discrete mathematics, mathematical modeling, computer science, complex systems

Supervision of research and postdoctoral stays:

• Florian Bridoux. Linit cycles in Boolean networks with different update schedules. Postdoctoral stay. Funded by the French government. January-December, 2006.
• Mathilde Noual. On update schedules and dynamics of Boolean networks. Master 1 stay, Universite Claude Bernard Lyon 1, France. Funded by the French government. June-August, 2008.
• Loic Forest. Multiscale modeling of the ventral furrow formation in Drosophila Melanogaster. Postdoctoral stay. Funded by the French government. August-October, 2006.

Training of doctoral students:

• Luis Cabrera C. Study of the block-sequential operator on Boolean networks. Application to discrete network analysis. Ph. D. in Computer Science, University of Concepción. Co-advisors: Dra. Lilian Salinas A. (Universityof Concepcion) and Dr. Adrien Richard (Universite C^ote d'Azur, France). Ended in January, 2024.
• Katerin De la hoz. Synchronization in Boolean networks. Ph. D. in Computer Science. Universidad de Concepción. Co-advisors: Dra. Lilian Salinas A. In progress.
• Luis Gómez G. Update Schedules in Regulatory Networks. Ph. D. in Mathematical Engineering, Universidad de Concepción. Co-advisor: Dra. Lilian Salinas A., Universidad de Concepción. Ended in January, 2015.
• Marco Montalva M. Feedback set problems and dynamical behavior in regulatory networks. Ph. D. in Mathematical Engineering, Universidad de Concepción. Co-advisor: Dr. Jacques Demongeot, Universitseph Fourier, France. Ended in August, 2011.

Training of master students:
• Victor Cartes. Study of sign functions in Boolean networks. Master in Computer Sciences, University of Concepción. In progress.
• Nikolas Jara. Eden gardens in nite dynamical networks. Master in Computer Sciences, University of Concepció. Ended in Mars, 2026.
•  Arturo Zapata. Hamiltonian dynamics in Boolean networks. Master in Computer Sciences, University of Concepción. Ended in December, 2024.
• Catalina Opazo. Polarized and consensus xed points in Boolean networks. Master in Computer Sciences, University of Concepción. Ended in December, 2024.
• Raúll Astete. k-independent Boolean networks. Master in Computer Sciences, University of Concepción. Ended in July, 2024.
• Ignacio Osorio. VC-dimension in Boolean networks. Magister en Ciencias de la Computación. Co-advisor: Lilian Salinas. Universidad de Concepción. In progress.
• Eduardo Palma. Enumeración de esquemas bloque-secuenciales que satifacen restricciones locales. Magister en Ciencias de la Computación. Co-advisor: Lilian Salinas. Universidad de Concepción. Ended in March, 2015.
•. Bruno Karelovic. Estudio espacio temporal de patrones en el modelamiento discreto de la dinámica delictual. Magister en Ciencias de la Computación. Universidad de Concepción. Ended in August 2012.

Training of undergraduate students:

