Research
Preprints:
Maxitive functions with respect to general orders. (With M. Kupper) [Arxiv]
Maxitive monetary risk measures on subsets of L0: worst-case risk assessment and sharp large deviations [Arxiv]
Papers accepted in peer-reviewed Journals:
Duality and stable compactness in Orlicz-type modules, (with J. Orihuela) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118(18) (2024). DOI: 10.1007/s13398-023-01516-5 [Journal][Arxiv]
Weakly maxitive set functions and their possibility distributions, (With M. Kupper) Fuzzy Sets and Systems 467(2023) 108506. DOI: 10.1016/j.fss.2023.03.009 [Journal][Arxiv]
Representation of weakly maxitive monetary risk measures and their rate functions, Journal of Mathematical Analysis and Applications 524 (2023) 127072. DOI:10.1016/j.jmaa.2023.127072 [Journal ][Arxiv]
Large deviations built on max-stability, (With M. Kupper) Bernoulli 27(2) (2021) 1001-1027. DOI:10.3150/20-BEJ1263 [Journal][pdf]
Parameter-dependent Stochastic Optimal Control in Finite Discrete Time, (with A. Jamneshan and M. Kupper) Journal of Optimization Theory and Applications 186 (2020) 644–666. DOI:10.1007/s10957-020-01711-z [Journal][Arxiv]
Boolean Valued Representation of Random Sets and Markov Kernels with Application to Large Deviations, (with A. Avilés) Mathematics 8(10) (2020). DOI:10.3390/math8101848 [Journal]
A Boolean valued analysis approach to conditional risk, Vladikavkaz Mathematical Journal 21(4) (2019) 71–89. DOI:10.23671/VNC.2019.21.44629 [Journal][mathnet.ru][pdf]
Boolean-valued models as a foundation for locally L0-convex analysis and Conditional set theory, (with A. Avilés) Journal of Applied Logics 5(1) (2018) 389-420 [Journal][pdf]
Randomized Versions of Mazur Lemma and Krein-Šmulian Theorem, Journal of Convex Analysis 25(3) (2018) 939-956 [Journal][pdf]
Stability in locally L0-convex modules and a conditional version of James' compactness theorem, (with J. Orihuela) Journal of Mathematical Analysis and Applications 452(2) (2017) 1101-1127. DOI:10.1016/j.jmaa.2017.03.048 [Journal][pdf]
On the Characterization of Locally L0-Convex Topologies Induced by a Family of L0-Seminorms, Journal of Convex Analysis 24(2) (2017) 383–391 [Journal][pdf]
Versions of Eberlein-Šmulian and Amir-Lindenstrauss theorems in the framework of conditional sets, Applicable Analysis and Discrete Mathematics 10(2) (2016) 231–261. DOI: 10.2298/AADM160721016Z [Journal][pdf]
Working papers:
On compactness in L0-modules, (with A, Jamneshan) [Arxiv]
Thesis:
Presentations:
XVIII Encuentros de Análisis Funcional Granada-Murcia-Valencia. Murcia, Spain (Feb 2024).
XL Congreso Nacional de Estadística e Investigación Operativa (SEIO 2023). Elche, Spain (Nov 2023). [slides]
12th International Conference on Mathematical Methods in Reliability. Murcia, Spain (May 2023). [slides]
Workshop on Imprecise Probability and Robust Finance (ImPRooF). Cartagena, Spain (Sep 2022).
Seminar talk. University of Konstanz, Germany (Jul 2022).
XX Encuentros de análisis real y complejo. Cartagena, Spain (May 2022). [poster]
Round table. Congreso Bienal de la Real Sociedad Matemática Española. Ciudad Real, Spain (January 2022).
Seminar talk. UCD School of Mathematics and Statistics. Dublin, Ireland (March 2020). [slides]
XVII Encuentros Análisis Funcional Murcia-Valencia. Valencia, Spain (Jan 2020). [slides]
Seminar talk. University of Murcia. Murcia, Spain (Dec 2019) [slides]
Workshop in Stochastic Analysis: Mannheim meets Konstanz. Konstanz, Germany (Dec 2019).
Seminar talk. University of Konstanz, Germany (Nov 2019) [slides]
XVI Encuentros Análisis Funcional Valencia-Murcia. Murcia, Spain (Dec. 2018) [slides]
Innovative Research in Mathematical Finance. Marseille, France (Sep 2018) [slides]
Mathematical and Statistical Methods for Actuarial Sciences and Finance (MAF 2018). Madrid, Spain (Apr 2018). [poster]
Seminar talk. University of Konstanz, Germany (Feb 2017)
Jornadas de Doctorandos, Murcia, Spain (Sep 2016)
Seminar talk. Konstanz, Germany (Jun 2016) [slides]
Seminar talk, Murcia, Spain (Mar 2016) [slides]
Seminar talk, Vienna, Austria (2015)
Seminar talk, Murcia, Spain (2013)
Panel discussion. i-MATH Jornadas sobre Matemática de los Mercados Financieros, Murcia, Spain (Mar 2010).
Organization of scientific meetings and workshops:
Workshop on Imprecise Probability and Robust Finance (ImProoF), 2022, Cartagena, Spain. [web]
XVI Encuentros de Análisis Funcional, 2018, Murcia, Spain.
Publications about teaching and learning:
El Principio de Activación en el Pensamiento Computacional, las Matemáticas y el STEM, RED: Revista de Educación a Distancia 68(21) (2021) DOI: http://dx.doi.org/10.6018/red.498531