Theory and Applications of Boundary Integral Methods; Uncertainty Quantification; Wave scattering in complex, random and unbounded media; Preconditioning and iterative methods; Partial Differential Equations; Maxwell Equations

Lecturer of undergraduate courses for Electrical Engineering (Introduction to Electrical Engineering, Circuit Analysis, Computational Electromagnetics), Mathematical Engineering (Introduction to Mathematical Engineering, Applied Functional Analysis and Partial Differential Equations) and Mathematics (Scientific Computing I)

Postdoctoral
2. Simon Tournier, Postdoctoral scholarship CONICYT, Mar 2015–Oct 2016.
1. Nicole Spillane,cPostdoctoral funding by PUC School of Engineering, Mar 2014 – Aug 2014.

Doctoral Supervision
1. José Pinto, Spectral Methods for Boundary Integral Equations in Complex Media, Doctoral scholarship CONICYT, Mar 2017–Dec 2020.
2. Paul Escapil-Inchauspé, Métodos de precondicionamiento de alto desempeño y análisis perturbativo con aplicaciones a problemas de propagación de ondas, Doctoral funding given by PUC School of Engineering, Mar 2017–Dec 2020.
3. Ruben Aylwin, Robust Shape Optimization under uncertainty for Maxwell Equations with applications to lossy cavities and periodic structures, Doctoral scholarship CONICYT, Aug 2016–Dec 2020
4. Isabel Martínez, Aplicación de ecuaciones integrales de frontera y homogeneización para la simulación numérica de tejidos vivos, Doctoral scholarship CONICYT, Aug 2016–Dec 2020
5. Gerardo Silva, Thermophotovoltaic cells design improvements through numerical simulations: uncertainty quantifica- tion and geometry optimization, Doctoral scholarship CONICYT, Apr 2014–Dec 2018

Master Thesis Supervision
9. Ignacio Labarca, Convolution quadrature methods for time-domain acoustic wave propagation in layered media and composite materials, Mar 2017 – Oct 2019.
8. Ignacia Fierro, Fast Calderón Preconditioning for Helmholtz Boundary Integral Equations, Aug 2016 – Apr 2019.
7. Diego Cruzat, Electrostatic Fog Water Collection, Mar 2017 – May 2018.
6. Consuelo Fuenzalida, Uncertainty Quantification for Multigroup Neutron Diffusion Equations using Sparse Tensor approximations, Mar 2017 – Apr 2018.
5. Paul Escapil-Inchauspé, Computational Framework for Operator Tensorization, Aug 2015 – Jun 2016.
4. Jose ? Pinto, Spectral Elements Discretization for the Multiple Traces Formulation, Aug 2013 – Jun 2015.
3. Fernando Henríquez, Computational Modeling of Peripheral Nerve Stimulation, Aug 2012 – Dec 2014.
2. Carolina Urzúa, Screen and Fracture Problem Operator Preconditioning, Aug 2012 – Jan 2014.
1. Orane Jecker, Tracking of raindrops by means of radars, co-supervision with R.Hiptmair, ETH Zurich, Mar 2011–Sep 2011.

Undergraduate Research
1.Rodrigo Arrieta, Epsilon-near-zero materials for thermo-photovoltaic cells, I-2018 16.
2. GonzaloMoraga, Thermo-photovoltaic cell modeling and design, I-2018
3. Isabel Martínez, Spectral 3D basis for Multiple Traces Formulation, II-2015.
4. Esteban Villalobos, BEM++ implementation, II-2015.
5. Rubén Aylwin, Shape optimization for Maxwell problems, II-2015.
6. Cristóbal Cortínez, Spectral approximation for Multiple Traces Formulation over disjoint objects, I-2015.
7. Consuelo Fuenzalida, Mathematical Modeling of Chronic Pain, I-2015
8. Juan Bozzo, Computational Comparative Analysis of Needles used in Peripheral Regional Anesthesia, I-2014.
9. Felipe Palma, Needle simulation of Peripheral Regional Anesthesia, I-2013.
10. José Pinto, Numerical Analysis of curved Boundary Elements, II-2012.
11. Camilo Aburto, Finite Elements for Stochastic Problems, II-2012.
12. Carlos Maldonado, Computational Implementation of Multiple Traces Formulation, II-2012.
13. Paul Guiloff, Automatic Control Simulation for Car movements, I-2012.
14. Carolina Urzúa, Computational Implementation of integral operators for screen problems, I-2011.
15. Michael Steinlechner (B.Sc.) A boundary element method for solving PDE eigenvalue, co-supervision with D. Kressner, ETH Zu ?rich, Sep 2010 - Jan 2011.