Peter Humphries

most citedSubconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on

SL_{2} (Z) \ SL_{2} (R)

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2026

Rankin--Selberg Subconvexity via Spectral Reciprocity

Peter Humphries, Liyang Yang

We establish explicit subconvex bounds for central values of Rankin--Selberg $L$ -functions $L (1/2, π \times π^{'})$ associated with pairs of unitary cuspidal automorphic representations…

math.NT2024★ 1 cited

New variants of arithmetic quantum ergodicity

Peter Humphries, Jesse Thorner

We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual $GL_{2}$ Hecke-Maass newforms over $Q$ as the level and Laplace eigenvalu…

math.NT2024★ 2 cited

Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on $SL_{2} (Z) \ SL_{2} (R)$

Ankit Bisain, Peter Humphries, Andrei Mandelshtam +2

It is a folklore result in arithmetic quantum chaos that quantum unique ergodicity on the modular surface with an effective rate of convergence follows from subconvex bounds for ce…

Rankin--Selberg Subconvexity via Spectral Reciprocity

New variants of arithmetic quantum ergodicity

Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on SL2​(Z)\SL2​(R)

Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on $SL_{2} (Z) \ SL_{2} (R)$