6 citations · 7 across the 8 of their papers we have counts for
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Five-dimensional compatible systems and the Tate conjecture for elliptic surfaces
Lian Duan, Xiyuan Wang, Ariel Weiss
Let be a strictly compatible system of Galois representations such that no Hodge--Tate weight has multiplicity…
Some remarks on strong multiplicity one for paramodular forms
Xiyuan Wang, Zhining Wei, Pan Yan +1
We establish several refined strong multiplicity one results for paramodular cusp forms by using automorphic and Galois-theoretic methods. We also give an application to distinguis…
On the essential torsion finiteness of abelian varieties over torsion fields
Jeff Achter, Lian Duan, Xiyuan Wang
The classical Mordell-Weil theorem implies that an abelian variety over a number field has only finitely many -rational torsion points. This finitude of torsion still ho…
Smoothness of components of the Emerton-Gee stack for
Anthony Guzman, Kalyani Kansal, Iason Kountouridis +2
Let be a finite unramified extension of , where . [CEGS22b] and [EG23] construct a moduli stack of two dimensional mod representations of the absolute Ga…
Parametric Euler Sums of Harmonic Numbers
Junjie Quan, Xiyu Wang, Xiaoxue Wei +1
We define a parametric variant of generalized Euler sums and construct contour integration to give some explicit evaluations of these parametric Euler sums. In particular, we estab…
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem
Lian Duan, Kelly Emmrich, Ning Ma +1
Let be a finite Galois extension of number fields, and let be the Hilbert class field of . We find a way to verify the nonsplitting of the short exact sequence $$1\t…
Irreducibility of geometric Galois representations and the Tate conjecture for a family of elliptic surfaces
Lian Duan, Xiyuan Wang
Using Calegari's result on the Fontaine-Mazur conjecture, we study the irreducibility of pure, regular, rank 3 weakly compatible systems of self-dual l-adic representations. As a c…
Weight elimination in two dimensions when
Xiyuan Wang
We prove the `weight elimination' part of the weight part of Serre's conjecture for mod 2 Galois representations for rank two unitary groups, by modifying the results in arXiv:1203…