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. Recently, I got interested in graded (symplectic) geometry and its interplay with quantization.

Preprints

  1. Deformations of Lagrangian Q-submanifolds, with M.Cueca, arXiv
  2. The Homotopy Class of twisted L-morphisms, with A.Kraft, appears in Homology Homotopy Appl. arXiv

Publications

  1. An Introduction to L-Algebras and their Homotopy Theory for the working Mathematician, with A.Kraft, Rev. Math. Phys. (online ready) arXiv journal
  2. The Strong Homotopy Structure of BRST Reduction, with C.Esposito, A.Kraft, Pacific J. Math. 325 (1), 47–83 (2023) arXiv, journal
  3. Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures, Math. Z. 303 (74), (2023) arXiv, journal
  4. Weak Dual Pairs in Dirac-Jacobi Geometry, with A.G.Tortorella, Commun. Contemp. Math. 25 (8), 2250035 (2023) arXiv, journal
  5. The Strong Homotopy Structure of Poisson Reduction, with C.Esposito, A.Kraft, J. Noncommutative Geom. 16 (3), 927-966 (2022) arXiv, journal
  6. Characteristic (Fedosov-)class of a twist constructed by Drinfel’d, Lett. Math. Phys. 110, 2353–2361 (2020) arXiv, journal
  7. Weakly Regular Jacobi Structures and Generalized Contact Bundles Ann. Global Anal. Geom. 56, 221–244 (2019) arXiv, journal
  8. The local Structure of generalized contact bundles, with L.Vitagliano, Int. Math. Res. Not. (IMRN) 20, 6871–6925 (2020) arXiv, journal
  9. 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

Conferences

Teaching

Current

Past Semesters

A list of past lectures and seminars can be found here.