Valter Moretti's Curriculum Vitae


Full Professor of Mathematical Physics
Head of the Doctoral School in Mathematics of the University of Trento

Head of the departmental Research Group of Mathematical Physics and Geometric Methods in Physics
Head of the local research group on Mathematical Methods for Physics BELL at TIFPA-INFN

         

Graduation and Academic Positions of Valter Moretti


2015. (December) In charge as Full Professor of Mathematical Physics.
2013. Qualification of Full Professor of Mathematical Physics.
2005. Associate Professor of Mathematical Physics  (tenure position) at the Faculty of Science (Department of Mathematics) of the University of Trento.
2000. Assistant Professor of Mathematical Physics at the Faculty of Science (Department of Mathematics) of the University of Trento.
2000. Research fellow ("Assegno di ricerca") in Differential Geometry  at the Department of Mathematics of Trento University to make research in Application of Differential Geometry to QFT  
         in curved spacetime and General Relativity.

1999. Grant  by the national project "Young Researchers" by the Italian Research Ministery to start a scientific collaboration with Prof. B.S. Kay of the Department of Mathematics of the 
         University of York (UK). I spent some months there.

1998. Post Doctoral fellow in Differential Geometry at the Department of Mathematics of Trento University to make research in mathematical aspects of QFT in curved spacetime (global
         analysis, differential geometry, Lorentzian geometry
)
.

1997Research fellow in Theoretical Physics at the ECT*(European Centre for Theoretical Studies in Nuclear Physics and Related Areas) to make research in theoretical aspects of  QFT in 
         curved spacetime
.

1996. Ph.D graduation in Theoretical Physics  with a written thesis (advisor Prof. Luciano Vanzo) concerning some aspects of QFT in curved or nontrivial manifolds.
1993. Fellowship from the Italian Ministry of the Scientific Research and a Ph.D. student position at the Department of Physics of the University of Trento where I studied, in particular, several
         mathematical and physical aspects of
Quantum Field Theory in curved spacetime.

1993. Graduation in Physics "Magna cum Laude" at the University of Genova with a written thesis in Theoretical Physics concerning some problems involved in the presence of "instantons" in
         quantum theories, nonperturbative terms and large perturbative orders. (advisor: Prof.  Ken-ichi Konishi). I studied in particular: General Relativity , Functional Analysis , Mathematical
         Physics
and Quantum Field Theory in Minkowski spacetime.

Research Topics

Mathematical Foundations of  Quantum Theories and Quantum Field Theory in Curved Spacetime,
Applications of Operator Algebras, Functional Analysis and Global Analysis to Quantum Theories, 
Mathematical Methods for Physics.  
      

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 (Mathematicsabout 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)

Post-doctoral Research Tutoring

2003  Tutor  for a research contract (Dr. N. Pinamonti), Dipartimento di Matematica Universita' di Trento
2004-2006 Tutor  for a three-year 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.
2005-2006 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. 
2007-2008 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)
2013-2015  Tutor, with R. Brunetti, of a
post doctoral fellow ( Assegno di Ricerca: Dr I. Khavkine) funded by PRIN 2012
2014-2016  Tutor of a post doctoral fellow on Quantum Mechanics, Quantum Information and Quantum Cryptography (Dr. D. Pastorello)
2017-2019  Tutor of a post doctoral fellow on Quantum Mechanics and Quantum Information (Dr. D. Pastorello) funded by Fondazione Caritro.

