Department Mathematik
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Dr. Jonas Stelzig

Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München

Email: Jonas.Stelzig@mathematik.uni-muenchen.de

Tel:   +49 (0)89   2180 4446
Büro: Block B, 3. Stock, 308

Office hours: Thursday 14-16

Arbeitsgruppe Differentialgeometrie und Topologie

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Teaching

Summer 22

  • Lectures: Selected topics in Complex Geometry (with Prof. D. Kotschick) course homepage

Winter 21/22

Summer 2021

  • Exercises: Topology II (Prof. D. Kotschick)


Research

Broadly speaking, I am interested in Geometry, Topology and Number Theory. Concretely, I currently spent most of my time thinking about (almost-)complex manifolds and their cohomology.

Publications and Preprints

  1. (with S. Wilson) A ddc-type condition beyond the Kaehler realm. Preprint, 2022, arxiv.
  2. Some remarks on the Schweitzer complex. Preprint, 2022, arxiv.
  3. (with A. Milivojevic and L. Zoller) Poincare dualization and formal domination. Preprint, 2022, arxiv.
  4. (with A. Milivojevic) Bigraded notions of formality and Aeppli-Bott-Chern-Massey products. Preprint, 2022, arxiv.
  5. (with D. Angella, A. Dubickas and A. Otiman) On metric and cohomological properties of Oeljeklaus-Toma manifolds. Preprint, 2022, arxiv.
  6. (with R. Coelho and G. Placini) Maximally non-integrable almost complex structures: an h-principle and cohomological properties. Preprint, 2021, arxiv, to appear in Selecta Math.
  7. On linear combinations of cohomological invariants of compact complex manifolds. 2021, arxiv, Adv. Math.
  8. (with H. Kasuya) Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds. Preprint, 2020, arxiv.
  9. (with D. Popovici and L. Ugarte) Deformations of Higher-Page Analogues of ddbar-manifolds. 2020, arxiv, Math. Z.
  10. (with D. Popovici and L. Ugarte) Higher-Page Bott-Chern and Aeppli Cohomologies and Applications. 2020, arxiv. J. Reine Angew. Math. (Crelle)
  11. (with D. Popovici and L. Ugarte) Higher-Page Hodge Theory of Compact Complex Manifolds. Preprint, 2020, arxiv.
  12. Toric Vector Bundles: GAGA and Hodge Theory. 2019, arxiv, Math. Z.
  13. On the Structure of Double Complexes. 2018, arxiv. J. London Math. Soc.
  14. The Double Complex of a Blow-Up. 2018, arxiv, IMRN.

Recent Workshops and Seminars