Overview of the Research Teams

Tecniche computazionali in Algebra Commutativa e Geometria Algebrica

General Information

• Organization: Dipartimento di Scienze Matematiche - Universita' di Trieste

• Size of the team: 6

• Team's manager: Fabio Rossi

• Email of the Team's manager: ROSSIF@UNIV.TRIESTE.IT

Contact Address

• Contact Name: Tecniche computazionali in Algebra Commutativa e Geometria Algebrica

• Name of the Department: Dipartimento di Scienze Matematiche

• Name of the Organization: Universita' di Trieste

• Street: Piazzale Europa, 1

• City: Trieste

• Postal Code: I-34100

• Email: ROSSIF@UNIV.TRIESTE.IT

• Phone: +39-40-6763267

• Fax: +39-40-6763256

Scientific Information

Subjects of Research

• Commutative Algebra

• Algebraic Geometry

• Invariant Theory

Applications of Computer Algebra

• Groebner basis techniques and their applications

Mathematical subjects studied with Computer Algebra

• Development of algorithms in module theory over a polynomial ring using Groebner basis thecniques and their implementations to solve computational problems in Commutative Algebra and Algebraic Geometry

• Development and improvements of algorithms in Invariant Theory with applications to computational Galois Theory and to the problem of solving algebraic systems

Computer Algebra Sofwares used

• CoCoA

• Macaulay

• Maple

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Research Teams in Italy