Alfio Ragusa

Personal data
Born in Catania (Italy) September 5, 1946
Married, with two children (Arianna and Elio(The web designer))


Diploma at Scientific Liceum Catania 1964
Laurea degree University of Catania 1968
Advisor: Giovanni Dantoni
Thesis: The Arithmetic according to Peano

Position held:

Assistant: University of Catania October 15, 1968 — December 31, 1969
Assistant professor: University of Catania 1970 — 1978
Associated researcher: Brandeis University 1978-1980
Associated Professor: University of Catania 1980 —1982, 1983 — 1986
Visiting Professor: Northeastern University 1982
Full Professor: University of Catania 1987 — up today

Field of general interests:

Algebra and Geometry

Current research interests:

Commutative Algebra and Algebraic Geometry with special regard to Hilbert function and graded Betti numbers for projective schemes, in particular of low dimension (zero-dimensional schemes, points on smooth quadrics, curves), or for special schemes as Gorenstein or partial intersections.

Administrative experiences:

At the Mathematics Department of University of Catania
President of Corso di Laureain Mathemathics: 1990 -1993
Director of the Math Library: 1994 —1996
President of the Committee for Positions at the Faculty of Sciences 1997 — up today
Director of the PhD program of the Mathematics Department since 2001

Conferences and meeting organized and co-organized:

Convegno di Geometria Algebrica, Catania May 1978
C.I.M.E. on Complete Intersections, Acireale (Catania) 1983
General Meeting of Unione Matematici Italiani, Catania 1991
Pragmatic ‘97, Catania May — June 1997
Syzygies Meeting, Catania June 1997
Conference in honour od David Buchsbaum, Catania-Roma-Genova April — May 1998
Pragmatic ’98, Catania June 1998
Pragmatic 2000, Catania June — July 2000
Conference on Commutative Algebra and Algebraic Geometry (in honour of the 60th birthday of Silvio Greco), Catania 11-13 April 2001
Pragmatic 2001, Catania 11-29 June 2001
Workshop on Exterior Algebra Methods and Other New Directions, Erice 8-15 September 2001
Conference on zero-dimensional schemes and related topics (in honor of Tony Geramita on the occasion of his 60th birthday) La Perla Ionica (Acireale) 6-8 Giugno 2002
Pragmatic 2002, Catania 9-27 September 2002

Other professional activities

Member of the editorial board of Le Matematiche: 1996-1999
Reviewer of A.M.S.
Co-editor of special volume of Le Matematiche dedicated to Pragmatic ’97
Co-editor of Proceedings of the Meetings in honour of David Buchsbaum, special volume of JPAA (2000)
Member of G.N.S.A.G.A.: 1972 — up today
Member of Europroj: 1993 — 1998
Member of Eager: 2000 up to know


Borsa di studio per il potenziamento della Matematica: 1965, 1966, 1967
N.A.T.O. — C. N.R. fellowship 1978/79, 1979/80


M.U.R.S.T. (national project, ex 40%) 1980 — up today
M.U.R.S.T. (local university project, ex 60%), director of the research 1989 — up today
I.N.D.A.M. (director of a joint project among the Universities of Catania, Messina and Reggio Calabria)

Supervisor of Laurea degrees and PhD:

  1. Supervisor of more than 100 theses of Laurea Degree on various subjects in Algebra and Geometry (1975 — up today);
  2. Supervisor of the PhD student Giuseppe Zappalà (1998) , 0-dimensional subschemes of irreducible curves of P3;
  3. Supervisor of the PhD student Elena Guardo (2000), Fat points schemes;
  4. Supervisor of the PhD student Lucia Marino (in progress), Binomial ideals and toric varieties.


Conferences, Seminars and talks (some of them)

G.N.S.A.G.A. annual meeting, Siena 1973
G.N.S.A.G.A. annual meeting, L’Aquila 1976
Torino Politecnico 1977 (Hilbert algebras)
Northeastern University 1979
Sherbrooke University 1979
Torino Politecnico 1980 (On the canonical element conjecture)
Trento June1981
G.N.S.A.G.A. annual meeting, Modena October1981
Queen’s University 1982
Congress of U.M.I., Perugia September 1983
University of Siena 1986
University of Palermo 1987
Kaiserslautern 1988
Nice 1992
Ravello ’92
Ithaca N.Y. 1993
Northeastern University, Boston October 1993
Belaterra, Barcelona July 1996
Trieste University, 1997
C.C.A.A.G. Messina ’99
Workshop on Zero-dimensional schemes, Napoli 2000
University of Messina July 2000
Queen’s University, Kingston Ontario (Canada) July 2001
Seminars on Commutative Algebra and Algebraic Geometry
at the Math Depart of University of Catania, every year since 1972 up today


Books and Monographs:

1) Introduzione ai metodi omologici in Algebra Commutativa.
Quaderni della Facoltà di Ingegneria dell’Università di Catania n. 1 (1978)

2) Congetture omologiche in Algebra Commutativa
Quaderni dei gruppi di ricerca del CNR (1981)

3) Complete intersections and Golod ideals
(by Eugene Gover with the collaboration of Alfio Ragusa)
Dipartimento di Matematica Università di Catania and Department of Mathematics of
Northeastern University (1984)

