Valter Moretti
Education 

MSc (Laurea) in Physics (Genova University) Phd in Theoretical Physics (Trento University)


Academic career and teaching activities 

2015. Full Professor of Mathematical Physics. Department of Mathematics of the University of Trento.
Ph.D thesis supervision
2006  2009 Advisor for a PhD thesis in Mathematical Physics (Mathematics) about topics in quantum field theories in curved spacetime (student: L. Franceschini)
2012  2015 Advisor for a PhD thesis in Mathematical Physics (Mathematics) about topics in quantum field theories in curved spacetime (student: D. Pastorello) 2014  2017 Advisor for a PhD thesis in Mathematical Physics (Mathematics) about topics in mathematical foundations of quantum mechanics (student: M.Oppio) 2014  2017 Advisor for a PhD thesis in Mathematical Physics (Physics) about topics in quantum field theories in curved spacetime (student: A.Melati) 2018  2021 Advisor for a PhD thesis in Mathematical Physics (Mathematics) (student: C. van de Ven, H2020MSCACOFUND2015)
Postdoctoral Research Tutoring
2003 Tutor for a research contract (Dr. N. Pinamonti), Dipartimento di Matematica Universita' di Trento.
20042006 Tutor for a threeyear post doctoral fellowship (Dr. N. Pinamonti) funded by Provincia Autonoma di Trento and INdAM (Italian National Institute for High Mathematics). The project involves the university of York (UK) and the University of Hamburg. 20052006 Tutor for a post doctoral fellowship (assegno di ricerca for Dr D. Fioravanti) funded by PRIN 2004 Classical, quantum, stochastic systems with an infinite number of degrees of freedom local interdepartmental research group of Trento. 20072008 Tutor for a post doctoral fellowship (Dr. C. Dappiaggi) funded by INdAM (Italian National Institute for High Mathematics) (declined since Dr. Dappiaggi declined the fellowship in favour of a von Humboldt grant to be spent in Hamburg) 20132015 Tutor, with R. Brunetti, of a post doctoral fellow ( Assegno di Ricerca: Dr I. Khavkine) funded by PRIN 2012 20142016 Tutor of a post doctoral fellow on Quantum Mechanics, Quantum Information and Quantum Cryptography (Dr. D. Pastorello) 20172019 Tutor of a post doctoral fellow on Quantum Mechanics and Quantum Information (Dr. D. Pastorello) funded by Fondazione Caritro. 20182019 Tutor of a post doctoral fellow on Quantum Field Theory (Dr. N.Drago).
Edititorial activities
Organization of scientific activities and events
Participation in / coordination of Nationally and Internationally funded research projects and networks
20082009 Trento local scientific coordinator of the National Project (PRIN 2007) Operator Algebras and Applications (Nationally dircted by R. Longo)
20122015 Trento local scientific coordinator of the National Project PRIN Operator Algebras, Non commutative Geometry and Quantum Field Theory (Nationally dircted by R. Longo) 20152018 Trento Coordinator of INdAM Doctoral Programme in Mathematics and/or Applications (H2020MSCACOFUND2015) 20182021 Supervisor of a PhD student funded by H2020MSCACOFUND2015 20182021 Participant in the QRANGE (Quantum Random Number Generators: cheaper, faster and more secure) H2020FETFLAG20182020 Scientificadministrative duties
from 2015 Head of the departmental Research Group of Mathematical Physics and Geometric Methods in Physics
from 2016 Head of the local research group on Mathematical Methods for Physics BELL at TIFPAINFN from November 2015 to November 2018 Head of the doctoral school in Mathematics of the University of Trento from November 2018 Member of Executive committee of the doctoral school in Mathematics of the University of Trento from November 2018 Member of Department's Council Lecturing
19981999 Lecturer An introduction to QFT in curved spacetime (PhD Math) Trento University
20002001 Lecturer Continuum Mechanics (undergrad.Mathematics) Trento University 20012002 Lecturer Continuum Mechanics (undergrad.Mathematics) Trento University 20002001 Lecturer Fuctional Analysis for Quantum Mechanics (reading course, PhD Math) Trento University 20012002 Lecturer Operator Algebras for Quantum Mechanics (reading course, PhD Math) Trento University 20022003 Lecturer Continuum Mechanics (undergrad.Math., Master Math., Master Phys., PhD Math.) Trento University 20022003 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys.) Trento University 20022003 Lecturer Geometric structure of Special Relativity (reading course, PhD Math.) Trento University 20032004 Lecturer Mathematical structure of Quantum Mechanics and Spectral Theory in Hilbert Spaces (PhD Math.) Trento University 20042005 Lecturer Continuum Mechanics (undergrad.Math., Master Math., Master Phys., PhD Math.) Trento University 20042005 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys.) Trento University 20052006 Lecturer Mathematical Physics I (undergrad.Mathematics) Trento University 20052006 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University 20052006 Lecturer Mathematical Physics II (undergrad.Mathematics) Trento University 20062007 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys.) Trento University 20062007 Lecturer Analytic Mechanics (undergrad.Physics) Trento University 20062007 Lecturer Geometrical Methods in Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University 2007 Lecturer A short introductory course on QFT in curved spacetime (PhD Physics) Florence University 20072008 Lecturer Mathematical Physics I (undergrad.Mathematics) Trento University 20072008 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University 20072008 