A. General Information

26 September 1995: Italian laurea in Mathematics (BSc), University of Modena,
grading 110/110 cum laude.
January 1996: winner of an annual INDAM junior Fellowship
November 1997: winner of a post for a PhD in Mathematics, University of Florence,
Accepted. Also winner in Universities of Trento and Genova.
April 1998: winner of an Erasmus-Socrates exchange Fellowship, duration 4 months.
2001-2002: winner of "Progetto Giovani Ricercatori" at the University of Modena.
2001: member of the two European Networks (TMR) "Complex Analysis" (Prof. C. Laurent-Thiebaut and H. Skoda) and "Differential Equations and Singularities" (Prof. D. Cerveau).
23 April 2001: obtained the PhD, University of Florence,
Commission: Profs. Giuseppe Tomassini, Nicola Fusco, Casolo Carlo.
February 2001: winner of a four-year research grant, Mathematics Department of the
Architecture Faculty, University of Florence; used it only 2 years, until February
2003.
February 2001: winner of an annual Italian CNR Fellowship, but it was incompatible
with the grant.
February 2001: winner of an INDAM senior Fellowship, but it was incompatible with
the grant.
February 2002: winner of a two-year CNR Fellowship, started April 2002.
February 2003: winner of a three-year INDAM grant.
March 2004: accepted candidature as MAITRE DE CONFERENCE in France,
equivalent to tenure track, for 4 years.
Since January 2005: "Ricercatore" at the Engineering Faculty, Cosenza.
Since January 2005: organizer of the local Geometry Seminar at the Math. Department, in Cosenza.
Since 2005: permanently invited at the "Equipe Geometrie et Dynamique" directed by Prof. B. Tessier, Universite' Paris VII.
January 2007: winner of an Indam fellowship of 3 months to be spent in France.
From January, 1.st 2008: Assistant Professor (="Ricercatore Confermato") at the Engineering Faculty, Cosenza.
From December 15.th 2009: Assistant Professor at the Engineering Faculty, Ferrara.





B. Scientific Activity
During the undergraduate period, my research interest were mainly in Combinatorial
Geometry; during graduate studies, they were devoted to Complex and Differential
Geometry, and in particular to the Theory of Iteration in one and several variables, to
Holomorphic Dynamics, to the Theory of Composition Operators, to Boundary
Geometry of holomorphic functions in the disc or ball; now they’re devoted to the
Dynamics of Polynomial Automorphisms of C^k, to Dynamical Systems and
Foliations, to Birational Geometry of Complex Surfaces, to quaternionic analysis.


