I will describe a construction of gapped 3D lattice models with non-Abelian fractons from gauging subsystem symmetries of topological layers. I will describe how this relates to previously constructed fracton models with...
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I'll tell a mathematical story that runs from Archimedes' hat-box theorem of ~200BC (which he used to calculate the surface area of the sphere), to the properties of "Porter-Thomas" probability distributions,...
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Please register here to attend any of the lectures. Title: From string theory and Moonshine to vertex algebras Abstract: This is a brief survey of the early historical development of vertex...
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Please register here to attend any of the lectures. Title: Four-dimensional topology Abstract: I will outline the history of four-dimensional topology. Some major events were the work of Donaldson and Freedman...
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We consider a lattice formulation of the SO(10) chiral gauge theory with left-handed Weyl fermions in the sixteen dimensional spinor representation 16 in the framework of the overlap fermion/the Ginsparg-Wilson relation. ...
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Starting from the classical Curie-Weiss model in statistical mechanics, we will consider more general Ising models. On the one hand, we introduce a block structure, i.e. a model of spins...
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I'll describe boundary conditions for fermions in d=1+1 dimensions, using the framework of boundary conformal field theory. I'll explain how boundary states are classified by a mod 2 index, related...
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We present explicit constructions of infinite families of CW- complexes of arbitrary dimension with buildings as the universal covers. These complexes give rise to new families of C*-algebras, classifiable by their...
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In 1972, Price suggested that inverse polynomial tails should be present in the late-time behaviour of scalar fields on Schwarzschild black holes. In the decades since, many features of these...
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It has long been believed that progress in understanding the black hole information paradox would require coming to terms with microscopic details of quantum gravity, beyond the reach of semiclassical...
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