## Table of contents

Number theory/Mathematical analysis

On a conjecture of Faulhuber and Steinerberger on the logarithmic derivative of ϑ_{4}

Partial differential equations/Calculus of variations

Counterexamples in calculus of variations in L^{∞}through the vectorial Eikonal equation

Partial differential equations

A note on a global strong solution to the 2D Cauchy problem of density-dependent nematic liquid crystal flows with vacuum
Optimal control/Numerical analysis

On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation
Statistique

Test d'hétéroscédasticité quand les covariables sont fonctionnelles
[Heteroscedasticity test when the covariables are functionals]

Mathematical problems in mechanics

The asymptotically sharp Korn interpolation and second inequalities for shells