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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 2 cited

Some analytic aspects of automorphic forms on GL(2) of minimal type

Yueke Hu, Paul D. Nelson, Abhishek Saha

Let $π$ be a cuspidal automorphic representation of $P G L_{2} (A_{Q})$ of arithmetic conductor $C$ and archimedean parameter $T$ , and let $ϕ$ be an $L^{2}$ -normalized aut…

math.NT2017★ 4 cited

Quantum variance on quaternion algebras, II

Paul D. Nelson

A method for determining quantum variance asymptotics on compact quotients attached to non-split quaternion algebras is developed in general and applied to "microlocal lifts" in th…

math.NT2017★ 16 cited

Subconvex equidistribution of cusp forms: reduction to Eisenstein observables

Paul D. Nelson

Let $π$ traverse a sequence of cuspidal automorphic representations of GL(2) with large prime level, unramified central character and bounded infinity type. For G either of the gro…