• Nicolás Baeza. Neural networks and dynamic graphs for predicting mesoscale eddy behavior. Mathematical Engineering, U. de Concepción.Ended in July 2026
• Felipe Villalobos. Study of structure-function coupling in the human connectome, through neural networks. Mathematical Engineering, U. de Concepción. Ended in January 2026.
• Ricardo Vega. Regulatory Boolean networks with a prescribed fixed points set. Mathematical Engineering, U. de Concepción. Ended in June, 2025.
• Nikolas Jara. Eden gardens in nite dynamical networks. Mathematical Engineering, U. de Concepción. Ended in June, 2025.
• Raúl Astete. k-Independent Boolean networks. Mathematical Engineering, U. de Concepción. Ended in Mars, 2024.
• Catalina Opazo. Polarized and consensus xed points in Boolean networks. Mathematical Engineering, U. de Concepción. Ended in Mars, 2024.
• Alvaro Guzman. Selection criteria to reduce the number of genomic similarity comparisons using sketches. Mathematical Engineering, U. de Concepción (Co-advisor: Dra. Cecilia Hernández, DIICC). Ended in October 2023.
• Víctor Cartes. Switch operator in Boolean networks. Mathematical Engineering, U. de Concepción. Ended January 2024 .
• Arturo Zapata. Long trajectories in Boolean networks. Mathematical Engineering, U. de Concepción. Ended in January 2022.
• Katerin De la Hoz. Fixed points in Boolean networks with intercyclic interaction graph. Mathematical Engineering, U. de Concepción. Ended in December 2020.
• Felipe Benítez. “Embedding signed digraphs in the circumference ”. Student of mathematical engineering, U. of Concepción. Co-advisor: Dr. Christopher Thraves. Ended in June 2017.
• Ricardo de la Paz. “Frozen nodes of fixed points in Boolean networks ”. Student of mathematical engineering, U. of Concepción. Ended in December 2015.
• Bruno Karelovick. Study of the structure of lexical availability graphs. Student of mathematical engineering, U. of Concepción. Co-advisor: Dra. AnahíGajardo. Ended in April 2010.
• Luis Gómez G. Robustness of limit cycles in Boolean networks. Student of mathematical engineering, U. of Concepción. Co-advisor: Dra. LilianSalinas. Ended in May 2009.
• Marco Montalva. Study of positive and negative feedback vertex set problems. Student of mathematical engineering, U. of Concepción. Co-advisor: Dra. AnahíGajardo. Ended in May 2006.
• David Moena. Crimes Spatio-temporal prediction in Metropolitan region with neural networks. Student of computation engineering, U. of Concepción. Ended in April 2006.
• Fabiola Lobos.System of predicting future gas consumption for GasSur Company. Student of mathematical engineering, U. of Concepción. Co-advisor: Dra. Carlos Pérez. Ended in May 2006.

Transfer activities:

Project Fondef D03I1025, Conicyt. Crime prediction model for the Metropolitan region. In collaboration with Chilean Police Academy. Director of the modeling team. 2005-2008.
Design of the predictive crime software called OMINIS, Intellectual Property Registry no. 168260 in Dirección de Bibliotecas, Archivos y Museos, Chile, January 2, 2008.

International collaboration grants:

1. ANID-ECOS project cod. C19E02. Symbolic dynamical systems: a dialog between finite and infinite. Main researchers: Guillaume Theyssier (Université Aix-Marseille, France) and Julio Aracena (Universidad de Concepción, Chile). 2020-2022.
2. Project PICS-CNRS, Francia. Points fixes et cycles de rétroaction dans les réseaux Booléens (BooleanNet). Main researchers: Adrien Richard (Universitée de Nice, Sophia Antipolis, France) and Julio Aracena (Universidad de Concepción, Chile). 2015-2017.
3. Morphex project. Multidisciplinary project in Mathematics, Information and Biology l. EU-CNRS, France, Germany, Norway, Sweden and Chile. Associate Researcher. 2007-2009.
4. IPECA Multidisciplinary project, ALFA program, France. Associate Researcher. 2005-2008.
5. INRIA-CONICYT cooperation project. Associate Researcher. 2003.
6. CNRS post-doc project. Fondation pour la Recherche Médicale, France. Main Researcher. 2002-2003.

Other relevant academic antecedents:

1. Reviewer for the following intitutions: Comisión Nacional de Investigación
Científica y Tecnológica, Conicyt-Fondecyt Chile; BBSRC SysBio, United
Kingdom; ANR program SYSCOMM, France.
2. Referee of the following ISI journals: Automatica, Biosystems, Bulletin
of Mathematical Biology, Discrete Applied Mathematics, Discrete Mathematics,
Electronic Journal of Combinatorics, IEEE/ACM Transactions
on Computational Biology and Bioinformatics, IEEE Transaction on Neural
Networks, IEEE Transactions on Signal Processing, Information Processing
Letters, Journal of Theoretical Biology, Mathematical Biosciences,
Natural Computing, Theoretical Computer Science, Journal of Computer and System Sciences,
Bioinformatics.
3. Reading Committee Membership of special number: Automates cellulaires
et réseaux d'automates: le rôle central de l'irrégularité", revue Technique
et Science Informatiques. April 2015.
4. President of Academic Evaluation Committee, Facultad Ciencias Físicas
y Matemáticas, Universidad de Concepción, 2017-2018.