Lecturer Mathematical Physics II (undergrad.Mathematics) Trento University 20082009 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys.) Trento University 20082009 Lecturer Analytic Mechanics (undergrad.Physics) Trento University 20082009 Lecturer Geometrical Methods in Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University 20092010 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University 20092010 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University 20102011 Lecturer Analytic Mechanics (undergrad.Physics) Trento University 20102011 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University 20112012 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University 20112012 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University 20122013 Lecturer Analytic Mechanics (undergrad.Physics) Trento University 20122013 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University 20132014 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University 20132014 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University 20142015 Lecturer Analytic Mechanics (undergrad.Physics) Trento University 20152016 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University 20152016 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University 20162017 Lecturer Analytic Mechanics (undergrad.Physics) Trento University 20162017 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University 20172018 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University 20172018 Lecturer Mathematical Physics: quantum relativistic theories (Master Math. Master Phys., PhD Phys.) Trento University 20172018 Lecturer Analytic Mechanics (undergrad.Mathematics) Trento University 20172018 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University 20182019 Lecturer Analytic Mechanics (undergrad.Mathematics) Trento University 20182019 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University Thesis Supervision
19981999 advisor for a graduation thesis in Physics concerning "Proper time diagrams in Special Relativity".
19992000 advisor for a graduation thesis in Physics concerning "Renormalization by means of zetafunction theory and Schwinger decaying of vacuum state". 20012002 coadvisor for a graduation thesis in Mathematics concerning "Geodesic metrics in metric spaces ". 20022003 advisor for a firstlevel thesis in Physics concerning "Flatness properties of spacetime in General Relativity". 20032004 advisor for a graduation thesis in Physics concerning "QFT in the local algebraic approach in the presence of event horizons". 20072008 advisor for a firstlevel thesis in Mathematics concerning topics on Mathematical Foundations of General Relativity. 20082009 advisor for a firstlevel thesis in Physics concerning singularity theorems in General Relativity. 20092010 advisor for a firstlevel thesis in Mathematics positive mass theorem in general relativity 20092010 advisor for a firstlevel thesis in Mathematics concerning noncommutative geometry 20092010 advisor for a firstlevel thesis in Physics concerning the cosmic censureship theorem 20102011 advisor for a firstlevel thesis in Physics concerning relativistic issues 20102011 advisor for a firstlevel thesis in Physics concerning realtivistic issues and the DiracLorentz equation 20102011 advisor for a secondlevel (Master) thesis in Physics concerning mathematical foundations of quantum mechanics 20102011 advisor for a secondlevel thesis (Master) in Physics concerning QFT in curved spacetime 20102011 advisor for a secondlevel thesis (Master) in Physics concerning Loop Quantum Gravity 20112012 advisor for a secondlevel thesis (Master) in Mathematics concerning mathematical foundations of quantum mechanics 20112012 advisor for a firstlevel thesis in Physics concerning mathematical foundations of quantum mechanics 20112012 advisor for a firstlevel thesis in Physics concerning relativistic issues 20122013 advisor for a secondlevel thesis (Master) in Physics concerning QFT in curved spacetime 20132014 advisor for a secondlevel (Master) thesis in Physics concerning mathematical foundations of quantum mechanics 20132014 advisor for a secondlevel thesis (Master) in Physics concerning QFT in curved spacetime 20132014 advisor for a firstlevel thesis in Physics concerning relativistic issues 20132014 advisor for a firstlevel thesis in Physics concerning relativistic issues 20132014 advisor for a firstlevel thesis in Physics concerning relativistic issues 20142015 advisor for a secondlevel thesis (Master) in Physics concerning QM 20142015 advisor for a secondlevel thesis (Master) in Physics concerning QM 20142015 advisor for a firstlevel thesis in Mathematics concerning relativistic issues 20142015 advisor for a firstlevel thesis in Mathematics concerning relativistic issues 20142015 advisor for a firstlevel thesis in Physics concerning relativistic issues 20142015 advisor for a secondlevel thesis (Master) in Mathematics concerning QM 20142015 advisor for a secondlevel thesis (Master) in Physics concerning QM 20142015 advisor for a secondlevel thesis (Master) in Physics concerning QM 20152016 advisor for a firstlevel thesis in Physics concerning relativistic issues 20162017 advisor for a firstlevel thesis in Physics concerning mechanical statistical issues 20172018 advisor for a firstlevel thesis in Physics concerning relativistic issues 20172018 advisor for a firstlevel thesis in Physics concerning quantum issues 20182019 advisor for a secondlevel thesis (Master) in Physics concerning QM 

