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Address:
Department Mathematik Universtität zu Köln
Weyertal 86-90
50931 Köln

Office: Raum 005a

Email: pako@math.uni-koeln.de

Research

My main research areas are

Preprints

  1. Exotic almost complex circle actions on 6-manifolds, with Nicholas Lindsay (arXiv)
  2. The GKM correspondence in dimension 6, with Oliver Goertsches and Leopold Zoller (arXiv)

Publications

  1. GKM Theory in low dimensions, with Oliver Goertsches and Leopold Zoller, to appear in Contemporary Mathematics, (arXiv)
  2. On the Stiefel-Whitney classes of GKM manifolds, with Oliver Goertsches and Leopold Zoller, to appear in C. R. Math. Rep. Acad. Sci. Canada, (arXiv)
  3. Realization of GKM Fibrations and new examples of Hamiltonian non-Kähler actions (with Oliver Goertsches and Leopold Zoller), Compos. Math. 159 (2023), no. 10, 2149-2190
  4. GKM manifolds are not rigid,
    (with Oliver Goertsches and Leopold Zoller) Algebr. Geom. Topol. 22, No. 7, 3511-3532 (2022) (arXiv)
  5. A counting invariant for maps into spheres and for zero loci of sections of vector bundles,
    Abh. Math. Semin. Univ. Hambg., (arXiv)
  6. GKM theory and Hamiltonian non-Kähler actions in dimension 6,
    (with Oliver Goertsches, Leopold Otto Zoller) Adv. Math. 368 (2020), 107141, 17 pp., (arXiv),
  7. Vector bundles and cohomotopies of spin 5-manifolds, Homology Homotopy Appl. 23 (2020), (arXiv),
  8. Symplectic and Kähler structures on biquotients,
    (with Oliver Goertsches, Leopold Otto Zoller) J. Symplectic Geom. 18 (2020), no. 3, 791-813, (arXiv),
  9. Almost complex structures on connected sums of complex projective spaces,
    (with Oliver Goertsches) Ann. K-Theory 4 (2019), no. 1, 139-149 (arXiv)
  10. 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)
  11. Almost complex structures on spheres,
    (with Maurizio Parton) Differential Geom. Appl. 57 (2018), 10-22 (arXiv)
  12. A note on the topology of irreducible SO(3)-manifolds,
    Topology Appl. 239 (2018), 81-91. (arXiv)
  13. 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.