UTANO Rosanna

Personal data

Born in Milazzo (Messina), 04.09.1958
Married, 2 children

Education

1976-1980 University of Messina
7.10.1980 Undergraduate degree in Mathematics, University of Messina, 110/110 cum laude, advisor Prof. G. Restuccia
1983-1987 Ph. D. degree in Mathematics, Roma, 12/10/1988.
1987-1988 Research fellowship awarded by the Istituto Nazionale di Alta Matematica “Francesco Severi”, renewed for the academical year 1988-1989.

Professional activity

1980-81, 1981-82, 1982-83 Temporary teacher of Mathematics and Physics in some secondary schools in Milan
1988-89, 1989-90 Qualified teacher of Mathematics and Physics
1990-2001 Researcher in Algebra and Geometry, University of Messina
From 2001- Associate professor of Algebra in the Dipartment of Mathematics of the University of Messina
1.11.2004-31.10.2007 Director of undergraduate studies in Mathematics, University of Messina
2005-2015 Responsible of a local unit, in Messina, of a National Project : Progetto Lauree Scientifiche- "Orientation and teacher training - MATHEMATICS".

2015-18 She has been delegated to students' orientation for the Department of Mathematics and Computer Science, Physical Sciences and Earth Sciences,
• She is responsible for the University of Messina, of the project entitled "I Lincei for a new didactics in the school: a national network", Catania-Messina, since 2013.
• She is a member of the Scientific Committee of the Interdisciplinary Series "Algebra and its applications: between classic and modern", Aracne

Membership

UMI – Unione Matematica Italiana
EMS – European Mathematical Society
SIMAI - Società Italiana di Matematica Applicata e Industriale
INDAM – GNSAGA
Accademia Peloritana dei Pericolanti, Messina
Member of the Organizing Committee of several national or international meetings:
• "Conference on Commutative Algebra and Algebraic Geometry", Messina, June 16-20,1999 .
• “Resolutions, regularity and Groebner bases”, Messina, March 20 – 24, 2001.
• “ Workshop on Commutative Algebra”, Messina, March 18-20, 2002
• “ Workshop on Commutative Algebra with Applications in Geometry and Combinatorics”, Piraino (Messina), September 22-24, 2003.
• “Workshop on Commutative Algebra and Algebraic Geometry”, Piraino(Messina), September 20-24, 2004.
• “Workshop on Commutative Algebra, Algebraic Geometry and applications to different fields”, Brolo (Messina), September 12-15, 2007.
• Workshop on Rational Surfaces with Applications, Messina, Novembre 18-19, 2008.
• Workshop on “Geometrical and combinatorial aspects of Commutative Algebra”, Villafranca Tirrena (Messina), September 16-19, 2009,
• Minisymposium: Groebner bases and combinatorics: techniques and applications to concrete models, SIMAI 2010 , Cagliari, June 21-25 , 2010.
- Workshop in International School on Computational Algebra and Algebraic Geometry, Messina, October, 28-29 2011.
- Workshopin International School on Computational Algebra and Algebraic Geometry, Messina, October, 22-27 2012,
- “Two days of Commutative Algebra, Algebraic Geometry and Combinatorics, June, 11 and July 11, 2013, Messina.
Research day on problems in Commutative Algebra and Combinatorics, Messina, April 10, 2014.
- A Conference on combinatorial aspects in commutative algebra and graph theory, Messina, July 7, 2015
- Workshop On the Algebraic-Geometric Combinatoric Aspects of Projective Varieties, Messina, November12-13, 2015.
- ACCA&AP-SIMAI Meeting, Messina, November 2015.
- Workshop On the Algebraic and Geometric Classifications of Projective Varieties, Messina, June 20-24 Giugno 2016.
- Workshop Research days in Commutative Algebra and Combinatorics, Messina, May, 23-25, 2017
- Research days on Commutative Algebra and Algebraic Geometry (A.A. 2018-2019)
- One Day on Numerical Semigroups, Polyomino Ideals, Symmetric Algebras, Newton Polygons and Rational Surfaces, on line, Messina (Italy) – Messico, 1 Luglio 2022



Responsible of many research projects supported by the University of Messina:
1998 “Symmetric and exterior powers of a module "
1999 "Graded algebras "
2001 "Fitting conditions for modules having finite projective dimension”
2003 "Commutative algebra and combinatorics "
2004 "Invariants of graded algebras and Hopf algebras”
2005 "Commutative algebra: geometric and combinatoric aspects"
2006-07 "Invarianti di algebre graduate ed applicazioni"
From 2005 to 2009 Scientific responsible for a grant on a research project, titled: “Symmetric and Rees algebras of finitely generated modules on commutative rings”.
From 2009 to 2010 Scientific responsible of a research project for a postdoctoral grant, on a program titled "Deformations of the variety of Hankel ines in Pn in toric varieties", MAT/02 ,MAT/03

