CV

PERSONAL DATA

- Place and date of birth: Roma, Italy, July 21, 1970.

- Family status: married with two sons (born in 2000 and in 2006).


RESEARCH INTERESTS

- Operator Algebras, Noncommutative Geometry, Quantum Field Theory.


EDUCATION AND CAREER

- June 1995: "Laurea con lode" in Physics,  University of Rome "La Sapienza", thesis supervisor prof. Sergio Doplicher.

- December 1999: "Dottorato di Ricerca" (Ph.D.) in  Mathematics, University of Rome "La Sapienza", advisor prof. Sergio Doplicher.

- April 2000: Postdoctoral fellow at the Institute of  Mathematics of the University of Münster.  

- January 2001 - August 2002: Postdoctoral fellow at the  Department of Mathematics of the University of Rome 3.

- September 2002 - August 2015: Researcher (Assistant Professor) in Mathematical Analysis at the University of Chieti-Pescara.

- February 2013: Qualification aux fonctions de Professeur des universités, Section 25, Mathématiques (French Qualification for University Professors in Mathematics).

- December 2013: Abilitazione scientifica nazionale alle funzioni di professore universitario di seconda fascia, settore concorsuale 01/A4 - Fisica Matematica (Italian Qualification for University Associate Professors in Mathematical Physics).

- September 2015 - Decembrer 2019: Associate Professor of Mathematical Analysis at the University of Chieti-Pescara. 

- From December 2019: Associate Professor of Mathematical Analysis at the University of Rome "Tor Vergata".

- January 2020: Abilitazione scientifica nazionale alle funzioni di professore universitario di prima fascia, settore concorsuale 01/A4 - Fisica matematica (Italian scientific qualification for University full professors in Mathematical physics).

- November 2023: Abilitazione scientifica nazionale alle funzioni di professore universitario di prima fascia, settore concorsuale 01/A3 - Analisi matematica, probabilità e statistica matematica (Italian scientific qualification for University full professors in Mathematical analysis, probability and  statistics).


MEMBERSHIPS

- Member of the research group “Operator Algebras in Italy http://www.mat.uniroma2.it/~mp/OA/home.html, from 1996.

- Member  of the “Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni” (GNAMPA -INdAM), section “Analisi funzionale e armonica”, from 2001.

- Member of the international forum "Local Quantum Physics Crossroad: An international platform for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics"  (LQP) http://www.lqp2.org/about, from 2002.

-  Member of the International Association of Mathematical Physics (IAMP), from 2014.

- Member of the Unione Matematica Italiana (UMI), from 2024.


INVITED SPEAKER AT CONFERENCES (ACCEPTED INVITATIONS)

- "Joint Meeting AMS - UMI" (session: Operator Algebras), Pisa, June 2002.   

- "Index Theorems and Modularity in Operator Algebras", Oberwolfach, June 2002.

- "Conformal Field Theory. An Introduction", Rome, March 2003.

- "Infinite dimensional Lie algebras and local von Neumann algebras in CFT", Banff, May 2006.

- "International Congress on Mathematical Physics" (session: Operator Algebras), Rio de Janeiro, August 2006. 

- "Joint-International Meeting UMI-DMV" (session: Operator Algebras), Perugia, June 2007.  

- "Operator Algebras Conformal Field Theory and Related Topics", Vienna, September 2008.

- "Two Days in Quantum Field Theory", Roma - Frascati, January 2011.

- "Conference on von Neumann Algebras and Related Topics", Kyoto, January 2012.

- "New trends in algebraic quantum field theory", Frascati, September 2012. 

- "Noncommutative geometry and applications to physics", Milano, December 2012.

- "Mathematics and quantum physics", Roma, July 2013. 

- Kavli IPMU-FMSP Workshop "Supersymmetry in Physics and Mathematics", Kashiwa, March 2014.

- "Noncommutative geometry and applications", Frascati, June 2014.

- "Subfactors and conformal field theory", Oberwolfach, March 2015.

- "Advances in noncommutative geometry", Paris, April 2015.

- "14th Marcel Grossmann Meeting" (session: Operator Algebras and Quantum Field Theory), Rome, July 2015.

- "11th French-Italian Meeting on Spectral Triples in Noncommutative Geometry", Varese, May 2016.

- "Operator Algebras and Quantum Field Theory", Frascati, June 2016.

