15 citations · 16 across the 8 of their papers we have counts for
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math.NT2020
Nonvanishing of Central Derivatives of Modular -series in Level
Brian Lawrence
A quadratic twist of the L-function associated with a modular form is known to satisfy a functional equation, which may be even or odd. A result due to Gross and Zagier explicitly…
math.NT2020★ 15 cited
The Shafarevich conjecture for hypersurfaces in abelian varieties
Brian Lawrence, Will Sawin
Faltings proved that there are finitely many abelian varieties of genus over a number field , with good reduction outside a finite set of primes . Fixing one of these abe…
math.NT2020★ 1 cited
A counterexample to an optimistic guess about étale local systems
Brian Lawrence, Shizhang Li
In p-adic Hodge theory, it is known that if a Galois representation is de Rham, then it becomes semistable after extension of the base field. Liu and Zhu asked whether a correspond…