Member of many research projects supported by MIUR
1991 - 92 : "Legame tra le proprietà di A*, * ideale primo dell'anello A, e il modulo delle derivazioni Der(A*)", University of Messina and University of Dakar (Sénégal), responsibles Prof. Gaetana Restuccia, Prof. Hamet Seydi, supported by C.N.R.
1993 - 94 : "Congettura jacobiana" , University of Messina and University of Dakar (Sénégal), responsibles Prof. Gaetana Restuccia, Prof. Hamet Seydi, supported by C.N.R.
1994 - 95 : " Integrabilità e gruppi formali - Moduli di differenziali - Algebre stocastiche" , fondi M.P.I (60%).
1995 - 96 : " Geometria Integrale e spazi strutturati - Varietà kahleriane e quasi kahleriane" , fondi M.P.I (60%).
1996 - 97 : " Algebra Commutativa e Geometria Algebrica, " Prof. Claudio Pedrini
1997: " Azioni di gruppi formali e algebre di Hopf - Algebre (quasi) kahleriane", MURST (60%).
1997: "Applicazioni della Matematica per la tecnologia e la società", sottoprogetto "Calcolo simbolico", Comitato per la Matematica del C.N.R..
1998 - 99: "Geometria Algebrica, Algebra Commutativa e aspetti computazionali" (MURST 40%), Prof. Claudio Pedrini.
1999 – 2000 : " Algebra Commutativa e Combinatoria" (INdAM – GNSAGA), Prof. Gaetana Restuccia.
1999 – 2000 : “ Algebre di Hopf ed Applicazioni”, Main responsibles: Prof. H. Schneider (University of Monaco); Prof.ssa G. Restuccia (University of Messina).
2000 – 2001 ,2001-2002: “Algebra commutativa e computazionale”, Prof. Giuseppe Valla, University of Genova.
2002 – 2003 , 2003-2004: “Algebra commutativa e computazionale” (MIUR), Prof. Giuseppe Valla, University of Genova.
2005 – 2006 ,2006-2007: “Algebra commutativa e computazionale” (MIUR), Prof. Giuseppe Valla, University of Genova.
2008-2009 e 2009-2010 Progetto di Ricerca Nazionale: Algebra Commutativa e Combinatorica con applicazioni alla Geometria Algebrica, Prof. G. Valla (Univ. of Genova).

Teaching activity (from 2001)

2001-2002 Algebra I, Precorso, Algebraic Topology, I e II modulo,
2002-2003 Algebra I, Precorso, Linear Algebra, Algebra computazionale
2003-2004 Algebra I, Precorso, Linear Algebra, Algebra computazionale, Set Theory
2004-2005 Algebra I, Algebra III, Algebra lineare, Algebra computazionale, Set Theory
2005-2006 Algebra I, Algebra III, Linear Algebra, Algebra computazionale, Set Theory, Algebra computazionale (spec), Set Theory (spec)
2006-2007 Algebra I, Algebra III, Linear Algebra, Algebra computazionale, Set Theory, Algebra computazionale (spec), Set Theory(spec)
2007-2008 Algebra I, Algebra III, Linear Algebra, Set Theory, Algebra computazionale (spec), Set Theory(spec)
2008-2009 Algebra I, Linear Algebra, Set Theory, Algebra computazionale (spec), Set Theory(spec)
2009-2016 Algebra I, Commutative Algebra
2016-2018 Algebra I, Homological Algebra
2018 - today Algebra I, Higher Algebra
From 2001-2002 to 2008-09- Laboratorio di Didattica della Matematica (I modulo), SISSIS, classi 47/A e 48/A, Messina.
From 2006-07 to 2008-09 Storia della Matematica, classi 47/A e 48/A, SISSIS, Messina.



Main research interests.

Jacobian criteria of regularity and closure of singular locus- Excellent rings- Zariski-Lipman Conjecture in characteristic 0 and p>0 for reduced schemes.
Derivations, integrable derivations of rings – universal module of differentials and universal finite module of differentials of a ring containing a field – Commutative formal groups, commutative Hopf algebras and their actions on k-algebras.
Approssimation complexes of ideals and modules – Acyclicity criteria - Z – complex of a finitely generated module, having projective dimension > 1, on a noetherian commutative ring – Symmetric algebras of finitely generated modules, having finite projective dimension, on a noetherian commutative ring and their theoretic properties. Symmetric algebras of syzygy modules.. Binomial ideals associated to polyominoes.
Hilbert function and Betti numbers of graded ideals in the exterior algebra and of squarefree ideals in the polynomial ring - Extremal Betti numbers of graded ideals in polynomial rings and of monomial modules - Eisenbud-Goto conjecture for semigroup rings - Castelnuovo-Mumford regularity of graded algebras. Groebner bases of graded submodules of graded free modules on polynomial rings. Monomial modules. Generalized numerical semigroups.