Mathematical Institute

Dr. Jonas Schnitzer

Postdoc

E-mail:	firstname.lastname[at]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

Education

I did my undergraduate eductation at the University of Würzburg, where I recieved my B.Sc. (2010-2014, thesis supervisor: Knut Hüper) and my M.Sc. (2014-2016, thesis advisor: Stefan Waldmann). I revied my Ph.D. under the supervision of Luca Vitagliano at the University of Salerno (IT). Here you can find my thesis. You can find my full CV here.

Research Interest

I am a post doc at the differential geometry group at the mathematical institute of the university of Freiburg. 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.

Teaching

• Topology (summer term 2023)
• Seminar: Geometric Mechanics (summer term 2023)
• Poisson geometry and deformation quantization (winter term 2022/2023)
• Calculus II (summer term 2022)
• Proseminar: Universal Properties (summer term 2022)
• Seminar: Funktional Analysis and Geometry (winter term 2021/2022)
• Calculus I (winter term 2021/2022)
• Functional analysis (summer term 2021)
• Spezialvorlesung: Mannigfaltigkeiten (summer term 2021)
• 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)

Conferences

• Higher structures in deformation theory, Aug/Sept 2022
• GEOQUANT 2021, Aug 2021

Preprints

1. An Introduction to L_∞-Algebras and their Homotopy Theory, with A.Kraft, arXiv
2. The Strong Homotopy Structure of BRST Reduction, with C.Esposito, A.Kraft, arXiv
3. The Homotopy Class of twisted L_∞-morphisms, with A.Kraft, accepted in Homology, Homotopy and Applications arXiv

Publications

1. Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures, Math. Z. (2023) arXiv, journal
2. Weak Dual Pairs in Dirac-Jacobi Geometry, with A.G.Tortorella, Commun. Contemp. Math., online ready (2022) arXiv, journal
3. The Strong Homotopy Structure of Poisson Reduction, with C.Esposito, A.Kraft, J. Noncommutative Geom. 16(3), 927-966 (2022) arXiv, journal
4. Characteristic (Fedosov-)class of a twist constructed by Drinfel’d , Lett. Math. Phys. 110, 2353–2361 (2020) arXiv, journal
5. Weakly Regular Jacobi Structures and Generalized Contact Bundles Ann. Global Anal. Geom. 56, 221–244 (2019) arXiv, journal
6. The local Structure of generalized contact bundles, with L.Vitagliano, Int. Math. Res. Not. (IMRN) 20 , 6871–6925 (2020) arXiv, journal
7. 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