Symplectic singularities represent a thriving subject of study for physicists and mathematicians: they appear naturally as Coulomb Branches of 3d N=4 Quiver Gauge Theories. In this talk, I will review the definition of the Coulomb Branch of a 3d N=4 quiver gauge theory and comment on how physicists understand the foliation of this symplectic singularity in partially ordered symplectic leaves and derive the associated Hasse diagram. I will present novel results allowing, with a quiver algorithm, to derive the Hasse diagram for symplectic singularities realisable as Coulomb Branches of 3d N=4 orthosymplectic quiver theories, thus matching independent predictions via deformation theory coming from alternative constructions of the quiver gauge theory.