University of Leiden
Number Theory group
My website in Paris 7(out of date) Office 233, Niels Bohrweg 1
2333 - CA Leiden
The Netherlands

Mathematical Education

I did my undergraduate studies in Mathematics at the Federal University of Rio de Janeiro (UFRJ), my master in Pure Mathematics at IMPA and my PhD at the University of Paris 7. I have spent the academic year 2008/2009 as an ATER (teaching and research assistant) at the University of Paris 7. During the years 2009/2011 I was a Post Doc at the University of Leiden. I am spending the academic year of 2011/2012 at the Max Planck Institute (Bonn) financed by the Hendrik Casimir prize (KNAW). From August 2012, I will be working at UFRJ (Rio de Janeiro).

Curriculum Vitae

CV.pdf

Research

I study Number Theory. Currently my main interest concerns the applications of Algebraic Geometry to Diophantine problems. The topic of my doctoral dissertation, under the supervision of Marc Hindry, was elliptic curves over function fields. More precisely, I have treated the problem of comparing the generic rank of an elliptic surface with that of its fibers. I am now working on questions related to Zariski density of rational points on del Pezzo surfaces of degree one (jointly with Ronald van Luijk) and also on the description of elliptic fibrations on K3 surfaces.

Research articles

1. Rank of elliptic surfaces and base change ( Compte Rendus Acad. Sci. - Mathématiques 347 (2009)) (extended version)pdf
C.R.A.S version

2. On the rank of the fibers of elliptic K3 surfaces (Bulletin Brazilian Math. Soc. 42(4), 1-10, 2011) pdf

3. Construction of cubic pencils with Mordell- Weil rank five (Comment. Math. Univ. Sancti Pauli 58, No. 2, 2009 )

4. PhD Thesis pdf (if you have problems opening any of the above files you can send me an email and I'll be glad to send you a copy)

5. On the rank of the fibres of rational elliptic surfaces (accepted for publication at Algebra and Number Theory)

6. Base points of cubic pencils, k-minimal models and bad fibres of rational elliptic surfaces pdf

Workshops (organized)

Arithmetic aspects of elliptic surfaces March 11th and 12th, 2010 at HIM- Bonn (with Matthias Schuett).
Arithmetic of surfaces from Oct. 25th to Oct. 29th, 2010 at the Lorentz centre- Leiden (with Ronald van Luijk)

Upcoming Talks

03/02/2012: Workshop on Algebraic Surfaces- Hannover
14/03/2012: Number Theory lunch seminar Max Planck Institute- Bonn