Research interests 

Mathematical Foundations of Quantum Theories and Quantum Field Theory in Curved Spacetime, 

Research work 

Some selected publications (here is the whole list) Books
in Communications in Mathematical Physics I.Khavkine and V. Moretti: Analytic Dependence is an Unnecessary Requirement in Renormalization of Locally Covariant QFT
Commun. Math. Phys. 344, 581620, (2016) 34 pages V. Moretti and N. Pinamonti: State independence for tunneling processes through black hole horizons. Commun. Math. Phys. 309 295311 (2012). C. Dappiaggi, V. Moretti and N. Pinamonti: Cosmological horizons and reconstruction of quantum field theories. Commun. Math. Phys. 285, 1129, (2009). 32 pages V. Moretti: Quantum outstates states holographically induced by asymptotic flatness: Invariance under spacetime symmetries, energy positivity and Hadamard property. Commun. Math. Phys. 279, 31 (2008). 44 pages V. Moretti: Uniqueness theorems for BMSinvariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulkboundary observable algebra correspondence Commun. Math. Phys. 268, 726 (2006). 30 pages V. Moretti: Comments on the stressenergy tensor operator in curved spacetime, Commun. Math. Phys. 232, 189 (2003). 33 pages V. Moretti : Proof of the symmetry of the offdiagonal Hadamard/SeeleydeWitt's coefficients in smooth Lorentzian manifolds by a local Wick rotation, Commun. Math. Phys. 212, 165 (2000). 25 pages V. Moretti : Proof of the symmetry of the offdiagonal heatkernel and Hadamard's expansion coefficients in general smoothRiemannian manifolds, Commun. Math. Phys. 208, 283 (1999). 26 pages V. Moretti : Local zfunction techniques vs pointsplitting procedures: a few rigorous risults, Commun. Math. Phys. 201, 327 (1999). 37 pages
R. Ghiloni, V. Moretti and A. Perotti: Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures
Rev. Math. Phys. 29 (2017) 1750034 DOI: 10.1142/S0129055X17500349 V. Moretti and M. Oppio: Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry Rev. Math. Phys. 17 (2017) 1750021 DOI: 10.1142/S0129055X17500210 83 pages R. Ghiloni, V. Moretti and A. Perotti: Continuous slice functional calculus in quaternionic Hilbert spaces Rev. Math. Phys. 25, (2013) 1350006, DOI:10.1142/S0129055X13500062 83 pages C. Dappiaggi, V. Moretti and N. Pinamonti: Rigorous Steps towards Holography in Asymptotically Flat Spacetimes Rev. Math. Phys. 18, 349 (2006). 67 pages V. Moretti: Aspects of noncommutative Lorentzian geometry for globally hyperbolic spacetimes Rev. Math. Phys. 15, 1171 (2003). 47 pages


Memberships in societies and scientific committees 

Member of the international network Local Quantum Physics Crossroads Participation in Scientific Selection Panels
Member and secretary of the examiner panel for the admission to the Doctoral School in Mathematics of Trento University, 2001. 

Conferences and lectures 

°Invitation at the the international symposium "Geometrical and Algebraic Aspects of Quantum Physics", on the occasion of R. Haag 80th birthday, Munchen, October 2002. 

Other work 

Peer refereeing activity
Reviewer for Mathematical Reviews (by the American Mathematical Society) up to 2009;
Reviewer for Zentralblatt MATH (by the European Mathematical Society and Springer) up to 2009; Book Referee for the Cambridge University Press Referee of Communications in Mathematical Physics (by SpringerVerlag, DE), Referee of Reviews in Mathematical Physics (by World Scientific Publishing), Referee of Letters in Mathematical Physics (by SpringerVerlag, DE); Referee of Analysis and PDE (by Mathematical Sciences Publishing, USA); Referee of Journal of Mathematical Physics (by American Institute of Physics), Referee of Journal of Physics A: Mathematical and Theoretical (by the Institute of Physics Publishing, UK) Referee of Classical and Quantum Gravity (by the Institute of Physics Publishing, UK); Referee of Acta Physica Slovaca (by Institute of Physics, SAS, Slovakia) Referee of Central European Journal of Physics (by Central European Science Publisher and SpringerVerlag) Referee of Annals of Physics (by Academic Press, USA); Referee of Annalen der Physik (by Weley, USA); Referee of Entropy (by MDPI Publishing, Switzerland); Referee of European Physical Journal Plus (by SpringerVerlag, DE); Referee of Foundations of Physics (by Springer Netherlands); Referee of General Relativity and Gravitation (by SpringerVerlag, DE); Referee of International Journal of Mathematics and Mathematical Sciences (by Hindawi Publishing Corporation); Referee of International Journal of Modern Physics A (by World Scientific Publishing); Referee of Journal of Geometry and Physics (by Elsevier Amsterdam), Referee of Mathematische Annalen (by SpringerVerlag, DE), Referee of Nuclear Physics B (by Elsevier Amsterdam); Referee of Nuovo Cimento B: General Physics, relativity, astronomy, mathematical physics and methods (by Italian Physical Society) Referee of Physica Acta (by The Royal Swedish Academy of Sciences); Referee of Physical Review D (by the American Physical Society, USA); Referee of Physical Review Letters (by the American Physical Society, USA); Referee of Symmetry, Integrability and Geometry: Methods and Applications (by The European Mathematical Information Service), 

Notes 

Full Professor of Mathematical Physicis lecture notes http://www.science.unitn.it/~moretti/dispense.html 