Associated to an open subgroup $G$ of $\GL_2(\Zhat)$ satisfying conditions $-I \in G$ and $\det(G) \subsetneq (\Zhat)^{\times}$ there is a modular curve $X_G$ which is a smooth compact curve defined over an extension of $\Q.$ In this article, we give a complete list of all such prime power level genus $0$ modular curves with a point.

Number Theory

STTA accesses $\mathcal T$ exclusively via two-sided random sketches of the original data, making it streamable and easy to implement in parallel -- unlike existing deterministic and randomized tensor train approximations.

Numerical Analysis Numerical Analysis

We present two block variants of the discrete empirical interpolation method (DEIM); as a particular application, we will consider a CUR factorization.

Numerical Analysis Numerical Analysis

In this work we are interested in stochastic particle methods for multi-objective optimization.

Optimization and Control 35Q70, 35Q84, 35Q93, 90C29, 90C56

Classical Hamming graphs are Cartesian products of complete graphs, and two vertices are adjacent if they differ in exactly one coordinate.

Combinatorics 05C69 (Primary) 05C12, 05B30, 05C15 (Secondary)

This work studies shape filtering techniques, namely the convolution-based (explicit) and the PDE-based (implicit), and introduces an implicit bulk-surface filtering method to control the boundary smoothness and preserve the internal mesh quality simultaneously in the course of bulk (solid) shape optimization.

Numerical Analysis Numerical Analysis Optimization and Control

We model a general class of such photovoltaic technologies by ill-posed global and local inverse problems based on a drift-diffusion system which describes charge transport in a self-consistent electrical field.

Numerical Analysis Numerical Analysis 68T07, 65N21, 35Q81

Local maxima of random processes are useful for finding important regions and are routinely used, for summarising features of interest (e. g. in neuroimaging).

Statistics Theory Statistics Theory

We solve two open problems in Coxeter-Catalan combinatorics.

Combinatorics Representation Theory Primary: 05A15. Secondary: 05E05, 05E10, 20C08

In general, the gonality of a curve of genus $g \ge 2$ is at most $2g - 2$.

Algebraic Geometry Number Theory