109 citations · 693 across the 41 of their papers we have counts for
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Iwasawa theory for the symmetric square of a modular form
David Loeffler, Sarah Livia Zerbes
We construct a compatible family of global cohomology classes (an Euler system) for the symmetric square of a modular form, and apply this to bounding Selmer groups of the symmetri…
On the asymptotic growth of Bloch-Kato-Shafarevich-Tate groups of modular forms over cyclotomic extensions
Antonio Lei, David Loeffler, Sarah Zerbes
We study the asymptotic behaviour of the Bloch-Kato-Shafarevich-Tate group of a modular form f over the cyclotomic Zp-extension of Q under the assumption that f is non-ordinary at…
Rankin--Eisenstein classes in Coleman families
David Loeffler, Sarah Livia Zerbes
We show that the Euler system associated to Rankin--Selberg convolutions of modular forms, introduced in our earlier works with Lei and Kings, varies analytically as the modular fo…
Rankin--Eisenstein classes and explicit reciprocity laws
Guido Kings, David Loeffler, Sarah Livia Zerbes
We construct three-variable -adic families of Galois cohomology classes attached to Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these cl…
Rankin--Eisenstein classes for modular forms
Guido Kings, David Loeffler, Sarah Livia Zerbes
In this paper we make a systematic study of certain motivic cohomology classes ("Rankin-Eisenstein classes") attached to the Rankin--Selberg convolution of two modular forms of wei…