Full Professor of Mathematical Physics at the Department of Mathematics of the University of Trento

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

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

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) .

1997. Research 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.

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, H2020-MSCA-COFUND-2015)

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).

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).

Associate Editor of Frontiers in Mathematical Physics (Frontiers Media S.A) up to November 2015

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

2015-2018 Trento Coordinator of INdAM Doctoral Programme in Mathematics and/or Applications (H2020-MSCA-COFUND-2015)

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

2015-2018 Trento Coordinator of INdAM Doctoral Programme in Mathematics and/or Applications (H2020-MSCA-COFUND-2015)

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

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).

Member of the International Association of Mathematical Physics

Member of the

Member of the

Member of the

Associate to the

°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 Goettingen, Satellite 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

°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 Goettingen, Satellite 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

°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: "

°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

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

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

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

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

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, ISBN 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. Moretti: Spectral Theory and Quantum Mechanics with an introduction to the Algebraic Formulation

(English) 752 pages

Springer 2012, ISBN 978-88-470-2834-0

review of the book by MAA Reviews

V. Moretti: Spectral 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:

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 M. Oppio, The correct formulation of Gleason's theorem in quaternionic Hilbert spaces

arXiv:1803.06882

Ann. Henri Poincaré 14 (2018) in print 37 pages

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

Theorem. arXiv:1205.4504

Ann. Henri Poincaré 14 (2013),1435-1443 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

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:

Commun. Math. Phys. 232, 189 (2003). 33 pages

V. Moretti :

Commun. Math. Phys. 212, 165 (2000). 25 pages

V. Moretti :

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

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,

V. Moretti: