Jiacheng Xia

activity

20192025

most citedSome cases of Kudla's modularity conjecture for unitary Shimura varieties

3 citations · 3 across the 3 of their papers we have counts for

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math.NT2025

Isogenies of CM Elliptic Curves

Edgar Assing, Yingkun Li, Tian Wang +1

Given two CM elliptic curves over a number field and a natural number $m$ , we establish a polynomial lower bound (in terms of $m$ ) for the number of rational primes $p$ such that t…

math.NT2023

On the Iwasawa invariants of BDP Selmer groups and BDP P-adic L-fucntions

Antonio Lei, Katharina Müller, Jiacheng Xia

Let $p$ be an odd prime. Let $f_{1}$ and $f_{2}$ be weight-two Hecke eigen-cuspforms with isomorphic residual Galois representations at $p$ . Greenberg--Vatsal and Emerton--Pollack--Wes…

math.NT2021★ 3 cited

Some cases of Kudla's modularity conjecture for unitary Shimura varieties

Jiacheng Xia

We use the method of Bruinier--Raum to show that symmetric formal Fourier--Jacobi series, in the cases of norm-Euclidean imaginary quadratic fields, are Hermitian modular forms. Co…

math.NT2019

All modular forms of weight 2 can be expressed by Eisenstein series

Martin Raum, Jiacheng Xia

We show that every elliptic modular form of integral weight greater than $1$ can be expressed as linear combinations of products of at most two cusp expansions of Eisenstein series…