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
Deformations of Lagrangian Q-submanifolds,
with M.Cueca accepted in Adv. Math.,
arXiv
Publications
No-go theorems for r-matrices in symplectic geometry,
Commun. Anal. Mech.16 (3), 448-456 (2024)
journal
The Homotopy Class of twisted L∞-morphisms,
with A.Kraft, Homology Homotopy Appl. 26 (1), 201–227 (2024)
arXivjournal
An Introduction to L∞-Algebras and their Homotopy Theory for the working Mathematician,
with A.Kraft, Rev. Math. Phys.36 (01), 2330006(2024)
arXivjournal
The Strong Homotopy Structure of BRST Reduction,
with C.Esposito, A.Kraft, Pacific J. Math.325 (1), 47–83 (2023)
arXiv,
journal
Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures,
Math. Z.303 (74), (2023)
arXiv,
journal
Weak Dual Pairs in Dirac-Jacobi Geometry,
with A.G.Tortorella,
Commun. Contemp. Math.25 (8), 2250035 (2023)
arXiv,
journal
The Strong Homotopy Structure of Poisson Reduction,
with C.Esposito, A.Kraft,
J. Noncommutative Geom.16 (3), 927-966 (2022)
arXiv,
journal
Characteristic (Fedosov-)class of a twist constructed by Drinfel’d,
Lett. Math. Phys. 110, 2353–2361 (2020)
arXiv,
journal
Weakly Regular Jacobi Structures and Generalized Contact Bundles
Ann. Global Anal. Geom.56, 221–244 (2019)
arXiv,
journal
The local Structure of generalized contact bundles,
with L.Vitagliano,
Int. Math. Res. Not. (IMRN)20, 6871–6925 (2020)
arXiv,
journal
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
