Valter Moretti's Curriculum Vitae


Full Professor of Mathematical Physics at the Department of Mathematics of the University of Trento
Head of the departmental Research Group of Mathematical Physics and Analytical and  Geometrical 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).
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 (Summa 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.  
      
H index  2020

         18 WoS
        
21 Inspire
        
24 Google Scholar


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)
 2018 - 2021  Advisor for a PhD thesis in Mathematical Physics (Mathematics) (student: C. van de Ven, H2020-MSCA-COFUND-2015)
 2019 - 2022  Advisor for a PhD thesis in Mathematical Physics (Mathematics) about topics in QFT (student: D. Volpe)

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.
2018-2019  Tutor of a post doctoral fellow on Quantum Field Theory (Dr. N.Drago).
2019-2020  Tutor of a post doctoral fellow on Quantum Field Theory (Dr. S.Murro).

Edititorial activities


          Member of the editorial board of International Journal of Geometric Methods in Modern Physics
          Member of the editorial board of Note di Matematica
          Associate Editor of Frontiers in Mathematical Physics  up to November 2015

Organization and participation in scientific activities and events including invited advanced lecturing

        

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".
2007  Invited lecturer at the PhD course in Physics of Florence University
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.
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
2015  Invited lecturer at the International PhD school associated to the workshop, XXIV International Fall Workshop on Geometry and Physics, Saragoza 2015

2017  International Workshop  Quantum Physics and  Geometry Levico Terme July 2017 Organizers S.Ballico, A. Bernardi, I. Carusotto, S. Mazzucchi, V.Moretti
2021  Invited lecturer at IUSS (Scuola Universitaria Superiore Pavia) "Corso Ordinario per classe di Scienze e Tecnologia, V anno"


Participation in /  coordination  of Nationally and Internationally funded research projects and networks


2008-2009 Trento local scientific coordinator of the National Project (PRIN 2007) Operator Algebras and Applications (Nationally dircted by R. Longo)
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)
2015-2018 Trento Coordinator of INdAM Doctoral Programme in Mathematics and/or Applications (H2020-MSCA-COFUND-2015)
from 2016  Head of the local research group on Mathematical Methods for Physics of  BELL at TIFPA funded by the INFN (Italian National Institute for Nuclear Physics)
2018-2021 Supervisor of a PhD student funded by H2020-MSCA-COFUND-2015
2018-2020 Participant in the  QRANGE (Quantum Random Number Generators: cheaper, faster and more secure)  H2020-FETFLAG-2018-2020
2019-2021 India-Trento Programme of Advanced Research ITPAR phase IV project
 

Patents (Brevetti)


“APPARATO DI PRODUZIONE DI FOTONI COMPRENDENTI STATI DI SINGOLO FOTONE IN CORRELAZIONE QUANTISTICA” 
            depositato in data  16 Marzo 2020 con codice 102020000005521.
            Authors: S. Mazzucchi, V. Moretti, M.Pasini, D. Pastorello, L. Pavesi
            UNIVERSITA' DEGLI STUDI DI TRENTO




Scientific-administrative duties

        

from 2015  Head of the departmental Research Group of Mathematical Physics and Geometric Methods in Physics
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 



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 Annales H. Poincaré  (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 Annalen der Physik  (by Weley, 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 Publishing, USA);
Referee of Proceedings of the Royal Society A  (by the Royal Society, UK);
Referee of Rocky Mountain Journal of Mathematics  (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.
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
President of the examiner panel for the admission to the Doctoral School in Mathematics of Trento University (special selection funded by the National Project "Dipartimenti di Eccellenza"), 2018.
President of the selection panel for a Researcher (type A) at the University of Genova. Department of Mathematics, 2019
Member of a Deutsche Forschungsgemeinschaft (German Research Foundation) panel for establishment  of  Research Training Groups. 2019
Reviewer for workshop proposals at the Erwin Schrödinger Institute Vienna (ESI)2019
Reviewer for national research projects for Austrian Science Fund (FWF). 2019
President of the selection panel for a Researcher (type B) at the University of Bergamo. Department of Mathematics, 2020
Member of the selection panel for a Researcher (type B) at the University of Genova. Department of Mathematics, 2020


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 national and international scientific meetings and invited talks during the last 20 years