C. Partecipation to Schools, Workshops and Courses.
August 1995: Summer School of Mathematics in Perugia (partecipated as
undergraduate)
Courses followed:
-Algebra (Kovachs);
-Algebraic Geometry (Barth);
good results in both courses
January 1996: thanks to INDAM Fellowship followed the following PhD Courses at
the Mathematics Department, University “La Sapienza” Rome
Courses followed:
-Geometry and Topology (O’ Grady);
-Complex Analysis (A.Silva);
-Algebra (C.M. Scoppola);
with good results.
July 1996: Summer School of Combinatorial Geometry in S.Felice sul Benaco
(Brescia, Italy)
August 1996: Summer School of Mathematics in Perugia (partecipated as INDAM
Fellow)
Courses followed:
-Differential Geometry (Mercuri);
-Functional Analysis (Coti-Zelati);
with good results.
May 1998: CIRM Workshop, Levico Terme (Trento, Italy) “ Differential Geometry
and Transformations’ groups”.
June 1999: CIRM Workshop “Complex Analysis”, Levico Terme (Trento).
27 June-17 July 1999: Summer School in Cortona (Italy) where followed a course in
Complex Analysis by Profs:
-L. Lempert (Univ. di Purdue, Indiana, Usa);
-K.T. Kim (Univ. di Postech, Corea);
3-4-5 December 1999: Workshop “Midwest Several Complex Variables Conference”
University of Ann Arbour, Michigan,USA.
10 - 13 October 2000: Workshop “Complex Analysis and Geometry” organized by
the European Network in Cortona (Italy)
15-20 May 2001: Biennal Conference in Complex Analysis, Levico Terme (Trento),
organized by A. Silva and V. Ancona.
18 - 22 June 2001: CIRM Workshop “Complex Dynamical Systems”, organized by
M. Brunella and N. Sibony, Luminy (France).
17 - 20 July 2001: First Workshop SMF-AMS, ENS Lyon (France).
29 July - 17 August 2001: School in Dynamical Systems ICTP, Trieste (Italy)
organizers Yoccoz, Palis, Mather, Viana.
February 2002: Trimester “Dynamical Systems”, organizers Marmi, Yoccoz, Palis,
Mather, Viana, Centro De Giorgi, Scuola Normale Superiore, Pisa.
June 2003: Workshop “Complex Analysis”, Levico Terme (Trento) organizers
A.Silva and V.Ancona.
July 2003: School “Holomorphic Dynamics”, Cortona (Italy), Profs. Marmi S. e T.
Gamelin.
September 2003: School “Holomorphic Surgery” organized by Prof. A. Duady at IHP
(Paris).
October 2003: School “Complex Analysis” organized by Profs. K.T. Kim e H.
Gaussier, CIRM Center, Luminy, Marseille (France).
November 2003- February 2004: Trimester “Complex Analysis” organized by Profs.
N. Sibony and G. Henkin, at IHP (Paris).
28-29 May 2004: ENS-Lyon, Rencontres Mathematiques, speakers Bismut and
Soule, conference “Autour du Theoreme de l’Indice”.
September 2005: at Institut Henri Poincare' Conference in honour of the 60.th birthday of Prof. H. Skoda.
March 2006: invited as senior researcher at the workshop "Holomorphic dynamics" at the Fields Institut (Toronto) celebrating the 75.th birthday of J. Milnor.
May 2006: ENS-Lyon, rencontres mathematiques, "Geodesic Flow and Teichmuller space".
May 2006: ACI, Rennes.
June 2006: "Complex Geometry and Dynamics" Luminy, France.
June 2007: Conference "Real and Complex Geometry", in Levico Terme (TN), at CIRM, organizers: Arezzo, Ancona, Bracci, Silva.
June 2007: conference in honour of the 65.th-birthday of Prof. G. Henkin, IHP, Paris.
July 2007: “School on Dynamics and Billiards”, Khon University, Germany.
February 2008: “Winter School in Complex Analysis and Operator Theory”, Siville, Spain.
July 2008: Cime Cours in Cetraro. Speakers: N. Sibony, M. Brunella, Schleicher, E. Bedford, M. Abate. Organizers: G.Gentili, G. Patrizio, J. Guenot.
September 2008: Indam conference “ Holomorphic Iterations, semigroups and Loewner Chains”, in Rome, organizer: F. Bracci.
October 23.th: Complex Analysis Day, at Padua University; organizer: G. Zampieri.
December 9.th: Conference in Honour of Prof. E. Vesentini for his 80.th birthday, at Florence Univerity.
May 2009: Conference "Real and Complex Geometry", Levico Terme (TN), Organizers: Arezzo, Bracci, Ancona, Silva.
June 2009: Conference "Complex Dynamics and Geometry" CIRM Luminy, Marseille, France.
August 2010: Cortona Course (SMI) "Loewner Chains: deterministic and stochastic view point".
November 2010: "Real and Complex Geometry" in Levico Terme (Trento).
January 2011: Kawa2, CIRM Luminy, France.
June 2011: "Real and Complex Geometry" in Levico Terme (Trento).
June 2011: School "Complex Geometry" , IHP, Paris.
March 2012: Conference in honour of Prof. P. Wong , Notre Dame University.
July 2012: Conference at Banff Institut, Canada.
29 October- 3 November 2012: invited at the conference "Groups of Automorphisms in Birational and Affine Geometry", organizers: Cheltsov, Ciliberto, Flenner, McKernan, Prokhorov, Zaidenberg.

