
Education

Ph.D. in Mathematics, May 18, 1995
Rutgers University, New Brunswick, NJ (USA)
Thesis: Blowups of links of
irreducible varieties
Advisor: Prof.
Wolmer
V. Vasconcelos.
B.S. in Mathematics, July 12, 1990
Università degli Studi di Padova, Padova (Italy)
Thesis: Variazioni su un tema
di Poncelet
Advisor: Prof.
Francis J. Sullivan.

Positions Held

2007 Associate Professor at
the University of Kentucky.
200106 Assistant Professor at
the University of Kentucky.
199800 Visiting Research Instructor at
Michigan State University.
199698 Visiting Assistant Professor at
Purdue University.
199596 Assistant Instructor at
Rutgers University.

Other Positions

200708 Visiting Associate Professor at
Purdue University.
200507 Adjunct Assistant Professor at
the University of Notre Dame.
200405 Rev. Kenna Visiting Assistant Professor at
the University of Notre Dame.
2002 General Member at
MSRI (Berkeley), Fall semester.
2000 Visiting Scholar at
Michigan State University, Fall semester.

Research Interest

Commutative, Combinatorial and Computational Algebra.

Publications


Sally modules of mprimary
ideals in local rings,
Comm. Algebra 37 (2009), 45034515.



Monomial and Toric ideals associated to Ferrers graphs
(with U. Nagel), Trans. Amer. Math. Soc. 361
(2009), 13711395.



Specializations of Ferrers ideals
(with U. Nagel), J. Algebraic Comb. 28
(2008), 425437.



Hilbert coefficients of ideals with a view
toward blowup algebras
(with C. Polini), in Syzygies and
Hilbert Functions, Lecture Notes in Pure and
Applied Mathematics 254 (2007), 4165.



Multiplicity of the special fiber ring of
blowups
(with C. Polini
and W.V. Vasconcelos), Math.
Proc. Camb. Phil. Soc. 140 (2006), 207219.



Integral closure of ideals and annihilators of homology
(with C. Huneke, D. Katz and W.V. Vasconcelos),
Lecture Notes in Pure and Applied Mathematics
244 (2006), 3348.



Depth of associated graded rings via Hilbert
coefficients of ideals
(with M.E. Rossi and C. Polini), J. Pure
Appl. Algebra (special issue in honor of W.V.
Vasconcelos) 201 (2005), 126141.



Core of projective dimension one modules
(with C. Polini and B. Ulrich), manuscripta math. 111 (2003),
427433.



CohenMacaulayness of special fiber rings
(with L. Ghezzi,
C. Polini and B. Ulrich), Comm. Algebra 31 (special issue
in honor of S. Kleiman) (2003), 37133734.



Core and residual intersections of ideals
(with C. Polini
and B. Ulrich), Trans. Amer. Math. Soc. 354 (2002),
25792594.



The structure of the core of ideals
(with C. Polini and B. Ulrich), Math. Ann. 321 (2001), 89105.



A class of strongly CohenMacaulay ideals
(with C. Polini), Bull. London Math. Soc.
33 (2001), 662668.



Gaussian ideals and the DedekindMertens lemma
(with S. Glaz), Lecture Notes in Pure and Applied Mathematics
217 (2001), 131144.



On residually S_{2} ideals
and projective dimension one modules
(with C. Polini), Proc. Amer. Math. Soc. 129
(2001), 13091315.



A generalized DedekindMertens lemma and its converse
(with W. Heinzer and C. Huneke),
Trans. Amer. Math. Soc. 350 (1998),
50955109.



Sally modules and associated graded rings
(with C. Polini and M. Vaz Pinto), Comm. Algebra,
26 (1998), 26892708.



On the integral closure of ideals
(with C. Huneke and W.V. Vasconcelos), manuscripta
math. 95 (1998), 331347.



Generic Gaussian ideals
(with W.V. Vasconcelos and R.H. Villarreal),
J. Pure Appl. Algebra 125 (1998), 117127.



Reduction number of links of irreducible varieties
(with C. Polini), J. Pure Appl. Algebra 121
(1997), 2943.