°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)
°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,
°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)
°Invited talk at the international conference "Quantum fields, scattering and spacetime horizons: mathematical challenges" Ecole de Physique des Houches the 22-25 May 2018.
°Invitation to the international conference "AQFT: Where operator algebra meets microlocal analysis" 4th to the 8th of June 2018 at the Palazzone, a stately home (managed by the Scuola Normale Superiore) located in Cortona (Tuscany, Italy).
°Invited plenary talk at Trails in Quantum Mechanics and Surroundings - September 27-29, 2018 (Progetto di Eccellenza del Dipartimento di Scienze Matematiche “G. L. Lagrange” )
°Invited speaker at the Workshop Ipercomplesso TN018  Trento University, September 2018
°Invited discussant at the conference Progress and Visions in Quantum Theory in View of Gravity, Leipzig,  Max Planck Institute for Mathematics in the Sciences, October 01-05, 2018
*Invited talk at the University of Leipzig (Institute of theorethical Physlcs) 24 June 2019
*Invited talk at the Higher School of Economics - Department of Pure Mathematics - Nizhny Novgorod, Russia 17 October 2019
*Invited talk at the Faculty of Mathematics and Mechanics - Moscow State University, Russia, 21 October 2019
*Invited talk at Operator algebras in quantum field theory and quantum probability December 4-7, 2019 Department of Mathematics, University of Rome Tor Vergata
*Invited talk at the University of Regensburg - Mathematics, 16 January 2020
*Invited talk at the University of Hagen - Mathematics, 12 January 2021

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
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: quantum relativistic theories (Master Math. Master Phys., PhD Phys.) Trento University
2017-2018 Lecturer Analytic Mechanics (undergrad.Mathematics) Trento University
2017-2018 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University
2018-2019 Lecturer Analytic Mechanics (undergrad.Mathematics) Trento University
2018-2019 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2019-2020 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) Trento University
2019-2020 Lecturer Mathematical Physics of Quantum Relativistic Theories (Master Math., Master Phys., PhD Math.) Trento University
2020-2021 Lecturer Analytic Mechanics (undergrad Physics) Trento University
2020-2021 Lecturer Foundations of Mathematical Physics (undergrad.Mathematics) 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
2017-2018 advisor for a first-level thesis in Physics concerning  relativistic issues
2017-2018 advisor for a first-level thesis in Physics concerning  quantum issues
2018-2019 advisor for a second-level thesis (Master) in Physics concerning QM
2018-2019 advisor for a first-level thesis (Master) in Mathematics concerning Analytical Mechanics/Statistical Mechanics
2018-2019 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2018-2019 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2018-2019 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2019-2020 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2019-2020 advisor for a first-level thesis in Mathematics concerning  relativistic issues
2019-2020 advisor for a first-level thesis in Physics concerning  relativistic issues
2019-2020 advisor for a first-level thesis in Physics concerning  relativistic issues
2020-2021 advisor for a first-level thesis in Physics concerning  relativistic issues
2020-2021 advisor for a second-level thesis (Master) in Mathatics concerning  relativistic issues
2020-2021 advisor for a second-level thesis (Master) in Physics concerning  quantum relativistic issues


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 Some selected publications  (here is the whole list)

 Books
      
           M.Asorey, E.Ercolessi,
V. Moretti: From Classical Mechanics to Quantum Field Theory. A Tutorial 
           256 pages
           World Scientific Publishing 2020 ISBN 978-981-121-048-8

           V. Moretti
Fundamental Mathematical Structures of Quantum Theory Spectral Theory: Foundational Issues, Symmetries, Algebraic Formulation
           337 pages
           Springer 2019, I
SBN 978-3-030-18345-5

           V. Moretti
Spectral Theory and Quantum Mechanics:  Mathematical Structure of Quantum Theories: Symmetries and introduction to the Algebraic Formulation
           (2nd Revised and Enlarged edition) 950 pages
           Springer 2018, I
SBN 978-3-319-70705-1

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


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 Poincaré

         
V.Moretti and M. Oppio, The correct formulation of Gleason's theorem in quaternionic  Hilbert spaces
          arXiv:1803.06882 
         Ann. Henri Poincaré 19 (2018), 3321-3355
37 pages

         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 Mathematical Physics

         
N.Drago, S. Mazzucchi,
V. Moretti  : An operational construction of the sum of two non-commuting observables in quantum theory and related constructions
          Lett. Math. Phys, (2020)
DOI: 10.1007/s11005-020-01332-7  42 pages

         
N.Drago
, V. Moretti  The notion of observable and the moment problem for *-algebras and their GNS representations
         
Lett. Math. Phys. (2020)    DOI: 10.1007/s11005-020-01277-x 48 pages


         
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. 104 (2014) 217-232  
DOI:10.1007/s11005-013-0663-0   14 pages

in
Reviews in Mathematical Physics

K. Landsman, V. Moretti, C.J.F. van de Ven:  A Strict Deformation Quantization Map on the state space of M_k(C) and the Classical Limit of the Curie-Weiss model
Rev. Math. Phys. 32 (2020) 2050031  DOI: 10.1142/S0129055X20500312  54 pages

V. Moretti  and M. Oppio, Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one
Rev. Math. Phys. 31, (2019) 1950013  DOI: 10.1142/S0129055X19500132 71 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