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

Teaching

Winter 20/21

• Exercises: Topology I (Prof. D. Kotschick)
• Seminar: Characteristic Classes (with Dr. C. Lange)
• Seminar: Complex Surfaces (with Prof. D. Kotschick)

Summer 2020

• Lecture: Complex Geometry, moodle, lsf

---

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 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.
• (with D. Popovici and L. Ugarte) Higher-Page Bott-Chern and Aeppli Cohomologies and Applications. Preprint, 2020, arxiv.
• (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. Preprint, 2018, arxiv.
• The Double Complex of a Blow-Up. 2018, arxiv, IMRN.

Recent Workshops and Seminars

• Geometry and TACoS, Recurring series of online mini-conferences, Co-organizer.
• Almost Complex Geometry, Mini-Workshop, October 2020, MFO. Participant.
• Rational Homotopy Theory and Geometry, Workshop, March 2020 (postponed indefinitely due to COVID-19), LMU Munich. Co-organizer.
• Bridging the Gap between Kaehler and non-Kaehler Complex Geometry, Workshop, October 2019, BIRS, Banff. Participant.