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Education
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Ph.D. in Mathematics, May 18, 1995
Rutgers University, New Brunswick, NJ (USA)
Thesis: Blow-ups 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.
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Positions Held
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2007- Associate Professor at
the University of Kentucky.
2001-06 Assistant Professor at
the University of Kentucky.
1998-00 Visiting Research Instructor at
Michigan State University.
1996-98 Visiting Assistant Professor at
Purdue University.
1995-96 Assistant Instructor at
Rutgers University.
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Other Positions
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2007-08 Visiting Associate Professor at
Purdue University.
2005-07 Adjunct Assistant Professor at
the University of Notre Dame.
2004-05 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.
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Research Interest
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Commutative, Combinatorial and Computational Algebra.
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Publications
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Sally modules of m-primary
ideals in local rings,
Comm. Algebra 37 (2009), 4503-4515.
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Monomial and Toric ideals associated to Ferrers graphs
(with U. Nagel), Trans. Amer. Math. Soc. 361
(2009), 1371-1395.
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Specializations of Ferrers ideals
(with U. Nagel), J. Algebraic Comb. 28
(2008), 425-437.
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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), 41-65.
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Multiplicity of the special fiber ring of
blowups
(with C. Polini
and W.V. Vasconcelos), Math.
Proc. Camb. Phil. Soc. 140 (2006), 207-219.
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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), 33-48.
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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), 126-141.
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Core of projective dimension one modules
(with C. Polini and B. Ulrich), manuscripta math. 111 (2003),
427-433.
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Cohen-Macaulayness of special fiber rings
(with L. Ghezzi,
C. Polini and B. Ulrich), Comm. Algebra 31 (special issue
in honor of S. Kleiman) (2003), 3713-3734.
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Core and residual intersections of ideals
(with C. Polini
and B. Ulrich), Trans. Amer. Math. Soc. 354 (2002),
2579-2594.
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The structure of the core of ideals
(with C. Polini and B. Ulrich), Math. Ann. 321 (2001), 89-105.
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A class of strongly Cohen-Macaulay ideals
(with C. Polini), Bull. London Math. Soc.
33 (2001), 662-668.
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Gaussian ideals and the Dedekind-Mertens lemma
(with S. Glaz), Lecture Notes in Pure and Applied Mathematics
217 (2001), 131-144.
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On residually S2 ideals
and projective dimension one modules
(with C. Polini), Proc. Amer. Math. Soc. 129
(2001), 1309-1315.
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A generalized Dedekind-Mertens lemma and its converse
(with W. Heinzer and C. Huneke),
Trans. Amer. Math. Soc. 350 (1998),
5095-5109.
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Sally modules and associated graded rings
(with C. Polini and M. Vaz Pinto), Comm. Algebra,
26 (1998), 2689-2708.
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On the integral closure of ideals
(with C. Huneke and W.V. Vasconcelos), manuscripta
math. 95 (1998), 331-347.
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Generic Gaussian ideals
(with W.V. Vasconcelos and R.H. Villarreal),
J. Pure Appl. Algebra 125 (1998), 117-127.
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Reduction number of links of irreducible varieties
(with C. Polini), J. Pure Appl. Algebra 121
(1997), 29-43.
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Links of prime ideals and their Rees Algebra
(with C. Polini), J. Algebra 178 (1995), 224-238.
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Blowups of links of irreducible varieties,
Ph.D. Thesis, Rutgers University, 1995.
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Links of prime ideals
(with C. Polini and W.V. Vasconcelos), Math. Proc.
Camb. Phil. Soc. 115 (1994), 431-436.
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Books
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Algebra, Geometry and Their
Interactions
(A. Corso, J. Migliore and C. Polini, Eds.),
Contemp. Math. 448, Amer. Math. Soc., Providence, RI, 2007.
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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.
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Lecture Notes
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MA 109 Lecture Notes,
ISBN 1426626920, Thomson Learning Inc., 2006.
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Work in Progress
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Special fiber ring of blowups of ideals with good
residual properties
(with C. Polini), in preparation.
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On the integral closure of modules
(with C. Polini, A. Simis And B. Ulrich), in preparation.
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Grants and Awards
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NSF sponsored American Institute of Mathematics
Workshop: , Palo Alto, December 2006.
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NSF OISE-0551104 grant: US-Brazil visit program, 2006-07.
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NSF DMS-0509607 grant:
Midwest Algebra, Geometry and their Interactions
Conference (MAGIC05), October 8-11, 2005.
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IMA Partecipating Institution Conference grant:
Midwest Algebra, Geometry and their Interactions
Conference (MAGIC05), October 8-11, 2005.
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MSRI Network Conference grant:
Midwest Algebra, Geometry and their Interactions
Conference (MAGIC05), October 8-11, 2005.
