FAILLA Gioia

Accademic Positions

Since November 2023 Associate Professor in Geometry and Algebra at University Mediterranea
of Reggio Calabria

2/05/2012-31-10-2023 Assistant Professor (Ricercatore Universitario) in Geometry, Univ.
Mediterranea of Reggio Calabria, MAT/03-Geometry

Education

04/2008 PhD Mathematics, University of Messina. Thesis: Varietà di Hankel, sottovarietà
di G(r;m). Advisor: Prof. Salvatore Giuffrida (University of Catania)

03/2003 Mathematics MS, 110/110 cum lode and Accademic Mention, University of Messina. Thesis of research: "Schemi Residui in Geometria Algebrica Proiettiva " Advisor:
Prof. Rosanna Utano, University of Messina, Coadvisor Prof. Silvio Greco, Politecnique of Turin

Research Interest

Algebric Geometry, Commutative Algebra and Combinatorics

Fellowship

11/2009 Postdoctoral Fellowship, University of Messina

08/2009 Research Fellowship, PRIN "Algebra Commutativa e Combinatorica con applicazioni
alla Geometria Algebrica", University of Catania

12/2007-06/2008 Research collaboration Ennevi System society(Messina)

2003-2007 Phd Mathematics, XIX cicle (4 years), University of Messina (SSD MAT/03-
Geometry)

2001 Socrates-Erasmus Fellowship, University of Stoccolma

Partecipation to schools

21-26/10/2013 International school in Comput. Commut. Alg. and Alg. Geom., Proff.
C.Peterson, H.Habo, D.Bates, V.Welker, Villa Pace, Messina

10/2012 International school in Comput. Commut. Alg. and Alg. Geom., Prof. C.Ionescu,
Villa Pace, Messina

17-29/10/2011 International school in Comput. Commut. Alg. and Alg. Geom., Proff. J.
Herzog, V.Welker, C.Ionescu, Villa Pace, Messina

18-23/10/2010 International school in Comput. Commut. Alg. and Alg. Geom., Proff. J.
Herzog, V.Welker, Villa Pace, Messina

13/07-2/08/2008 International school Pragmatic 2008, Proff. J. Herzog, V. Welker, Department
of Catania

10-14/04/2007 PhD school " Geometria proiettiva e birazionale delle varietà algebriche",
Proff. M. Mella, G. Ottaviani, P. Ionescu, Gargnano (Brescia)

11-14/09/2006 School on Vector Bundles and Low Codimensional Subvarieties, Proff..
R. M. Mir o Roig, P. Ellia, IRST, Povo(Trento)

1-5/06/2004 Internat. School of Project. Alg. Geom. Alg., Pro . C. Ciliberto, A.
Geramita, R.Miranda, L. Chiantini, A. Verra, Centro Internaz. dell'Univ. di Napoli Federico
II , Anacapri (Napoli)

9-28/06/2003 International School "Pragmatic 2003" , Proff. A. Verra, I. Dolgachev, University
of Catania

09/2001 Summer school of Alg, Geom., Proff .J. Migliore , U. Nagel, Politecnico di Torino

Teaching Activity at University Mediterranea of Reggio Calabria

PhD Courses

-2024-2023-2022: "From Graph to Simplicial Complexes", PhD in Information Engeneering
-2020: "Graph Theory and Combinatorics", PhD in Information Engeneering

Courses
2024 Geometria e Algebra (Ing. Gest.-Ing. Mecc.-Ing. Civ. e Amb.)

-2024 Geometry and Algebra (Ing. Civ. e Amb.)
-2017-2024 Geometria (Ing. Indust.- Ing. Civ. e Amb.)
-2011-2016 Geometria (Ing. Civ. e Amb.)
-2022-2024 Elementi di Matematica e statistica (Scienze dell'Educ. e della Form.)
-2023-2024-2020-2021 Teoria dei Grafi (Ing. Elettr.- Ing. Inf. e TLC-Ing.Inf.)
-2011-2024 corso di potenziamento studenti I anno Ingegneria
-2009 Geometria (M-Z)(Ing. Civ. e Amb.)(docente a contratto)
-2009-2008 Matematica e Logica, Facoltà d'Ingegneria, Progetto "PORCALABRIA 2007-2013
-2008 Geometria (M-Z), (Ing. Civile e Amb.)
-2006 Corso Zero, Facoltà d'Architettura
-2006 Corso d'accoglienza per gli studenti del I anno, Facoltà d'Ingegneria
-2003-2004 Tutor of Geometry

Teaching activity at University of Messina

-2007 Elementi di Algebra Lineare (Fac. SiSSiS, Sc. Nat.)
2003-2008 Tutor of the courses di Analisi I, Analisi II, Geometria, Geometria
Algebrica e Algebra Computazionale
-2009: Tutor del corso "An introduction to Groebner bases", Prof. Juergen Herzog(Univ. of Essen)

