Johannes Horn

I am a Postdoc in the mathematics department of the Johann Wolfgang Goethe-Universität in Frankfurt am Main in the reserach group of Prof. Martin Möller.

My interests lie in complex and differential geometry. More precisely, I am interested in Higgs Bundles, Hitchin Systems, Harmonic Maps and Representations of Surface Groups.

I did my PhD on the topic "Singular fibres of Hitchin systems" at Karl-Ruprecht Universität Heidelberg under supervision of Dr. Daniele Alessandrini and Prof. Dr. Anna Wienhard.

You can find more details in my curriculum vitae.

E-Mail: horn [at] math.uni-frankfurt.de

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Preprints

  1. Semi-abelian spectral data for singular fibers of the SL(2,C)-Hitchin system, preprint, arXiv:2003.07806 , to appear in Int. Math. Res. Not.

Invited talks

  1. Mar. 2020: "Singular fibers of Hitchin integrable systems", Geometry-Topology Seminar, University of Maryland, College Park.
  2. Feb. 2020: "Singular fibers of Hitchin integrable systems", Seminar Symplectic Geometry, Gauge Theory and Categorification, Columbia University, New York.
  3. Nov. 2018: "Limiting configurations on the singular locus of the Hitchin map", Oberseminar Geometrie at Karl-Albrechts-Universität zu Kiel.

Slides

  1. Oct. 2020: "Defense of Thesis: Singular fibers of Hitchin systems", Ruprecht-Karl-Universität Heidelberg, Slides.

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