A short-version CV of Valter Moretti (for a more extended version in Italian click here )



Graduation and Academic Positions of Valter Moretti
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:

Rigorous Quantum Field Theory in Curved Spacetime,
Mathematical Aspects of General Relativity,
Applications of Operator Algebras, Functional Analysis and Global Analysis to Quantum Field Theory, 
Mathematical (analytic and geometric) Methods for Physics.

 Preprints 
recently submitted for publication

       
V. Moretti and D. Pastorello: Generalized Complex Spherical Harmonics, Frame Functions, and Gleason
        Theorem. UTM 752


        E. Annigoni and
V. Moretti: Mass operator and dynamical implementation of mass superselection rule
        UTM 751 arXiv:1205.1372


       
Thomas-Paul Hack and
V. Moretti: On the Stress-Energy Tensor of Quantum Fields in Curved Spacetimes - Comparison of Different Regularization   
        Schemes and Symmetry of the Hadamard/Seeley-DeWitt Coefficients
        arXiv:1202.5107

 Selected publications  (here is the whole list)

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)

in Communications in Mathematical Physics

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 Annales Henri Poincare'

          
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 Journal of Mathematical Physics

C.Dappiaggi, V. Moretti, N. Pinamonti:  Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property. 
J. Math. Phys. 50, 062304  (2009). 39 pages  

in Reviews in Mathematical Physics

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
       
in  Physical Review D

          V. Moretti: Direct  z-function approach and renormalization of one-loop stress tensor in curved spacetimes,
          Phys. Rev.D 56, 7797 (1997). 23 pages

in 
Entropy

          V. Moretti and N. Pinamonti Black Hole Horizons and Thermodynamics: A Quantum Approach.
          
Entropy 12, 1833-1854 (2010). 21 pages


Books
      

          
V. Moretti:  Spectral Theory and Quantum Mechanics with an introduction to the Algebraic Formulation of Quantum Theories
           815 pages
           Springer 2012 (in press)

        
          
V. MorettiSpectral Theory and Quantum Mechanics, operators in Hilbert spaces. 704 pages (in Italian)
           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 


Ph.D thesis supervision
 2006 - 2009  Advisor for a PhD thesis in Mathematical Physics about topics in quantum field theories in curved spacetime (student: L. Franceschini)
 2012 - 2015  Advisor for a PhD thesis in Mathematical Physics about topics in quantum field theories in curved spacetime (student: D. Pastorello)

Post-doctoral Research Tutoring

2003
         Tutor  for a research contract (Dr. N. Pinamonti), Dipartimento di Matematica Universita' di Trento
Jan 2004 - Dec 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 (DE). 
Jun 2005 - Dec 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. 
Dec 2007 - Dec 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) 

Organization of scientific activities and events

2006 
Organizer of the Graduate school  Topics in  Operator Algebras and  Non commutative Geometry
         lectures by G. Landi  and R.Verch, 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".
         In 2009 the position has been extended to four years.
2008-2009 Trento local scientific coordinator of the National Project (PRIN 2007) Operator Algebras and Applications (Nationally dircted by R. Longo)
2008  July-August.  In collaboration with R. Brunetti. International doctorate course on quantum fuield theory in curved spacetime, Lecturer:  prof S. Hollands (Cardiff   
         University)

2009  AprilIn 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.
2010-2012 Application as the Trento local scientific coordinator of the National Project (PRIN 2009) Operator Algebras and Quantum Field Theory (Nationally dircted by
         R. Longo)


Peer refereeing activity
Reviewer for  Mathematical Reviews (by the American Mathematical Society);
Reviewer for  Zentralblatt MATH (by the European Mathematical Society and Springer) up to 2009;
Book Referee for the Cambridge University  Press
Referee of Annals of Physics  (by Academic Press, USA);
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 Classical and Quantum Gravity  (by the Institute of Physics Publishing, UK);
Referee of Communications in Mathematical Physics  (by Springer-Verlag, DE),
Referee of Entropy (by MDPI Publishing, Switzerland),
Referee of the 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 the International Journal of Mathematics and Mathematical Sciences  (by Hindawi Publishing Corporation);
Referee of the International Journal of Modern Physics A  (by World Scientific Publishing);
Referee of Letters in Mathematical Physics   (by Springer-Verlag, DE);
Referee of Journal of Mathematical Physics  (by American Institute of Physics),
Referee of the Journal of Physics A: Mathematical and Theoretical  (by the Institute of Physics Publishing, UK);
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 Reviews in Mathematical Physics  (by World Scientific Publishing),
Referee of Symmetry, Integrability and Geometry: Methods and Applications (by The European Mathematical Information Service),

Participation in Scientific 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 i 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.
Member of the Editorial Board of ISRN Mathematical Physics journal, Hindawi Publishing Corporation, 2011

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 Goettingen, Satellite 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 talk at the XX SIGRAV Italian National Conference on General Relativity and Gravitation, Napoli, September 22-26, 2012
°Invited plenary talk at the Bayrischzell Workshop 2012 - Noncommutativity and Physics: General Relativity and Quantum Geometry Bayrischzell, Germany, May 25-28 2012

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

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


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