Claudia Polini

Q: What Schools Are Affiliated With Claudia Polini

Claudia Polini is affiliated with the following schools: University of Milan, Rutgers University, University of Oregon, University of Notre Dame, University of Padua, University of Bologna

Claudia Polini's AcademicInfluence.com Rankings

Claudia Polini

Mathematics

#3824

World Rank

#5552

Historical Rank

Group Theory

#283

World Rank

#332

Historical Rank

Algebra

#243

World Rank

#354

Historical Rank

Measure Theory

#4181

World Rank

#4924

Historical Rank

mathematics Degrees

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Mathematics

Why Is Claudia Polini Influential?

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According to Wikipedia, Claudia Polini is an Italian mathematician specializing in commutative algebra. She is the Glynn Family Honors Collegiate Professor of Mathematics at the University of Notre Dame, and directs the Center of Mathematics at Notre Dame.

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Claudia Polini'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

Rational normal scrolls and the defining equations of Rees algebras (2008) (58)
Links of Prime Ideals and Their Rees Algebras (1994) (55)
The structure of the core of ideals (2001) (42)
Links of prime ideals (1994) (41)
The equations defining blowup algebras of height three Gorenstein ideals (2015) (37)
CORE AND RESIDUAL INTERSECTIONS OF IDEALS (2002) (37)
Commutative Algebra and Its Connections to Geometry (2011) (37)
A Study of Singularities on Rational Curves Via Syzygies (2011) (35)
A formula for the core of an ideal (2004) (35)
Multiplicity of the special fiber of blowups (2003) (31)
DEPTH OF ASSOCIATED GRADED RINGS VIA HILBERT COEFFICIENTS OF IDEALS (2003) (30)
Linkage and reduction numbers (1998) (29)
Sally modules and associated graded rings (2002) (28)
Commutative Algebra: Interactions with Algebraic Geometry (2003) (23)
Cohen-Macaulayness of Special Fiber Rings (2003) (23)
$j$-multiplicity and depth of associated graded modules (2011) (22)
The bi-graded structure of symmetric algebras with applications to Rees rings (2013) (22)
The core of zero-dimensional monomial ideals☆ (2007) (21)
BLOWUPS AND FIBERS OF MORPHISMS (2014) (21)
Normalization of Ideals and Briancon-Skoda Numbers (2005) (21)
Rees algebras of truncations of complete intersections (2013) (21)
Necessary and Sufficient Conditions for the Cohen–Macaulayness of Blowup Algebras (1999) (18)
Reduction number of links of irreducible varieties (1997) (14)
Deriving the magnitude of niobium off-center displacement in ferroelectric niobates from infrared spectroscopy (2012) (13)
The core of ideals in arbitrary characteristic (2008) (13)
Bounds on the normal Hilbert coefficients (2014) (12)
Core of projective dimension one modules (2002) (11)
Divisor class groups of singular surfaces (2013) (10)
Simple D-module components of local cohomology modules (2016) (10)
A matrix of linear forms which is annihilated by a vector of indeterminates (2015) (10)
Annihilators of graded components of the canonical module, and the core of standard graded algebras (2009) (9)
Divisors on rational normal scrolls (2008) (9)
A filtration of the sally module and the associated graded ring of an ideal (2000) (9)
Energy management in hybrid electric vehicle with ICE and Ultracapacitors (2010) (8)
Iterated socles and integral dependence in regular rings (2014) (7)
Degree bounds for local cohomology (2015) (7)
Relations between the 2 × 2 minors of a generic matrix (2019) (6)
Algebra, Geometry and Their Interactions (2007) (6)
On residually S_2 ideals and projective dimension one modules (2000) (5)
Recent Developments in Commutative Algebra (2021) (5)
Combined storage system for energy saving (2010) (5)
Integral extensions and the a-invariant (2011) (4)
The Hilbert Series of the Ring Associated to an Almost Alternating Matrix (2015) (4)
Generalized Hilbert Functions (2012) (4)
Power flow analysis for plug in hybrid electric vehicles (2010) (3)
Rees algebras of sparse determinantal ideals (2021) (3)
Quasi-cyclic modules and coregular sequences (2019) (2)
Commutative algebra and its connections to geometry : Pan-American Advanced Studies Institute, August 3-14, 2009, Universidade Federal de Pernambuco, Olinda, Brazil (2011) (2)
Strongly Cohen‐Macaulay Ideals of Small Second Analytic Deviation (2001) (2)
The Core of 0-Dimensional Monomial Ideals (2006) (2)
Multiplicity sequence and integral dependence (2020) (2)
Mathematical Aspects of Quantization (2012) (1)
Indices of normalization of ideals (2010) (1)
Hilbert Coefficients of Ideals with a View Toward Blowup Algebras (2007) (1)
Integral Closure, Multiplier Ideals and Cores (2019) (0)
O ct 2 00 2 Reduction Number of Links of Irreducible Varieties ⋆ (1997) (0)
Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras (2022) (0)
The core of monomial ideals (2023) (0)
On Approximate Modeling of Linear Gaussian Processes (1993) (0)
A C ] 15 O ct 2 00 2 Sally Modules and Associated Graded Rings (1997) (0)
Defining Equations of Blowup Algebras (2020) (0)
Fe b 20 03 Cohen-Macaulayness of special fiber rings (2003) (0)
A C ] 2 O ct 2 00 2 Links of Prime Ideals (1994) (0)

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What Schools Are Affiliated With Claudia Polini?

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Claudia Polini's Academic­Influence.com Rankings

Why Is Claudia Polini Influential?

Claudia Polini's Published Works

Published Works

Other Resources About Claudia Polini

What Schools Are Affiliated With Claudia Polini?

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Claudia Polini's AcademicInfluence.com Rankings