Yes, this is me

Born in Roma, Italy in 1946, married, with five children.
PhD, Professor of Mathematics and Statistics at the faculty of Architecture ValleGiulia at Roma University "La Sapienza".

Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza"
Address: Piazzale Aldo Moro, 5, 00185 Roma Italy.
Office: 13 Ground Floor
Telephone: +3906.4991.3266
FAX: +3906.4470.1007
Web pages:


Ph.D. in Science, Data Analysis, held in France in 2002 (University of Paris IX Dauphine), with thesis on «Contribution to Data Analysis Methods based on Application Examples» directed by Pierre Cazes. Italian laurea degree in Pure Mathematics in 1969 (University of Roma La Sapienza), with thesis on «Structure Theory of Fields», Classical Studies at High school, Professional qualification of Photographer.

Professional experience as music player and singer, photographer, computer programmer (Fortran), data analyst (with applications in ecology, vegetation science, economics, urban geography, history, and archeology), survey statistician, instructor in many fields (music, photography, mathematics, computer science, statistics and data analysis).

Italian mother tongue; excellent knowledge of English and French, good of Spanish, medium of Portuguese.

Personal interests: travels, cinema, photography, classical music, literature, interaction with people.
Sports: high mountain excursions, sailing; in the past, horse riding, skiing.


