2 citations · 3 across the 9 of their papers we have counts for
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Strengthenings of Mazur's Conjecture for Higher Heegner Points
Xiaoyu Zhang
We establish quantitative strengthenings of Mazur's conjecture regarding the non-torsion property of higher Heegner points on modular and Shimura curves, confirming both a vertical…
Automorphic side of Taylor-Wiles method for orthogonal and symplectic groups
Xiaoyu Zhang
The core of the Taylor-Wiles and Taylor-Wiles-Kisin method in proving modularity lifting theorems is the construction of Taylor-Wiles primes satisfying certain conditions relating…
Honda-Tate theory for log abelian varieties over finite fields
Xiaoyu Zhang, Heer Zhao
In this article we study the Honda-Tate theory for log abelian varieties over an fs log point for a finite field, gene…
Simultaneous supersingular reductions of abelian varieties
Xiaoyu Zhang
For a point in a Shimura variety attached to a Shimura datum of Hodge type , we have an associated abelian scheme . Fixing a non-empty finite set of…
On the convergence of certain indefinite theta series
Xiaoyu Zhang
We give an elementary proof of the convergence of indefinite theta series associated to an inner space of signature conjectured in the work of Alexandrov,Banerjee,Manschot…
Non-vanishing mod of theta lifts for (O_{2n+1},Mp_{4n})
Xiaoyu Zhang
We establish the non-vanishing mod of certain global theta lifts from a compact orthogonal group over to a metaplectic group …
Hida theory for Shimura varieties of Hodge type
Xiaoyu Zhang
In this article, we generalize the work of H.Hida and V.Pilloni to construct -adic families of -ordinary modular forms on Shimura varieties of Hodge type associated…
Special L-values and Selmer groups of Siegel modular forms of genus 2
Xiaoyu Zhang
Let be an odd prime, a square-free odd positive integer prime to , a -ordinary cohomological irreducible cuspidal automorphic representation of $\mathrm{GSp}_4(\m…
Selmer groups of symmetric powers of ordinary modular Galois representations
Xiaoyu Zhang
Let be a fixed odd prime number, be a Hida family over the Iwasawa algebra of one variable, its Galois representation, the -cyclotom…