Education
Ph.D. in Applied Sciences with mention in Mathematical Engineer. University of Concepción, October 14, 2015. Concepción, Chile.
Ph.D. Thesis: “Second Order Asymptotic Analysis in Optimization”.
Advisors: Fabián Flores-Bazán, University of Concepción, Concepción, Chile. Nicolas Hadjisavvas, University of the Aegean, Syros, Greece.
Mathematical Engineer, University of Concepción, October 27, 2010. Concepción, Chile.
Thesis: “Efficiency in Nonconvex Multiobjective Optimization”.
Advisor: Fabián Flores-Bazán, University of Concepción, Concepción, Chile.
PUBLICATIONS
Research Projects
6-. ANID–Chile through Fondecyt Regular 1241040: “A further study on quasiconvex functions with applications in continuous optimization and variational inequalities”. From April 2024 until March 2027.
5-. Anid-Chile through Fondecyt Regular 1220379; «Further developments on quasiconvex functions with applications in continuous optimization and equilibrium problems». From April 2022 until March 2024.
4-.INCTMat through CAPES (Brazilian research project in collaboration with Alfredo Iusem): “Proximal Point Algorithms for Classes of Nonconvex Functions”. From August 2020 to July 2022.
3-.UTA Mayor 4749-20 de 2020 (Universidad de Tarapacá internal Research Project): “Derivadas direccionales globales en optimización continua no suave y desigualdades variacionales”. From August 2020 to July 2022.
2-. CONICYT–CHILE through Fondecyt Iniciación 11180320: “Further developments in asymptotic analysis under generalized convexity assumptions with applications in continuous optimization and variational inequalities”. From November 2018 until October 2021.
1-. CONICYT–CHILE through Fondecyt Postdoctorado 3160205: “Asymptotic analysis under generalized convexity assumptions with applications in optimization and nonlinear analysis”. From November 2015 to October 2018.
Conferences and Talks
32-. Seminário da Escola de Matemática Aplicada, Fundação Getúlio Vargas EMAp/FGV. «An overview on strongly quasiconvex functions with applications». August 18 of 2022, Rio de Janeiro, Brazil.
31-. Capricorn Mathematics Congress (COMCA).“Algoritmos de punto proximal para problemas de equilibrio pseudomónotonos casiconvexos”, August 03-05 of 2022, Iquique, Chile.
30-. Webinário Programa de Pós-Graduação em Matemática, Universidade Federal de Amazonas (PPGM-UFAM): “On strongly quasiconvex functions: existence results and proximal point algorithms”. March 30 of 2022, Manaus, Brazil.
29-. Optimization Seminars: «On strongly quasiconvex functions: theory and applications». October 06 of 2021, Santiago, Chile (online Seminar).
28-. Jornadas Matemáticas de la Zona Sur: «On strongly quasiconvex functions: existence results and proximal point algorithms». April 24 of 2021, Temuco, Chile. (Online Conference).
27-. I Congreso Internacional de Matemáticas: «An study of nonconvex optimization problems via global derivatives». December 11 of 2020, Arequipa, Perú. (Online Conference).
26-. Nonsmooth Optimization and Its Applications: “Global Directional Derivatives with Applications to Generalized Convexity and Generalized Monotonicity”. September 17 of 2020. Urmía, Irán. (Online Conference).
25-. Coloquio del Departamento de Matemática: “Characterizations of nonconvex optimization problems and variational inequalities via global derivatives”. August 27 of 2020, Arica, Chile.
24-. ISORA: 14th International Seminar on Optimization and Related Areas. “Optimality conditions for nonconvex optimization problems via global derivatives”. October 07-11 of 2019, Lima, Perú.
23-. XIII Brazilian Workshop on Continuous Optimization. “Global directional derivatives for nonconvex optimization problems”. September 23-27 of 2019, Rio de Janeiro, Brazil.
22-. 6th International Conference on Continuous Optimization (ICCOPT). “Existence results for equilibrium problems and mixed variational inequalities”. August 05-08 of 2019, Berlin, Germany.
21-. 71st Workshop: Advances in Nonsmooth Analysis and Optimization. “Optimality conditions for nonconvex optimization via global derivatives”. June 24 to July 01, Erice, Italy.
