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Address: Pfaffenwaldring 57, 70569 Stuttgart

Room: 7.548

Research

My main research areas are

Preprints

  1. GKM theory and Hamiltonian non-Kähler actions in dimension 6,
    (with Oliver Goertsches, Leopold Otto Zoller) (arxiv),
  2. Vector bundles and cohomotopies of spin 5-manifolds,
    (arXiv),

Publications

  1. Symplectic and Kähler structures on biquotients,
    (with Oliver Goertsches, Leopold Otto Zoller) accepted for publication in Journal of Symplectic Geometry (arXiv),
  2. Almost complex structures on connected sums of complex projective spaces,
    (with Oliver Goertsches) Ann. K-Theory 4 (2019), no. 1, 139-149 (arXiv)
  3. The Hopf problem on the (non)-existence of complex structures on S^6,
    (with Ilka Agricola, Giovanni Bazzoni, Oliver Goertsches, Sönke Rollenske) Differential Geom. Appl. 57 (2018), 1-9 (arXiv)
  4. Almost complex structures on spheres,
    (with Maurizio Parton) Differential Geom. Appl. 57 (2018), 10-22 (arXiv)
  5. A note on the topology of irreducible SO(3)-manifolds,
    Topology Appl. 239 (2018), 81-91. (arXiv)
  6. A classification of isometry groups of homogeneous 3-manifolds,
    (with Frank Loose) Math. Nachr. 289, No. 13, 1648-1664 (pdf)

Theses

  1. Three-dimensional homogeneous spaces and their application in general relativity, Dissertation, Eberhardt-Karls-Universität Tübingen, 2013
  2. Perelmans Monotonieformel für das reduzierte Volumen, Diplomarbeit, Eberhardt-Karls-Universität Tübingen, 2008

Other

  1. Bianchi's classification of 3-dimensional Lie algebras revisited,
    (with Manuel Glas, Achim Krause, Frank Loose) (arXiv). We revisited the original proof of L. Bianchi on the classification of 3-dimensional lie algebras in modern mathematical language.