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NSF DMS-0313597 grant: Bluegrass Algebra Conference,
April 11-13, 2003.
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UK Vice President for Research grant:
Bluegrass Algebra Conference, April 11-13, 2003.
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General Member at MSRI (Berkeley), Fall semester 2002.
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UK Faculty Research Fellowship,
Summer 2001.
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AMS travel grant: Mathematical
Challenges of the 21st Century at UCLA,
Los Angeles, CA (August 7-12, 2000).
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NATO/CNR Advanced Fellowships Programme recipient,
Purdue University, 1997/98.
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CNR postdoctoral fellow, Rutgers University, 1995/96.
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CNR fellow, Rutgers University, 1991/92.
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Laurea, Summa cum Laude, Università degli Studi
di Padova, Italy, 1990.
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CNR dissertation fellow, Università degli Studi
di Padova,
Italy, 1989/90.
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Professional Activities
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Organizer
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(with C. Polini and B. Ulrich) Special
Session on Commutative Algebra and Algebraic Geometry,
AMS Sectional Meeting #1016, Notre Dame, Indiana (April 8-9, 2006);
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(with J. Migliore and C. Polini) Midwest
Algebra, Geometry and their Interactions Conference
(MAGIC05), University of Notre Dame,
Notre Dame, IN (October 8-11, 2005);
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(with C. Polini and W.V. Vasconcelos) Special
Session on Commutative Algebra and
Algebraic Geometry,
AMS Sectional Meeting #997,
Lawrenceville, New Jersey (April 17-18, 2004);
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(with R. Villarreal) Special
Session on Commutative Algebra,
XV Coloquio Latinoamericano de Algebra,
Cocoyoc, Mexico (July 20-26, 2003);
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(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 20-26,
2003);
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(with P. Gimenez and S. Zarzuela) Special
Session on Commutative Algebra,
1th International Joint
Meeting of the American Mathematical Society and
the Real Sociedad Matemàtica Española,
Seville, Spain (June 18-21, 2003);
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(with U. Nagel) Bluegrass
Algebra Conference, in concurrence with the
3rd
Hayden-Howard Lecture by C. Huneke, University of Kentucky,
Lexington, KY
(April 11-13, 2003);
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(with J. Elizondo, X. Gomez-Mont and D. Jorgensen)
Special Session in Algebraic Geometry and
Commutative Algebra,
4th International Joint Meeting of the AMS and the Sociedad
Matemàtica Mexicana,
Denton, TX (May 19-22, 1999).
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Referee
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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.
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Reviewer
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Zentralblatt; Mathematical Reviews
(reviews).
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Member
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American Mathematical Society (AMS), since 1991;
Unione Matematica Italiana (UMI), since 1992.
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Noteworthy Invitations
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Eighth Meeting on Commutative Algebra and Algebraic
Geometry (ALGA), Instituto Nacional de Matemática
Pura e Aplicada (IMPA), Rio de Janeiro, Brasil
(July, 2006).
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International Conference on Commutative Algebra and its
Interaction with Algebraic Geometry, Centre International
de Recontres Mathématiques (CIRM), Luminy, France
(May, 2006).
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CIMPA-UNESCO School and Conference on Commutative Algebra,
Institute of Mathematics of the Vietnamese Academy of
Science and Technology, Hanoi, Vietnam
(January, 2006).
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Workshop on Commutative Algebra: Homological and
Birational Theory, Banff International Research Station
(BIRS), Canada (September, 2004).
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XVIII Escola de Álgebra, Universidade de Campinas,
Brasil
(July, 2004).
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Midwest Commutative Algebra and Geometry Meeting:
a conference in honor of the 65th birthday of
Joseph Lipman, Purdue University
(May, 2004).
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Lisbon Conference on Commutative Algebra, Lisbon,
Portugal (June, 2003).
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International Conference on Commutative Algebra and its
Interactions with Algebraic Geometry, CIRM, Luminy, France
(June, 2003).
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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).
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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).
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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).
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one hour invited talk at the Encuentro Nacional de
Algebra y Geometria Algebrica, Centro de
Investigacion en Matematicas (CIMAT), Guanajuato,
Mexico (August, 1997).
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Summer School on
Commutative Algebra, Centre de Recerca
Matemàtica/Universitat Autònoma de Barcelona,
Bellaterra, Spain (July, 1996).
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Workshop on Commutative Algebra and its Relation
to Combinatorics and Computer Algebra, International
Centre for Theoretical Physics (ICTP), Miramare-Trieste,
Italy (May, 1994).
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Other Talks & Conferences
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AMS Sectional Meeting, Notre Dame
(April, 2006).
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Universidade Federal de Pernambuco, Recife, Brazil
(August, 2005).
