CoCoA
  Computing in Commutative Algebra  



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Research and Education with CoCoA


Currently CoCoA is used by researchers in several countries. Most of them are Commutative Algebraists and Algebraic Geometers, but people working in different areas like Analysis and Statistics have also benefitted from our system.
Some articles which refer to CoCoA.

CoCoA is also used as the main system for teaching advanced courses in several Universities and is mentioned in some of the most used textbooks on Computational Algebra.
Besides Italy, the most intensive use is by Tomas Recio at the University of Santander (Spain), Anthony Geramita at the Queen's University (Canada), Martin Kreuzer at the University of Regensburg (Germany) and Dave Perkinson at Reed College (Oregon, USA).
Some courses which use CoCoA.

Some articles which refer to CoCoA.

(if you would like to add to this list, please fill in this form)

1999

  • A. Conca, G. Valla
    Hilbert function of powers of ideals of low codimension
    Math.Z., 230, 753-784 (1999)
     
  • G. Pistone, H.P. Wynn
    Finitely Generated Cumulants
    Statistica Sinica, To appear
     
  • E. Riccomagno, H.P. Wynn
    Groebner bases in experimental design: an overview
    Sigsam Bullettin, March, (1999)
     
  • R. Thomas
    Algebraic methods in integer programming
    Encyclopedia of Optimization, To appear
     

1998

  • M. Caboara
    Optimization of basic algorithms in Commutative Algebra
    PhdThesis, Univ. Of Pisa (1998)
     
  • M. Caboara and E. Riccomagno
    An algebraic computational approach to the identifiability of Fourier models
    J. Symb. Comput., 26, 245-260 (1998)
     
  • A. Conca
    Straightening law and powers of determinantal ideals of Hankel matrices
    Adv. Math., 138, 263-292 (1998)
     
  • R.A. Bates, B. Giglio, E. Riccomagno, H.P. Wynn
    Groebner basis methods in polynomial modelling
    Proceedings of COMPSTAT `98, Bristol 24-28th August 1998, 179-184 (1998)
     
  • D. La Macchia, F. Rossi
    On computational Galois theory. An algorithm to solve a cyclic equation
    Quaderni matematici Univ. Trieste, II, 432 (1998)
     
  • L. Robbiano
    Gröbner Bases and Statistic
    Gröbner Bases and Applications (Proc. of the Conf. 33 Years of Gröbner Bases) London Mathematical Society Lecture Notes Series, 251, 179--204 (1998)
     
  • L. Robbiano and M.P. Rogantin
    Full Factorial Designs and Distracted Fractions
    Gröbner Bases and Applications (Proc. of the Conf. 33 Years of Gröbner Bases) London Mathematical Society Lecture Notes Series, 251, 473--482 (1998)
     

1997

  • M. Caboara and L. Robbiano
    Families of Ideals in Statistic
    Proc. ISSAC '97. ACM Press, , 404--409 (1997)
     
  • A. Conca
    Hilbert function and resolution of the powers of the ideal of the rational normal curve
    J. Pure Appl. Algebra, To appear
     
  • T. Holliday, G. Pistone, E. Riccomagno, H.P. Wynn
    The Application of Algebraic Geometry to the Analysis of Designed Experiments: a case study
    Computational Statistics, 14, 213-231 (1997)
     

Some books which mention CoCoA.

  • W. W. Adams, P. Loustaunau
    An Introduction to Gröbner Bases
    Graduate Studies in Mathematics: Amer. Math. Soc., Providence, R.I. (1994).
     
  • D. Cox, J. Little, D. O'Shea
    Ideals, Varieties, and Algorithms
    Springer-Verlag, New York (1992).
     
  • D. Cox, J. Little, D. O'Shea
    Using Algebraic Geometry
    Springer-Verlag, New York (1998). (Graduate Texts in Mathematics, 185)
    496 pp. Paperback, ISBN 0-3879-8492-5. Hardcover, ISBN 0-3879-8487-9
     
  • J. Migliore
    Introduction to Liaison Theory and Deficiency Modules
    Birkhäuser, Progress in Mathematics 165, (1998).
    224 pp. Hardcover, ISBN 0-8176-4027-4.
     
  • M. Kreuzer, L. Robbiano
    Computational Commutative Algebra
    In preparation.
     

Some courses which use CoCoA.

(if you would like to add to this list, please fill in this form)
  • Lorenzo Robbiano (Anna Bigatti)
    Algebra Computazionale
    (Univ. of Genova, Italy)
    2 terms, for undergraduates and graduate students. Gröbner bases and applications to Commutative Algebra.

     
  • Vincenzo Ancona
    Matematiche Complementari
    (Universita` di Firenze (C.d.L. in Matematica))
    • Basic exercises on polynomials and ideals of polynomials;
    • computation of Groebner bases;
    • computation of resultants;
    • exercises on elimination theory;
    • exercises on the Hilbert Nullstellensatz;
    • exercises on the Hilbert polynomial;
    • construction of simple packages on matrices.


     
Please send comments or suggestions to cocoa@dima.unige.it
Last Update: 22 December 1999.