- Mathematical modeling and numerical simulation of biological systems (tumor growth, tumor angiogenesis, cancer drug resistance, biofilm growth). - Paramater estimation for mathematical models based on ODE - Numerical resolution of PDE

2009-2010: Undergraduate thesis "Modelamiento matemático de la evolución de tumores, acoplado con angiogénesis tumoral y su uso en la investigación de nuevas estrategias de tratamiento del cáncer".
Student: Cristóbal Quiñinao,
To obtain the professional title: ingeniero civil matemático,
Universidad de Chile.
Under co-direction with professor Carlos Conca.

2010: Undergraduate thesis "Estudio numérico de sistemas de ecuaciones no lineales clásicos y difusos".
Student: José Ramírez,
To obtain the professional title: profesor en educación matemática,
Universidad del Bío-Bío.
Under co-direction with professor Marko Rojas.

2010: Undergraduate thesis "El método del conjunto de nivel aplicado al cálculo de discontinuidades en leyes de conservación escalares".
Student: Rodrigo Quezada,
To obtain the professional title: profesor en educación matemática,
Universidad del Bío-Bío.
Under co-direction with professor Aníbal Coronel.

2015: Undergraduate thesis "Modelamiento y Simulación de la Resistencia Tumoral a las Drogas: El Caso de
las Metástasis de Tumores del Estroma Gastroinstestinal Hepático (GIST)".
Student: Marco Inostroza,
To obtain the professional title: profesor en educación matemática,
Universidad del Bío-Bío.

From year 2006 until the present I have taught several undergraduate courses: biostatistics, calculus in one variable, calculus in several variables, ordinary differential equations, numerical methods, mathematical modeling of biological systems, mathematical modeling and computational simulation (for mathematical engineering at Universidad de Santiago de Chile). It is worth noting the graduate courses that I have taught: real analysis, numerical analysis for the fluid dynamics equations among others.

From year 1996 to 2005 I have taught several tutorial courses suchs as numerical methods, statistics.