Links of prime ideals and their Rees Algebra
(with C. Polini), J. Algebra 178 (1995), 224238.



Blowups of links of irreducible varieties,
Ph.D. Thesis, Rutgers University, 1995.



Links of prime ideals
(with C. Polini and W.V. Vasconcelos), Math. Proc.
Camb. Phil. Soc. 115 (1994), 431436.

Books


Algebra, Geometry and Their
Interactions
(A. Corso, J. Migliore and C. Polini, Eds.),
Contemp. Math. 448, Amer. Math. Soc., Providence, RI, 2007.



Commutative Algebra: Geometric, Homological
Combinatorial and Computational Aspects
(A. Corso, P. Gimenez, M. Vaz Pinto and S. Zarzuela, Eds.),
Lecture Notes in Pure and Applied Mathematics 244,
Chapman & Hall/CRC, Boca Roton, 2006.

Lecture Notes


MA 109 Lecture Notes,
ISBN 1426626920, Thomson Learning Inc., 2006.

Work in Progress


Special fiber ring of blowups of ideals with good
residual properties
(with C. Polini), in preparation.



On the integral closure of modules
(with C. Polini, A. Simis And B. Ulrich), in preparation.

Grants and Awards


NSF sponsored American Institute of Mathematics
Workshop: , Palo Alto, December 2006.



NSF OISE0551104 grant: USBrazil visit program, 200607.



NSF DMS0509607 grant:
Midwest Algebra, Geometry and their Interactions
Conference (MAGIC05), October 811, 2005.



IMA Partecipating Institution Conference grant:
Midwest Algebra, Geometry and their Interactions
Conference (MAGIC05), October 811, 2005.



MSRI Network Conference grant:
Midwest Algebra, Geometry and their Interactions
Conference (MAGIC05), October 811, 2005.



NSF DMS0313597 grant: Bluegrass Algebra Conference,
April 1113, 2003.



UK Vice President for Research grant:
Bluegrass Algebra Conference, April 1113, 2003.



General Member at MSRI (Berkeley), Fall semester 2002.



UK Faculty Research Fellowship,
Summer 2001.



AMS travel grant: Mathematical
Challenges of the 21^{st} Century at UCLA,
Los Angeles, CA (August 712, 2000).



NATO/CNR Advanced Fellowships Programme recipient,
Purdue University, 1997/98.



CNR postdoctoral fellow, Rutgers University, 1995/96.



CNR fellow, Rutgers University, 1991/92.



Laurea, Summa cum Laude, Università degli Studi
di Padova, Italy, 1990.



CNR dissertation fellow, Università degli Studi
di Padova,
Italy, 1989/90.

Professional Activities

Organizer

(with C. Polini and B. Ulrich) Special
Session on Commutative Algebra and Algebraic Geometry,
AMS Sectional Meeting #1016, Notre Dame, Indiana (April 89, 2006);



(with J. Migliore and C. Polini) Midwest
Algebra, Geometry and their Interactions Conference
(MAGIC05), University of Notre Dame,
Notre Dame, IN (October 811, 2005);



(with C. Polini and W.V. Vasconcelos) Special
Session on Commutative Algebra and
Algebraic Geometry,
AMS Sectional Meeting #997,
Lawrenceville, New Jersey (April 1718, 2004);



(with R. Villarreal) Special
Session on Commutative Algebra,
XV Coloquio Latinoamericano de Algebra,
Cocoyoc, Mexico (July 2026, 2003);



(with N. Andruskiewitsch, J.A. de la
Peña, C. Geiss, V. Khartchenko, F. Raggi, M.J. Redondo, E.
Vallejo, R. Villarreal) of the XV Coloquio
Latinoamericano de Algebra, Cocoyoc, Mexico (July 2026,
2003);



(with P. Gimenez and S. Zarzuela) Special
Session on Commutative Algebra,
1^{th} International Joint
Meeting of the American Mathematical Society and
the Real Sociedad Matemàtica Española,
Seville, Spain (June 1821, 2003);



(with U. Nagel) Bluegrass
Algebra Conference, in concurrence with the
3^{rd}
HaydenHoward Lecture by C. Huneke, University of Kentucky,
Lexington, KY
(April 1113, 2003);



(with J. Elizondo, X. GomezMont and D. Jorgensen)
Special Session in Algebraic Geometry and
Commutative Algebra,
4^{th} International Joint Meeting of the AMS and the Sociedad
Matemàtica Mexicana,
Denton, TX (May 1922, 1999).