Edititorial activities

         
Editor of International Journal of Geometric Methods in Modern Physics (World Scientific)
          Associate Editor of Frontiers in Mathematical Physics
  (Frontiers Media S.A) up to November 2015

Organization of scientific activities and events

        
2006  Organizer of the Graduate school  Topics in  Operator Algebras and  Non commutative Geometry  20-26 March 2006,  Department of Mathematics
2006  Italian Research Ministry approved and funded Brunetti's and my scientific project concerning a three-year  position (equivalent to an associate professor position) in my department for Dr. Romeo Brunetti  (Hamburg University) within the national project "Rientro dei Cervelli".
2008-2009 Trento local scientific coordinator of the National Project (PRIN 2007) Operator Algebras and Applications (Nationally dircted by R. Longo)
2008  In collaboration with R. Brunetti. International doctorate course on quantum fuield theory in curved  spacetime, Lecturer:  prof S. Hollands (Cardiff University)
2009  In collaboration with R. Brunetti. Successful proposal to CIRM  for a visiting professor position  for Prof.   C.J. Fewster  (York University) The project was partially supported by the  PRIN  2007 Algebre di Operatori ed Applicazioni.
2012-2015 Trento local scientific coordinator of the National Project PRIN Operator Algebras, Non commutative Geometry and Quantum Field Theory  (Nationally  dircted by R. Longo)
2014  International Conference "Operator and geometric analysis on quantum theory" Levico Terme 15-19 September 2014, Organizers S.Alberverio, R.Longo, V.Moretti, M.Spreafico
from 2015
Head of the departmental Research Group of Mathematical Physics and Geometric Methods in Physics

from 2015 Head of the doctoral school in Mathematics of the University of Trento
from 2016 Head of the local research group on Mathematical Methods for Physics BELL at TIFPA-INFN
from 2017 Representative of Department of Mathematics in the interdipartimental project Q@TN  (on quantum science and technology)
2017  International Workshop  Quantum Physics and  Geometry Levico Terme July 2017 Organizers S.Ballico, A. Bernardi, I. Carusotto, S. Mazzucchi, V.Moretti


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 Springer-Verlag, DE),
Referee of Reviews in Mathematical Physics  (by World Scientific Publishing),
Referee of Letters in Mathematical Physics   (by Springer-Verlag, 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 Springer-Verlag)
Referee of Annals of Physics  (by Academic Press, USA);
Referee of Entropy (by MDPI Publishing, Switzerland);
Referee of European Physical Journal Plus  (by Springer-Verlag, DE);
Referee of Foundations of Physics (by Springer Netherlands);
Referee of General Relativity and Gravitation  (by Springer-Verlag, 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 Springer-Verlag, 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),

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.

Member and secretary of the Panel for the assignation of PhD degree in Mathematics of the University of Bologna, 2005.
Invited referee for the assessment of scientific activities of a Junior Professor of the University of Goettingen, 2007.
Invited external examiner for the PhD graduation exam (B.S. Kay internal examiner), Dept. of Mathematics, University of York, UK, 2008.
Referee for
the assessment of national Italian research projects, 2008.
Member of the examiner panel for the admission to the Doctoral School in Mathematics of Trento University, 2008.
Invited external referee of a PhD thesis (together with K. Fredenhagen and R.M. Wald), II Institute of Theoretical Physics, University of Hamburg, DE, 2010.
Referee for the assessment of national Italian research projects, 2011.
Invited Referee for the assessment of national research projects of Romania, 2011.
Memeber of the editorial board of Frontiers in Physics, Mathematical physics (from 2013)
Invited external examiner for the PhD graduation exam, Dept. of Mathematics, University of York, UK, 2014 (declined)
Invited external referee of a PhD thesis  University of Genova, 2015.
Invited external referee of a PhD thesis  University of Pavia, 2015.
Member of the selection panel for a researcher position at the
University of Genova, 2015.
Invited external referee of a PhD thesis in Mtahematics University of Milano,  2016.
Member of the selection panel for a Researcher (type A) at the University of Genova. Department of Mathematics, 2015
Member of the selection panel for a Post Doctoral Fellow (Assegno di Ricerca) at the University of Milano. Department of Mathematics, 2016
Member of the selection panel for a Full Professor at the University of Genova. Department of Mathematics, 2017
Member of the selection panel for a Associate Professor at the University of Roma Tor Vergata. Department of Mathematics, 2017
Member of the selection panel for a Researcher (type A) at the University of Verona. Department of Mathematics, 2018
Member of the selection panel for a Researcher (type B) at the University of Genova. Department of Mathematics, 2018


Memberships
Member of the international network  Local Quantum Physics Crossroads
Member of the International Society on General Relativity and Gravitation
Member of the International Association of Mathematical Physics
Member of the American Mathematical Society (up to 2009)
Member of the SIGRAV (Italian Society of General Relativity and Gravitation).

