay Tech

    Tutoring in Numerical Methods I (S4, equivalent to L2, 13 hours) Urcuquí, Ecuador 2020—2021

Contact

  • Bureau 120
    INSA Toulouse - Département de Génie Mathématique et Modélisation
    135 avenue de Rangueil
    31077 Toulouse CEDEX 4
    France

    • Site template adapted from vcard