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 2021

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

Winter 20/21

Summer 2020



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

  • (with R. Coelho and G. Placini) Maximally non-integrable almost complex structures: an h-principle and cohomological properties. Preprint, 2021, arxiv.
  • On linear relations between cohomological invariants of compact complex manifolds. Preprint, 2021, arxiv.
  • (with H. Kasuya) Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds. Preprint, 2020, arxiv.
  • (with D. Popovici and L. Ugarte) Deformations of Higher-Page Analogues of ddbar-manifolds. Preprint, 2020, arxiv, to appear in Math. Z.
  • (with D. Popovici and L. Ugarte) Higher-Page Bott-Chern and Aeppli Cohomologies and Applications, 2020, arxiv. J. Reine Angew. Math. (Crelle)
  • (with D. Popovici and L. Ugarte) Higher-Page Hodge Theory of Compact Complex Manifolds. Preprint, 2020, arxiv.
  • Toric Vector Bundles: GAGA and Hodge Theory, 2019, arxiv, Math. Z.
  • On the Structure of Double Complexes, 2018, arxiv. J. London Math. Soc.
  • The Double Complex of a Blow-Up, 2018, arxiv, IMRN.

Recent Workshops and Seminars