D. Visits in Universities Abroad
June to September 1998: hosted in Erlangen University (Nurnberg, Germany) where I
continued research for my PhD thesis, followed courses and gave a conference about
my research.
October to December 1999: hosted in Purdue University, Indiana, USA, to continue
research for my PhD thesis with Prof. C.C. Cowen.
January to February 2001: invited in University of Rennes I (France) to do research
with Prof. Dominique Cerveau.
March to September 2001: studies at Fourier Institute (Grenoble) and Ecole Normale
Superieure, Lyon.
27 April 2001 to 7 May 2001: visit to Prof. Ricardo Perez-Marco, UCLA, Los
Angeles, California, USA.
April 2002 to January 2003: scientific visit to Profs. N.Sibony and C.Favre and their
research groups in University Paris VI (Jussieu) and Paris XI (Orsay)
November 2003 to June 2004: scientific visit to Profs. N.Sibony, C.Favre, Dinh,
Dujardin and their research groups in University Paris VI (Jussieu) and Paris XI
(Orsay).
October 2004 to May 2005: scientific visit to Profs. N.Sibony, C.Favre, Dinh,
Dujardin and their research groups in University Paris VI (Jussieu) and Paris XI
(Orsay).
April 2006 to July 2006: scientific visit to Profs. N.Sibony, C.Favre, Dinh,
Dujardin and their research groups in University Paris VI (Jussieu) and Paris XI
(Orsay).
January 2007 to May 2007- June-July 2007: scientific visit to Profs. N.Sibony, C.Favre, Dinh,
Dujardin and their research groups in University Paris VI (Jussieu) and Paris XI
(Orsay).
April 2008 to August 2008: scientific visit to Profs. N.Sibony, C.Favre, Dinh,
Dujardin and their research groups in University Paris VI (Jussieu) and Paris XI
(Orsay).
November 2.nd / November 18.th 2010: invited at the Michigan University, Ann Arbour (Prof. Fornaess) and at Notre-Dame University (Prof. J. Diller).
March 2012: invited at Notre-Dame University (Prof. J. Diller).






E. Seminars and Communications.
November 1997: GNSAGA Workshop in Perugia. Conference “Arcs in Laguerre
planes”.
July 1998: Erlangen, workshop “Arcs in Laguerre planes”.
29 August – 4 September 1998: Workshop ”Geometric and algebraic properties of
real and complex manifolds: new Italian contributions”, Mondello (Palermo, Italy);
short communication: “Commuting holomorphic maps and linear fractional models”.
30-31 October 1999: Wabash Conference, Indianapolis, Indiana, USA,
short communication: “Commuting holomorphic maps and linear fractional models”.
November 1999: Purdue University, seminar:”Commuting holomorphic maps and
linear fractional models”.
27 March 2000: seminar at Fourier Institute (Grenoble): ”Commuting holomorphic
maps and linear fractional models”.
4 - 9 June 2000: INDAM Workshop “Complex Dynamics and Geometry”, Cortona
(Italy), short communication “Linear Fractional Maps of the Unit Ball: a Geometric
Study”.
January 2001: Rennes University, two seminars “Boundary Constructions of Petals in
the Parabolic Case” and “Linear Fractional Maps of the Unit Ball: a Geometric
Study”.
21 March 2001: Seminar at Ecole Normale Superiore Lyon:
“Linear Fractional Maps of the Unit Ball: a Geometric Study”.
4 May 2001: Seminar at Mathematics Department, UCLA: “Constructions of
Boundary Petals at the Wolff Point in the Parabolic Case”
7 - 14 May 2001: “Journees d’Analyse Complexe du Sud”Autrans (Grenoble),
seminar: “Linear Fractional Maps of the Unit Ball: a Geometric Study”.
20 - 22 September 2001: Workshop “Complex Analysis and Geometry” at University
Paris VI (Jussieu) communication: “Constructions of Boundary Petals at the Wolff
Point in the Parabolic Case”.
29-30 September 2001: seminar “Boundary Schwarz’s lemmas” in Autrans, for a
study week-end organized by Fourier Institute, Grenoble.
6 February 2002: invited by Mathematics Department, University of Rome “Tor
Vergata” for a seminar: “On Commuting Polynomial Automorphisms of C^2”.
10 April 2002: seminar at the Mathematics Department of University Paris XI
(Orsay) in the group of Prof. N. Sibony: “Cycles of two differential equations in a
neighborhood of a singular point”.
11 June 2002: seminar at University of Florence: “Cycles of two differential
equations in a neighborhood of a singular point”.
23 June 2002: seminar at Mathematics Department of University Paris VI (Jussieu):
“On Commuting Polynomial Automorphisms of C^2”.
August 2002: invited by Prof. K.T. Kim to give a conference in Shanghai, as a
satellite of ICM 2002 (Beijing).
1- 8 September 2002, Workshop “Young Italian Contributions to the algebraic and
geometric properties of real and complex manifolds”, Mondello (Palermo, Italy),
communication: “On Commuting Polynomial Automorphisms of C^2”.
22 April 2003: invited by Centro de Giorgio (Pisa) for the trimester “Topics in real
and complex analysis”, to give the conference: “On Commuting Polynomial
Automorphisms of C^2”.
October 2003: School “Complex Analysis” at CIRM, Luminy, seminar: “On
Commuting Polynomial Automorphisms of C^2”.
January 2004: invited to give a conference in Kyoto by Prof. T.Suwa.
21-25 June 2004: invited to give a conference “On Commuting Polynomial
Automorphisms of C^k” in the international conference “Geometrie des Varietes
Complexes” at CIRM, Luminy. Organizers: Dloussky, Teleman, Oeljeklaus.
27 September – 1 October 2004: invited to the conference “Recenti sviluppi in
Geometria Reale e Complessa” at Levico Terme (TN). Organizers: Ancona, Silva. Title of the talk: "On Commuting Polynomial Automorphisms of C^k, k>=2".
January 2005: colloquim "Holomorphic Dynamics in one and several variables", Math. Department, Cosenza.
March 2007: conference "On Closed invariant sets in local dynamics", Math. Department, University Tor Vergata, Rome.
September 2007: conference "On Closed invariant sets in local dynamics", Umi Conference, Bari.
May 2009: invited to give the talk "On Proper Polynomial Maps of C^2", at the Conference "Complex Analysis and Dynamical Systems IV" Naharijha, Israel.
July 2009: invited to give a talk "Moebius Transformations and Poincare' Distance in the quaternionic setting", ISAAC Conference, Imperial College, London.
November 2009: invited to give the talk "On Proper Polynomial Maps of C^2", at the Dipartimento Matematica, Universita' Ferrara.
November 2010: invited to give the talk "On Proper Polynomial Maps of C^n", AMS Conference, Notre-Dame University.
December 2010: invited to give the talk "Schwarz-Pick Lemmas in the quaternionic setting" at Politecnico di Milano.
June 2011: Icca9, Wiemar, Germany, invited to give the talk "Quaternionic Tori and their Moduli Space".
September 2011: invited to give the talk "Quaternionic Tori and their Moduli Space" at the UMI Conference, Bologna, Italy.



