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.
The Strong Homotopy Structure of BRST Reduction,
with C.Esposito, A.Kraft,
arXiv
Weak Dual Pairs in Dirac-Jacobi Geometry,
with A.G.Tortorella,
to appear in Commun. Contemp. Math.arXiv
The Homotopy Class of twisted L∞-morphisms,
with A.Kraft,
arXiv
The Strong Homotopy Structure of Poisson Reduction,
with C.Esposito, A.Kraft,
to appear in J. Noncommutative Geom.arXiv
Characteristic (Fedosov-)class of a twist constructed by Drinfel’d ,
Lett. Math. Phys. 110, 2353–2361 (2020)
arXiv,
journal
Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures,
arXiv
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
