Complex analysis in several variables is a wide field of research; it is a branch of analysis but with strong connections to algebra and geometry. The group currently conducts research in residue theory with connections to commutative algebra, and analysis on singular spaces, e.g., division problems, the dbar-equation, and integral representation. Another research theme in the group is Kähler geometry. The emphasis is on the interplay between Kähler geometry, positivity of direct image bundles and pluripotential theory (notably in connection to Kähler-Einstein metrics and complex Monge-Ampère equations). Connections to convex geometry and Okounkov bodies, as well as to random point processes, are also explored.

## Seminars

We organize the KASS seminar.

## Members

Faculty |
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Andreas Andersson | Characterizations of stable vector bundles | |

Mats Andersson | Multivariable residue theory | |

Robert Berman | Analytical aspects of complex algebraic and differential geometry | |

Bo Berndtsson | Complex analysis in several variables and complex geometry | |

Zakarias Sjöström Dyrefelt | K-stability and existence of canonical metrics on compact Kähler manifolds | |

Dennis Eriksson | Algebraic geometry | |

Elin Götmark | Complex analysis and partial differential equations | |

Håkan Samuelsson Kalm | Calculus of residue currents | |

Lucas Kaufmann | Pluripotential theory, applications to holomorphic dynamics and geometry | |

Richard Lärkäng | Singular varieties and residue currents | |

David Witt Nyström | Complex geometry | |

Daniel Persson | | |

Martin Sera | The Dolbeault operator on singular complex spaces | |

Elizabeth Wulcan | Multivariable residue theory and complex dynamics | |

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PhD students |
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Jakob Hultgren | Real and complex Monge-Ampère equations | |

Jimmy Johansson | Complex analysis in several variables | |

Mattias Lennartsson | Residue currents | |

Antonio Trusiani | | |

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Emeriti |
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Hasse Carlsson | Boundedness properties of singular integrals and maximal functions |