I am at the MPI, Bonn, for the year 2018-2019. CV
Tel : +49 228 4020244
Specific Research Interests:
Low dimensional topology; mapping class groups, fibrations of 3- and 4-manifolds. Morse theory and Lorentzian geometry.
Research Papers and Preprints
Geometry of the Homology Curve Complex Journal of Topology and Analysis. Volume 4 number 3 (2012) 335-359.
A Curve Complex and Incompressible Surfaces in SxR arXiv:1108.4206v4 (2011).
Mesh editing in nonlinear constrained shape spaces (with O. Burghard, M. Hermann and R. Klein) Preprint (2012).
The Chillingworth class is a signed stable length Algebraic and Geometric Topology Volume 15 number 3 (2015), 1863-1876.
Stable lengths on the pants graph are rational New York Journal of Mathematics. Volume 21 (2015) 1153-1168.
Critical levels and Jacobi fields in a complex of cycles Osaka Journal of Mathematics, Volume 54, Number 3 (2017), 475-497.
Fibering rigidity of 3-manifolds with Torelli monodromy arXiv:1502.03912 (2015).
Lifts of simple curves in finite regular coverings of closed surfaces Geometriae Dedicata volume 194 (2018) in press.
Examples of covering properties of boundary points of space-times International Journal of Geometric Methods in Modern Physics, in press. (2017)
Immersed stable commutator length on surfaces is computable Draft, available on request (2018).
Finding simple curves in surface covers is undecidable to appear, Geometriae Dedicata.
PhD Thesis The Curve Graph and Surface Construction in SxR
Honours Thesis Unusual Properties - Mathematical and Physical - of the a-boundary Construction
Other links: Stavros