Christopher Skinner

most citedIndivisibility of Heegner points in the multiplicative case

28 citations · 50 across the 3 of their papers we have counts for

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math.NT2024

Anti-cyclotomic Euler system of diagonal cycles

Shilin Lai, Christopher Skinner

We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1…

math.NT2014★ 22 cited

A majority of elliptic curves over $Q$ satisfy the Birch and Swinnerton-Dyer conjecture

Manjul Bhargava, Christopher Skinner, Wei Zhang

We prove that a majority (in fact, $> 66%$ ) of all elliptic curves over $Q$ , when ordered by height, satisfy the Birch and Swinnerton-Dyer rank conjecture.

math.NT2014★ 28 cited

Indivisibility of Heegner points in the multiplicative case

Christopher Skinner, Wei Zhang

For certain elliptic curves $E$ over $Q$ with multiplicative reduction at a prime $p \geq 5$ , we prove the $p$ -indivisibility of the derived Heegner classes defined with re…

Anti-cyclotomic Euler system of diagonal cycles

A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture

Indivisibility of Heegner points in the multiplicative case

A majority of elliptic curves over $Q$ satisfy the Birch and Swinnerton-Dyer conjecture