Michael H. Mertens

activity

20182026

collaborators

4 papers

math.QA2026

Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$

Maneesha Ampagouni, Geoffrey Mason, Michael H. Mertens

We study a special class of holomorphic vertex operator algebras (VOAs) that we call \emph{balanced}.\ For a balanced, holomorphic VOA $V = C 1 \oplus V_{1} \oplus \dots$ …

math.NT2023

Weight $1/2$ multiplier systems for the group $Γ_{0}^{+} (p)$ and a geometric formulation

Michael H. Mertens, Mark A. Norfleet

We construct a weight $1/2$ multiplier system for the group $Γ_{0}^{+} (p)$ , the normalizer of the congruence subgroup $Γ_{0} (p)$ where $p$ is an odd prime, and we define an analogue of t…

math.RT2022

Class Numbers, Cyclic Simple Groups and Arithmetic

Miranda C. N. Cheng, John F. R. Duncan, Michael H. Mertens

Here we initiate a program to study relationships between finite groups and arithmetic-geometric invariants in a systematic way. To do this we first introduce a notion of optimal m…

math.PR2018

Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems

Diego Armentano, Jean-Marc Azaïs, Federico Dalmao +1

We obtain a Central Limit Theorem for the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size as the degree goes to infinity. A stud…

Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge 32

Weight 1/2 multiplier systems for the group Γ0+​(p) and a geometric formulation

Class Numbers, Cyclic Simple Groups and Arithmetic

Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems

Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$

Weight $1/2$ multiplier systems for the group $Γ_{0}^{+} (p)$ and a geometric formulation