I am a professor working on condensed matter theory.
My current interest is in topological order,
which correspond to patterns of long-range entanglement in many-body system.
Understanding patterns of many-body entanglement is related to some modern mathematics. For example,
the math framework for
2D long-range entanglements happen to be
tensor category theory.
The math framework for
short-range entanglements with symmetry happen to be
group cohomology theory of the symmetry group.