áá2.1 University Teaching
1998/... Professor, charged of the courses of Mathematics and Statistics for the students in Architecture of Roma University La Sapienza.
2005/06 – Charged of the course of Mathematical and Statistical Methods for the Evaluation at the Faculty of Natural Sciences of Tuscia University.
2001/04 - Charged of the introductory courses of Mathematics and Statistics for Medicine diplomas first year students of Roma University La Sapienza in Rieti.
1994/98 - Professor, charged of the introductory course of Mathematics for Architecture first year students of Roma University La Sapienza.
1993/94 - Professor, charged of the course of Multivariate Statistics at Benevento University.
1990/91 - Charged of the course of Computer Science I and II at the American University of Rome.
1988/89 - Charged of the course of Calculus at Campobasso University, School of Economics.
1978/86 - Professor, charged of the introductory course of Analysis and Geometry for Architecture students of Roma University.
1975/78 - Professor, charged of the courses of Algebra, Geometry and Rational Mechanics at University of Calabria.
1969/73 - scholarship for research and tutorials in Algebra (CNR – Rome University).
2.2 Research Activity
1995/... The main research activity, granted by the Faculty of Architecture ValleGiulia of Roma University La Sapienza is about: «Multidimensional and Textual Analysis Techniques for Socio-Economic and Socio-Political Data on Spatial Basis and of their Evolution».
1995/02 - Scientific coordinator of the research program granted by C.N.R. (Italian Research Council) «Analysis of the structural composition and iconography of images of Near-Eastern seals».
1999 - in charge of the research program granted by C.N.R. «Computational and interpretative methods for multivariate 2- and 3-way analyses and applications».
1998 - in charge of the research program granted by C.N.R. «Serial and parallel methods for computation of eigenvalues and eigenvectors and their interpretation in data analysis».
1993/98 - Participant to the sub-project of Progetto Finalizzato Trasporti 2 of C.N.R. n. 4.2.3 «Mobility in Lombardia - Models and software for an analysis of flows for facilities in urban areas», under the direction of Silvana Stefani.
1992/96 - Participant to the research group of 40% grant of M.U.R.S.T. (Ministry of University) «Analysis of spatial data», under the direction of Mauro Coli.
1989/98 - Consultant of Dipartimento Metodi Quantitativi of University of Brescia Faculty of Economics, headed by Prof. Silvana Stefani in the frame of CNR grants of Progetto Finalizzato Trasporti 2 and yearly symposia organization, topics of interest were the analysis of territorial data, namely census, urban services, elections data, and social data, like a students survey; in addition, studies concerning the methods of eigenanalysis of symmetrical matrices were carried on. Three proceedings books were edited.
1987/89 - Cooperation with Dipartimento di Matematica e Statistica of Università di Napoli, faculty of Economics. With Professors N.C. Lauro and L. D'Ambra a generalized canonical analysis program was developed and a routine (to be included in Spad package) for the Non-symmetrical Correspondence Analysis.
1984/87 - Consultant of Department of Plant Biology of Roma University, in charge of assist teachers and researchers in the use of statistical methods and computer programs for their investigations.
1978/83 - Researcher at SOMEA, società per la matematica e l'economia applicate s.p.a., in charge of implementation, use, and development of an internal computing center, concerning methods, programs, and computing tools.
2.3 Esperienze all'estero
2007 - Bilateral cooperation agreement with Prof. Gastão C. Gomes of Universidad Federal do Rio de Janeiro, for a joint study on relations between correspondence analyses and log-linear models. In this framework, a yearly visit there.
2007 - Bilateral cooperation agreement with Prof. Wilfredo Sosa of Universidade Nacionál de Ingenieria de Lima (Peru), for a joint study on the «El Niño» phenomenon through multidimensional methods. In this framework, a yearly visit there.
2005 - Bilateral cooperation agreement with Prof. Valério D. Pillar de la Universidad Federal do Rio Grande do Sur, for a joint study on multidimensional methods applied to ecological data and their development for validation. In this framework, a yearly visit there.
2004 - Bilateral cooperation agreement with Prof. Fidel A. Roig of Universidad de Cuyo en Mendoza for a joint study on time-series analysis of tree-ring measures through multidimensional methods. In this framework, a yearly visit there.
2000 - .. Exchange of teaching periods with professors of Université des Sciences et Téchnologies di Lille I (France) in the frame of SOCRATES project of European Union. In the following years the agreement was enlarged to Universitat Politécnica de Catalunya (Barcelona, Spain) and to École d'Architecture de Rennes (France).
1999 - .. Twice Visiting professor at I. Vekua Institute of Applied Mathematics, Tbilisi State University (Georgia) for short periods in the frame of cultural agreement with Roma Dipartimento di Matematica.
1996 - 02 Four study stays at TAPRI - Tampere Peace Research Institute of Tampere University (Finland), granted by C.N.R. and the cultural agreement with University La Sapienza. The aim was to promote a European study, concerning regional quantitative studies in the Union.
>1998-99 Two invitations (2+3 months) at INRETS, Institut de Recherche sur Traffic et Sécurité, in Arcueil (France), as foreign researcher, in order to work on analysis of data concerning traffic speed and security.
1996 - 97 Visiting professor (1 + 6 months) at Université des Sciences et Téchnologies de Lille (France), Laboratoire de Probabilité et Statistique. Charged of the courses of Probability and Statistics for first year students (Deug Life Sciences), and of Mathematical Statistics for fourth year students (Maîtrise of Mathematics). Also involved in research with Professors Claude Langrand (implementation of cluster and discriminant analysis packages) and Jean-Jacques Denimal (interpretation aids for hierarchical cross-classifications).
5/1990 - Study stay at Eötvös Lorand University of Budapest (Hungary), at Professor P. Juhász-Nagy, involved in the use of exploratory analyses in spatial processes of vegetation.
1988 - Study stay (45 days) at Prof. L. Orloci, University of Western Ontario (Canada), Topics of investigation were non-linear relationships between plant species and environmental factors and the implementation of a statistical package for tutorial purposes.
1985/9 - Instructor in the short courses of International School of Vegetation Science «Sobre la elaboración de datos fitosociológicos» in Rosario (Argentina, 1985) and «Numerical methods and models in vegetation biology» in León (Spain, 1989).
2.4 Other Activities
1990/92 - Development for "Centro Sicurezza FIAT" of a computer program for the numerical integration of the broadcasted accelerometer signals, to be used in car crash tests, aiming at trajectories both numerical description and graphical representation.
1990/92 - Development for MIDAS of a computer program for thematic maps based on Italian municipalities and regions.
1981/82 - Instructor of cello and music theory at "Scuola popolare di musica di Testaccio" and conductor of baroque music groups both there and at "Scuola Italiana del Flauto Dolce".
1978/80 - Instructor of still life photography and laboratory at "Istituto Europeo di Design" of Rome.
1973/75 - Free lance photographer. Photographs appeared on "Mezzogiorno '70", and a continuous cooperation was established with monthly magazines "Suono Stereo Hi-Fi" and "Stereoplay" for the cover pictures, and with "Brava" for a monthly report pictures concerning famous people hobbies. Later a cooperation was operating for the official catalog of antiquities.
1972 - Instructor of photography at Forum School of Roma.


3.1 Data analysis

Presently, the research activity is performed with his correspondents in South-America and in Lille (France). It concerns on one side the revision of exploratory factor analysis techniques, with an attempt to improve their performance, validation, interpretation aids, and the graphical tools; on the other side it concerns the development of factorial classification of variables methods, aiming at associating to each hierarchy node a factor plane of representation.

3.2 Ecology

Two researches are currently in progress: one concerns the tree-ring time-series, on the point of view of the data analysis methods to use to get chronologies and further deal with them. The other concerns the «El Niño » phenomenon, the climatic oscillation of Pacific Ocean that influences the coastal regions in what concerns the climate (precipitations) and the fishing activity. Here it id necessary to extract from large data bases the information that may be connected with the phenomenon and derive useful practical tools.

