Current Projects

Differential geometry of surfaces and Quaternions

F. Burstall, D. Ferus, K.Leschke, F.Pedit, U.Pinkall, Conformal Geometry of Surfaces in S4 and Quaternions, LNM 1772, Springer, Berlin, (2002)
D. Ferus, K.Leschke, F.Pedit, U.Pinkall, Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori, Invent. math. 146 (2001), 507-593

Discrete differential geometry

F1

Implementing mathematics in Java

jtem
oorange

Videoconferencing technology for mathematical collaboration

We are exploring ways to do remote seminars using electronic whiteboards and audio/video connections. We currently run a weekly research seminar with participants in Massachusetts and in California.

At the moment we try to rely as far as possible on standard tools. Later on we might develop further tools, based on the gathered experience.

Interactive Mathematics in virtual reality environments

Mathematics in Virtual Reality
Game engines for mathematical visualization
jReality