Chris Williams

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20242026

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math.NT2026

On $p$ -adic $L$ -functions for symplectic representations of GL(N) over number fields

Chris Williams

Let $F$ be a number field, and $I ¨ $ a regular algebraic cuspidal automorphic representation of $GL_{N} (A_{F})$ of symplectic type. When $I ¨ $ is spherical at all prime…

math.NT2026

The non-abelian Leopoldt conjecture and equalities of $L$ -invariants

Daniel Barrera Salazar, Andrew Graham, Chris Williams

Let $G$ be a reductive group quasi-split at $p$ . Using arguments of Hansen--Thorne, we show that under the non-abelian Leopoldt conjecture (NALC), Hansen's $p$ -adic overconvergent…

math.NT2026

On $p$ -adic $L$ -functions for $G L_{2 n}$ in finite slope Shalika families

Daniel Barrera Salazar, Mladen Dimitrov, Chris Williams

In this paper, we propose and explore a new connection in the study of $p$ -adic $L$ -functions and eigenvarieties. We use it to prove results on the geometry of the cuspidal eigenva…

On p-adic L-functions for symplectic representations of GL(N) over number fields

The non-abelian Leopoldt conjecture and equalities of L-invariants

On p-adic L-functions for GL2n​ in finite slope Shalika families

On $p$ -adic $L$ -functions for symplectic representations of GL(N) over number fields

The non-abelian Leopoldt conjecture and equalities of $L$ -invariants

On $p$ -adic $L$ -functions for $G L_{2 n}$ in finite slope Shalika families