3.3 Foundation of Topology and Geometry

Aside of data analysis studies, attention is devoted to the foundation of topology and geometry, for their introduction to Architecture studies. In particular, attention is drawn on the general topology grounding of the concept of filter. This approach allows to see both most topological definitions and the limits theory in a unified form.

3.4 The thesis

The content of the thesis has been the most important commitment since long. Albeit homogenized, it is indeed a thesis on works, in which each chapter deals with a topic independent on the others, even if with strong technical interactions. Here the subjects are briefly outlined, with special attention to the future developments.

1) Interpretation aids for cross-classifications. It is a method, proposed by Denimal (1997), that was further developed together. Specifically conceived for contingency data tables, they revealed a precious help for the structuring of vegetation tables and for both interpretation and communication of the results. The extension to other kind of tables is forecast.

2) Negative eigenvalues in data analysis. The negative eigenvalues of empirical distance matrices are in principle considered unacceptable, although their weak value may suggest that Euclidean distances are biased. It was possible to show a possible interpretation of the eigenvectors corresponding to the negative eigenvalue and a pseudo-Euclidean metrics is proposed, analogous to the one adopted in relativity theory, to understand the results. This allowed an original interpretation of such eigenvalues and it was shown that the representation of distances in the sub-space spanned by the eigenvectors corresponding to positive eigenvalues has a quality equivalent to the best optimal scaling method currently used. The method works better than the non-metric ones found in literature.

3) Input/output matrices. The exploratory analysis of input/output matrices, in particular of those describing an economic system, may be performed through graph theory methods, that enable a graphical representation both of main flows of goods through the economy sectors and of the most important blocks of economy, that is those sectors that exchange goods among themselves in all directions. In this case, graphs representing the flows structure are helpful for a suitable description of the phenomenon. A computer package was developed, able at analyzing and graphically representing an I/O matrix.

4) Vegetation data. The first study concerns the identification of the optimal dimension of relevés, in relation with the information richness. It was found that the Statis method (Lavit, 1988) applied to a spatial process, consisting in progressively enlarging the dimension of the relevés, allows the identification of the optimal dimension, as it is estimated by the Juhász-Nagy (1976 ; 1984) model, a model highly demanding in terms of sample size. The second study concerns the theoretical problems tied to the optimal structuring of a vegetation table, by approximating a block structure. Semi-automatic procedures have been outlined and partially implemented. In this framework an original interpretation of the Guttman effect was found, that asks or a revision of the literature on the subject aiming at its removal. In this framework, the interpretation aids to cross-classifications revealed useful for the reading of structured tables and for the comparison of classes issued by different analyses.

5) Data analysis of urban services. In this framework, in which the reference is the Christaller (1933) model of the urban ranks, the study aims at integrate the identification of the ranks with a typology. As a result, two co-occurrent structures were identified: the urban rank and the urban type. In this framework, an original point of view comes from phytosociology, by proposing the characteristic elements of every structure. For this aim, several methods were used, in particular the rank analysis, based on Orlóci (1978) but using a chi-square metrics, that allows a better knowledge of this structure. The use of interpretation tools of cross-classifications was proved useful for the definition of the co-occurrent structures.

6) Seals images analysis. The seals were found in the Near-Middle East belonging to the Uruk / Jamdat Nasr period (IV-III-th millennium b.c.). Special coding techniques were developed to study the seals on the iconographic content point of view, since the classical coding was not apt to describe sufficiently well the complex image structure. Indeed, it is important to know the different iconographical elements that form an image, how they are tied to form sub-images and which is the syntactical structure of the image obtained by connecting sub-images. Different coding were used, in particular the classical one, for the study of the single elements; then a textual coding for describing the sub-images through a formalized text; eventually, a hierarchical symbolic sequence was used to describe the syntactical relations among the sub-images. As for the first two coding, correspondence analysis was used, for the latter it has been necessary to develop a special method for computing distances.

3.5 Studies on education of mathematics

Based on the experience of teaching in the faculty of Architecture, whose students formation is very far from mathematical experience, studies are carried out on the possible ways of teaching both modern (Logic, Set theory, Topology) and classical mathematics (Calculus, Geometry) to non-mathematics students. In particular, the different forma mentis is taken into account, thus suggesting to tailor the lecturing style to homogeneous groups of students.

3.6 Laurea theses

Since 1983, over 45 laurea theses were directed, concerning students with four-years curriculum in Mathematics. The subjects were usually tied to the researches in progress. Nearly 20 others were assisted in what concerned data analysis matters, for students in Economics, Political Sciences, and Natural Sciences.

Conseil Scientifique de l'Environement Nord-Pas de Calais;
SocietÓ Italiana di Statistica (SIS);
SocietÓ Italiana di Studi Elettorali (SISE);
SociÚtÚ Francophone de Classification (SFC);
SociÚtÚ Franšaise de Statistique (SFdS).

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