Paul D. Nelson

activity

20102022

most citedEquidistribution of cusp forms in the level aspect

28 citations · 140 across the 20 of their papers we have counts for

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math.NT2020★ 1 cited

Spectral aspect subconvex bounds for $U_{n + 1} \times U_{n}$

Paul D. Nelson

Let $(π, σ)$ traverse a sequence of pairs of cuspidal automorphic representations of a unitary Gan--Gross--Prasad pair $(U_{n + 1}, U_{n})$ over a number field, with ${\rm U}…

math.NT2020

Quadratic Hecke sums and mass equidistribution

Paul D. Nelson

We consider the analogue of the quantum unique ergodicity conjecture for holomorphic Hecke eigenforms on compact arithmetic hyperbolic surfaces. We show that this conjecture follow…

Spectral aspect subconvex bounds for Un+1​×Un​

Quadratic Hecke sums and mass equidistribution

Spectral aspect subconvex bounds for $U_{n + 1} \times U_{n}$