Department Mathematik



Dr. Jonas Stelzig

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


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

Office hours: Thursday 14-16

Arbeitsgruppe Differentialgeometrie und Topologie



Summer 23

  • Exercise classes: Geometrie und Topologie von Flächen (Prof. D. Kotschick). Moodle

Winter 22/23

  • Exercise classes: Topology I (S. Gritschacher). course homepage.
  • Exercise classes: Grundlagen der Mathematik I (Prof. E. Schoerner). course homepage.

Summer 22

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

Winter 21/22

  • Lecture course: Complex Geometry. moodle, lsf

Summer 2021

  • Exercise classes: Topology II (Prof. D. Kotschick)


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

Publications and Preprints

  1. (with A. Milivojevic and L. Zoller) Formality is preseved under domination. Preprint, 2023, arxiv.
  2. (with H. Kasuya) Complex non-Kähler manifolds that are cohomologically close to, or far from, being Kähler. Preprint, 2023, arxiv.
  3. Pluripotential Homotopy Theory. Preprint, 2023, arxiv.
  4. (with S. Wilson) A ddc-type condition beyond the Kaehler realm. Preprint, 2022, arxiv, to appear in J. Inst. Math. Jussieu.
  5. Some remarks on the Schweitzer complex. Preprint, 2022, arxiv, to appear in Ann. Inst. Fourier.
  6. (with A. Milivojevic and L. Zoller) Poincare dualization and formal domination. Preprint, 2022, arxiv.
  7. (with A. Milivojevic) Bigraded notions of formality and Aeppli-Bott-Chern-Massey products. Preprint, 2022, arxiv.
  8. (with D. Angella, A. Dubickas and A. Otiman) On metric and cohomological properties of Oeljeklaus-Toma manifolds. 2022, arxiv, to appear in Publicacions Matematiques.
  9. (with R. Coelho and G. Placini) Maximally non-integrable almost complex structures: an h-principle and cohomological properties. 2021, arxiv, Selecta Math.
  10. On linear combinations of cohomological invariants of compact complex manifolds. 2021, arxiv, Adv. Math, Code.
  11. (with H. Kasuya) Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds. Preprint, 2020, arxiv. To appear in Transformation Groups
  12. (with D. Popovici and L. Ugarte) Deformations of Higher-Page Analogues of ddbar-manifolds. 2020, arxiv, Math. Z.
  13. (with D. Popovici and L. Ugarte) Higher-Page Bott-Chern and Aeppli Cohomologies and Applications. 2020, arxiv. J. Reine Angew. Math. (Crelle)
  14. (with D. Popovici and L. Ugarte) Higher-Page Hodge Theory of Compact Complex Manifolds. Preprint, 2020, arxiv, to appear in Ann. Sc. Norm. Super. Pisa, Cl. Sci.
  15. Toric Vector Bundles: GAGA and Hodge Theory. 2019, arxiv, Math. Z.
  16. On the Structure of Double Complexes. 2018, arxiv. J. London Math. Soc.
  17. The Double Complex of a Blow-Up. 2018, arxiv, IMRN.

Recent Workshops and Conferences