Member of the GNFM (Mathematical Physics National Group), of the National Institute for High Mathematics  "Francesco Severi".
Associate to the INFN (Istituto Nazionale di Fisica Nucleare).

Participation in selected recent national and international scientific meetings and seminars

°Invitation at the the international symposium "Geometrical and Algebraic Aspects of Quantum Physics", on the occasion of R. Haag 80th birthday, Munchen,   October 2002.
°Invitation at the international symposium "Perspectives in Quantum Field Theory" on the occasion of D. Buchholz' 60th birthday, Goettingen, June 2004.
°Invited plenary seminar at the Assemblea Scientifica Nazionale del INdAM-Gruppo Nazionale per la Fisica Matematica, Montecatini Terme, 28 October 2004
°Invited talk  at the national meeting "Problemi Attuali di Fisica Teorica"  March 2005, IIASS "E.R.Caianiello" - Vietri sul Mare (Italy), on "Recenti risultati in teoria dei campi quantistici su orizzonti di Killing"
°Invited plenary talk at the XVII SIGRAV Italian National Conference on General Relativity and Gravitation, Torino, September 4-7, 2006
°Colloquium held at the University of Hamburg, on the occasion of Klaus Fredenhagen's sixtieth birthday. 7 December 2007
°Invited plenary talk at the International Workshop "The Manifold Geometries of Quantum Field Theory", Haussdorff Center of Mathematics - Max Planck Institute for Mathematics, Bonn,June  30th - July 4, 2008 (organizers: Sergio Albeverio, Hanno Gottschalk, Matilde Marcolli)
°Official invitation at the ESI Program "Operator Algebras and Conformal Field Theory" (organized by Y. Kawahigashi, R. Longo, K.-H. Rehren and J. Yngvason), E. Schroedinger Institute, Vienna,  August - December 2008.
°Invitation at the Workshop "Quantum Spacetime and Noncommutative Geometry" Rome "La Sapienza", September 29 - October 4, 2008
°Invited plenary talk at the International conference "Algebraic Quantum Field Theory - the first 50 years" July 29-31, 2009, Courant Research Center, University of GoettingenSatellite conference to the International Conference on Mathematical Physics,
°Official invitation at the ESI Program "Quantum field theory on curved space-times and curved target-spaces" (organized by M. Gaberdiel, S. Hollands, V. Schomerus), E. Schroedinger Institute, Vienna, March - April 2010.
°Invited plenary talk at the NITHeP International Workshop "Quantum Field Theory on Curved Spacetime - From the Algebraic Approach to Local Covariance" Durban, South Africa, August  23 - 27, 2010
°Invited plenary talk at the International Workshop "Foundational Aspects of Cosmology" 16 -18  February 2011,  II. Institut für Theoretische Physik, Hamburg.
°Invited plenary talk at the International Workshop "Modern Trends in Algebraic Quantum Field Theory" 14-16th  September 2011, University of Pavia (fostered by the  DAAD under the programme "Diaolghi Italo-Tedeschi")
°Invited plenary talk at the Bayrischzell Workshop 2012 - Noncommutativity and Physics: General Relativity and Quantum Geometry Bayrischzell, Germany, May 25-28 2012
°Invited talk at the XX SIGRAV Italian National Conference on General Relativity and Gravitation, Napoli, October 22-26, 2012
°Invited plenary talk for the Mathematical Physics section at the DPG-Frühjahrstagung JENA 13 Jena, 25 February - 1 March 2013
°Invitation at the workshop "New Crossroad between Mathematics and Field Theory", Oberwolfach (Germany) 21st to the 27th  July 2013

