Probability and stochastic Processes with applications in Physics and Biology. Statistics and machine learning with applications in signal processing, remote sensing and mining

Postdoctoral:
1. 2019-2021 Antoine Brault, Fondecyt Postdoctoral Project 3200116
2. 2019-2029 Hagop Tossounian, Fondecyt Postdoctoral Project 3200130
3. 2017-2019 Claire Delplancke, CMM Postdoctoral Project
4. 2015-2017 Nga Nguyen. Fondecyt Postdoctoral Project 3160286.
5. 2009-2011 Jean Francois Jabir. Fondecyt Postdoctoral Project 3100132
6. 2006-2007 Javiera Barrera. Postdoc at CMM. Funded by Millenium Nucleus Information and Randomness.

Ph.D. Thesis advised:
1. 2009-2012. Alejandra Christen, Ph. D. in Mathematical Modeling, Department of Mathematical Engineering, University of Chile. Thesis title: \On long-time behavior
of piecewise deterministic Markov processes". Associated Professor since 2012 at Department of Statistics, Pontifical Catholic University of Valparaiso.
2. 2010-2014. Maria Clara Fittipaldi, Ph. D. in Mathematical Modeling, Department of Mathematical Engineering, University of Chile. Thesis title: \SDE and genealogic
representations of some continuos state population processes ". Postdoctoral Position in U. Buenos Aires (2015-2016) and UNAM (2017-2018).
3. 2013-2015. Roberto Corteez. Ph. D. in Mathematical Modeling, Department of Mathematical Engineering, University of Chile. Thesis title: Propagation of chaos
for pure jump particle systems. Postdoctoral Position in U. Valparaiso, 2016-2018. Aranda Ordaz Price to the Best Ph.D. Thesis in Probability Theory awarded by
SLAPEM (Latin-american chapter of the Bernoulli Society).
4. 2013-2016 . Hector Olivero. Ph. D. in Mathematical Modeling, Department of Mathematical Engineering, University of Chile. In co-direction with Mireille Bossy
(INRIA). Thesis title: \Strong convergence of a Milstein Scheme for a CEV-like SDE and some contributions to the analysis of the stochastic Morris Lecar neuron model.
5. 2017-2020 Gonzalo Ríos. Ph. D. in Mathematical Modeling, Department of Mathematical Engineering, University of Chile. In co-direction with Felipe Tobar
6. 2018-2021 Felipe Muñoz. Ph. D. in Mathematical Modeling, Department of Mathematical Engineering, University of Chile. In co-direction with Vincent Bansaye (Ecole Polytechnique)

Master Level Engineering Thesis advised:
1. Leonardo Sepulveda \Entropy dissipation for hypoelliptic diffusion processes. a pathwise point of view". August 2013
2. Nikolas Tapia Long time behavior of some AIMD processes". December 2013.
3. Victor Riquelme, Stochastic models of bioreactors and some associated stochastic control problems". Co-advised with Hector Ramirez (University of Chile). Finished
April 2012.
4. Ernesto Araya, Mathematical models and numerical implementation of pricing methods for callable bonds ". Finished December 2011.
5. Hector Olivero, Estimation of financial risk measures: an approach based on the concentration phenomenon for empirical functionals". Mathematical Engineering thesis,
University of Chile, January 2011.
6. Julio Backhoff, Robust portfolio optimization in continuous-time financial markets under model uncertainty of non-compact or linear type". Mathematical Engineering
thesis, University of Chile, January 2011.
7. Mauricio Duarte, Large deviations for stochastic interacting particle systems". Mathematical engineering thesis, University of Chile, September 2007.
8. Francisco Silva, Uniform fragmentation processes". Mathematical Engineering thesis, University of Chile, September 2007.
9. Felipe Celery, Study of a Markov jump process in cellular biology ". Mathematical Engineering thesis, University of Chile, November 2007.

Undergraduate Thesis advised:
1. Mara Clara Fittipaldi, Poisson point processes and applications", University of Salta, Argentina, September 2008.

2016-2017. Leading researcher of "Construction of P-wave velocity models in El Teniente underground mine using passive seismic data". Joint R&D project between Center for Mathematical Modeling and El Teniente mine division of Corporación del Cobre CODELCO-Chile)
2016-2017. Leading researcher of "Statistical analysis of seismic data for the evaluation of hydraulic fracturing effects in División El Teniente Codelco". Joint R&D project between Center for Mathematical Modeling and El Teniente mine division of Corporación del Cobre CODELCO-Chile)
2014-2016. Leading researcher of \ Design and implementation of algorithms for detecting episodes of strain-softening in micro seismic series of El Teniente mine" . Joint R&D project between Center for Mathematical Modeling and El Teniente mine division of Corporacion del Cobre CODELCO-Chile)
2010-2014. Leading researcher of \Mathematical methods for advanced analysis of micro-seismic data in underground mining" . Joint R&D project between Center for Mathematical
Modeling and El Teniente mine division of Corporacion del Cobre CODELCO-Chile)
2007-2010. Leading researcher of Geomechanical monitoring of underground blockcaving mining through BOTDR (Brioullin Optical Time Domain Reflectometry) data modellng and analysis ". Joint R&D project between Center for Mathematical Modeling and MICOMO S.A.