Dr. Jonas Schnitzer


Telephone:+49 (0)761 203 - 5564
Fax:+49 (0)761 203 - 5541
Office hours:by arrangement
Address: Mathematisches Institut
Abteilung Reine Mathematik
Albert-Ludwigs-Universität Freiburg
Ernst-Zermelo-Str. 1
79104 Freiburg i. Br.


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. 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. Weak Dual Pairs in Dirac-Jacobi Geometry, with A.G.Tortorella, to appear in Commun. Contemp. Math. arXiv journal
  4. The Homotopy Class of twisted L-morphisms, with A.Kraft, arXiv
  5. The Strong Homotopy Structure of Poisson Reduction, with C.Esposito, A.Kraft, to appear in J. Noncommutative Geom. arXiv journal
  6. Characteristic (Fedosov-)class of a twist constructed by Drinfel’d , Lett. Math. Phys. 110, 2353–2361 (2020) arXiv, journal
  7. Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures, arXiv
  8. Weakly Regular Jacobi Structures and Generalized Contact Bundles Ann. Global Anal. Geom. 56, 221–244 (2019) arXiv, journal
  9. The local Structure of generalized contact bundles, with L.Vitagliano, Int. Math. Res. Not. (IMRN) 20 , 6871–6925 (2020) arXiv, journal
  10. 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