Simon Marshall

activity

20232026

collaborators

4 papers

math.SP2026

Quantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces

Farrell Brumley, Simon Marshall, Jasmin Matz +1

We prove that for almost all symmetric spaces $X$ and for any sequence of compact locally symmetric spaces $Y_{n}$ which is uniformly discrete, has a uniform spectral gap, and conver…

cs.LG2024

Understanding polysemanticity in neural networks through coding theory

Simon C. Marshall, Jan H. Kirchner

Despite substantial efforts, neural network interpretability remains an elusive goal, with previous research failing to provide succinct explanations of most single neurons' impact…

math.NT2023

Subconvexity for $L$ -functions on $U (n) \times U (n + 1)$ in the depth aspect

Simon Marshall

Let $E / F$ be a CM extension of number fields, and let $H < G$ be a unitary Gan--Gross--Prasad pair defined with respect to $E / F$ that is compact at infinity. We consider a family $…

math.NT2023

Concentration properties of theta lifts on orthogonal groups

Farrell Brumley, Simon Marshall

Let $n > m ⩾ 1$ be integers with $n + m ⩾ 4$ even. We prove the existence of Maass forms with large sup norms on anisotropic $O (n, m)$ , by combining a counting argum…

Quantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces

Understanding polysemanticity in neural networks through coding theory

Subconvexity for L-functions on U(n)×U(n+1) in the depth aspect

Concentration properties of theta lifts on orthogonal groups

Subconvexity for $L$ -functions on $U (n) \times U (n + 1)$ in the depth aspect