°Invited plenary speaker °Summer School 2014 - 16/06/2014-04/07/2014 - Institut Fourier Grenoble Asymptotic Analysis in General Relativity

°Official invitation at the Erwin Schroedinger Institute (ESI) in Vienna from the 19th to the 23rd of May 2014 on occasion of the scientific meeting: "
Algebraic Quantum Field Theory: Its status and its future"
°Invited plenary speaker at the XXIII International Fall Workshop on Geometry and Physics, Granada 2014
°Official invitation at the ESI Program "Modern Theory of Wave Equations"(organized by C.Guillarmou (ENS Paris), W. Müller (U Bonn), A.Strohmaier (Loughborough   U), A.Vasy (Stanford U),  E. Schroedinger Institute, Vienna, July-September 2015.
°Invited talk  at the SISSA Febbruary 2015.
°Invited talk at the Fourteenth Marcel Grossmann Meeting - MG14 section QFT in curved spacetime, University of Rome "La Sapienza" - Rome, July 12-18, 2015
°Invited Lecturer (International PhD school associated to the workshop)  at the XXIV International Fall Workshop on Geometry and Physics, Saragoza 2015
°Invitation to the INFN workshop Fundamental problems of quantum physics, Milano 16 June 2017
°Invitation to the International Meeting "Non regular spacetime geometry", Florence  19-22 June  2017 (organized by P.T. Chruściel, J.Grant, M. Kunzinger,E. Minguzzi)


Lecturing 

1998-1999 Lecturer An introduction to QFT in curved spacetime (PhD  Math) Trento University
2000-2001 Lecturer Continuum Mechanics (undergrad.Mathematics) Trento University
2001-2002 Lecturer Continuum Mechanics (undergrad.Mathematics) Trento University
2000-2001 Lecturer Fuctional Analysis for Quantum Mechanics (reading course, PhD Math)   Trento University
2001-2002 Lecturer Operator Algebras for Quantum Mechanics (reading course, PhD Math Trento University
2002-2003 Lecturer Continuum Mechanics (undergrad.Math., Master Math., Master Phys., PhD Math. Trento University
2002-2003 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys. Trento University
2002-2003 Lecturer Geometric structure of Special Relativity (reading course, PhD Math. Trento University
2003-2004 Lecturer Mathematical structure of Quantum Mechanics and Spectral Theory in Hilbert Spaces (PhD Math. Trento University
2004-2005 Lecturer Continuum Mechanics (undergrad.Math., Master Math., Master Phys., PhD Math. Trento University
2004-2005 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys. Trento University
2005-2006 Lecturer Mathematical Physics I (undergrad.Mathematics Trento University
2005-2006 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University
2005-2006 Lecturer Mathematical Physics II (undergrad.Mathematics Trento University
2006-2007 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys. Trento University
2006-2007 Lecturer Analytic Mechanics (undergrad.Physics) Trento University
2006-2007 Lecturer Geometrical Methods in Quantum Relativistic Theories (Master Math., Master Phys., PhD Math. Trento University
Jan   2007 Lecturer A short introductory course on QFT in curved spacetime (PhD Physics)  Florence University
2007-2008 Lecturer Mathematical Physics I (undergrad.Mathematics Trento University
2007-2008 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University
2007-2008 Lecturer Mathematical Physics II (undergrad.Mathematics Trento University
2008-2009 Lecturer Geometrical Methods in Mathematical Physics (Master Math. Master Phys. Trento University
2008-2009 Lecturer Analytic Mechanics (undergrad.Physics) Trento University
2008-2009 Lecturer Geometrical Methods in Quantum Relativistic Theories (Master Math., Master Phys., PhD Math. Trento University
2009-2010 Lecturer Foundations of Mathematical Physics  (undergrad.Mathematics Trento University
2009-2010 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University
2010-2011 Lecturer Analytic Mechanics (undergrad.Physics) Trento University
2010-2011 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math. Trento University
2011-2012 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2011-2012 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University
2012-2013 Lecturer Analytic Mechanics (undergrad.Physics) Trento University
2012-2013 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University
2013-2014 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2013-2014 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University
2014-2015 Lecturer Analytic Mechanics (undergrad.Physics) Trento University
2015-2016 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2015-2016 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University
2016-2017 Lecturer Analytic Mechanics (undergrad.Physics) Trento University
2016-2017 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2017-2018 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2017-2018 Lecturer Mathematical Physics (Master Math. Master Phys., PhD Phys.) Trento University


