# Alicia Dickenstein

#16,374

Most Influential Person Now

Argentine mathematician

## Alicia Dickenstein's AcademicInfluence.com Rankings

Alicia Dickensteinmathematics Degrees

Mathematics

#1141

World Rank

#1923

Historical Rank

Algebraic Geometry

#53

World Rank

#56

Historical Rank

Geometry

#56

World Rank

#99

Historical Rank

Measure Theory

#3908

World Rank

#4606

Historical Rank

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Mathematics

## Alicia Dickenstein's Degrees

- PhD Mathematics University of Buenos Aires

## Why Is Alicia Dickenstein Influential?

(Suggest an Edit or Addition)According to Wikipedia, Alicia Dickenstein is an Argentine mathematician known for her work on algebraic geometry, particularly toric geometry, tropical geometry, and their applications to biological systems. She is a full professor at the University of Buenos Aires, a 2019 Fellow of the American Mathematical Society, a former vice-president of the International Mathematical Union , and a 2015 recipient of The World Academy of Sciences prize.

## Alicia Dickenstein's Published Works

### Published Works

- Toric dynamical systems (2007) (230)
- Chemical Reaction Systems with Toric Steady States (2011) (148)
- Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry (2013) (131)
- Tropical Discriminants (2005) (129)
- Algebraic and Combinatorial Aspects of Tropical Geometry (2013) (114)
- The membership problem for unmixed polynomial ideals is solvable in single exponential time (1991) (101)
- Solving Polynomial Equations: Foundations, Algorithms, and Applications (2010) (91)
- Explicit formulas for the multivariate resultant (2000) (88)
- Residues and Resultants (1997) (78)
- Canonical representatives in moderate cohomology (1985) (76)
- Complex-linear invariants of biochemical networks. (2012) (65)
- Residues in toric varieties (1995) (62)
- Multihomogeneous resultant formulae by means of complexes (2003) (61)
- The Structure of MESSI Biological Systems (2016) (56)
- Computing multidimensional residues (1994) (54)
- A global view of residues in the torus (1997) (52)
- Combinatorics of binomial primary decomposition (2008) (46)
- Rational Hypergeometric Functions (1999) (45)
- Extremal Real Algebraic Geometry and A-Discriminants (2006) (43)
- How Far is Complex Balancing from Detailed Balancing? (2010) (43)
- Multistationarity in Structured Reaction Networks (2018) (42)
- Solving Polynomial Equations (2005) (40)
- BIOCHEMICAL REACTION NETWORKS : AN INVITATION FOR ALGEBRAIC (2015) (38)
- Elimination Theory in Codimension 2 (2002) (38)
- Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics) (2005) (38)
- Binomial D-modules (2006) (32)
- Lower bounds for positive roots and regions of multistationarity in chemical reaction networks (2018) (32)
- Mixed discriminants (2011) (29)
- Introduction to residues and resultants (2005) (27)
- Classifying smooth lattice polytopes via toric fibrations (2008) (26)
- Bivariate hypergeometric D-modules (2003) (26)
- A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect (2010) (24)
- Matrix representations for toric parametrizations (2008) (23)
- Singular Tropical Hypersurfaces (2010) (23)
- Bases in the solution space of the Mellin system (2006) (23)
- Descartes' Rule of Signs for Polynomial Systems supported on Circuits (2016) (22)
- Regions of multistationarity in cascades of Goldbeter–Koshland loops (2018) (21)
- Analytic functionals annihilated by ideals (1996) (19)
- Elimination Theory in Codimension Two (2001) (18)
- Counting solutions to binomial complete intersections (2005) (18)
- Higher order duality and toric embeddings (2011) (17)
- Parameter regions that give rise to 2[n/2] +1 positive steady states in the n-site phosphorylation system. (2019) (17)
- Some results on inhomogeneous discriminants (2006) (16)
- Implicitization of rational hypersurfaces via linear syzygies: A practical overview (2015) (15)
- Algebraicity of solutions to the Mellin system and its monodromy (2007) (15)
- A Case Study in Bigraded Commutative Algebra (2004) (15)
- Duality methods for the membership problem (1991) (13)
- Complete intersections in toric ideals (2005) (13)
- An effective residual criterion for the membership problem in C[z1,…,zn] (1991) (12)
- Plane mixed discriminants and toric jacobians (2013) (12)
- Binomial Residues (2000) (11)
- Codimension theorems for complete toric varieties (2003) (11)
- Multihomogeneous resultant matrices (2002) (10)
- Self‐dual projective toric varieties (2008) (10)
- Nilsson solutions for irregular A-hypergeometric systems (2010) (9)
- Optimal Descartes’ rule of signs for systems supported on circuits (2021) (9)
- Planar Configurations of Lattice Vectors and GKZ-Rational Toric Fourfolds in ℙ6 (2004) (8)