Visiting Professors invited by Grant GNSAGA-INdAM:

1. 06/2019, 06/20- 07/20, 2013 Prof. Christopher Peterson (Colorado States University,
USA)
2. 06/2019 Prof. Mustapha Lahyane (Universidad Michoacana, Morelia-Messico)
3. 06/20-07/12, 2014 Prof. Hirotachi Abo (University of Idaho, USA)

Organization:

-Workshop on Commutative Algebra and Algebraic Geometry, Accademia Peloritana
dei Pericolanti, Messina, April 11-12, 2024
-Incontro SIMAI gruppo ACCA & AP (online) April 9, 2021
- Short School on Algebraic Geometry and Applications, University Mediterranea of
Reggio Calabria, June 1, 2014
-Workshop on the Algebraic and Geometric Classifications of Projective Varieties,
University of Messina. June 20-24, 2016
- Internat. school and Workshop on Algebro-Geometric aspects of Projective Varieties,
University Michoacana, Morelia (Messico), Febbruary 2011 (together with Proff. M.
Lahyane, O. Osuna Castro)
- Minisimposium "New trends in Algebraic Geometry and its Applications", SIMAI
2010, June 2010 (together with Prof. Mustapha Lahyane)
-Seminario di Geometria Algebrica, Department of Mathematics, University Messina,
November 30-December 2009(together with Prof. Rosanna Utano)
-Workshop on Rational Surfaces and Applications, Department of Mathematics, University
Messina, 18/19 Novembre 2008 (together with Prof. Rosanna Utano)
-Giornata di Geometria Algebrica dedicata alle superficie razionali, Department of
Mathematics, University Messina, 23 Giugno 2006 (together with Doct. Giovanni
Molica Bisci)

Member of Scientific and/or Organizing Committee:

- Workshop on Algebraic Geometry, Combinatorial Commutative Algebra, Groebner
basis and Quantum Codes, University Michoacana, Morelia, Mexico, November 2023
- Nuovi Modelli per l'insegnamento delle scienze, Accademia Peloritana, University of
Messina, November 14 2023
- Workshop "One day on the Algebraic-Geometric Nature of Varieties", University
Michoacana, Morelia (Mexico), May 13, 2022 (online)
- Workshop on the Algebro-Geometric Properties of Projective Varieties, Universit a
Michoacana, Morelia (Mexico), December 16/18, 2020 (online)
- Meeting on Algebraicg Geometry and Commutative Algebra, invited speaker Prof.
David Eisenbud, Istitute of Phisics and Mathematics, University Michoacana, Morelia-
Mexico, February 2018.
- Some topics in Algebraicg Geometry and Linear codes, Istitute of Phisics and Mathematics,
University Michoacana, Morelia-Mexico, March 5/6, 2018.
- CCAAG V - International School on Computational Commutative Algebra and Algebraic
Geometry, Messina April 20-24, 2015.
- International Workshop on the Algebraic-Geometric and Combinatoric Aspects of
Projective Varieties", University of Messina, November 13-14, 2015
- CCAAG IV-International School on Computational Commutative Algebra and Algebraic
Geometry, October 21/26, 2013;
- Two days of Combinatorics, Villa Pace, Messina, 11/07/2013
- International School on Computational Commutative Algebra and Algebraic Geometry,
Messina- October 22/27, 2012;
- Workshop CCAAG International School on Computational Commutative Algebra
and Algebraic Geometry, October 28/29, 2011;
Workshop on "Geometrical and Combinatorial aspects of Commutative Algebra, Villafranca
Tirrena (Messina) September 16/19, 2009;
- Workshop on Commutative Algebra, Algebraic Geometry and Applications to different fields, Brolo (Messina) September 12/15, 2007