Thesis Supervision
1998-1999 advisor for a graduation thesis in Physics concerning "Proper time diagrams in Special Relativity".
1999-2000 advisor for a graduation thesis in Physics concerning "Renormalization by means of zeta-function theory and Schwinger decaying of vacuum state".
2001-2002 co-advisor for a graduation thesis in Mathematics concerning  "Geodesic metrics in metric spaces ".
2002-2003 advisor for a first-level thesis in Physics concerning  "Flatness properties of spacetime in General Relativity".
2003-2004 advisor for a graduation thesis in Physics concerning  "QFT in the local algebraic approach in the presence of event horizons".
2007-2008 advisor for a first-level thesis in Mathematics concerning  topics on Mathematical Foundations of General Relativity.
2008-2009 advisor for a first-level thesis in Physics concerning  singularity theorems in General Relativity.
2009-2010 advisor for a first-level thesis in Mathematics positive mass theorem in general relativity
2009-2010 advisor for a first-level thesis in Mathematics concerning  noncommutative geometry
2009-2010 advisor for a first-level thesis in Physics concerning  the cosmic censureship theorem
2010-2011 advisor for a first-level thesis in Physics concerning  relativistic issues
2010-2011 advisor for a first-level thesis in Physics concerning  realtivistic issues and the Dirac-Lorentz equation
2010-2011 advisor for a second-level (Master) thesis in Physics concerning  mathematical foundations of quantum mechanics
2010-2011 advisor for a second-level thesis (Master) in Physics concerning  QFT in curved spacetime
2010-2011 advisor for a second-level thesis (Master) in Physics concerning  Loop Quantum Gravity
2011-2012 advisor for a second-level thesis (Master) in Mathematics concerning  mathematical foundations of quantum mechanics
2011-2012 advisor for a first-level thesis in Physics concerning  mathematical foundations of quantum mechanics
2011-2012 advisor for a first-level thesis in Physics concerning  relativistic issues
2012-2013 advisor for a second-level thesis (Master) in Physics concerning QFT in curved spacetime
2013-2014 advisor for a second-level (Master) thesis in Physics concerning mathematical foundations of quantum mechanics
2013-2014 advisor for a second-level thesis (Master) in Physics concerning QFT in curved spacetime

2013-2014 advisor for a first-level thesis in Physics concerning  relativistic issues
2013-2014 advisor for a first-level thesis in Physics concerning  relativistic issues
2013-2014 advisor for a first-level thesis in Physics concerning  relativistic issues
2014-2015 advisor for a second-level thesis (Master) in Physics concerning QM
2014-2015 advisor for a second-level thesis (Master) in Physics concerning QM
2014-2015 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2014-2015 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2014-2015 advisor for a first-level thesis in Physics concerning  relativistic issues
2014-2015 advisor for a second-level thesis (Master) in Mathematics concerning QM
2014-2015 advisor for a second-level thesis (Master) in Physics concerning QM
2014-2015 advisor for a second-level thesis (Master) in Physics concerning QM
2015-2016 advisor for a first-level thesis in Physics concerning  relativistic issues
2016-2017 advisor for a first-level thesis in Physics concerning  mechanical statistical issues