- "Recent Mathematical Developments in Quantum Field Theory", Oberwolfach, July 2016.

- "Subfactors and Mathematical Physics", Sanya, December 2016.

- "DPG Spring Meeting 2017" (session: MP10 - Theoretical and Mathematical Physics,  Quantum Field Theory II), Bremen, March 2017

- "Subfactors, K-Theory and Conformal Field Theory", Cambridge, June 2017. 

- "Quantum Physics meets Mathematics", Hamburg, December 2017.

- "AQFT: where operator algebra meets microlocal analysis", Cortona, June 2018. 

- "Physics and mathematics of quantum field theory", Banff, July-August 2018.

- "Vertex algebras and infinite-dimensional Lie algebras", Split, November 2018.

- "Representation theory XVI", Dubrovnik, June 2019.

- "Subfactors and applications", Oberwolfach, October-November 2019.

- "Operator algebras in quantum field theory and quantum probability". Roma, December 2019.

- "Beyond Rationality ∞", Zeist, December 2019.

- "AQFTUK", Lancaster, February 2020. 

- "Subfactors, Vertex Operator Algebras, and Tensor Categories", Hangzhou (online), September 2021. 

-  "Operator Algebras and Mathematical Physics (Yasu Festa 60)", Tokyo, July 2023.

- "Joint Meeting AMS - UMI" (session: New Developments in infinite dimensional Lie algebras, vertex operator algebras and the Monster), Palermo, July 2024 (forthcoming).   


CONFERENCES CO-ORGANIZED

-  "Recent Advances in Operator Algebras. (On the occasion of the 60th birthday of Laszlo Zsido)", Roma, Novembre 2006.

-  "Where mathematics meets quantum physics}, a workshop on the occasion of Roberto Longo's 70th bithday", Roma,  June  2023.


RESEARCH VISITS

- Mathematical Research Institute of Oberwolfach: 23 - 29 June 2002. Invited research visit within the mini-workshop ``Index Theorems and Modularity in Operator Algebras''.

- University of Tokyo, Department of Mathematical Sciences: 6 - 19 October 2004. Invited research visit within the grants for "the Center of Exellence" supplied by the Japanese Government.   

- University of Tokyo, Department of Mathematical Sciences: 28 October - 10 November 2005. Invited research visit.

- Banff International Research Station for Mathematical Innovation and Discovery (BIRS): 6 - 20 May 2006. Invited research visit within the Focussed Research Group "Infinite dimensional Lie algebras and local von Neumann algebras in CFT". 

- Erwin Schrödinger International Institute for Mathematical  Physics (ESI) in Vienna: 7 - 20 September 2008, 30 November - 7 December 2008. Invited research visits within the program "Operator Algebras and Conformal Field Theory". 

- Erwin Schrödinger International Institute for Mathematical Physics (ESI) in Vienna: 11 - 17 April 2010. Invited research visit within the program "Quantum Field Theory on Curved Space-Times and Curved Target-Spaces".

- Harvard University, Departments of Mathematics and of Physics: 12 February - 5 March 2011.  Invited research visit within the ERC Advanced Grant "Operator algebras and conformal field theory". 

- Research Institute for Mathematical Sciences, Kyoto: 9 - 13 January 2012. Invited research visit within the program "Operator algebras and their applications". 

- Utrecht University, Department of Mathematics: 17 - 22 June 2013. Invited research visit.

- Kavli Institute for Physics and Mathematics of the Universe (IPMU), Kashiwa: 9 - 16 March 2014. Invited research visit within the workshop "Supersymmetry in Physics and Mathematics".

- Mathematical Research Institute of Oberwolfach: 22 - 28 March 2015. Invited research visit within the workshop "Subfactors and conformal field theory".

- Université Paris Diderot: 20 - 24 April 2015. Invited research visit within the conference "Advances in noncommutative geometry".

- University of Oxford, Mathematical Institute: 11-16 April 2016. Invited research visit. 

Riemann International School of Mathematics (RISM), Varese: 2-3 May 2016. Invited research visit within the "11th French-Italian Meeting on Spectral Triples in Noncommutative Geometry".

- Mathematical Research Institute of Oberwolfach: 24 - 30 July 2016. Invited research visit within the workshop "Recent mathematical developments in quantum field theory".

