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 mathematical foundation for
2D long-range entanglements happen to be unitary modular tensor category theory. For higher dimensions, we may need unitary braided fusion higher categories.
The mathematical framework for
short-range entanglements with symmetry happen to be
group cohomology theory of the symmetry group and cobordism theory.