Anna Guerrieri

Curriculum Vitæ


Education

Ph.D. in Mathematics, August 6, 1993
Purdue University, West Lafayette, IN (USA)
Thesis: On the depth of certain graded rings associated to an ideal
Advisor: Prof. Craig Huneke.

Laurea in Matematica (BS in Mathematics), July 15, 1986
Università degli Studi di Roma - La Sapienza, Roma (Italy)
Thesis: Le curve intersezione completa insiemistica in A3k
Advisor: Prof. Edoardo Sernesi.


Positions Held 2001 - present Professore Associato (Associate Professor) at the Department of Mathematics of the University of L'Aquila.
1994 - 2001 Ricercatore (Assistant Professor) at the Department of Mathematics of the University of L'Aquila.
1997-98 Visiting Scholar at the Department of Mathematics of Purdue University.
1993-94 Recipient of post-doctoral grants from CNR and INDAM (Italy).

Research Interests Primary: Commutative Algebra.
Secondary: Algebraic Geometry, Computational Algebra, and Homological Algebra.

Publications

On the Depth of the Associated Graded Ring of an m-primary ideal of a Cohen-Macaulay local ring, Jour. of Algebra 167 (1994), 745--757.

On the Depth of the Associated Graded Ring , Proc. of the AMS, 123 (1995), 11--20.

On the depth of certain graded rings associated to an ideal , Comm. in Algebra, 23, No.12, (1995), 4447--4460.

Hilbert coefficients of Hilbert filtrations (with M.E. Rossi), Jour. of Algebra, 199 (1998) no. 1, pp. 40-61.

On the Jacobian ideal of a trilinear form (with G. Boffi and W. Bruns), Jour. of Algebra, 197, pp. 521-534 (1997).

The Dedekind-Mertens formula and determinantal rings (with W. Bruns), Proc. Amer. Math. Soc. 127 (1999), pp. 657-663.

Estimates on the depth of the associated graded ring (with M. E. Rossi) Jour. of Algebra 211, pp. 457-471 (1999).

Primary decompositions of Jacobian ideals: an application of 1-genericity (with I. Swanson) Jour. of Algebra 226, 410--435 (2000).

Invariants of ideals with principal reduction (with M. D'Anna and W. Heinzer), to appear on Communications in Algebra.

Ideals having one-dimensional fiber cone (with M. D'Anna and W. Heinzer), to appear on Ideal Theoretic Methods in Commutative Algebra (editors: Anderson/Papick)- May 2001.

On the complete integral closure of the Rees algebra (with Stefania Gabelli), to appear on Ideal Theoretic Methods in Commutative Algebra (editors: Anderson/Papick)- May 2001.

On the ideal of minors of matrices of linear forms (with Irena Swanson)

Koszul homology and the coefficients of the Bhattacharya polynomial I (with Clare D'Cruz) in preparation.

Koszul homology and the coefficients of the Bhattacharya polynomial II (with Clare D'Cruz) in preparation.



Awards NATO/CNR Advanced Fellowships Programme recipient, Purdue University, 1997/98.
INDAM (National Institute of High Mathematics) Senior Research Fellowship recipient, University of Rome III, 1993/94.
CNR (Consiglio Nazionale delle Ricerche - Research National Council) Research Fellowship recipient, University of Rome "La Sapienza", 1992/93.
CNR Research Fellowship recipient, Purdue University, 1989/92.
INDAM fellow, Italy, 1986/1987.

Summer School Fellowship recipient, University of Perugia, August, 1986.

Laurea, Summa cum Laude, Università degli Studi di Roma - La Sapienza, Italy, 1986.

Professional Activities

Organizer (with Aldo Conca, Claudia Polini and Bernd Ulrich)
Special Session in Commutative Algebra: Hilbert Functions, Homological Methods, and Combinatorial Aspects - Pisa, Italy - June 12-16, 2002 - First Joint International Meeting of the AMS and the Unione Matematica Italiana

(with Irena Swanson)
Special Session in Effective methods and Commutative Algebra,
American Mathematical Society annual meeting,
Washington, D.C. (January 19-21, 2000).

(with Giorgio Ottaviani, Norberto Gavioli and Raffaella Paoletti)
Italian National Meeting
"Aspetti Computazionali in Algebra, Geometria e Logica";
University of L'Aquila,
October 21-22, 1996
sponsored by GNSAGA/CNR.

Referee -Journal of Algebra;
-Communications in Algebra;
-Graphs and Combinatorics.

Reviewer - Mathematical Reviews.

Member -Member of the Unione Matematica Italiana (UMI).

-Member of the European Mathematical Society (EMS).

-Member of the American Mathematical Society (AMS).

-Member of the European Women in Mathematics (EWM).

Future conferences and workshops

Current trends in Commutative Algebra - CIRM - Levico - June 2002

Title to be decided Algèbre commutative et ses interactions avec la gèomètrie algèbrique / Commutative algebra and its interactions with algebraic geometry - First Joint Mathematical International Meeting July 17-20, 2001 Lyon, France

On the ideal of minors of 1-generic matrices Workshop on computational and combinatorial aspects of Commutative Algebra - University of Essen May, 2000.

