# Jakob Palmkvist

Guest teacher, Mathematical Sciences

My research concerns algebraic structures that arise in fundamental physics, in particular Lie algebras describing duality symmetries in string theory and extensions to infinite-dimensional Lie superalgberas. A new type of such extensions, called tensor hierarchy algebras, have proven particularly useful in models where we generalize diffeomorphisms and other geometric concepts used to describe ordinary gravity in general relativity. The generalized diffeomorphisms unify ordinary diffeomorphisms with gauge transformations related to the duality symmetries and can lead to a better understanding of how general theory should be unified with quantum mechanics.

Course coordinator and examiner for the following courses:

Introduction to discrete mathematics (Chalmers, TMV210) autumn 2019

Linear algebra and differential equations (Chalmers, TMV210) autumn 2019

Introduction to discrete mathematics (Chalmers, TMV210) autumn 2019

Linear algebra and differential equations (Chalmers, TMV210) autumn 2019