Mathematical Institute

Jonas Schnitzer

Postdoc

E-mail:	jonas.schnitzer@math.uni-freiburg.de
Telephone:	+49 (0)761 203 - 5564
Fax:	+49 (0)761 203 - 5541
Room:	342
Office hours:	by arrangement
Address:	Mathematisches Institut Abteilung Reine Mathematik Albert-Ludwigs-Universität Freiburg Ernst-Zermelo-Str. 1 79104 Freiburg i. Br. Germany

Teaching

• Erweiterung der Analysis (winter term 2020/2021)
• Algebraische Topologie II (Algebraic Topology II) (summer term 2020)
• Seminar: Topologie von Mannigfaltigkeiten (Seminar: Topology of Manifolds) (summer term 2020)
• Algebraische Topologie (Algebraic topology) (winter term 2019/2020)

Research Interest

My research interest is centered around Poisson geometry, understood in a broad sense, and its application to (mathematical) physics. Specifically, I work on semi-local models of poisson-related geometries, such as Jacobi bundles and Dirac structures, quantization of Poisson manifolds and the interplay of (semi-)local approximations and quantization. Moreover, I am interested in symmetries in Poisson geometry as well as reduction theory combined with quantizations.

Publications and preprints

1. The Strong Homotopy Structure of Poisson Reduction, with C.Esposito, A.Kraft, arXiv
2. Characteristic (Fedosov-)class of a twist constructed by Drinfel’d , Lett. Math. Phys. (2020) arXiv, journal
3. Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures, arXiv
4. Weakly Regular Jacobi Structures and Generalized Contact Bundles Ann. Global Anal. Geom. 56, 221–244 (2019) arXiv, journal
5. The local Structure of generalized contact bundles, with L.Vitagliano, Int. Math. Res. Not. (IMRN) (2019) arXiv, journal
6. A Universal Construction of Universal Deformation Formulas, Drinfel'd Twists and their Positivity, with C. Esposito, S. Waldmann, Pacific J. Math. 219 (2), 319-358 (2017) arXiv, journal