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Complex Analysis

Publications

Selected Publications

The following list shows some selected publications of our team. The complete lists of publications of the team members can be found on the individual homepages.


  • Pavel Gumenyuk , Maria Kourou, Annika Moucha and Oliver Roth
    Hyperbolic distortion and conformality at the boundary,
    Adv. Math., to appear
    arxiv.org:2410.13865
  • Filippo Bracci, Daniela Kraus and Oliver Roth
    A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps,
    Adv. Math. 432 Article 109262
    see Share Link or arXiv:2003.02019
  • Filippo Bracci and Oliver Roth
    Semigroup-fication of univalent self-maps of the unit disc,
    Ann. Inst. Fourier  73 no. 1,  251-277, 2023, Link
    see arXiv:2002.08252
  • Daniela Kraus, Annika Moucha and Oliver Roth
    A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights
    Anal. Math. Phys., 12 no. 2, Paper No. 46, 2022, Open Access doi.org/10.1007/s13324-021-00639-5
    see arXiv:2110.10730
  • Michael Heins, Oliver Roth and Stefan Waldmann
    Convergent Star Products on Cotangent Bundles of Lie Groups,
    Math. Ann.  386 no. 1-2, 151-206, 2023,  doi.org/10.1007/s00208-022-02384-x
    see arXiv:2107.14624
  • Oliver Roth and Pavel Gumenyuk
    On the squeezing function for finitely connected planar domains,
    Math. Ann.  384 no. 1-2, 551-574, 2022, doi.org/10.1007/s00208-021-02296-2
    see arXiv:2011.13734
  • Richard Fournier, Daniela Kraus and Oliver Roth
    A Schwarz lemma for locally univalent meromorphic functions,
    Proc. Amer. Math. Soc., 148 no. 9, 3859-3870, 2020. (arXiv:1902.07242)
  • Daniela Kraus, Oliver Roth, Matthias Schötz and Stefan Waldmann
    A convergent star product on the Poincaré disc,
     J. Funct. Anal., 277 no. 8, 2734-2771, 2019. 
  • Jürgen Grahl, Shahar Nevo
    Quasi-normality induced by differential inequalities
    Bull. Lond. Math. Soc. 50, 73-84, 2018
  • Oliver Roth, Sebastian Schleißinger
    The Schramm-Loewner equation for multiple slits
    J. d'Analyse Math.131,73-99, 2017
  • Daniela Kraus, Oliver Roth
    Sharp lower bounds for the hyperbolic metric of the complement of a closed subset of the unit circle and theorems of Schwarz-Pick-, Schottky- and Landau-type for analytic functions
    Constr. Approx. 43, 47-69, 2016
  • Oliver Roth
    Pontryagin's maximum principle for the Loewner equation in higher dimensions
    Canad. J. Math. 67 (4), 942-960, 2015
  • Daniela Kraus, Oliver Roth
    Maximal Blaschke products
    Adv. Math. 241, 58-78, 2013
  • Daniela Kraus
    Critical sets of bounded analytic functions, zero sets of Bergman spaces and nonpositive curvature
    Proc. London Math. Soc. 106 No. 4, 931-956, 2013
  • Daniela Kraus, Oliver Roth, Stephan Ruscheweyh
    A boundary version of Ahlfors' Lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps
    J. d'Analyse Math. 101, 219-256, 2007
  • Oliver Roth
    A general conformal geometric reflection principle,
    Trans. Amer. Math. Soc. 359 No. 6, 2501-2529, 2007