Martin Schlichenmaier's Research Group
Research areas
Martin Schlichenmaier's and his group's research interests include geometric (algebraic-geometric, symplectic-geometric, analytic-geometric, differential-geometric), analytic, and algebraic theories and techniques which have a close connection to mathematical and theoretical physics. In particular work has focused on:
- Kähler manifolds and algebraic varieties, especially problems appearing when they will be quantized,
- mathematical aspects of the quantization of singular spaces,
- star products (deformation quantization) as deformation of the Poisson algebras of manifolds, together with all relations to other mathematical fields in particular also to non-commutative geometry,
- moduli spaces, in particular the moduli space of algebraic curves with marked points, conformal field theory, Wess-Zumino-Novikov-Witten models (WZNW models),
- geometrically induced Lie algebras, algebras of Krichever-Novikov type, their cohomology, their central extensions, and their deformations,
- geometry of coherent states.
This group's activities touch other domains as well, such as computer algebra.
Members
Martin Schlichenmaier (Prof. Dr.) - Head of the group
Ozgur Ceyhan (Dr.) - Post-Doc (starting 1.4.2012)
Laurent Hofer (Dr.) - Post Doc
Oleksandr Iena (Dr.) - Post Doc
Simon Brain (Dr.) - Post Doc AFR
Lucio Cirio (Dr.) - Post Doc AFR
Simon Covez (Dr.) - Post Doc AFR
Chiara Pagani (Dr.) - Post-Doc AFR
N.N. - PhD-student
N.N. - PhD-student
Regular Guests:
Oleg Sheinman (Prof. Dr.)
Associate Members:
Bing Kwan So (Dr.) - Post Doc AFR
Xiongwei Cai (PhD-student)
Former Members:
Mikael Chopp (Dr.)
Yaël Frégier (Dr.)
Aron Gohr (Dr.)
Kevin Kaszewski
Frank Keller (Dr.)
Roland Knevel (Dr.)
Alexei Kotov (Dr.)
Marie-Amélie Lawn (Dr.)
Hui Li (Dr.)
Serge Pelap (Dr.)
Boris Shoikhet (Dr.)
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