Louiza Fouli
Assistant Professor            
Department of Mathematical Sciences
New Mexico State University

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Address:   New Mexico State University
                 Department of Mathematical Sciences

                 P. O. Box 30001
                 Las Cruces, NM 88003-8001
Office hours : Tuesdays 2:30pm-4pm
                       Wednesdays 1:30pm-3pm
                           or by appointment.
E-mail: lfouli@math.nmsu.edu

Office: WH 214

Mailbox: SH 236

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Teaching Information:

· Fall 2009:
Calculus I and Analytic Geometry

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Research:

My research is in the area of Commutative Algebra. I graduated from the Department of Mathematics at Purdue University  under the direction of Professor Bernd Ulrich. Some of the things I am interested in are the study of the core of ideals and modules, residual intersection theory and the study of Rees algebras.

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Publications:

1. The core of ideals versus reduction numbers, in preparation.
2. What is a system of parameters ?, with Craig Huneke, in preparation.
   
3. A formula for the *-core of an ideal, with Janet Vassilev and Adela Vraciu, submitted for publication. Arxiv.
   
4. The cl-core of an ideal, with Janet Vassilev, submitted for publication.  Arxiv.
5. Annihilators of Graded Components of the Canonical Module and the Core of Standard Graded Algebras,  with Claudia Polini and Bernd Ulrich, to appear in Transactions of the American Mathematical Society. Arxiv.
   
6. The core of ideals in arbitrary characteristic, with Claudia Polini and Bernd Ulrich, Michigan Math. J. 57 (2008), 305-319. Arxiv
7. Computing the core of ideals in arbitrary characteristic, J. Algebra 319 (2008), 2855-2867. Arxiv.
8. A study on the core of ideals, Ph. D. thesis under the direction of Professor Bernd Ulrich.

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Professional Activities:

• Reviewer for Zentralblatt. Here’s more information.
• Organizing (with Lars W. Christensen, Ray Heitmann, and Dave Jorgensen) a Southwest Local Algebra Meeting (SLAM) at University of Texas, Arlington, March 6th-7th, 2010. More information coming soon.
• Organizing (with Janet Vassilev)  a special session on Trends in Commutative Algebra, AMS Sectional Meeting, Albuquerque, New Mexico, Aprl 2010. Here's more information.
  
• Organized (with Lars W. Christensen and Dave Jorgensen) a special session on Commutative Algebra, Module and Ideal Theory, AMS Sectional Meeting, Waco, Texas, October 2009. Here’s more information.

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Interesting Links:

· American Mathematical Society

· Association for Women in Mathematics

· Center for Commutative Algebra

· University of Cyprus, Department of Mathematics and Statistics

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