Video Lectures

We consider a class of interacting particle systems with two types, A and B which perform independent random walks at different speeds. Type A particles turn into type B when they meet another type B particle. This class of systems includes models...

Most of the visible matter in the Universe is a plasma, that is a dilute gas of ions, electrons, and neutral atoms. In many circumstances, the dynamics of this plasma can be modeled in the continuum limit, using the equations of fluid mechanics...

A theorem of Bernstein identifies the center of the affine Hecke algebra of a reductive group GG with the Grothendieck ring of the tensor category of representations of the dual group G?G?. Gaitsgory constructed a functor which categrorifies this...

Some years ago, I proved with Shulman and Sørensen that precisely 12 of the 17 wallpaper groups are matricially stable in the operator norm. We did so as part of a general investigation of when group C?C?-algebras have the semiprojectivity and weak...