Rekha R. Thomas | Academic Influence

Rekha R. Thomas's AcademicInfluence.com Rankings

Rekha R. Thomas

Mathematics

#1573

World Rank

#2558

Historical Rank

#643

USA Rank

Measure Theory

#3589

World Rank

#4231

Historical Rank

#1036

USA Rank

mathematics Degrees

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Mathematics

Rekha R. Thomas's Degrees

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

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Why Is Rekha R. Thomas Influential?

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According to Wikipedia, Rekha Rachel Thomas is a mathematician and operations researcher. She works as a professor of mathematics at the University of Washington, and was the Robert R. and Elaine F. Phelps Professor there from 2008 until 2012. Her research interests include mathematical optimization and computational algebra.

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Rekha R. Thomas'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

Semidefinite Optimization and Convex Algebraic Geometry (2012) (594)
Computing tropical varieties (2005) (208)
The Euclidean Distance Degree of an Algebraic Variety (2013) (196)
Lifts of Convex Sets and Cone Factorizations (2011) (180)
Theta Bodies for Polynomial Ideals (2008) (141)
A Geometric Buchberger Algorithm for Integer Programming (1995) (127)
Variation of cost functions in integer programming (1997) (116)
Positive semidefinite rank (2014) (97)
An algebraic geometry algorithm for scheduling in presence of setups and correlated demands (1995) (86)
Gröbner bases and triangulations of the second hypersimplex (1995) (74)
A Hilbert Scheme in Computer Vision (2011) (70)
Computing Gröbner fans (2005) (53)
Algebraic and geometric methods in discrete optimization (2003) (50)
Moduli of McKay quiver representations II: Gröbner basis techniques (2006) (50)
A QCQP Approach to Triangulation (2012) (48)
Polytopes of Minimum Positive Semidefinite Rank (2012) (46)
Moduli of McKay quiver representations I: the coherent component (2005) (44)
Lectures in Geometric Combinatorics (2006) (42)
The Hilbert zonotope and a polynomial time algorithm for universal Gröbner bases (2002) (40)
Nice Initial Complexes of Some Classical Ideals (2005) (36)
Computing gröbner fans of toric ideals (2000) (35)
On the local stability of semidefinite relaxations (2017) (34)
The associated primes of initial ideals of lattice ideals (1999) (34)
Truncated Gröbner Bases for Integer Programming (1997) (34)
Gomory integer programs (2001) (33)
Combinatorics of the Toric Hilbert Scheme (1999) (31)
On the Existence of Epipolar Matrices (2015) (29)
Which nonnegative matrices are slack matrices (2013) (28)
The euclidean distance degree of orthogonally invariant matrix varieties (2016) (26)
Worst-case results for positive semidefinite rank (2013) (25)
Standard pairs and group relaxations in integer programming (1999) (23)
Four-dimensional polytopes of minimum positive semidefinite rank (2015) (23)
Convex Hulls of Algebraic Sets (2010) (22)
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs (2009) (22)
Symmetric sums of squares over k-subset hypercubes (2016) (22)
Computational algebra and combinatorics of toric ideals (2005) (20)
Reverse lexicographic and lexicographic shifting (2005) (19)
The euclidean distance degree (2014) (18)
The circuit ideal of a vector configuration (2005) (17)
Ideals of the Multiview Variety (2018) (16)
Algorithms for the Toric Hilbert scheme (2000) (15)
Applications To Integer Programming (1997) (14)
The toric Hilbert scheme of a rank two lattice is smooth and irreducible (2002) (14)
Symmetry in Turán Sums of Squares Polynomials from Flag Algebras (2015) (14)
