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How Barcelona looks like today:
Welcome!
I hope you find in this website what you were looking for.
Research
Published or unpublished papers.- Computing quotients of the Bruhat-Tits tree for GL2(Qp) by quaternionic groups (with C. Franc). Submitted. arXiv.org
- Computation of ATR Darmon points on non-geometrically modular elliptic curves (with X.Guitart). Submitted. arXiv.org
- Continued fractions in 2-stage euclidean quadratic fields (with X. Guitart). To appear in: Mathematics of Computation. arXiv.org
- CM cycles on Shimura curves, and p-adic L-functions. To appear in: Compositio Mathematica.arXiv.org
- Bezout domains and elliptic curves. Comm. Algebra 36 (2008), no. 12, 4492-4499 (with I. Goldbring) PDF, MathSciNet
- A note on dihedral polynomials of prime degree. Indian J. Pure Appl. Math. 36 (2005), no. 6, 295-300. (with J.-C. Lario) PDF, MathSciNet
Bio
If you are interested in the path that has brought me from Sant Pere de Riudebitlles (1981) to New York (2010), here you will find some clues.
Writings
Here I collect some writings that may be useful to other people, and which are not classified as notes from courses that I have taken.Code
- Here there is some Sage code to compute with quotients of the Bruhat-Tits tree of GL2(Qp). Credit is due to Cameron Franc and myself. You can get it as a script here. Just load the file and enjoy! If you want more guidance, either ask me or look at this worksheet tutorial.
- A set of sage scripts used to verify numerically certain conjectures of Darmon on ATR points. This is joint work with Xavier Guitart. You can find the files here.
Notes and TeXing projects
Here you can find notes for most of the courses I have taken.
Resume
You can get a copy of my resume here. (PDF).
Bibliography
Here I there is my .bib bibliography file, which I manage with emacs' 'ebib' package.
You might find a copy of it in my CiteULike page.