- Tsinghua Sanya International Mathematics Forum (TSIMF): 18 - 23 December 2016. Invited research visit within the workshop "Subfactors and mathematical physics".

- University of Bremen: 15-16 March 2017. Invited research visit within the "DPG Spring Meeting 2017". 

- Isaac Newton Institute for Mathematical Sciences: 12-16 June 2017. Invited research visit within the workshop "Subfactors, K-Theory and Conformal Field Theory"

- University of Hamburg: 8-9 December 2017. Invited research visit within the workshop "Quantum Physics meets Mathematics"

- Palazzone Cortona (Scuola Normale Superiore): 4-8 June 2018.  Invited research visit within the workshop:  "AQFT: where operator algebra meets microlocal analysis"

- Banff International Research Station for Mathematical Innovation and Discovery (BIRS): 29 July  - 3 August 2018. Invited research visit within the workshop "Physics and mathematics of quantum field theory".  

- University of Split: 22-24 November 2018. Invited research visit within the workshop "Vertex algebras and infinite-dimensional Lie algebras". 

- Simons Center for Geometry and Physics: 2-9 June 2019. Invited research visit within the program "Operator algebras nd quantum physics".

- Inter University Centre Dubrovnik (IUC): 24-29 June 2019. Invited research visit within the conference "Representation theory XVI".

- Mathematical Research Institute of Oberwolfach: 27 October - 2 November 2019. Invited research visit within the workshop "Subfactors and applications".

- Lancaster University, Department of Mathematics and Statistics: 19-21 February 2020. Invited research visit within the workshop "AQFTUK".

- University of Tokyo, Department of Mathematical Sciences: 24-28 July 2023. Invited resarch visit within the workshop  "Operator Algebras and Mathematical Physics (Yasu Festa 60)".


RESEARCH PROJECTS

- "Algebre di operatori, teoria quantistica dei campi e geometria non commutativa".             GNAMPA- INdAM research project 2002. 12 months. Team member.

- "Quantum Spaces - Noncommutative Geometry". EU Research Network. 42 months starting from June 2002. Team member.

- "Algebre di operatori, teoria dei campi e geometria non commutativa". GNAMPA (INdAM) research project 2005. 12 months. Team member.

-"Algebre di operatori ed approccio algebrico alla teoria quantistica dei campi". PRIN-MIUR 2005,  Area: 01 - Scienze matematiche e informatiche. 24 months. Team member.

- "Gruppo di Ricerca Europero Franco-Italiano in GEometria Non COmmutativa (GREFI-GENCO)". Research agreement between CNRS (France) and INdAM (Italy). 48+48+12 months starting from January 2007. Team member.

- "Noncommutative Geometry". EU Research Training Network. 48 months starting from June 2007. Team member.

- "Algebre di operatori e applicazioni". PRIN-MIUR 2007, Area: 01 - Scienze matematiche e informatiche. 24 months. Team member.

-"Operator Algebras and Conformal Field Theory". ERC Advanced Grant. 60 months starting from December 2008. Team member.  

-"Algebre di operatori, geometria non-commutativa e applicazioni". PRIN-MIUR 2010-2011, Area: 01 - Scienze matematiche e informatiche. 36 months. Team member.

- "Quantum Algebraic Structures and Models". ERC Advanced Grant. 60 months starting from December 2015. Team member.  

- "Operator Algebras and Infinite Quantum Systems".  GNAMPA- INdAM research project 2024. 12 months. Principal investigator.


PROFESSIONAL SERVICE

- Referee for Advances in Mathematics. 

- Referee for Annales Henri Poincaré.

- Referee for Annals of Mathematics.

- Referee for Atti del Seminario Matematico e Fisico dell'Università di Modena e Reggio Emilia.

- Referee for Communications in Mathematical Physics.

- Referee for Forum of Mathematics, Sigma.

- Referee for International Journal of Mathemaics

- Referee for International  Mathemaics Research Notices

- Referee for Inventiones Mathematicae.

- Referee for Journal of Mathematical Physics.

- Referee for Journal of the American Mathematical Society.

- Referee for Letters in Mathematical Physics. 

- Referee for Reviews in Mathematical Physics.

- Referee for Selecta Mathematica. 

- Referee for Transactions of the American Mathematical Society. 

- Referee for the Italian Ministry for Education, University and Research (MIUR).

