March 27, 2009: Phd in Mathematics , University of Barcelona, Spain.

Thesis title: "Beyond Brownian motion: topics on stochastic calculus for

fractional Brownian motion and Lévy markets". Qualitative final grade:

"Excel.lent cum laude" (Excellent "cum laude" - the highest mark possible).

Advisors: David Nualart and José Manuel Corcuera.

September 25, 2003: DEA ("Diploma de Estudios avanzados") in

Mathematics , University of Barcelona, Spain. Qualitative final grade:

Excellent.

Tesis titles: "The 1/H variation of the divergence integral with respect to fractional Brownian motion for H>1/2 and fractional Bessel processes" e "Malliavin Calculus and applications to the Besov norm of Brownian motion". Supervisors : David Nualart e Marta Sanz. Scientific domain : stochastic analysis.

MSc. in Applied Mathematics, University of Évora, Portugal.

Qualitative final grade: very good.

Thesis title: "Conformal field theory and the one-dimensional Hubbard model".

Advisors: José Carmelo and José Manuel Gonçalves Ribeiro.

Scientific domain: Mathematical physics.

1991-1996: Engineering Physics (5-year graduation program) , "Instituto

Superior Técnico", Technical University of Lisbon, Portugal.

Grade point average: 17 over 20 (qualitative grade: very good).

Thesis title: "Bifurcation theory applied to the Stability of motion of an

underwater autonomous vehicle".

Advisors: António Pascoal and Carlos Rocha

Scientific domains: Dynamical systems and control theory.