Design and rigorous analysis of oscillatory quadrature rules based on complex contour deformations. The computational cost of these methods is independent of the frequency, and the accuracy improves as frequency increases.
Analysis and error quantification of models commonly used in neuro-stimulation in the kilohertz-frequency regime.
Github: qs-khz-neurostimulation
Design of robust, accurate and efficient solvers based on BIE to simulate wave scattering by (infinite) periodic arrays of obstacles.
Github: PeriodicMedia.jl
Caussade T, Paduro E, Courdurier M, Cerpa E, Grill WM, Medina LE. (2023) Towards a more accurate quasi-static approximation of the potential for neurostimulation with kilohertz-frequency sources. J. Neural Eng. 20 066035. preprint paper
Strauszer-Caussade T, Faria LM, Fernandez-Lado A, Pérez-Arancibia C. (2023) Windowed Green function method for wave scattering by periodic arrays of 2D obstacles. Stud Appl Math; 150: 277–315. preprint paper
"Windowed Green function method for wave scattering by periodic arrays of 2D obstacles". 16th WAVES Conference, 2024. Berlin, Germany. BoA
"Windowed Green function method for acoustic and electromagnetic wave scattering by periodic media". KIT Conference on Mathematics of Wave Phenomena. Germany 2022 (online). Joint work with Carlos Pérez-Arancibia and Luiz M Faria. BoA
"On the numerical steepest descent method for oscillatory integrals with non-entire phase functions". Waves and Imaging Adelaide-Nottingham Colloquium. Nottingham, United Kingdom. Sept. 2025.
"On the numerical steepest descent method for oscillatory integrals with non-entire phase functions". Singular and Oscillatory integration: applications and advances. London, United Kingdom. Jun. 2024.
"Error quantification of the quasi-static approximation for the electric neurostimulation modelling". Inverse Problems Methods, Applications and Synergies (IPMAS). Santiago, Chile. Jan. 2023.
"Quasiperiodic electromagnetic fields". Journées Scientifiques INRIA. Chile 2022 (online)
"Numerical steepest descent method for oscillatory integrals with singular phase functions". ICOSAHOM. Montreal, Canada. July 2025.
"Windowed Green function for wave scattering by periodic arrays of obstacles". Workshop of Waves in Complex Media, Paris. Mar. 2025.
"An efficient numerical-asymptotic method for high-frequency wave scattering problems". ECR seminar 2025, UCL Mathematics.
"Implementation of the numerical steepest descent for oscillatory integrals with singular phase function". Workshop on HNABEM, Brunel University London. London, UK. Jan. 2025
"High-frequency scattering and oscillatory integrals". Postgraduate Seminar, UCL Mathematics. London, UK. Nov. 2024
Imperial-UCL Numerics seminar. London, UK. Jan. 2024.
"Show and Tell". PUC, organized by the SIAM student chapter. Santiago, Chile. Dec. 2022.
"Quasiperiodic electromagnetic fields and applications". PUC research's week. Chile 2022.
"Windowed Green function method for scattering by periodic media". National Meeting of Mathematical Engineering (ENIM). Santiago, Chile Jul. 2022.
Research assistant at Millenium Nucleus of Applied Control and Inverse Problems, working with Eduardo Cerpa, Leo Medina, Matias Courdurier, and Esteban Paduro. (July 2022 - August 2023).
Student visitor at Grill Lab, Duke University, supervised by Warren M Grill. (April 2023).
Student intern at POEMS-INRIA team, supervised by Luiz Faria. (February - May 2022).
Undergraduate research assistant at PUC, supervised by Clémentine Béchet. (March - July 2018).
Davenport prize in Pure Mathematics. UCL, 2025
LMS Early Career Research Travel Grant. London Mathematical Society, 2024
Research studenship. Department of Mathematics, UCL, 2023-2027
Research Exchange Award. School of Engineering at PUC, 2022
The Bridge Exchange Program INRIA - PUC, 2022
Strauszer-Caussade T, Boundary Integral equations methods for electromagnetic scattering by periodic arrays. Master of Science in Engineering thesis. Pontificia Universidad Católica de Chile, January 2023.