F. Teaching
1997: TA “Financial Mathematics”, Faculty of Economics, Modena.
March - June 1999: TA of the second part of the course “Advanced Geometry 1”,
Prof. G.Gentili, Mathematics Department, University of Florence.
October - December 2000: TA “Algebraic Topology”, Prof. G.Gentili, Mathematics
Department, University of Florence.
September 2000: accelerated course, Faculty of Engineering, University of Modena.
October 2000: course “Analysis I”, Faculty of Engineering, University of Modena.
March - June 2001: TA “Mathematics II”, Prof. F. Podesta’, Faculty of Architecture,
University of Florence.
October - December 2002: TA “Mathematics II”, Prof. F. Podesta’, Faculty of
Architecture, University of Florence.
February - March 2003: TA “Mathematics II”, Prof. Selvaggi, Faculty of Architecture, University of Florence.
May 2005: Calcolus 3, Engineer Faculty, Cosenza
September 2005: Linear Algebra and Geometry, Engineer Faculty, Cosenza.
February 2006: Geometry for Architects, Science Faculty, Cosenza.
September 2006: Linear Algebra + Geometry for architects
March 2007: Albegra 2, Science Faculty, University of Modena and Reggio Emilia.
September 2007: Linear Algebra + Complex Analysis for Mathematicians.
September 2008: 2 cours in Linear Algebra for Engineers, 1 cours in high-school mathematics for engineers.
September 2009: 2 cours in Linear Algebra for Engineers, 1 cours Analysis 1 for Engineers, University of Calabria.
March-May 2010: Linear Algebra and Geometry with Matlab for Engineers, University Ferrara.
2010-2011: Geometry for Engineers, University of Ferrara.
2011-2012: Discrete Mathematics for Engineers, University of Ferrara.


G. Books and Courses Notes:

Collaboration in writing a high school book in mathematics, Authors: Petronio-DeFabritiis. Editor: Mondadori
Course Notes :"Complex Analysis", University of Calabria.
Course Notes :"Geometry with the help of Matlab", University of Ferrara.


H. Editorial activities:

From 2004 Reviewer for Mathscinet and Zentralblatt.
From 2011 official referee of Journal Mathematical Research.