"Mathematics is a game played according to certain simple rules
with meaningless marks on paper."
D. Hilbert
Publications
-
On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
(with N. Drago and N. Ginoux) to appear on Rendiconti Lincei Matematica e Applicazioni -
Global and microlocal aspects of Dirac operators: propagators and Hadamard states
(with M. Capoferri) to appear on Advances in Differential Equations -
The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators
(with V. Moretti and D. Volpe) - Annales Henri Poincaré (2023) vol 24: 3055-3111 -
Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory
(with V. Moretti and D. Volpe) - Selecta Mathematica New Series (2023) vol 29: 56 -
Møller operators and Hadamard states for Dirac fields with MIT boundary conditions
(with N. Drago and N. Ginoux) - Documenta Mathematica (2022) vol 27: 1693-1737 -
On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary
(with N. Ginoux) - Advances in Differential Equations (2022) vol 27, issue 7-8: 497-542 -
Injective tensor products in strict deformation quantization
(with C.J.F. van de Ven) - Mathematical Physics, Analysis and Geometry (2022) vol 25, issue 2: 2 -
Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds
(with D. Volpe) - Annals of Global Analysis and Geometry (2021) vol 59, issue 1: 1-25 -
On the uniqueness of invariant states
(with F. Bambozzi) - Advances in Mathematics (2021) vol 376: 107445 -
The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary
(with N. Große) - Documenta Mathematica (2020) vol 25: 737-765 -
The Fermionic Signature Operator in De Sitter Spacetime
(with C.Dappiaggi, F. Finster and E. Radici) - Journal of Mathematical Analysis and Applications (2020) vol 485, issue 2: 123808 - Invariant states on noncommutative tori
(with F. Bambozzi and N. Pinamonti) - International Mathematics Research Notices (2019) vol 2021 issue 5: 3299-3313 - A new class of Fermionic Projectors: Møller operators and mass oscillation properties
(with N. Drago) - Letters in Mathematical Physics (2017) vol 117 issue 12: 2433–2451 - The Fermionic Signature Operator and Quantum States in Rindler Space-time
(with F. Finster and C. Röken) - Journal of Mathematical Analysis and Applications (2017) vol 454 issue 1: 385-411 - Non-existence of natural states for Abelian Chern-Simons theory
(with C. Dappiaggi and A. Schenkel) - Journal of Geometry and Physics (2017) vol 116: 119-123 - Wavefront sets and polarizations on supermanifolds
(with C. Dappiaggi, H. Gimperlein and A. Schenkel) - Journal of Mathematical Physics (2017) vol 58 issue 2: 023504 - The Fermionic Projector in a Time-Dependent External Potential: Mass Oscillation Property and Hadamard States
(with F. Finster and C. Röken) - Journal of Mathematical Physics (2016) vol 57 issue 7: 072303 - Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states
(with M. Benini and C. Dappiaggi) - Journal of Mathematical Physics (2014) vol 55 issue 8: 082301
Pre-prints
-
The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States
(with G. Schmid) (2024) -
The five gradients inequality on differentiable manifolds
(with S. Di Marino and E. Radici) (2023) -
Wick rotation of linearized gravity in Gaussian time and Calderón projectors
(with C. Gérard and M. Wrochna) (2022) -
The Cauchy problem for the Lorentzian Dirac operator with APS boundary conditions
(with N. Drago and N. Große) (2021)
Thesis
- Quantum states on the algebra of Dirac fields: a functional analytic approach -- PhD thesis in Mathematics, University of Regensburg, (2017)
- Hadamard states for linearized gravity on asymptotically flat spacetimes -- Master thesis in Mathematical and Theoretical Physics, University of Pavia, (2013)