Referee

Advances in Mathematics;
American Mathematical Monthly;
Communications in Algebra;
International Journal of Mathematics and
Mathematical Sciences
Journal of Algebra;
Journal of Combinatorial Theory Series A;
Journal of Pure and Applied Algebra;
Proceedings of the American Mathematical Society;
Rocky Mountain Journal of Mathematics.


Reviewer

Zentralblatt; Mathematical Reviews
(reviews).


Member

American Mathematical Society (AMS), since 1991;
Unione Matematica Italiana (UMI), since 1992.

Noteworthy Invitations


Eighth Meeting on Commutative Algebra and Algebraic
Geometry (ALGA), Instituto Nacional de Matemática
Pura e Aplicada (IMPA), Rio de Janeiro, Brasil
(July, 2006).



International Conference on Commutative Algebra and its
Interaction with Algebraic Geometry, Centre International
de Recontres Mathématiques (CIRM), Luminy, France
(May, 2006).



CIMPAUNESCO School and Conference on Commutative Algebra,
Institute of Mathematics of the Vietnamese Academy of
Science and Technology, Hanoi, Vietnam
(January, 2006).



Workshop on Commutative Algebra: Homological and
Birational Theory, Banff International Research Station
(BIRS), Canada (September, 2004).



XVIII Escola de Álgebra, Universidade de Campinas,
Brasil
(July, 2004).



Midwest Commutative Algebra and Geometry Meeting:
a conference in honor of the 65th birthday of
Joseph Lipman, Purdue University
(May, 2004).



Lisbon Conference on Commutative Algebra, Lisbon,
Portugal (June, 2003).



International Conference on Commutative Algebra and its
Interactions with Algebraic Geometry, CIRM, Luminy, France
(June, 2003).



Commutative Algebra: Hilbert functions, homological
methods, and combinatorial aspects, First
Joint International Meeting of the American Mathematical
Society and the Unione Matematica Italiana, Pisa, Italy
(June, 2002).



Special Session on Commutative Algebra and
Algebraic Geometry,
First Joint International Meeting between the American
Mathematical Society and the Société
Mathématique de France, Lyon, France
(July, 2001).



Special Session on Commutative Algebra and
Algebraic Geometry, Third Joint Meeting of the American
Mathematical Society and the Sociedad Mathematica
Mexicana, Oaxaca, Mexico (December, 1997).



one hour invited talk at the Encuentro Nacional de
Algebra y Geometria Algebrica, Centro de
Investigacion en Matematicas (CIMAT), Guanajuato,
Mexico (August, 1997).



Summer School on
Commutative Algebra, Centre de Recerca
Matemàtica/Universitat Autònoma de Barcelona,
Bellaterra, Spain (July, 1996).



Workshop on Commutative Algebra and its Relation
to Combinatorics and Computer Algebra, International
Centre for Theoretical Physics (ICTP), MiramareTrieste,
Italy (May, 1994).

Other Talks & Conferences


AMS Sectional Meeting, Notre Dame
(April, 2006).



Universidade Federal de Pernambuco, Recife, Brazil
(August, 2005).
Universidade Federal de Pernambuco, Recife, Brazil
(July, 2004).



School on Commutative Algebra and Interactions with
Algebraic Geometry and Combinatorics, ICTP, Trieste,
Italy (June, 2004).



University of Notre Dame, Algebra and Geometry Seminar
(March, 2004).



American Mathematical Society Regional
Meeting, Tallahassee
(March, 2003).



KUMUNU: 5^{th} Algebra Day, University of Kansas
(September, 2003).



