Dr. Martin Schlichenmaier  Forschungsinformation
Research Interests
My research is dealing with geometric (algebraicgeometric,
symplecticgeometric,
analyticgeometric,
differentialgeometric),
analytic, and algebraic
theories and techniques which have a close connection to
mathematical and theoretical physics.
In particular I am working in the fields

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 noncommutative geometry,

moduli spaces, in particular the moduli space of algebraic curves
with marked points, conformal field theory,
WessZuminoNovikovWitten models (WZNW models),

geometrically induced Lie algebras, algebras of
KricheverNovikov type, their cohomology, their central extensions,
and their deformations,

geometry of coherent states.
Beside other topics I am also interested in
computer algebra.
The following links are a very incidential
choice of some links which are relevance to my
research topics:
Some nonmathematical links of interest to me:
Other links: