4 problems

The $\mathfrak{f}(4)$ dynamical supersymmetry conjecture. There exists a superized Landau problem whose dynamical supersymmetry, meaning its superconformal Lie algebra, is…

Let $H_L$ be the Landau Hamiltonian and let $V(x,y)=v(x)$ be a translationally invariant regular potential with $v:\mathbb{R}\to\mathbb{R}$. Consider the perturbed operator $H_L+V$…

Let $\Omega$ be the domain appearing above and let $D^{MIT}_{\overline{\Omega}^c}$ denote the Dirac operator in $\mathbb{R}^2 \setminus \overline{\Omega}$ with infinite mass bounda…

Parton basis conjecture. These basis elements are parton-like; equivalently, they are products of $M$ Slater determinants.