Noteworthy Talks

On the homological structure of the associated graded ring , two hours invited talk in the cicle Seminari d'algebra commutativa 99 - Cicle especial de conferencies (29 de juni - 1 de juliol) - University of Barcellona.

Primary decomposition and Jacobian ideals of multilinear forms , one hour invited talk in the program Young Algebra Seminar organized by the Department of Mathematics of the University or Rome - Tor Vergata (February, 8, 1999).

Primary decomposition, hyperdeterminants and Jacobian ideals of trilinear forms , Department of Mathematics Colloquium, New Mexico State University at Las Cruces (January, 1999).

Estimates on the depth of the associated graded ring, Conference in honor of David Rees - Exeter - Great Britain (August 1998).

On the structure of the associated graded ring, Colloquium - Osnabrueck University (December 1997).

On the Jacobian ideal of a certain trilenear form, Colloquium - Osnabrueck University (November 1996).

Hilbert coefficients of Hilbert filtrations, Summer School on Commutative Algebra, Centre de Recerca Matematica Universitat Autonoma de Barcelona, Bellaterra, Spain (July 16-26, 1996).

Sulla profondità di alcuni anelli graduati associati ad un ideale, Giornate di Geometria Algebrica ed Argomenti Correlati II, University of L'Aquila, January 1994.

On the Depth of the Associated Graded Ring of an m-primary ideal of a Cohen-Macaulay local ring, Workshop on Commutative Algebra, International Centre for Theoretical Physics (ICTP), Miramare-Trieste, Italy (September 14-25, 1992).

Other Talks & Conferences

Invariants of ideals with principal reductions, New Mexico State University, Las Cruces, New Mexico, USA. (January, 2000).

Invariants of ideals with principal reductions, University of Kansas, Lawrence, Kansas, USA. (January, 2000).

On the primary decomposition of the jacobian ideal of trilinear forms, Joint Mathematics Meetings, S.Antonio, Texas, USA. (January 13-16, 1999).

On the depth of the associated graded ring, Purdue University, West Lafayette, Indiana (April 1998).

Estimates on the depth of the associated graded ring, Las Cruces, New Mexico (April 1998).

On the Jacobian ideal of a trilinear form, Joint Mathematics Meetings, Baltimore, Maryland (January 7-10 1998).

On the Jacobian ideal of a trilenear form Purdue University, West Lafayette, Indiana (September 1997).

Sull'ideale Jacobiano di forme trilineari, University of Rome III (April 1997).

On the Jacobian ideal of a certain trilenear form, University of Essen - Germany (November 1996).

Anelli locali di Cohen-Macaulay con speciale dimensione di immersione, University of Rome ``La Sapienza" (April 1996).

A survey on the Rees Algebras, University of Essen - Germany (November 1995).

On the depth of certain graded algebras University of Rome ``Tor Vergata" (December 1993)

On the depth of certain graded algebras University of Genova (November 1993)

On the depth of the associated graded ring Universities of Rome "La Sapienza" and Rome III (April/May 1993)

Commutative Algebra, Representation Theory and Combinatorics - Conference in honor of David Buchsbaum - Northeastern University, Boston, USA, 1997.

Workshop on Commutative Algebra and its Relation to Combinatorics and Computer Algebra, International Centre for Theoretical Physics (ICTP), Miramare-Trieste, Italy (May 16 - May 24, 1994).

Commutative Algebra - Vechta, Germany (July 27 - August 1, 1994).

COCOA IV - Computational Commutative Algebra - Genova (May 29 - June 2, 1995).

Teaching Experience

Instructor (as Assistant professor) at the University of L'Aquila for the following courses:

Algebra Superiore (Spring 2000). (A first course in Commutative Algebra).

Algebra Computazionale (Spring 2000). (Course on the theory of Groebner Bases and their applications).

Algebra Computazionale (Spring 1999). (Course on the theory of Groebner Bases and their applications).

Algebra(Fall 1998) - collaborating with Carlo Scoppola.

Geometria per Fisica(Fall 1995, Spring 1996, Fall 1996, Spring 1997) - collaborating with Emilio Musso.

Matematica Discreta(Fall 1994, Fall 1995) - collaborating with Lucia Fania.

Algebra(Fall 1998) - collaborating with Giuseppe Baccella.



Instructor (as Postdoctoral fellow) at University of Rome - Tor Vergata for the following course for the Ph. D. Program:

Algebra Omologica(Spring 1994) - collaborating with Giandomenico Boffi.



Graduate Instructor at Purdue University for the following courses:

MATH 223 (Spring/Fall 1989, Spring/Fall 1990, Fall 1991, Spring 1992) - First course of Calculus for Management.

MATH 261 (Fall 1988, Spring 1991) - Second course of calculus for Engeneering.



Computer Languages User of computer systems like (La)TeX, (AMS)TeX, HTML, Macaulay and Macaualay II, Singular.

Personal I like languages. I often speak and read in English. I studied (and I can still read well) French. I am learning Ukrainian. For many years I was an activist in Amnesty International.


[ Home Page ] [ Teaching ] [ Contact Information] [ Send me an e-mail ]