School of Mathematical Sciences
   
   
  
 

Kirill Krasnov

Professor of Mathematical Physics, Faculty of Science

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Research Summary

I am interested in different formulations of General Relativity. The aspects of most interest to me are how non-renormalisability of perturbative quantum gravity manifests itself in different… read more

Recent Publications

Current Research

I am interested in different formulations of General Relativity. The aspects of most interest to me are how non-renormalisability of perturbative quantum gravity manifests itself in different formulations, and how different formulations suggest different paths towards unification of gravity with other interactions. I am also interested in the relation "Gravity is the square of Yang-Mills theory" that is visible in the scattering amplitudes of both theories, and implications this relation has for the UV divergences in quantum gravity. I am interested in the geometry of 3-forms in 6 and 7 dimensions, and thus in aspects of geometry of manifolds of exceptional holonomy. These geometrical structures are central to the idea that 4D General Relativity arises as the dimensional reduction of a certain diffeomorphism invariant theory of differential forms in higher dimensions. This idea is what I am currently developing. A good overview of my current interests can be formed by looking at my most recent papers on the arxiv.

School of Mathematical Sciences

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