Research

I work in differential geometry, specifically in Riemannian geometry. Below you find links to my PhD thesis and works. Here is a list of areas I am interested in:

• Riemannian structures with special and exceptional holonomy, connections with particle physics, string theory, M-theory.

• Curvature, geometry and topology of Einstein and Ricci-flat manifolds. 

• Lie groups, Lie algebras, their representations, invariants, geometries described by Lie groups.

• Clifford algebras, their representations, spin geometry, connections with special G-structures.

• Combinatorical aspects of Lie group actions, torus-actions, equivariant cohomology,  GKM theory and graphs.

• Geometry and topology of submanifolds, particularly with symmetries and curvature constraints.

• ... to be continued ...
  
  As you see, the above list is still very short, please contribute to expand it - drop me an e-mail and teach me!