Peter Humphries

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math.NT2025

Quantitative Equidistribution on Hyperbolic Surfaces and Arithmetic Applications

Peter Humphries

The Wasserstein distance quantifies the distance between two probability measures on a metric space. We prove an analogue of the Berry-Esseen inequality for the Wasserstein distanc…

math.NT2025

The Second Moment of Rankin-Selberg $L$ -Functions in Conductor-Dropping Regimes

Peter Humphries, Rizwanur Khan

We prove an asymptotic formula for the second moment of $L$ -functions associated to the Rankin-Selberg convolution of two holomorphic Hecke cusp forms with equal weight.

math.NT2024

Strong Hybrid Subconvexity for Twisted Selfdual $GL_{3}$ $L$ -Functions

Soumendra Ganguly, Peter Humphries, Yongxiao Lin +1

We prove strong hybrid subconvex bounds simultaneously in the $q$ and $t$ aspects for $L$ -functions of selfdual $GL_{3}$ cusp forms twisted by primitive Dirichlet characters…

Quantitative Equidistribution on Hyperbolic Surfaces and Arithmetic Applications

The Second Moment of Rankin-Selberg L-Functions in Conductor-Dropping Regimes

Strong Hybrid Subconvexity for Twisted Selfdual GL3​ L-Functions

The Second Moment of Rankin-Selberg $L$ -Functions in Conductor-Dropping Regimes

Strong Hybrid Subconvexity for Twisted Selfdual $GL_{3}$ $L$ -Functions