Irena Swanson | Academic Influence

Irena Swanson's AcademicInfluence.com Rankings

Irena Swanson

Mathematics

#2562

World Rank

#3929

Historical Rank

Measure Theory

#3690

World Rank

#4353

Historical Rank

mathematics Degrees

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Mathematics

Irena Swanson's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Irena Swanson Influential?

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According to Wikipedia, Irena Swanson is an American mathematician specializing in commutative algebra. She is head of the Purdue University Department of Mathematics since 2020. She was a professor of mathematics at Reed College from 2005 to 2020.

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Irena Swanson'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

Integral closure of ideals, rings, and modules (2006) (786)
Commutative Algebra: Noetherian and non-Noetherian Perspectives (2011) (143)
Associated primes of local cohomology modules and of Frobenius powers (2004) (84)
Powers of Ideals : Primary Decompositions , Artin-Rees Lemma and Regularity (2002) (65)
Mixed Multiplicities, Joint Reductions and Quasi‐Unmixed Local Rings (1993) (55)
Linear equivalence of ideal topologies (2000) (51)
Powers of ideals (1997) (51)
Cores of ideals in $2$-dimensional regular local rings. (1995) (47)
Notes on the behavior of the Ratliff-Rush filtration (2002) (43)
An algorithm for computing the integral closure (2009) (35)
Discrete valuations centered on local domains (2001) (34)
Permanental Ideals (1998) (26)
Elastic properties of some semirings defined by positive systems (2009) (24)
Linear bounds on growth of associated primes (2002) (24)
Joint Reductions, Tight Closure, and the Briançon-Skoda Theorem, II (1992) (23)
Piero Della Francesca : a mathematician's art (2007) (20)
Symbolic Powers of Radical Ideals (2006) (19)
Some new approaches to integer-valued polynomial rings (2009) (16)
On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings (2009) (16)
A note on analytic spread (1994) (16)
Minimal primes of ideals arising from conditional independence statements (2011) (15)
Adjoints of ideals (2007) (15)
On the embedded primes of the Mayr–Meyer ideals (2002) (14)
Frobenius numbers of numerical semigroups generated by three consecutive squares or cubes (2015) (12)
Computing instanton numbers of curve singularities (2002) (12)
Every numerical semigroup is one over d of infinitely many symmetric numerical semigroups (2009) (12)
Rees Valuations (2009) (10)
Transfinite self-idealization and commutative rings of triangular matrices (2009) (9)
Tight closure, joint reductions, and mixed multiplicities (1992) (9)
Mixed invertibility and Prüfer-like monoids and domains (2009) (8)
Erratum to “Integral closure of ideals in excellent local rings” (1997) (8)
Hilbert-Kunz functions of 2 x 2 determinantal rings (2012) (8)
Ideals contracted from 1-dimensional overrings with an application to the primary decomposition of ideals (1997) (7)
The Goto numbers of parameter ideals (2008) (7)
Normal cones of monomial primes (2003) (7)
The minimal components of the Mayr–Meyer ideals (2002) (7)
Chain conditions in rings of the form A + XB[X] and A + XI[X] (2009) (7)
Integer-valued polynomial in valued fields with an application to discrete dynamical systems (2009) (5)
Tensor-multinomial sums of ideals: Primary decompositions and persistence of associated primes (2018) (5)
Multigraded Hilbert Functions and Mixed Multiplicities (2007) (5)
Cores of Ideals in Two Dimensional Regular Local (1987) (5)
On TV-domains (2009) (4)
The first Mayr-Meyer ideal (2002) (4)
Many associated primes of powers of primes (2018) (3)
On free integral extensions generated by one element (2005) (3)
Straight rings, II (2009) (3)
Commutative algebra and its applications : proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, Fez, Morocco, June 23-28, 2008 (2009) (3)
ON THE IDEAL OF MINORS OF MATRICES OF LINEAR FORMS (2002) (3)
Rees algebras of sparse determinantal ideals (2021) (3)
Primary decomposition of the Mayr-Meyer ideals (2001) (3)
Introduction to Analysis with Complex Numbers (2020) (2)
Prüfer-like conditions in pullbacks (2009) (2)
Computations with Frobenius Powers (2002) (2)
Jacobian Ideals of Trilinear Forms: An Application of 1-Genericity (2000) (2)
v-ordering sequences and countable sets (2009) (2)
The Zarankiewicz Problem via Chow Forms (2002) (2)
2 × 2 Permanental Ideals of Hypermatrices (2011) (2)
Bass numbers and semidualizing complexes (2009) (2)
n-perfectness in pullbacks (2009) (1)
Gorenstein dimensions in trivial ring extensions (2009) (1)
On rings with divided nil ideal: a survey (2009) (1)
Permanental ideals of Hankel matrices (2005) (1)
Schubert varieties with inequidimensional singular locus (2009) (1)
An algorithm for the computation of adjoints of monomial ideals in polynomial rings (2001) (1)
Integral closures of ideals and rings (2010) (0)
A sheaf-theoretic bound on the cardinality of a finite ring (2009) (0)
Functional Analysis (2016) (0)
On (n, d)-perfect rings (2009) (0)
Ja n 20 05 Computing Instanton Numbers of Curve Singularities (2005) (0)
Expanded lectures on binomial ideals (2011) (0)
Splitting sets and weakly Matlis domains (2009) (0)
Errata and Minor Additions for Integral Closure of Ideals, Rings, and Modules by (2013) (0)
Predicted decay ideals (2020) (0)
Primary decomposition of the Mayr-Meyer ideal Unedited collection of facts (2002) (0)
Predicted decay ideal (2018) (0)
Irena Swanson Primary decompositions (2017) (0)
Integral closures of ideals and rings (2010) (0)
2 3 Se p 20 02 Linear Bounds on Growth of Associated Primes (2002) (0)
Infinitely many associated primes of Frobenius powers and local cohomology (2002) (0)
Primary Decompositions: with Sections on Macaulay2 and Networks (2017) (0)
REPORT ON THE WORKSHOP FOR WOMEN IN COMMUTATIVE ALGEBRA 20–25 October 2019, Banff (2020) (0)
On flatness of factor rings and Krull dimension of tensor products (2009) (0)
Primary Decompositions of Powers of Ideals (2010) (0)
INTEGRAL CLOSURE OF IDEALS IN EXCELLENT LOCAL RINGS (A corrected version) (2021) (0)
Almost clean rings and arithmetical rings (2009) (0)
Quilting Semiregular Tessellations (2011) (0)
The Zarankiewicz problem via Chow formsMarko (2000) (0)
A new family of ideals with the doubly exponential ideal membership property (2002) (0)
MSRI GRADUATE STUDENT WORKSHOP, JUNE 2011: NEW DIRECTIONS IN COMMUTATIVE ALGEBRA (2011) (0)
3 Lemmas for induction arguments (2012) (0)
Integral basis of cubic number fields (2009) (0)
Multi-graded Hilbert functions , mixed multiplicities (2007) (0)
Searching for Cutkosky's example (2014) (0)
Frobenius numbers of numerical semigroups generated by three consecutive squares or cubes (2015) (0)
Commutative Algebra Provides a Big Surprise for Craig Huneke's Birthday (2017) (0)
Note on Prüfer *-multiplication domains and class groups (2009) (0)

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