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News

  • 29.10.19 - Seminarvortrag (Evgeny A. Poletsky)
    Pluricomplex Green functions on manifolds [more]
  • 08.10.19 - Seminarvortrag (Gautam Bharali)
    Visibility spaces for the Kobayashi distance and applications [more]
  • Vortragsreihe: Prof. Alexander Tumanov
    14.-28.10.19 - Complex discs and their applications [more]
  • 05.07.19 - Joint Seminar on Complex Algebraic Geometry and Complex Analysis (Bochum - Essen - Köln - Wuppertal)
    Tien-Cuong Dinh (Singapore), Xiaonan Ma (Paris VII), Nessim Sibony (Orsay) [more]
  • Lecture series by Prof. Rashkovskii
    20 to 28 May - Lecture about plurisubharmonic singularities and Lelong numbers [more]
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Resarch group Complex Analysis Wuppertal

Archives of the Mathematisches Forschungsinstitut Oberwolfach; f.l.t.r.: Prof. Dr. K. Diederich, Dr. T. Pawlaschyk, Dr. R. Andrist, (Dr. J.C. Joo), Prof. Dr. Shcherbina, (Dr. T. Harz), Priv.-Doz. Dr. J. Ruppenthal, (Dr. R. Lärkäng), M. L. Sera; Other members: Apl. Prof. Dr. G. Herbort, Prof. Dr. K. Fritzsche (retired), photo taken in Jan. 2015

Research areas:

The research interests of this group lie mainly in the area of geometric and quantitative Complex Analysis incorporating many methods of real analysis. Geometry, Analysis, Topology and Algebra interact in this area in a natural way, generating a great richness of still unexplored phenomena. Applications thereof can be found in many subjects of Pure Mathematics (Analysis, Algebraic/Analytic Geometry, Number Theory, Topology etc.) but also in recent Theoretical Physics in Scientific Computing.

Main topics of reasearch of this group:
  • Pluripotential Theory (and Green's functions)
  • Polynomial and Rational Convexity
  • Solutions of the Cauchy-Riemann equations with estimates
  • Quantitative aspects of Bergmann theory
  • Convexity properties of quasi-projective varieties
  • Differentiability on general complex spaces
  • The Levi problem for singular complex spaces
  • Geometry and cohomology of complex manifolds
  • Analysis on singular complex spaces
  • q-plurisbuharmonic functions and q-pseudoconvex sets