papers
Publications (12)
math.NT2018
Indivisibility of Heegner points and arithmetic applications
Ashay Burungale, Francesc Castella, Chan-Ho Kim
math.NT2016
Iwasawa Main Conjecture for Heegner Points: Supersingular Case
Francesc Castella, Xin Wan
math.NT2014
Big Heegner points and special values of $L$-series
Francesc Castella, Matteo Longo
math.NT2017
Heegner cycles and $p$-adic $L$-functions
Francesc Castella, Ming-Lun Hsieh
math.NT2018
On the Iwasawa main conjectures for modular forms at non-ordinary primes
Francesc Castella, Mirela Ãiperiani, Christopher Skinner +1
math.NT2018
Variation of anticyclotomic Iwasawa invariants in Hida families
Francesc Castella, Chan-Ho Kim, Matteo Longo
math.NT2017
On the $p$-part of the Birch-Swinnerton-Dyer formula for multiplicative primes
Francesc Castella
math.NT2019
On the non-vanishing of generalized Kato classes for elliptic curves of rank $2$
Francesc Castella, Ming-Lun Hsieh
math.NT2015
On the exceptional specializations of big Heegner points
Francesc Castella
math.NT2018
Perrin-Riou's main conjecture for elliptic curves at supersingular primes
Francesc Castella, Xin Wan
math.NT2017
$p$-adic heights of Heegner points and Beilinson-Flach elements
Francesc Castella
math.NT2016
A geometric perspective on p-adic properties of mock modular forms
Luca Candelori, Francesc Castella