4) Esercizi di Algebra (Teoria degli insiemi, Teoria dei gruppi, Teoria degli anelli)
(in collaborazione con C. Sparacino)
Casa Editrice Zanichelli (1992)

5) Corso di Algebra Lineare (con esercizi svolti)
(in collaborazione con S. Giuffrida)
Casa Editrice Il Cigno Galileo Galilei (1998)


Scientific Papers

6) Sulla permanenza degli anelli di Krull e completamente integralmente chiusi rispetto a certi tipi di omomorfismi.
(with R. Maggioni)
Rend.-Circ.-Mat.-Palermo (2) 24 (1975), no. 3, 255--266.
7) lgebras for which the generalized Hilbert nullstellensatz holds.
(with R. Maggioni)

Annali-dell'Universita-di-Ferrara.-Nuovo-Serie.-Sezione-VII.-Scienze-Matematiche, 25 (1979), 205--218.
8) On openness of Hn-locus and semicontinuity of n-deviation.
Proceedings-of-the-American-Mathematical-Society 80 (1980), no. 2, 201--209.
9) On some conditions of regularity, in terms of existence of a good basis of syzygies.
(with C. Massaza)
J.-Algebra 70 (1981), no. 2, 493--516.
10) A homological invariant associated with the ideals of a local ring.
Unione-Matematica-Italiana.-Bollettino.-D.-Serie-VI 2 (1983), no. 1, 147--166.
11) Some conditions on the homology groups of Koszul complex.
(with C. Massaza)
Pacific-J.-Math. 111 (1984), no. 1, 137--161
12) Conn
ections between Hilbert function and geometric properties for a finite set of points in P2.
(with R. Maggioni)
Le-Matematiche 39 (1984), no. 1-2, 153--170 (1988).
13) Nonsingular curves passing through points of P2 in generic position I
(with R. Maggioni)
Journal-of-Algebra 92 (1985), no. 1, 176--193, 194--207.
14) Nonsingular curves passing through points of P2 in generic position II
(with R. Maggioni)
Journal-of-Algebra 92 (1985), no. 1, 176--193, 194--207.
15) Koszul complexes with isomorphic homology.
(with E. Gover)
Math.-Scand. 60 (1987), no. 1, 39--51
16) Construction of smooth curves of P3 with assigned Hilbert function and generators’ degrees
(with R. Maggioni)
Le-Matematiche 42 (1987), no. 1-2, 195--209 (1989).
17) On the cohomology grousp of linked schemes
(with R. Maggioni)
Boll.-Un.-Mat.-Ital.- A.-Serie-VII 2 (1988), no. 2, 269--276
18) Hilbert functions of generic plane sections of curves of P3
(with R. Maggioni)
Invent.-Math. 91 (1988), no. 2, 253--258.
19) On the postulation of 0-dimensional suschemes on a smooth quadric
(with S. Giuffrida and R. Maggioni)
Pacific-J.-Math. 155 (1992), no. 2, 251--282.
20) On the Lüroth semigroup of curves lying on a smooth quadric
(with G. Paxia and G. Raciti)
Manuscripta-Math. 75 (1992), no. 3, 225--246.
21) Uniform position property and Hilbert function of points lying on a smooth quadric
(with G. Paxia and G. Raciti)
J.-Algebra 149 (1992), no. 1, 102--121.
22) Resolutions of 0-dimensional subschemes of a smooth quadric
(with S. Giuffrida and R. Maggioni)
Collection: Zero-dimensional schemes (Ravello, 1992), 191--204
Proceedings of Int. Conf. on Zero-dimensional schemes Ravello 1992 W. De Gruyter, 191-204
23) Generic quadric sections of irreducible curves
(with G. Paxia)
Comm.-Algebra 22 (1994), no. 5, 1843--1859.
24) Irreducible Buchsbaum curves
(with G. Paxia)
Comm.-Algebra 23 (1995), no. 8, 3025--3031.
25) Resolutions of generic points lying on a smooth quadric
(with S. Giuffrida and R. Maggioni)
Manu. Math.91, 421-444 (1996)
26) Generic quadric sections of irreducible Buchsbaum curves.
(with G. Paxia)
J.-Pure-Appl.-Algebra 119 (1997), no. 1, 97--111.
27) Betti numbers of space curves bounded by Hilbert functions
(with R. Maggioni)
Le-Matematiche] 52 (1997), no. 1, 217--232 (1998).
28) Postulation of subschemes of irreducible curves on a quadric surface functions
(with G. Zappalà)
Rend.Circ.Matem. Palermo vol.48 (1999)
29) Properties of 3-codimensional Gorenstein schemes
(with G. Zappalà)
Comm. In Algebra, 29 (1), 303-318 (2001)
30) Gorenstein schemes on general surfaes
(with G. Zappalà)
Nagoya Math. J. Vol.162, 111-125 (2001)
31) Partial intersections and graded Betti numbers
(with G. Zappalà)
Submitted for publication on Beitr„ge zur Algebra und Geometrie (2001)
32) Partial Gorenstein in codimension 3
(with G. Zappalà)
Proceedings of Conference on Commutative Algebra and Algebraic Geometry, Catania 11-13
April 2001

Unpublished papers

33) A classification of arithmetically Cohen Macaulay varieties with given Hilbert function.
(with R. Maggioni) (1985)