Patrizia Gianni

Patrizia Gianni's AcademicInfluence.com Rankings

Patrizia Gianni

Mathematics

#4277

World Rank

#6112

Historical Rank

Algebra

#87

World Rank

#145

Historical Rank

Measure Theory

#4636

World Rank

#5429

Historical Rank

mathematics Degrees

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Mathematics

Why Is Patrizia Gianni Influential?

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According to Wikipedia, Patrizia M. Gianni is an Italian mathematician specializing in computer algebra. She is known for her early research on Gröbner bases including her discovery of the FGLM algorithm for changing monomial orderings in Gröbner bases, and for her development of the components of the Axiom computer algebra system concerning polynomials and rational functions.

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Patrizia Gianni's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Efficient Computation of Zero-Dimensional Gröbner Bases by Change of Ordering (1993) (710)
Gröbner Bases and Primary Decomposition of Polynomial Ideals (1988) (474)
The singular value decomposition for polynomial systems (1995) (245)
Algebraic Solution of Systems of Polynomial Equations Using Groebner Bases (1987) (127)
A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots (1997) (105)
Properties of Gröbner bases under specializations (1987) (82)
Symbolic and Algebraic Computation (1988) (28)
Scratchpad's view of algebra II: A categorical view of factorization (1991) (27)
Riemann Surfaces, Plane Algebraic Curves and Their Period Matrices (1998) (26)
Decomposition of Algebras (1988) (25)
Shape determination for real curves and surfaces (1983) (24)
Algorithms to compute the topology of orientable real algebraic surfaces (2003) (23)
Degree reduction under specialization (2001) (23)
Algorithmical determination of the topology of a real algebraic surface (2004) (22)
Algorithms for the Shape of Semialgebraic Sets. A New Approach (1991) (18)
Integral closure of Noetherian rings (1997) (17)
GCD's and Factoring Multivariate Polynominals Using Gröbner Bases (1985) (15)
Derivations and Radicals of Polynomial Ideals over Fields of Arbitrary Characteristic (2002) (12)
Square-free algorithms in positive characteristic (2005) (12)
Computing the topology of real algebraic surfaces (2002) (10)
ISSAC '88: proceedings of the international symposium on Symbolic and algebraic computation (1988) (10)
Foreword from the Editors (2013) (8)
Generators of the ideal of an algebraic space curve (2009) (6)
Ideals of curves given by points (2012) (5)
Some constructions for real algebraic curves (2005) (4)
The singular value decomposition for approximate polynomial systems (1989) (4)
Symbolic and Algebraic Computation, International Symposium ISSAC'88, Rome, Italy, July 4-8, 1988, Proceedings (1989) (4)
A Nullstellensatz for an algebraically non-closed field (1978) (4)
Irreducible decomposition of polynomial ideals (2005) (3)
The adjacency graph of a real algebraic surface (2005) (3)
Square-free decomposition in finite characteristic: an application to Jordon Form computation (1999) (3)
Symbolic and algebraic computation research in Italy (1987) (2)
Computation of new Schubert Tables for Quadrics and Projectivities (1985) (2)
Constructive topological classification of real algebraic surfaces (2003) (1)
Proceedings of the International Symposium ISSAC'88 on Symbolic and Algebraic Computation (1988) (1)
Shape of Curves and Surfaces: the Combinatorics (1992) (1)
EFFECTIVE METHODS TO COMPUTE THE TOPOLOGY OF REAL ALGEBRAIC SURFACES WITH ISOLATED SINGULARITIES (2005) (1)
Computation of the radical of polynomial ideals over fields of arbitrary characteristic (2001) (1)
REAL ALGEBRAIC SURFACES WITH ISOLATED SINGULARITIES (2005) (0)
Effective constructions on real curves and surfaces (2011) (0)
Computation of topological invariants for real projective surfaces with isolated singularities (2015) (0)
A Normal Form for Restricted Exponential Functions (1989) (0)

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Patrizia Gianni's Academic­Influence.com Rankings

Why Is Patrizia Gianni Influential?

Patrizia Gianni's Published Works

Published Works

Other Resources About Patrizia Gianni

What Schools Are Affiliated With Patrizia Gianni?

Patrizia Gianni's AcademicInfluence.com Rankings