I am a Hedrick Assistant Adjunct Professor in the Department of Mathematics at UCLA.
Starting in September 2016 I will be an Associate Research Scholar (non tenure-track) at Princeton University.
Email: castella at math dot ucla dot edu
Office: Math Science 6939
My CV as of July 2016.
Research Interests: p-adic L-functions, Euler systems, and their variation in p-adic families,
with a special emphasis on their applications to the arithmetic
of elliptic curves and modular forms.
Spring 2016 Math 132 |
Winter 2016 Math 132 |
Fall 2015 Math 33A |
Fall 2015 Math 132 |
Spring 2015 Math 117 |
Winter 2015 Math 31B |
Winter 2015 Math 110A |
Fall 2014 Math 207 |
Spring 2014 Math 33A |
Fall 2013 Math 31A |
Fall 2013 Math 115A |
Note: Preprints posted here may be more up to date than the arXiv versions.
| Lambda-adic Gross-Zagier formula for elliptic curves at supersingular primes. |
F. Castella and X. Wan | |
preprint. [pdf] | |
| A geometric perspective on p-adic properties of mock modular forms. |
L. Candelori and F. Castella | |
submitted. [pdf] | |
| p-adic heights of Heegner points and Beilinson-Flach elements. |
F. Castella | |
submitted. [pdf] | |
| Heegner cycles and p-adic L-functions. |
F. Castella and M.-L. Hsieh | |
submitted. [pdf] | |
| Variation of anticyclotomic Iwasawa invariants in Hida families. |
F. Castella, C.-H. Kim and M. Longo | |
submitted. [pdf] | |
| Big Heegner points and special values of L-series. |
F. Castella and M. Longo | |
Annales Mathématiques du Québec, special issue: Glenn Stevens 60th birthday, to appear. [pdf], [journal] | |
| On the exceptional specializations of big Heegner points. |
F. Castella | |
Journal de l'Institut Mathématique de Jussieu, to appear. [pdf], [journal] | |
| On the p-adic variation of Heegner points. |
F. Castella | |
submitted. [pdf] | |
| Heegner cycles and higher weight specializations of big Heegner points. |
F. Castella | |
Mathematische Annalen 356 (2013), 1247-1282. [pdf], [journal] | |
| Euler systems and p-adic L-functions: a tale in two trilogies. |
M. Bertolini, F. Castella, H. Darmon, S. Dasgupta, K. Prasanna and V. Rotger | |
LMS Lecture Note Series 414 (2014), 52-101. [pdf], [chapter] | |
| On the p-adic variation of Heegner points. |
F. Castella | |
PhD thesis (adviser: Prof. Henri Darmon). [pdf] | |
| Ordinary CM forms and local Galois representations. |
F. Castella | |
MSc thesis (adviser: Prof. Victor Rotger). [pdf] | |