We study smooth higher symmetry groups and moduli $\infty $-stacks of generic higher
geometric structures on manifolds. Symmetries are automorphisms which cover non-trivial …

This is a mostly self-contained survey article about bundle gerbes and some of their recent
applications in geometry, field theory, and quantisation. We cover the definition of bundle …

In the Lagrangian approach to 2-dimensional sigma models, B-fields and D-branes
contribute topological terms to the action of worldsheets of both open and closed strings. We …

It is shown that every algebraic quantum field theory has an underlying functorial field theory
which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This …

Higher bundles are homotopy coherent generalisations of classical fibre bundles. They
appear in numerous contexts in geometry, topology and physics. In particular, higher …