N. Walsh

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math.NT2025

Gluing Genus 1 and Genus 2 Curves Along $ℓ$ -torsion

Pitchayut Saengrungkongka, Noah Walsh

Let $Y$ be a genus $2$ curve over $Q$ . We provide a method to systematically search for possible candidates of a prime $ℓ \geq 3$ and a genus $1$ curve $X$ for which ther…

math.NT2024

Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-MaaÃ 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…

Gluing Genus 1 and Genus 2 Curves Along ℓ-torsion

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

Gluing Genus 1 and Genus 2 Curves Along $ℓ$ -torsion

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