**Curriculum**

### Personal details

Place of birth: | Roma, Italy |

Date of birth: | July 23rd, 1973 |

Nationality: | Italian |

### Education and Career

**October 2008 - present**

Researcher in Mathematical Analysis at the Mathematics Department of "Tor Vergata" University, Rome, Italy;

**January 2007 - September 2008**

Untenured researcher in Mathematical Analysis at the Scuola Normale Superiore, Pisa, Italy;

**September 2005-December 2006**

Postdoctoral fellow at the Istituto Nazionale di Alta Matematica "F. Severi", Rome, Italy;

**July 2005**

Postdoctoral fellow at the Institute of Theoretical Physics of the University of Goettingen, Germany;

**March - August 2004**

Postdoctoral fellow at the Mathematics Department of "Tor Vergata" University, Rome, Italy;

**September 2003 - February 2004**

Postdoctoral fellow at the Mathematics Department of "La Sapienza" University, Rome, Italy;

**May - June 2003**

Postdoctoral fellow at the Institute of Theoretical Physics of the University of Goettingen, Germany;

**February 2003**

PhD Degree in Mathematics, "La Sapienza" University, Rome, Italy, thesis supervisor Prof. S. Doplicher;

**September 1998**

Degree in Physics, full marks cum laude, "La Sapienza" University, Rome, Italy, thesis supervisor Prof. S. Doplicher;

**March 1995**

"Enrico Persico" scholarship in Physics, Accademia Nazionale dei Lincei.

### Research activity

My research activity concerns applications of Operator Algebras methods to Quantum Field Theory, and in particular the study of its small spacetime scale properties, in the framework of the algebraic approach to the Renormalization Group and to the scaling limit developed by D. Buchholz and R. Verch (1994). I'm also interested in models of Quantum Spacetime and their possible physical implications. Main results:

- construction, in terms of observables of the finite-scale theory, of a C* category equivalent to the superselection category of the scaling limit theory [Mor03];
- generalization of the scaling limit construction to Doplicher-Roberts charged fields nets [Mor02, DMV04];
- general analysis of short distance properties of superselection sectors, and of their preservation in the ultraviolet limit [DMV04];
- formulation of an intrinsic notion of charge confinement in Quantum Field Theory [Mor03, DMV07];
- construction of Quantum Field Theory models exhibiting superselection sectors with all the possible kinds of short distance behaviour [DMV06];
- proof of multiplicative renormalizability of Wightman fields associated to the net of local algebras and study of the scaling of their Operator Product Expansion [BDM09];
- study of the structure of scaling limit theories associated to generalized scaling limit states, in particular to dilation invariant states [BDM10];
- analysis of the behaviour of the scaling limit with respect to subsystems, and relations with the quantum Noether theorem [CM09];
- construction of Noether currents form local implementers of symmetries in free field models [MT10];
- analysis of the scaling limit in a class of two-dimensional integrable models [BLM11];
- generalization to curved spacetime of the DFR analysis on operational limitations to localizability and study of backreaction on quantum spacetime [DMP12];
- existence of bijection between classes of morphisms of the scaling limit and suitable classe of asymptotic morphisms of the underlying theory [CM12].

### Organization of Conferences

**September 2012**

Workshop "New Trends in Algebraic
Quantum Field Theory", LNF-INFN, Frascati,

with G. Ruzzi.

with G. Ruzzi.

**February 2012**

Workshop "Planckland -
Quantum Geometry and Matter", SISSA, Trieste,

with C. Dappiaggi, G. Piacitelli, N. Pinamonti.

with C. Dappiaggi, G. Piacitelli, N. Pinamonti.

**September 2010**

Conference "Seminal Interactions between Mathematics and
Physics",

Accademia Nazionale dei Lincei, Roma,

with A. De Sole, A. Giuliani, D. Guido, R. Longo.

Accademia Nazionale dei Lincei, Roma,

with A. De Sole, A. Giuliani, D. Guido, R. Longo.

**September 2009**

Conference "Noncommutative Geometry and Quantum Physics",

Vietri sul Mare, Italy,

with D. Guido, G. Landi, F. Lizzi, G. Marmo, G. Ruzzi, G. Vilasi.

Vietri sul Mare, Italy,

with D. Guido, G. Landi, F. Lizzi, G. Marmo, G. Ruzzi, G. Vilasi.

**September - October 2008**

Conference "Quantum Spacetime and Noncommutative Geometry",

"La Sapienza" University, Rome, Italy,

with S. Doplicher, D. Guido, R. Longo, G. Piacitelli.

"La Sapienza" University, Rome, Italy,

with S. Doplicher, D. Guido, R. Longo, G. Piacitelli.

### Main Conferences and Seminars

**June 2012**

Algebraic Quantum Field Theory Seminar,
ESI, Vienna, Austria

talk "Short distance analysis in AQFT I: general framework",

talk "Short distance analysis in AQFT II: applications to superselection theory";

talk "Short distance analysis in AQFT I: general framework",

talk "Short distance analysis in AQFT II: applications to superselection theory";

**April 2012**

Workshop "Problemi Attuali di Fisica
Teorica", Vietri sul Mare, Italy,

talk "Curved quantum spacetime and cosmology";

talk "Curved quantum spacetime and cosmology";

**September 2011**

"Workshop of Young Researchers in
Mathematics", Universidad Complutense de Madrid,

talk "Operator algebras and the renormalization group in quantum field theory";

talk "Operator algebras and the renormalization group in quantum field theory";