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 Some selected publications  (here is the whole list)

 Books

           V. Moretti
Spectral Theory and Quantum Mechanics:  Mathematical Structure of Quantum Theories, Symmetries and introduction to the Algebraic Formulation
           (English, 2nd Revised and Enlarged edition) 900 pages
           Springer 2018, I
SBN 978-3-319-70705-1

               C.Dappiaggi,
V. Moretti, N.Pinamonti: Hadamard States from Light-Like Hypersurfaces
           (English) 105 pages
          
Springer 2017, ISBN 978-3-319-64342-7

           V. MorettiSpectral Theory and Quantum Mechanics with an introduction to the Algebraic Formulation
           (English) 752 pages
           Springer 2012, I
SBN 978-88-470-2834-0
              review of the book by MAA Reviews

       
          
V. MorettiSpectral Theory and Quantum Mechanics, operators in Hilbert spaces.
           (Italian) 704 pages
           Springer 2010,
ISBN:978-88-470-1610-1 
            review of the book by Zentralblatt MATH 
      
           A. Bytsenko, G. Cognola,  E. Elizalde, V. Moretti and S. Zerbini:  Analytic Aspects of
Quantum Fields. 350 pages
           World Scientific Publishing, 2003,  ISBN:981-238-364-6
               
review of the book by Zentralblatt MATH

in Advances in Theoretical and Mathematical Physics

          C. Dappiaggi, V. Moretti and N. Pinamonti: Rigorous contruction and Hadamard property of the Unruh  
          state in Schwarzschild spacetime.

                 
Adv. Theor. Math. Phys. 15, vol 2, 355-448  (2011) 92 pages

in Annales Henri Poincare'

         V. Moretti and D. Pastorello: Generalized Complex Spherical Harmonics, Frame Functions, and Gleason
         Theorem. arXiv:1205.4504
        
Ann. Henri Poincaré 14 (2013 DOI:10.1007/s00023-012-0220-x  9 pages

         E. Annigoni and V. Moretti: Mass operator and dynamical implementation of mass superselection rule
        
Ann. Henri Poincaré 14 (2013) 893–924 DOI:10.1007/s00023-012-0197-5  32 pages

        
R. Brunetti, L. Franceschini , V. Moretti : Topological features of massive bosons on two dimensional    
         Einstein space-time.
        
Ann. Henri Poincaré 10, 1027-1073  (2009).  DOI 10.1007/s00023-009-0007-x  46 pages

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, 581-620,  (2016)  34 pages

V. Moretti
and N. Pinamonti: State independence for tunneling processes through black hole horizons.
Commun. Math. Phys. 309 295-311 (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 out-states 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 BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence
Commun. Math. Phys. 268, 726 (2006).
 
30 pages

V. Moretti Comments on the stress-energy tensor operator in curved spacetime,
Commun. Math. Phys. 232, 189 (2003).  33 pages

V. Moretti : Proof of the symmetry of the off-diagonal Hadamard/Seeley-deWitt'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 off-diagonal heat-kernel and Hadamard's expansion coefficients in general smoothRiemannian manifolds,
Commun. Math. Phys. 208, 283 (1999).  26 pages

V. Moretti : Local z-function techniques vs point-splitting procedures: a few rigorous risults,
Commun. Math. Phys. 201, 327 (1999).  37 pages


in   Letters in Math. Phys.

         
G. Collini, V. Moretti  and N. Pinamonti: Tunnelling black-hole radiation with phi^3 self-interaction: one-loop computation for Rindler Killing horizons
          Lett. Math. Phys. (2013)  
DOI:10.1007/s11005-013-0663-0   in print  14 pages

in
Reviews in Mathematical Physics

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