Esteban Paduro
Since 2021 postdoc at Pontifica Universidad Católica de Chile
Funded by ANID FONDECYT postdoctoral.
email: esteban.paduro (at) gmail
Research interests
Neurostimulation: Currently interested in understanding the responses of neuron systems to electrical stimulation. Particularly recently I have been working on the problems of conduction block and interferential current stimulation.
Fluid Mechanics: I am interested in the question of the loss of well-posedness happening on fluid equations when the regularity of the initial data is not enough. In my PhD thesis, I considered an explicit construction of initial data that made the solutions arbitrarily large after an arbitrarily short time.
Education
2020 - Ph.D. in Mathematics, University of Pennsylvania, USA. Advisor: Robert Strain
Thesis: On The Breakdown Of Stability For The Muskat Problem And The Epitaxial Growth Equation
2013 - MSc. in Mathematics, Universidad Tecnica Federico Santa Maria. Advisor: Eduardo Cerpa and Alberto Mercado
Thesis: Approximate Controllability of the Two Trapped Ions System
2013 - Mathematical Engineer, Universidad Técnica Federico Santa María
Publications and preprints
2024 - (preprint) Canelas A., Carrasco M., López J. and Paduro E. - FDIPA-SOC: A MATLAB Package for Nonlinear Second-Order Cone Programs.
2024 - (Accepted) Cerpa E., Corrales N., Courdurier M., Medina L. E., and Paduro E. - The impact of high frequency-based stability on the onset of action potentials in neuron models. SIAM Journal on Applied Mathematics. arXiv
2023 - (Preprint) Cerpa E., Courdurier M., Hernández E., Medina L. E., and Paduro E. - Approximation and stability results for the parabolic FitzHugh-Nagumo system with combined rapidly oscillating sources. arXiv
2024 - Paduro, E. - The Second Iterate of the Muskat Equation in Supercritical Spaces. Nonlinearity. 37, 4 (2024). 10.1088/1361-6544/ad2b13 arXiv
2023 - Causade T., Paduro E., Courdurier M., Cerpa E., Grill W. M., Medina L. E. - Towards a more accurate quasi-static approximation of the electric potential for neurostimulation with kilohertz-frequency sources. J. Neural Eng. 20 066035 (2023). 10.1088/1741-2552/ad1612 BioArxiv
2023 - Cerpa E., Courdurier M., Hernández E., Medina L. E., and Paduro E. - A partially averaged system to model neuron responses to interferential current stimulation. J. Math. Biol. 86, 8 (2023). 10.1007/s00285-022-01839-8. BioArxiv
2015 - Paduro, E., Sigalotti, M. - Approximate controllability of the two trapped ions system. Quantum Inf Process 14, 2397–2418 (2015). 10.1007/s11128-015-0991-3. Arxiv
Teaching
2024/1 - Calculus III, Pontifica universidad Católica de Chile
2023/2 - Linear Algebra, Pontifica universidad Católica de Chile
2023/1 - Calculus I, Pontifica universidad Católica de Chile
2022/2 - Calculus II, Pontifica universidad Católica de Chile
2022/1 - Precalculus, Pontifica universidad Católica de Chile
2021/1 - Discrete Mathematics, Universidad Adolfo Ibañez, Chile
2018/Summer - Linear Algebra and Differential Equations, University of Pennsylvania, USA
Awards and Scholarships
2024 - ANID FONDECYT Postdoctorado 2024
2018 - Dean Scholar, University of Pennsylvania, USA
2015 - Becas Chile for PhD Students, Conicyt, Chile.
2014 - Fulbright Nomination for PhD Studies, Fulbright Foundation, Chile
2013 - Mejor Titulado de Ingeniería Matemática, Universidad Técnica Federico Santa María, Chile
2012 - National Master Scholarship, Conicyt, Chile.
2008,2011,2013 - Academic Merit Prize, Universidad Técnica Federico Santa María, Chile.
2008-2023 - Lista de Honor, Universidad Técnica Federico Santa María, Chile.
2006 - National Score in Entrance Test to Chilean Universities, Ministry of Education. Chile.