Universidade Federal de Pernambuco, Recife, Brazil
(July, 2004).
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School on Commutative Algebra and Interactions with
Algebraic Geometry and Combinatorics, ICTP, Trieste,
Italy (June, 2004).
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University of Notre Dame, Algebra and Geometry Seminar
(March, 2004).
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American Mathematical Society Regional
Meeting, Tallahassee
(March, 2003).
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KUMUNU: 5th Algebra Day, University of Kansas
(September, 2003).
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XV Coloquio Latinoamericano de Algebra, Cocoyoc,
Mexico (July, 2003).
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1th International Joint Meeting of the AMS
and the Real Sociedad Matematica Española, Seville,
Spain (June, 2003).
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University of Notre Dame
(March, 2003).
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Purdue University
(March, 2003).
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Rutgers University
(September, 2002).
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Instituto Tecnico Superior, Lisbon, Portugal
(July, 2002).
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Current Trends in Commutative Algebra,
Centro Internazionale di Ricerca Matematica,
Levico, Italy (June, 2002).
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American Mathematical Society Regional Meeting,
Montreal (May, 2002).
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American Mathematical Society Regional Meeting,
Ann Arbor (March, 2002).
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KUMUNU: 3rd Algebra Day,
University of Kansas (September, 2001).
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Algèbre commutative: Interactions avec la
géométrie algébrique,
Institut Fourier, Grenoble, France (July, 2001).
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Rutgers University (May, 2001).
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Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Lawrence, KS (March, 2001).
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Commutative Algebra
Seminar, University of Oregon (March, 2001).
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Algebra Seminar, University of
Oregon (March, 2001).
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American Mathematical Society Regional Meeting, New York,
NY (November, 2000).
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Commutative and Computational
Algebra Seminar, Rutgers University (November, 2000).
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Mathematical Challenges of the 21st Century at UCLA,
Los Angeles, CA (August, 2000).
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Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Notre Dame, IN (April, 2000).
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Department of Mathematics Colloquium,
University of Kentucky, Lexington, KY
(March, 2000).
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Department of Mathematics Colloquium, New Mexico State
University, Las Cruces, NM (March, 2000).
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Department of Mathematics Colloquium,
University of North Carolina, Charlotte, NC
(February, 2000).
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Special Session on Effective Methods and
Commutative Algebra, American
Mathematical Society Annual Meeting,
Washington, DC (January, 2000).
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Department of Mathematics Colloquium, Wayne State
University, Detroit, MI (December, 1999).
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Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Charlotte, NC (October, 1999).
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Department of Mathematics Colloquium, Hope College
(April, 1999).
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Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting,
Urbana-Champaign, IL (March, 1999).
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American Mathematical Society Annual Meeting,
San Antonio, TX (January, 1999).
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Department of Mathematics Colloquium, University of
Nebraska at Lincoln (October, 1998).
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University of Nebraska at Lincoln
(October, 1998).
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Mathematics and Statistics Centennial Celebration,
University of Nebraska at Lincoln (May, 1998).
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Special Session on Commutative
Algebra and Algebraic Geometry, American Mathematical
Society Annual Meeting, Baltimore, MD, (January, 1998).
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Midwest Algebraic Geometry conference,
University of Notre Dame (November, 1997).
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Rutgers University (May, 1997).
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Michigan
State University (March, 1997).
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Special Session on Computational Algebraic Geometry,
American Mathematical Society Annual Meeting, San Diego,
CA (January, 1997).
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SUNY at Albany
(December, 1996).
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American Mathematical Society Regional Meeting, Columbia,
MO (November, 1996)
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Route 81 Regional Conference on Algebraic Geometry and
Commutative Algebra, Albany, NY (October, 1996)
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Michigan State University
(October, 1996).
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Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting, Lawrenceville,
NJ (October, 1996).
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Michigan State University
(March, 1996).
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American Mathematical Society Annual Meeting, Orlando, FL
(January, 1996).
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American Mathematical Society Regional Meeting, Kent,
OH (November, 1995).
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Tight Closure, Big Cohen-Macaulay Algebras, and
Uniform Artin-Rees Theorem, CBMS Conference,
North Dakota State University, Fargo, ND (June,
1995).
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Special Session on Commutative Algebra, American
Mathematical Society Regional Meeting, Hartford, CT
(March, 1995).
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Special Session on Commutative Algebra:
Rees Algebras and Related Topics, American Mathematical
Society Annual Meeting, San Francisco, CA (January,
1995).
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Joint US-Italian Workshop on Hilbert Functions
and Related Topics, MSI Cornell University, Ithaca,
NY (October, 1993).
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Algebraic Geometry-Interactions between Commutative
Algebra and Algebraic Geometry, University of Missouri,
Columbia, MO (May, 1993).
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