Hi! My name is Pedro and I am a fourth year PhD student in Number Theory working under the supervision of Samir Siksek. My research is focused on the areas of Galois representations and modular curves. I am currently studying rational points on symmetric powers of modular curves, having as one of the primary motivations for doing so the possible applications of such work to the study of isogenies of elliptic curves over number fields of high degree.
Email: lastname dot pj at gmail.com
- Serre's Uniformity Conjecture for Elliptic Curves with Rational Cyclic Isogenies. arXiv link (to appear in the Transactions of the American Mathematical Society)
- (joint with Anni and Siksek) Residual Representations of Semistable Principally Polarized Abelian Varieties. Research in Number Theory (2016) 2:1 link to article