Horarios Dpto. Aplicada I-2020
I did my undergraduate studies at the University of Costa Rica obtaining degrees in economics and in mathematics, and nearly finishing my studies in actuarial sciences (which I finished in early 2019). In March 2011, I started to work for the School of Mathematics as an Interim Professor until July 2012. I moved to Sheffield (United Kingdom) from September 2012 to November 2015 to carry out a PhD in Probability under the supervision of David B. Applebaum. I returned to the School of Mathematics of the University of Costa Rica in January 2016 as an Invited Professor. Since August 2019 I hold a permanent position.
PhD in Probability and Statistics, The University of Sheffield (2015).
BSc. in Mathematics, University of Costa Rica (2012).
Licenciatura* in Economics, University of Costa Rica (2010).
BSc. in Economics, University of Costa Rica (2009).
*A Licenciatura degree in Costa Rica is similar to a MSc in most countries.
BSc. in Actuarial Sciences, University of Costa Rica (2019).
Currently I am a member of CIMPA (Centro de Investigación en Matemática Pura y Aplicada).
Current Grants, as Principal Investigator:
I am interested in fields related to interactions between probability and functional analysis. My current research focuses on the study of probability theory and stochastic analysis driven by cylindrical and classical Lévy processes and semimartingales in locally convex spaces, with particular attention to Hilbert spaces, Banach spaces and duals of nuclear spaces.
Alvarado-Solano, A. E., Fonseca-Mora, C. A.: Cylindrical martingale-valued measures, stochastic integration and stochastic PDEs in Hilbert space, arXiv:2001.09080.
Fonseca-Mora, C. A.: Regularization of cylindrical processes in locally convex Spaces, arXiv: 1905.11223.
Stoch PDE: Anal Comp
Stoch PDE: Anal Comp
https://doi.org/10.1007/s40072-018-0117-x 4. Preprints
Fonseca-Mora, C. A., Semimartingales on Duals of Nuclear Spaces, arXiv: 1902.03981.
Fonseca-Mora, C. A., Tightness and Weak Convergence of Probabilities on the Skorokhod Space on the Dual of a Nuclear Space and Applications, to appear in Studia Mathematica, arXiv: 1806.10231.
Fonseca-Mora, C. A., Stochastic Analysis with Lévy Noise in the Dual of a Nuclear Space, PhD Thesis, The University of Sheffield (2015). Supervisor: David Applebaum.
Fonseca-Mora, C. A., Valoración Económica del Volcán Arenal: Una Medición del Valor de su Belleza Escénica Mediante el Método de Valoración Contingente, Licenciatura Thesis, Universidad de Costa Rica (2010).Supervisor: Ronulfo Jiménez Rodríguez.
Click here for the list of my citations in Google Scholar.
Selected Given Talks
Teaching (in Spanish)
CA-0406 Procesos estocásticos y series temporales
MA-0150 Principios de Matemática (2012).
MA-0250 Cálculo en una variable I (2016,2017,2018).
MA-0720 Probabilidades I (2018)
MA-0840 Probabilidad (2017).
CA-0406 Procesos estocásticos y series temporales (2016,2019). MA-1003 Cálculo III.(2012,2016,2017,2018,2019).
MA-1004 Álgebra Lineal (2011,2012).
MA-1210 Cálculo I (2011).