Simone Murro

Since 2022
University of Genova

Assistant Professor in the group of Mathematical Physics
2020-2022
University of Paris-Saclay

DFG Research Fellow in the in the group of Numerical Analysis and Partial Differential Equations
2019-2020
University of Trento

Postdoc in the group of Mathematical Physics .
2017-2019
University of Freiburg

Postdoc in the group of Differential Geometry.
2014-2017
University of Regensburg

PhD in Mathematics funded by DFG Graduiertenkolleg "Curvature, Cycles, and Cohomology" under the supervision of Prof. Dr. Felix Finster and Prof. Dr. Claudio Dappiaggi

More information about me can be found in my curriculum vitae
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The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States

with G. Schmid -- Journal of London Mathematical Society (2024) vol 110 journal arxiv
The five gradients inequality on differentiable manifolds

joint work with S. Di Marino and E. Radici -- Journal de Mathématiques Pures et Appliquées (2024) vol 187: 294-328 journal arxiv
Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory

joint work with V. Moretti and D. Volpe -- Selecta Mathematica New Series (2023) vol 29: 56 journal arxiv
On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary

joint work with N. Ginoux -- Advances in Differential Equations (2022) vol 27, issue 7-8: 497-542 journal arxiv
On the uniqueness of invariant states

joint work with F. Bambozzi -- Advances in Mathematics (2021) vol 376: 107445 journal arxiv

ARXIV PREPRINT:

Noncommutative Gelfand Duality: the algebraic case

joint work with F. Bambozzi and M. Capoferri arxiv

The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States

with G. Schmid -- Journal of London Mathematical Society (2024) vol 110 journal arxiv
The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators

with V. Moretti and D. Volpe -- Annales Henrie Poincaré (2023) vol 24: 3055-3111 journal arxiv
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 journal arxiv
Møller operators and Hadamard states for Dirac fields with MIT boundary conditions

joint work with N. Drago and N. Ginoux -- Documenta Mathematica (2022) vol 27: 1693-1737 journal arxiv
The Fermionic Signature Operator in De Sitter Spacetime

with C.Dappiaggi, F. Finster and E. Radici -- Journal of Mathematical Analysis and Applications (2017) vol 117: 2433-2451 journal arxiv
A new class of Fermionic Projectors: Møller operators and mass oscillation properties

with N. Drago -- Letters in Mathematical Physics (2017) vol 454 issue 1: 385-411 journal arxiv
The Fermionic Signature Operator and Quantum States in Rindler Space-time

with F. Finster and C. Röken -- Journal of Mathematical Analysis and Applications (2020) vol 485, issue 2: 123808 journal arxiv
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 journal arxiv
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 journal arxiv

ARXIV PREPRINT:

Notions of Fermionic Entropies of a Causal Fermion System

with F. Finster, R. H. Jonsson, M. Lottner and A. Much arxiv
The fermionic entanglement entropy of causal diamonds in two-dimensional Minkowski space

with F. Finster, M. Lottner and A. Much arxiv
Wick rotation of linearized gravity in Gaussian time and Calderón projectors

joint work with C. Gérard and M. Wrochna arxiv

On boundary conditions for linearised Einstein’s equations

with M. Capoferri and G. Schmid -- Applied Mathematics Letters (2024) vol 158: 109210 journal arxiv
The five gradients inequality on differentiable manifolds

joint work with S. Di Marino and E. Radici -- Journal de Mathématiques Pures et Appliquées (2024) vol 187: 294-328 journal arxiv
On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary

with N. Drago and N. Ginoux -- Rendiconti Lincei Matematica e Applicazioni (2024) vol 34: 809-829 journal arxiv
Global and microlocal aspects of Dirac operators: propagators and Hadamard states

with M. Capoferri -- to appear on Advances in Differential Equations arxiv
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 journal arxiv
Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds

with D. Volpe -- Annals of Global Analysis and Applications (2021) vol 59: 1-25 journal arxiv
The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds

with N. Große -- Documenta Mathematica (2020) vol 25: 737-765 journal arxiv
Wavefront sets and polarizations on supermanifolds

with C. Dappiaggi, H. Gimperlein and A. Schenkel -- Journal of Mathematical Physics (2017) vol 58 issue 2: 023504 journal arxiv