Gröbner Bases and Applications: Gröbner Bases and Integer Programming (1998) (12)
Gröbner Bases in Integer Programming (1998) (12)
The Slack Realization Space of a Polytope (2017) (12)
The Structure of Group Relaxations (2005) (11)
Toric Initial Ideals of Δ-Normal Configurations: Cohen-Macaulayness and Degree Bounds (2005) (11)
Approximate cone factorizations and lifts of polytopes (2013) (11)
Projectively unique polytopes and toric slack ideals (2018) (8)
Counting Real Critical Points of the Distance to Orthogonally Invariant Matrix Sets (2015) (8)
Certifying the Existence of Epipolar Matrices (2014) (8)
Test Sets and Inequalities for Integer Programs (1996) (8)
Lifting for Simplicity: Concise Descriptions of Convex Sets (2020) (7)
Trends in Optimization (2004) (7)
Symmetric iterated Betti numbers (2002) (6)
Chapter 7: Spectrahedral Approximations of Convex Hulls of Algebraic Sets (2012) (6)
The coherent component of the moduli of McKay quiver representations for abelian groups (2005) (5)
Lifts of convex sets in optimization (2015) (5)
SPECTRAHEDRAL LIFTS OF CONVEX SETS (2018) (4)
Simple Graph Density Inequalities with No Sum of Squares Proofs (2018) (4)
Tropicalization of Graph Profiles (2020) (3)
Small Chvátal Rank (2007) (3)
The Chiral Domain of a Camera Arrangement (2020) (3)
Existence of Two View Chiral Reconstructions (2020) (3)
Theoretical effectivity and practical effectivity of Gröbner bases (2009) (2)
Triangulations of point configurations (2006) (2)
Multiview Chirality (2020) (2)
Random Walks, Equidistribution and Graphical Designs (2022) (2)
Counting real critical points of the distance to spectral matrix sets (2015) (2)
Polynomials in multiview geometry (2012) (1)
Graphical Designs and Gale Duality (2022) (1)
Simple Graph Density Inequalities with No Sum of Squares Proofs (2020) (1)
Initial complexes of toric ideals (2006) (0)
Test Sets and Inequalities for Integer Programs: Extended Abstract Test Sets and Inequalities for Integer Programs: Extended Abstract (1995) (0)
MATH 409 LECTURE 6 MINIMUM SPANNING TREES (2010) (0)
SMALL CHVÁTAL RANK TRISTRAM BOGART AND (2007) (0)
The Geometry of Rank Drop in a Class of Face-Splitting Matrix Products (2023) (0)
Convex polytopes: Definitions and examples (2006) (0)
A ug 2 01 8 PROJECTIVELY UNIQUE POLYTOPES AND TORIC SLACK IDEALS (0)
Faces of polytopes (2006) (0)
Problems in computational algebra and integer programming (2007) (0)
Abstract algebra: Polynomial rings (2006) (0)
Lifts of convex sets in optimization (2015) (0)
Gröbner bases I (2006) (0)
Math 583 E : Linear and Integer Polyhedra (2008) (0)
Abstract algebra: Groups, rings and fields (2006) (0)
MEETING ON ALGEBRAIC VISION 2015 (2015) (0)
Trends In Optimization: American Mathematical Society Short Course, January 5-6, 2004, Phoenix, Arizona (2004) (0)
State polytopes of toric ideals (2006) (0)
Toric Initial Ideals of $\Delta$-Normal Configurations: Cohen-Macaulayness and Degree Bounds (2003) (0)
Approximate cone factorizations and lifts of polytopes (2014) (0)
SMALL CHV ATAL RANK (2009) (0)
The secondary polytope (2006) (0)
Handbook of Combinatorial Optimization Grr Obner Bases in Integer Programming (2007) (0)
Chapter 1: What is Convex Algebraic Geometry? (2012) (0)
Gröbner bases II (2006) (0)
COMPUTING GR OBNER FANS (2008) (0)
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs (2010) (0)
A C / 0 50 95 44 v 1 2 3 S ep 2 00 5 Computing Gröbner fans (2006) (0)
Integer Hulls of Rational Polyhedra (2008) (0)
THE SMALL CHVÁTAL RANK OF AN INTEGER MATRIX TRISTRAM BOGART AND REKHA R. THOMAS (0)
An Algebraic Perspective of Group Relaxations (2001) (0)
Integer Programming: Algebraic Methods (2009) (0)

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