XV Coloquio Latinoamericano de Algebra, Cocoyoc,
Mexico (July, 2003).



1^{th} International Joint Meeting of the AMS
and the Real Sociedad Matematica Española, Seville,
Spain (June, 2003).



University of Notre Dame
(March, 2003).



Purdue University
(March, 2003).



Rutgers University
(September, 2002).



Instituto Tecnico Superior, Lisbon, Portugal
(July, 2002).



Current Trends in Commutative Algebra,
Centro Internazionale di Ricerca Matematica,
Levico, Italy (June, 2002).



American Mathematical Society Regional Meeting,
Montreal (May, 2002).



American Mathematical Society Regional Meeting,
Ann Arbor (March, 2002).



KUMUNU: 3^{rd} Algebra Day,
University of Kansas (September, 2001).



Algèbre commutative: Interactions avec la
géométrie algébrique,
Institut Fourier, Grenoble, France (July, 2001).



Rutgers University (May, 2001).



Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Lawrence, KS (March, 2001).



Commutative Algebra
Seminar, University of Oregon (March, 2001).



Algebra Seminar, University of
Oregon (March, 2001).



American Mathematical Society Regional Meeting, New York,
NY (November, 2000).



Commutative and Computational
Algebra Seminar, Rutgers University (November, 2000).



Mathematical Challenges of the 21st Century at UCLA,
Los Angeles, CA (August, 2000).



Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Notre Dame, IN (April, 2000).



Department of Mathematics Colloquium,
University of Kentucky, Lexington, KY
(March, 2000).



Department of Mathematics Colloquium, New Mexico State
University, Las Cruces, NM (March, 2000).



Department of Mathematics Colloquium,
University of North Carolina, Charlotte, NC
(February, 2000).



Special Session on Effective Methods and
Commutative Algebra, American
Mathematical Society Annual Meeting,
Washington, DC (January, 2000).



Department of Mathematics Colloquium, Wayne State
University, Detroit, MI (December, 1999).



Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Charlotte, NC (October, 1999).



Department of Mathematics Colloquium, Hope College
(April, 1999).



Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
UrbanaChampaign, IL (March, 1999).



American Mathematical Society Annual Meeting,
San Antonio, TX (January, 1999).



Department of Mathematics Colloquium, University of
Nebraska at Lincoln (October, 1998).



University of Nebraska at Lincoln
(October, 1998).



Mathematics and Statistics Centennial Celebration,
University of Nebraska at Lincoln (May, 1998).



Special Session on Commutative
Algebra and Algebraic Geometry, American Mathematical
Society Annual Meeting, Baltimore, MD, (January, 1998).



Midwest Algebraic Geometry conference,
University of Notre Dame (November, 1997).



Rutgers University (May, 1997).



Michigan
State University (March, 1997).



Special Session on Computational Algebraic Geometry,
American Mathematical Society Annual Meeting, San Diego,
CA (January, 1997).



SUNY at Albany
(December, 1996).



American Mathematical Society Regional Meeting, Columbia,
MO (November, 1996)



Route 81 Regional Conference on Algebraic Geometry and
Commutative Algebra, Albany, NY (October, 1996)



Michigan State University
(October, 1996).



Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting, Lawrenceville,
NJ (October, 1996).



Michigan State University
(March, 1996).



American Mathematical Society Annual Meeting, Orlando, FL
(January, 1996).



American Mathematical Society Regional Meeting, Kent,
OH (November, 1995).



Tight Closure, Big CohenMacaulay Algebras, and
Uniform ArtinRees Theorem, CBMS Conference,
North Dakota State University, Fargo, ND (June,
1995).



Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting, Hartford, CT
(March, 1995).



Special Session on Commutative Algebra:
Rees Algebras and Related Topics, American Mathematical
Society Annual Meeting, San Francisco, CA (January,
1995).



Joint USItalian Workshop on Hilbert Functions
and Related Topics, MSI Cornell University, Ithaca,
NY (October, 1993).



Algebraic GeometryInteractions between Commutative
Algebra and Algebraic Geometry, University of Missouri,
Columbia, MO (May, 1993).