- Foreword from the Editors (2013) (8)
- Algorithms in algebraic geometry (2008) (8)
- Sign conditions for the existence of at least one positive solution of a sparse polynomial system (2019) (8)
- Implicit dose-response curves (2014) (7)
- On the global lifting of meromorphic forms (1984) (6)
- The Structure of Bivariate Rational Hypergeometric Functions (2009) (6)
- Algebraic Geometry Tools in Systems Biology (2020) (5)
- Peripherical integrals and residual currents (1995) (5)
- Independent Sets from an Algebraic Perspective (2010) (5)
- Arithmetics and combinatorics of tropical Severi varieties of univariate polynomials (2016) (5)
- Binomial residues@@@Résidus binomiaux (2002) (4)
- A WORLD OF BINOMIALS (2008) (4)
- Combinatorics of 4-dimensional resultant polytopes (2013) (4)
- Higher order selfdual toric varieties (2016) (4)
- Algebra and Geometry in the Study of Enzymatic Cascades (2019) (3)
- An integral criterion for the equivalence of plane curves (1982) (3)
- Algorithms in Algebraic Geometry (The IMA Volumes in Mathematics and its Applications) (2007) (2)
- A Hidden Praise of Mathematics (2008) (2)
- Vanishing and Codimension Theorems for Complete Toric Varieites (2003) (2)
- A Codimension Theorem for Complete Toric Varieties (2)
- Hypergeometric functions with integer homogeneities (2003) (2)
- Integrating singular functions on the sphere (1997) (2)
- Iterated and mixed discriminants (2021) (1)
- Balanced Configurations of Lattice Vectors and GKZ-rational Toric Fourfolds in P^6 (2002) (1)
- ABOUT THE COVER: A HIDDEN PRAISE OF MATHEMATICS (2008) (1)
- Hypergeometric functions and binomials (2008) (1)
- A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes (2011) (1)
- Additive edge labelings (2009) (1)
- Extremal Real Algebraic Geometry and A-Discriminants 1 (2006) (0)
- Residues in the torus and toric varieties (1997) (0)
- Implicit dose-response curves (2014) (0)
- A C ] 2 7 A pr 2 00 6 COUNTING SOLUTIONS TO BINOMIAL COMPLETE INTERSECTIONS (0)
- Tropically unirational varieties (2012) (0)
- A G ] 3 O ct 2 00 6 SOME RESULTS ON INHOMOGENEOUS DISCRIMINANTS (2006) (0)
- Special issue on effective methods in algebraic computation (2015) (0)
- Non-splitting flags, Iterated Circuits, $\underline{\mathbf \sigma}$-matrices and Cayley configurations (2021) (0)
- Matemax: English + Spanish Edition (2020) (0)
- Positive solutions of sparse polynomial systems (2020) (0)
- Chemical Reaction Systems with Toric Steady States (2011) (0)
- Appendix for \Matrix representations for toric parametrizations": Implementation in Macaulay2 (2009) (0)
- Singular Tropical Hypersurfaces (2011) (0)
- Mixed discriminants (2012) (0)
- Arithmetics and combinatorics of tropical Severi varieties of univariate polynomials (2017) (0)
- Computational algebraic geometry and biochemical reaction networks (2012) (0)
- A G ] 2 8 M ar 2 00 0 BINOMIAL RESIDUES (2018) (0)
- Families of Polynomials in the Study of Biochemical Reaction Networks (2021) (0)
- Bezoutian formulas à la Macaulay for the multivariate resultant (1999) (0)
- Ju l 2 01 8 LOWER BOUNDS FOR POSITIVE ROOTS AND REGIONS OF MULTISTATIONARITY IN CHEMICAL REACTION NETWORKS (2018) (0)
- Balanced configurations of planar lattice vectors and rational bivariate hypergeometric functions (2002) (0)
- Algebraic geometry in the interface of pure and applied mathematics (2018) (0)
- Nonlinear Algebra (2022) (0)
- Applications of residues and duality (2008) (0)
- Regions of multistationarity in cascades of Goldbeter–Koshland loops (2018) (0)
- Matemax (2020) (0)
- Mathematical problems arising from biochemical reaction networks (2015) (0)
- Curve valuations and mixed volumes in the implicitization of rational varieties (2020) (0)
- The Simplest Minimal Free Resolutions in $${\mathbb {P}^1 \times \mathbb {P}^1}$$ (2020) (0)
- Non-splitting Flags, Iterated Circuits, σ -Matrices and Cayley Conﬁgurations (2022) (0)
- Binomial D-modules Ima Preprint Series # 2137 Institute for Mathematics and Its Applications Binomial D-modules (2006) (0)
- Multistationarity in Structured Reaction Networks (2019) (0)
- J ul 2 00 0 EXPLICIT FORMULAS FOR THE MULTIVARIATE RESULTANT (2000) (0)
- Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry (2015) (0)
- Higher order selfdual toric varieties (2017) (0)
- Mini-Workshop: Surface Modeling and Syzygies (2007) (0)
- A G ] 1 8 Se p 20 06 Extremal Real Algebraic Geometry and A-Discriminants (2006) (0)
- Optimal Descartes' Rule of Signs for Circuits (2020) (0)
- The membership probl mixed polynomial i solvable in single exp (2001) (0)
- The search for rational A-hypergeometric functions (1999) (0)

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## What Schools Are Affiliated With Alicia Dickenstein?

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