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 journal arxiv
On the uniqueness of invariant states

with F. Bambozzi -- Advances in Mathematics (2021) vol 376: 107445 journal arxiv
Invariant states on noncommutative tori

with F. Bambozzi and N. Pinamonti -- International Mathematics Reserach Notices (2021) vol 2021, issue 5:3299-3313 journal arxiv
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 journal arxiv

ARXIV PREPRINT:

Noncommutative Gelfand Duality: the algebraic case

joint work with F. Bambozzi and M. Capoferri arxiv

List of publications
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On the construction of Hadamard states for linearized Einstein equations

“Seminar über Mathematische Physik”, University of Regensburg slides
Hadamard states for Maxwell fields via complete gauge fixing

“Seminar über Mathematische Physik”, University of Regensburg slides

“Heriot-Watt Analysis Seminar”, Maxwell Institute, Edinburgh slides

Conference: “Spectral Theory and Mathematical Relativity”, ESI Vienna slides
Paracausal deformations of Lorentzian metrics and their consequences in QFT

“Séminaire de Geometrie differentielle”, Institut Élie Cartan de Lorraine slides

On the Cauchy problem for Friedrichs systems on Lorentzian manifolds

“Quantum fields interacting with geometry” Institut Henri Poincare slides

“Forschungsseminar Differentialgeometrie” University of Potsdam slides

“Seminar über Mathematische Physik”, University of Regensburg slides
On the Cauchy problem for the Dirac operators on Lorentzian spin manifolds

Conference: “Journées nancéiennes de géométrie” Nancy slides

“Seminario di Fisica Matematica” University of Genova slides

A pathway to non-commutative Gelfand duality

Workshop: “An Invitation to Derived Geometry” slides
Is there a natural states for Abelian Chern-Simons theory?

“Seminario di Fisica Matematica” University of Roma 3 slides

“Seminario di Fisica Matematica” University of Genova slides

Workshop: “Foundational and structural aspects of gauge theories” slides
Invariant states on Weyl algebras for the action of the symplectic group

Conference: “Young Researchers Symposium at ICMP” slides

Workshop: “AQFT: where operator algebra meets microlocal analysis” slides

Classes:

Mathematical Physics

for Engineering (2022-2024)
Analytical Mechanics
for Mathematician (2022-2024) and for Physicists (2024)

Students:

Caterina Tavelli (2023): "Il sistema di Lorenz: un modello matematico per la convezione atmosferica"
Chiara Poggi (2023): Stima del Wave Front Set per campi di Klein-Gordon

Classes:

Mathematical Methods in General Relativity

for Mathematician and for Physicists (2022-2024)
Models for Continuous Systems and Applications
for Mathematician (2024)

Students:

Matteo Vassallo (2024)

Classes:

Mathematical Quantum Field Theory

for Mathematician and for Physicists (2022)

Students:

Gabriel Schmid (2022-- ongoing)
Daniele Volpe (2019 -- 2023): "Paracausal deformations, Møller operators and Hadamard states in CCR AQFT"

SIMONE MURRO

Dipartimento di Matematica

Università di Genova

Via Dodecaneso 35,

16146 Genova (Italy)

Office: 837

Phone: 010 3536837

email: murro@dima.unige.it

Federico Bambozzi University of Padova
Claudio Dappiaggi University of Pavia
Felix Finster University of Regensburg
Nicolas Ginoux University of Lorraine
Emanuela Radici University of l'Aquila

Matteo Capoferri Heriot-Watt University
Nicolò Drago University of Genoa
Christian Gérard University of Paris-Saclay
Valter Moretti University of Trento
Gabriel Schmid Univerisity of Genoa

ABOUT ME

University of Genova

University of Paris-Saclay

University of Trento

University of Freiburg

University of Regensburg

PUBLICATIONS

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