Department Mathematik
print
Navigationspfad
Inhaltsbereich

Priv.-Doz. 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

 Photo
In 2026 I will take up a Heisenberg-position funded by the DFG.

Teaching

Winter 25/26

  • Lecture course: Complex Geometry. Moodle, lsf.
  • Reading course: Motivic cohomology (with Dr. S. Gritschacher).

Summer 25

  • On leave at LMU, teaching in Mainz (lecture course in Riemann surfaces and a seminar on topological K-theory)

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, in particular their cohomology, and rational homotopy theory.

Publications and Preprints

  1. (with G. Placini and L. Zoller) Strong formality of toric and homogeneous compact Kähler manifolds. Preprint, 2025, arxiv.
  2. Differential forms and invariants of complex manifolds. 2025, arxiv, Complex Manifolds.
  3. (with G. Placini and L. Zoller) Nontrivial Massey products on compact Kähler manifolds. Preprint, 2024, arxiv.
  4. (with A. Milivojevic and L. Zoller) Formality is preserved under domination. Preprint, 2023, arxiv.
  5. (with H. Kasuya) Complex non-Kähler manifolds that are cohomologically close to, or far from, being Kähler. 2023, arxiv, to appear in Math. Res. Lett.
  6. Pluripotential Homotopy Theory. 2023, arxiv, Adv. Math.
  7. (with S. Wilson) A ddc-type condition beyond the Kaehler realm. 2022, arxiv, J. Inst. Math. Jussieu.
  8. Some remarks on the Schweitzer complex. 2022, arxiv, Ann. Inst. Fourier.
  9. (with A. Milivojevic and L. Zoller) Poincare dualization and formal domination. Preprint, 2022, arxiv.
  10. (with A. Milivojevic) Bigraded notions of formality and Aeppli-Bott-Chern-Massey products. 2022, arxiv, to appear in Comm. Anal. Geom.
  11. (with D. Angella, A. Dubickas and A. Otiman) On metric and cohomological properties of Oeljeklaus-Toma manifolds. 2022, arxiv, Publ. Mat..
  12. (with R. Coelho and G. Placini) Maximally non-integrable almost complex structures: an h-principle and cohomological properties. 2021, arxiv, Selecta Math.
  13. On linear combinations of cohomological invariants of compact complex manifolds. 2021, arxiv, Adv. Math, Code.
  14. (with H. Kasuya) Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds. 2020, arxiv. Transform. Groups
  15. (with D. Popovici and L. Ugarte) Deformations of Higher-Page Analogues of ddbar-manifolds. 2020, arxiv, Math. Z.
  16. (with D. Popovici and L. Ugarte) Higher-Page Bott-Chern and Aeppli Cohomologies and Applications. 2020, arxiv. J. Reine Angew. Math. (Crelle)
  17. (with D. Popovici and L. Ugarte) Higher-Page Hodge Theory of Compact Complex Manifolds. 2020, arxiv, Ann. Sc. Norm. Super. Pisa, Cl. Sci.
  18. Toric Vector Bundles: GAGA and Hodge Theory. 2019, arxiv, Math. Z.
  19. On the Structure of Double Complexes. 2018, arxiv. J. London Math. Soc.
  20. The Double Complex of a Blow-Up. 2018, arxiv, IMRN.

Resources for bicomplexes: