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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

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For the summer term 25 I am on leave to substitute a position in Mainz (where I teach a lecture course in Riemann surfaces and a seminar on topological K-theory). In 2026 I will take up a Heisenberg-position funded by the DFG.

Teaching

Winter 24/25

  • Reading course: E-infinity algebras and Mandell's theorem (with Dr. S. Gritschacher).
  • Lecture course: Topology I (with Dr. S. Gritschacher. Moodle. lsf.

Summer 24

Winter 23/24

  • Exercise classes: Differential Geometry (Prof. D. Kotschick). Moodle
  • Seminar: Spectral sequences (with Dr. S. Gritschacher). Moodle
  • Seminar: Riemann surfaces (with Prof. D. Kotschick).

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)

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

Recent Workshops and Conferences