20-.Colloquium de Optimição: “Análise assintótica para problemas de optimização quase-convexos”. August 23 of 2018. University of São Paulo, São Paulo, Brazil.
19-. XII Brazilian Workshop on Continuous Optimization. “A new quasiconvex asymptotic function with applications in Optimization”, July 23-27 of 2018, Foz de Iguazu, Brazil.
18-. Colloquium & International Conference on Variational Analysis and Nonsmooth Optimization. “Optimality conditions for vector equilibrium problems with applications”, From June 28 to July 01 of 2018, Halle, Germany.
17-. Workshop on Nonlinear Analysis and its Applications; “An overview on quasiconvex asymptotic analysis: theory and applications”. June 23 of 2018, Institute of Physics and Mathematics, University of Isfahan, Isfahan, Iran.
16-. NAOP 2018: Fourth Conference in Nonlinear Analysis and Optimization. “A quasiconvex asymptotic function with applications in optimization”, June 19-22 of 2018, Zanjan, Iran.
15-. Seminario PRPPG (Parana Programa de PosGraduação) em Matematica; “Asymptotic analysis with applications in quasiconvex optimization”, March 23 of 2018, Universidade Federal do Parana, Coritiba, Brazil.
14-. ISORA: 13th International Seminar on Optimization and Related Areas. “Optimality conditions for pseudomonotone equilibrium problems”. October 09-13 of 2017, Lima, Perú.
13-. XI International Conference on Parametric Optimization and Related Topics. “Quadratic fractional programming under asymptotic analysis”, September 19-22 of 2017, Prague, Czech Republic.
12-. XII International Symposium on Generalized Convexity and Monotonicity. “Asymptotic analysis for quasiconvex functions with applications”. August 27 to September 02 of 2017, Hajdúszoboszló, Hungary.
11-. “A new second order asymptotic function and applications to quadratic programming”, December 14 of 2016, King Fahd University of Petroleum and Minerals, Dhahran, Kingdom of Saudi Arabia.
10-. NewTOVAA: New Trends in Optimization and Variational Analysis for Applications. “Asymptotic function for generalized monotone operators”. December 07-10 of 2016, Quy Nhon, Vietnam.
9-. 28th EURO 2016: European Conference on Operation Research. “Generalized asymptotic functions and applications in multiobjective optimization”, July 03-06 of 2016, Poznan, Poland.
8-. EUROPT 2016: Workshop on Advances in Continuous Optimization. “The q-asymptotic function in generalized convexity theory”. July 01-02 of 2016, Warsaw, Poland.
7-. XI Brazilian Workshop on Continuous Optimization. “Generalized asymptotic functions in generalized convexity theory”. May 22-27 of 2016, Manaus, Brazil.
6-. Seminarios do IMPA, Optimicao; “Generalized asymptotic functions and their connections with generalized convexity theory”, February 18 of 2016, Instituto Nacional do Matematica Pura e Aplicada, IMPA, Rio de Janeiro, Brazil.
5-. ISORA: 12th International Seminar on Optimization and Related Areas. “Asymptotic analysis for quasiconvex functions”. October 05-09 of 2015, Lima, Perú.
4-. Optimization and Equilibrium, Seminars; “Second order asymptotic analysis; theory and applications”, September 10 of 2014, Center for Mathematical Modeling CMM, University of Chile, Santiago, Chile.
3-. Workshop in Optimization; “Second order asymptotic analysis in the convex case”, November 29 of 2013, Departamento de Ingeniería Matemática, University of Concepción, Concepción, Chile.
2-. Capricorn Mathematics Congress (COMCA).“Asymptotical approach for solution sets in non-convex vector optimization”, August 04-06 of 2010, Arica, Chile.
1-. ICCOPT: International Conference on Continuous Optimization. “Efficiency, proper efficiency and weak efficiency in multi-objective optimization”, July 26-29 of 2010, Santiago, Chile.
Teaching
5-. Nonsmooth Analysis II-2021 (Master degree course).
4-. Convex Analysis I-2021 (Master degree course).
3-. Topics in Optimizations and Calculus of Variations. II-2020.
2-. Algebraic Structures. I-2020.
1-. Linear Algebra: II-2019.