**September 2011**

Workshop "Modern Trends in Algebraic
Quantum Field Theory", Università di Pavia,

talk "On the scaling limit of local nets arising from factorizing S-matrices";

talk "On the scaling limit of local nets arising from factorizing S-matrices";

**May 2011**

"1st Annual Meeting of the
French-Italian Research Group in Noncommutative Geometry", Institut
Henri Poincaré, Paris,

talk "Asymptotic morphisms and scaling limit of quantum field theories";

talk "Asymptotic morphisms and scaling limit of quantum field theories";

**March 2011**

International program "Quark-Gluon
Plasma, and the First LHC Results", INFN, Laboratori Nazionali di
Frascati,

talk "Confinement: a mathematical perspective";

talk "Confinement: a mathematical perspective";

**October 2008**

Miniworkshop "Noncommutative Geometry and Quantum Field Theory",

"La Sapienza" University, Rome, Italy,

talk "Scaling limit of quantum fields from local algebras";

"La Sapienza" University, Rome, Italy,

talk "Scaling limit of quantum fields from local algebras";

**September 2008**

Workshop "Opertator Algebras, Conformal Field Theory and related topics",

ESI, Vienna, Austria,

talk "Scaling limit for subsystems and Doplicher-Roberts reconstruction";

ESI, Vienna, Austria,

talk "Scaling limit for subsystems and Doplicher-Roberts reconstruction";

**May 2008**

"La Sapienza" University, Rome, Italy,

talk "A model independent approach to the short distance limit of quantum fields";

talk "A model independent approach to the short distance limit of quantum fields";

**November 2007**

First French-Italian meeting on Noncommutative Geometry,

INdAM, Rome, Italy,

talk "Renormalizaton of pointlike quantum fields from scaling algebras";

INdAM, Rome, Italy,

talk "Renormalizaton of pointlike quantum fields from scaling algebras";

**September 2007**

"La Sapienza" University, Rome, Italy,

talk "Scaling algebras and the renormalization of pointlike fields";

talk "Scaling algebras and the renormalization of pointlike fields";

**June 2007**

Joint international meeting UMI-DMV, special session "Operator Algebras",

University of Perugia, Italy,

talk "Algebraic renormalization group and pointlike fields";

University of Perugia, Italy,

talk "Algebraic renormalization group and pointlike fields";

**November 2006**

International conference "Recent advances in Operator Algebras",

INdAM, Rome, Italy,

talk "Short distance analysis of superselection charges";

INdAM, Rome, Italy,

talk "Short distance analysis of superselection charges";

**October 2005**

Workshop "Noncommutative Geometry and Quantum Field Theory",

Mathematisches Forschungsinstitut Oberwolfach, Germany,

talk "Scaling limit of superselection charges: a class of models";

Mathematisches Forschungsinstitut Oberwolfach, Germany,

talk "Scaling limit of superselection charges: a class of models";

**August 2005**

II Institut fuer Theoretische Physik, Hamburg, Germany,

talk "Short distance analysis of superselection charges: an overview";

talk "Short distance analysis of superselection charges: an overview";

**July 2005**

Institut fuer Theoretische Physik, Goettingen, Germany,

talk "Scaling algebra and superselection sectors: a class of models";

talk "Scaling algebra and superselection sectors: a class of models";

**July 2004**

Symposium "Rigorous Quantum Field Theory",

Service de Physique Theorique, Saclay, France,

talk "Short distance analysis for localizable and topological charges";

Service de Physique Theorique, Saclay, France,

talk "Short distance analysis for localizable and topological charges";

**June 2004**

Symposium "Perspectives in Quantum Field Theory",

Institut fuer Theoretische Physik, Goettingen, Germany,

talk "Scaling algebras and short distance analysis of superselection charges"

Institut fuer Theoretische Physik, Goettingen, Germany,

talk "Scaling algebras and short distance analysis of superselection charges"

**July 2003**

Young Researchers Symposium of XIV International Congress of Mathematical Physics,

Lisbon, Portugal,

talk "Scaling algberas for charge carrying quantum fields and superselection structure at short distances";

Lisbon, Portugal,

talk "Scaling algberas for charge carrying quantum fields and superselection structure at short distances";

**May 2003**

Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany,

talk "Charge structure at short distances in quantum field theory";

talk "Charge structure at short distances in quantum field theory";

**May 2003**

Workshop "Foundations and costructive aspects of Quantum Field Theory",

Institut fuer Theoretische Physik, Leipzig, Germany,

talk "Scaling algebras for charge carrying quantum fields and superselection structure in the ultraviolet";

Institut fuer Theoretische Physik, Leipzig, Germany,

talk "Scaling algebras for charge carrying quantum fields and superselection structure in the ultraviolet";

**June 2002**

Workshop "Index theorems and modularity in Operator Algebras",

Mathematisches Forschungsinstitut Oberwolfach, Germany,

talk "Superselection structure and stability of charges in the ultraviolet";

Mathematisches Forschungsinstitut Oberwolfach, Germany,

talk "Superselection structure and stability of charges in the ultraviolet";

**July 2001**

Conference "Operator Algebras and Mathematical Physics",

Constanta, Romania,

talk "The structure of charges in the ultraviolet and an intrinsic notion of confinement";

Constanta, Romania,

talk "The structure of charges in the ultraviolet and an intrinsic notion of confinement";

**February 2001**

Institut fuer Theoretische Physik, Goettingen, Germany,

talk "Superselection structure in the scaling limit and confinement of charges in terms of local observables".

talk "Superselection structure in the scaling limit and confinement of charges in terms of local observables".