Partecipation to research projects

- Geometria de las Superficies Proyectivas Racionales. Scient. Manager: Prof. Mustapha.
Research Council Univ. Michoacana, Morelia-Mexico-2022
- Superficies de Hirzebruch II. Scient. Manager: Prof. Mustapha Lahyane. Research Council
Univ. Michoacana, Morelia-Mexico - 2018-2020
- Super ficies de Hirzebruch. Scient. Manager: Prof. Mustapha Lahyane, Research Council
Univ. Michoacana, Morelia-Mexico 2017
- PRA 2009: Metodi algebrici, omologici e combinatorici per lo studio delle varietà
algebriche. Scient. Manager: Prof. A. Ragusa. Univ. of Catania, 2009
- Geometry of rational surfaces and applications to theories of codes and Cox rings. Scient. Manager: Prof. Mustapha Lahyane. CIC-UMSNH, (Univ. Michoacana, Mexico) and Coecyt (Stato di Michoacan, Mexico), 2009
- On the geometry of points of the projective plane. Scient. Manager: Prof. Mustapha
Lahyane. Promep, Mexico City, 2009
- PRIN 2007: Algebra Commutativa e Combinatorica con applicazioni alla Geometria
Algebrica. Scient. Coord.: Prof. G. Valla. Scient. Manager: Prof. A. Ragusa.
MIUR, 2008-2010
- On the Cox ring of a rational surface, Resp. sc.: Proff. Mustapha Lahyane, Israel
Moreno Morelia. PAPIIT-UNAM UNAM, Mexico City 2008-2010
- PRA 2008 Metodi algebrici, omologici e combinatorici per lo studio delle varietà
algebriche. Scient. Manager: Prof. A. Ragusa. University of Catania, 2008
- The effective monoid of basic rational surfaces. Prof. Mustapha Lahyane. CIC-UMSNH (University of Michoacan, Mexico) and Coecyt (State of Michoacan, Mexico), 2008-2009
-Rational surfaces and applications to coding theory. Scient. Manager: Prof. Mustapha
Lahyane. Congyteg (program of research of the state of Guanajuato, Mexico), 2007-
2008
- PRIN 2005: Algebra commutativa, combinatoria e computazionale. Coord. Sc.:
Prof. G. Valla. Scient. Manager: Prof. R. Strano. MIUR, 2006-2008
-PRA 2005: Algebra Commutativa: aspetti geometrici e combinatorici. Scient. Manager
Prof. Rosanna Utano. Univ. of Messina, 2005
-PRA 2004: Invarianti di algebre graduate ed algebre di Hopf. Scient. Manager: Prof.
Rosanna Utano. Univ. of Messina, 2004
-PRA 2003: Algebra Commutativa e Combinatoria Algebrica, Scient. Manager: Prof.
Rosanna Utano, Univ. Messina, 2003
-2002 Sezioni Iperpiane e Schemi Residui. Scient. Manager: Prof. Silvio Greco (Pol.of
Turin), C.N.R

Research activities:

-University Michoacana, Morelia (Mexico), research activity with Prof. M.Lahyane(Grant
GNSAGA-INdAM)- 2011
-University of Dinsburg-Essen, research activity with Prof. J.Herzog (Grant GNSAGAINdAM)-
2010
-University of Catania, Pragmatic 2008, research activity with Proff.J.Herzog e V.Welker
2008
-Laboratorio di Applicazioni della matematica all'Ingegneria (L.A.M.I), Università
della Calabria-2008
-Istitut Henri Poincaré, University of Paris, Project "Singularities" in collaboration
with Prof. J. Eggers, C. Josserand, L. Saint Raymond (Grant GNSAGA-INdAM)-
2008
-University UNAM, Mexico City, research activity with Prof. Israel Moreno Mejia(Grant
GNSAGA-INdAM)-2007
-Centro de Investigacion en Matematicas(CIMAT),Guanajuato(Mexico) research activity
with Prof. Mustapha Lahyane and the research group of CIMAT on "Proprietà di superfici razionali in P^n" (Grant GNSAGA-INdAM and centro CIMAT- 2007)
-Kungliga Tekniska hogskolan(KTH), Stoccolma, Scientific activity with Prof.
Laksov-2004
-Politecnique of Turin, research activity with Prof. Silvio Greco, project del C.N.R.
"Sezioni Iperpiane e Schemi Residui"- 2003
- University of Catania, Pragmatic 2003, research activity with Prof. Alessandro
Verra-2003
- Politecnique of Turin, research activity with Prof. Silvio Greco-2002
-Politecnique of Turin, Scuola di Geometria Algebrica, research activity with col Prof.
Silvio Greco-2002

Editor Activity/Referee:

-Member of Topic Board of Mathematics since 2021.
- Member of Editorial Board of Annals { Series on Mathematics and Its Application
of the Academy of Romanian Scientists, Bucharest. since 2019.
- Member of Editorial Board of Annals of the University of Craiova-Mathematics and
Computer Sciences. since 2017
- Reviewer for Mathematical Reviews and Zentralblatt Math

Awards and Member of Accademies:

- Habilitation to Associate Professor in Algebra and Geometry 2018-2027 Awarded by
MIUR
- Special Award DIMITRIE POMPEIU for the paper Combinatorics of Hankel relations,
Accademia Oamenilor De Stiinta Din Romania, 2019
- Socia aggregata of Accademia Peloritana dei Pericolanti, University of Messina. since
2016
- Selected, after proposal, by SYRY"SIMAI 2014 young researchers for industry initiative",
with abstract included amomg the contributions partecipants to the Borsa
della Ricerca Forum, Bologna, 2014