- Referee for the Netherlands Organization of Scientific Research (NWO).

-Referee for the German Research Foundation (DFG).

- Reviewer for Mathematical Reviews (AMS).


TEACHING 

- 1997/1998: Exercises lessons for the course "Analisi Reale" (Real Analysis) at the Istituto Nazionale di Alta Matematica (INDAM).  (20 hours). 

-  1999/2000: Tutorial assistance for the course "Istituzioni di Matematiche 1" (first course on Calculus) at the Faculty of Sciences of the University of Rome "Tor Vergata". (20 hours).

- 1999/2000: Lessons within the course Istituzioni di Matematiche 1 (first course on Calculus) at the Faculty of Architecture of the University of Rome 3. (30 hours)

- From 2002/2003 to 2008/2009:  "Analisi matematica 2" (Mathematical Analysis 2) for the First level Degree Course in Information Technology and Economics at the faculty of Economics of the University of Chieti-Pescara. (~ 50 hours).

-  2003/2004: "Introduzione alla meccanica quantistica" (Introduction to quantum mechanics) for the first level Degree Course in Information Technology and Economics at the faculty of Economics of the University of Chieti-Pescara. (~ 10 hours).

-  From 2004/2005 to 2008/2009: "Matematica per l'Economia" (Mathematics for Economics) for the first level Degree Course in Information Technology and Economics at the faculty of Economics of the University of Chieti-Pescara. (~ 50 hours).

-  2009/2010: "Matematica generale" (first course on Calculus) for the first level Degree Course in Business and Administration at the faculty of Economics of the University of Chieti-Pescara. (~ 70 hours).

- 2010/2011: "Matematica generale" (first course on Calculus) for the first level Degree Course in Economics and Finance at the faculty of Economics of the University of Chieti-Pescara. (~ 90 hours).

- 2011/2012: "Laboratorio di calcolo delle probabilità" (Exercises and problems in probability theory) for the first level Degree Course in Economics and Finance at the faculty of Economics of the University of Chieti-Pescara. (~ 30 hours).

- 2011/2012: "Matematica finanziaria" (Financial Mathematics)  for the first level Degree Course in Economics and Commerce at the faculty of Economics of the University of Chieti-Pescara. (~ 60 hours).

-2012/2013: Sabbatical year.

- From 2013/2014 to 2015/2016: "Complementi di Analisi Matematica" (Complements of Mathematical Analysis) for the second level Degree Course in Economics and Commerce at the University of Chieti-Pescara. (~ 60 hours, ~ 25 hours in 2014/2015) .

- From 2013/2014 to 2017/2018: "Matematica generale" (first course on Calculus) for the first level Degree Course in Economics and Commerce at the University of Chieti-Pescara. (~ 80 hours). 

- From 2016/2017 to 2017-2018: "Processi stocastici" (Stochastic Processes) for the second level Degree Course in Economics and Commerce at the University of Chieti-Pescara. (~ 50 hours). 

- 2018/2019 "Analisi matematica" (Mathematical Analysis)  for the first level Degree Course in Economics and Commerce at the University of Chieti-Pescara. (~ 76 hours). 

- From 2018/2019 to 2019/2020: "Geometria per il Design" (Geometry for Design)  for the first level Degree Course in Design at the University of Chieti-Pescara. (~ 45 hours). 

-2019/2020 "Mathematical Analysis 1"   for the first level Degree Course in Engineering Sciences at the University of Rome "Tor Vergata". (~ 50 hours). 

Universit\`a di Roma {\it Tor Vergata}. 

2019/2020: Tutorial assistance for the course  "Geometria, I modulo" (first course in linear algebra)   for the first level Degree Course in Media sciences and technologyat the University of Rome "Tor Vergata". ( ~ 12 hours).

-2020/2021: "Analisi Matematica I" (Mathematical Analysis 1)  for the first level Degree Course in Building Engineering at the University of Rome "Tor Vergata". (~ 90 hours). 

-2020/2021: "Matematica 1" (Mathematics 1)  for the first level Degree Course in Material Sciences at the University of Rome "Tor Vergata". (~ 34 hours)

- From 2021/2022 to 2023/2024: "Analisi Matematica I" (Mathematical Analysis 1)  for the first level Degree Courses in Engineering at the University of Rome "Tor Vergata". ( ~ 120 hours ). 





Last modified 23 March  2024