Francesc Castella

Available identifiers

zbMath Open castella.francescMaRDI QIDQ317521

List of research outcomes

Publication	Date of Publication	Type
Non-vanishing of Kolyvagin systems and Iwasawa theory	2023-12-14	Paper
Nonvanishing of generalised Kato classes and Iwasawa main conjectures	2023-12-03	Paper
Derived $p$-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$-adic $L$-function	2023-08-21	Paper
Diagonal cycles and anticyclotomic Iwasawa theory of modular forms	2023-03-12	Paper
Mazur's main conjecture at Eisenstein primes	2023-03-07	Paper
Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)	2022-12-19	Paper
\(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves	2022-10-09	Paper
On the nonvanishing of generalised Kato classes for elliptic curves of rank 2	2022-04-25	Paper
Generalised Kato classes on CM elliptic curves of rank 2	2022-04-20	Paper
An anticyclotomic Euler system for adjoint modular Galois representations	2022-04-15	Paper
The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions	2022-04-14	Paper
Class groups and local indecomposability for non-CM forms	2022-03-29	Paper
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	2022-02-08	Paper
On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture	2022-02-03	Paper
A proof of Perrin-Riou's Heegner point main conjecture	2021-11-03	Paper
The diagonal cycle Euler system for ${\rm GL}_2\times{\rm GL}_2$	2021-06-09	Paper
ON THE -ADIC VARIATION OF HEEGNER POINTS	2020-12-16	Paper
The Iwasawa Main Conjectures for ${\rm GL}_2$ and derivatives of $p$-adic $L$-functions	2020-01-12	Paper
Indivisibility of Heegner points and arithmetic applications	2018-06-05	Paper
On the Iwasawa main conjectures for modular forms at non-ordinary primes	2018-04-29	Paper
On the \(p\)-part of the Birch-Swinnerton-Dyer formula for multiplicative primes	2018-03-28	Paper
Heegner cycles and \(p\)-adic \(L\)-functions	2018-02-12	Paper
Variation of anticyclotomic Iwasawa invariants in Hida families	2018-01-12	Paper
ON THE EXCEPTIONAL SPECIALIZATIONS OF BIG HEEGNER POINTS	2018-01-08	Paper
p-adic heights of Heegner points and Beilinson-Flach classes	2017-09-14	Paper
A geometric perspective on \(p\)-adic properties of mock modular forms	2017-03-20	Paper
Big Heegner points and special values of \(L\)-series	2016-09-30	Paper
Perrin-Riou's main conjecture for elliptic curves at supersingular primes	2016-07-07	Paper
https://portal.mardi4nfdi.de/entity/Q2811069	2016-06-07	Paper
Iwasawa Main Conjecture for Heegner Points: Supersingular Case	2015-06-08	Paper
Heegner cycles and higher weight specializations of big Heegner points	2013-08-02	Paper

Research outcomes over time

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