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Welcome to my homepage!
I am a mathematical physicist from the Université Paris-Saclay. I am currently a Ph.D. student at the Institute de Mathématiques d'Orsay under the supervision of Frédéric Rousset.
I completed a master's degree in Mathematics and Applications (M2 Analysis, Modelisation, and Simulation) at Université Paris-Saclay. Previously, I studied at the Universidad de Chile, obtaining a master's degree in applied mathematics from the Departamento de Ingeniería Matemática (DIM UCH) under the advice of Claudio Muñoz.
In addition, I completed a bachelor's program in Physics from the Departamento de Física at the Universidad de Chile, and a degree in mathematical engineering DIM UCH.
Research
Research
My area of interest is related to Partial Differential Equations in Mathematical Physics. I am currently exploring problems of stability in fluidmechanics.
My recent work has been related to Nonlinear Dispersive Equations, stability, and asymptotic stability. The nonlinear equations of Yang-Mills, Klein-Gordon, and Schrodinger types are among my main theoretical motivations.
I am also open to new problems in mathematics with physical motivations.
Publications/Preprints
Publications/Preprints
I. Acevedo, and C. Muñoz, Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole, https://arxiv.org/abs/2501.12790 (2025).
Talks
Talks
PhD students' seminar at LJLL, Sorbonne Université. May 28th, Paris, France.
I jornada anual de nuevos edepistas, University of Chile, January 8th 2025, Santiago, Chile.
Teaching Experience
Teaching Experience
2018 - 2022. Teaching Tutorials, FCFM, Universidad de Chile.
In the following courses, I was in charge of explaining problems and resolutions to the students ("Travaux dirigés" in French / "Ayudantías" in Spanish):
Dispersive Equations, Mathematical Methods in Physics, Partial Differential Equations, Complex Analysis, Advanced Calculus, Multivariable Calculus, and Optimization.
Fellowships
Fellowships
2024-2027. International Thesis CNRS-MITI, Ph.D. in mathematics, France.
2024. Ph.D. fellowship program MathPhdInFrance, FSMP, France. Application selected but refused.
2023-2024. Sophie Germain Master's degree Scholarship, FMJH - UPS and IPP, France.
2022 - 2023. National Master's degree Scholarship ANID, Chile.
2020, 2021. Annual Award for Excellence in Studies in Physics, University of Chile.
2019, 2020. Annual Award for Excellence in Studies in Mathematical Engineering, University of Chile.
2018. Santander - Universidad Autónoma de Madrid scholarship, Spain.
2016, 2017. Annual Award for Excellence in Studies in the Common Core, University of Chile.
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