Mathematical Institute

University of Oxford

Andrew Wiles Building

Radcliffe Observatory Quarter (550)

Woodstock Road

Oxford, OX2 6GG

Email : tiago.jardimdafonseca **at** maths.ox.ac.uk

Office : N2.04

### Research

I'm a maths postdoc in the group of Francis Brown at the Mathematical Institute (Oxford). Previously, I did a PhD thesis under the supervision of Jean-Benoît Bost at Université Paris-Sud (Orsay), and I spent a short period at the Max-Planck-Institut für Mathematik (Bonn).

My research area is Arithmetic Geometry. Keywords: periods, modular forms, abelian varieties, moduli spaces, differential equations, algebraic foliations, transcendence, algebraic independence.

#### Publications

#### Preprints

*Higher Ramanujan equations and periods of abelian varieties*. [arXiv:1807.11044] (Submitted)
*A geometric introduction to transcendence questions on values of modular forms*. [Draft] (In preparation) Appendix for the upcoming monograph *Modular and Automorphic Forms & beyond: A tale of love and madness* by Hossein Movasati.
*On coefficients of Poincare series and single-valued periods of modular forms*. [Preprint]

Please, note: the arXiv preprints

*Higher Ramanujan equations I and II* (arXiv:1612.05081 and arXiv:1703.02954) are outdated; the content of these papers was unified, improved and completed in the above

*Higher Ramanujan equations and periods of abelian varieties* (arXiv:1807.11044).

#### Other mathematical texts

### Teaching (2019-2020)

This year I'm teaching at

Hertford College.

### Links