Christian A. Fonseca-Mora
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.
Currently I am a member of CIMM, Centro de Investigaciones Matemáticas y Meta-Matemáticas.
Current Grants, as Principal Investigator: Ecuaciones diferenciales estocásticas en derivadas parciales en espacios de dimensión infinita.
(i) Stochastic analysis driven by processes with jumps, particularly Lévy processes.
(ii) Probability measures on infinite dimensional spaces: locally convex spaces; particularly Hilbert spaces, Banach spaces and duals of nuclear spaces.
(iii) Functional Analysis.
C. A. Fonseca-Mora, Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space, J Theor Probab (2016). (Online first) Doi:10.1007/s10959-016-0726-0
C. A. Fonseca-Mora, Stochastic Analysis with Lévy Noise in the Dual of a Nuclear Space, PhD Thesis, The University of Sheffield (2015). Supervisor: David Applebaum.
C. A. Fonseca-Mora, Lévy Processes and Infinitely Divisible Measures in the Dual of a Nuclear Space (2017), arXiv:1701.06630, submitted for publication.
C. A. Fonseca-Mora, Stochastic Integration and Stochastic PDEs Driven by Jumps on the Dual of a Nuclear Space (2017), arXiv:1706.01363, submitted for publication.
5. Teaching (in Spanish)