Christoph Bohle (Old Homepage)

Teaching

Winter 2007/8	Differential Geometry II (Manifolds)
Summer 2008	Differential Geometry III (Analysis on manifolds and geometry of surfaces / Joint with Ulrich Pinkall) In my part of the lectures I'll give an introduction to the theory of elliptic operators on compact manifolds.

Previous semesters: see old homepage.

Projects

Currently, I am mainly working on Constrained Willmore Surfaces (a project within the DFG Priority Program (1154) Global Differential Geometry).
I am also a member of the DFG Research Unit Polyhedral Surfaces and the DFG Project Geometric Problems and Special PDEs.

Pictures

Here you can find our movie "16 Pi" and Paul Peters' pictures originating from our joint project on soliton spheres.

Publications and Preprints

with Paul Peters:
Soliton spheres,
to appear in Trans. AMS, arxiv:0905.2162.
with Franz Pedit and Ulrich Pinkall:
The spectral curve of a quaternionic holomorphic line bundle over a 2-torus,
Manuscr. Math. 130 (2009), 311-352, [online], preprint version arXiv:0904.2475.
Constant mean curvature tori as stationary solutions to the Davey-Stewartson equation,
arXiv:0810.1238.
with Franz Pedit and Ulrich Pinkall:
Discrete holomorphic geometry I. Darboux transformations and spectral curves,
J. Reine Angew. Math. 637 (2009), 99-139, [online], preprint version arXiv:0803.0716.
Constrained Willmore tori in the 4-sphere,
to appear in Journal of Differential Geometry, arXiv:0803.0633.
with Katrin Leschke, Franz Pedit, and Ulrich Pinkall:
Conformal maps from a 2-torus to the 4-sphere,
to appear in J. Reine Angew. Math., arxiv:0712.2311.
Constrained Willmore surfaces,
in Progress in Surface Theory (Oberwolfach, April 29-May 5, 2007). Oberwolfach Rep. 4 (2007), no.2, 1358-1361. [online]
On constrained Willmore tori in the 4-sphere,
in Geometrie (Oberwolfach, October 8-14, 2006), Oberwolfach Rep. 3 (2006), no. 4, 2705-2708. [online]
with Paul Peters:
Bryant surfaces with smooth ends,
Comm. Anal. Geom. (17) 2009, 587-617, preprint version math.DG/0411480.
with Paul Peters and Ulrich Pinkall:
Constrained Willmore surfaces,
Calc. Var. Partial Differential Equations 32 (2008), 263-277, [online], math.DG/0411479.
Möbius invariant flows of tori in S^4,
Doctoral Thesis at Technische Universität Berlin, Advisor: Prof. U. Pinkall, 2003. [pdf].
Killing spinors on Lorentzian manifolds,
J. Geom. Phys. 45 (2003), 285-308. (Also available as Sfb 288 Preprint 417, 1999, [ps], [dvi])
Killing and twistor spinors on Lorentzian manifolds,
Diploma Thesis at Freie Universität Berlin, Advisor: Prof. H. Baum, 1998. ([ps], [dvi])

Christoph Bohle

Last modified: 17.08.2011 .