Rekha R. Thomas

Orcid: 0000-0001-9586-3439

Affiliations:
  • Department of Mathematics, University of Washington, Seattle, USA


According to our database1, Rekha R. Thomas authored at least 51 papers between 1995 and 2024.

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Bibliography

2024
An Atlas for the Pinhole Camera.
Found. Comput. Math., February, 2024

Conformally rigid graphs.
CoRR, 2024

2023
Graphical designs and gale duality.
Math. Program., July, 2023

Spectrahedral Geometry of Graph Sparsifiers.
CoRR, 2023

Two Views of ℙ<sup>3</sup>.
Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023

2022
Lifting for Simplicity: Concise Descriptions of Convex Sets.
SIAM Rev., 2022

Existence of Two View Chiral Reconstructions.
SIAM J. Appl. Algebra Geom., 2022

On the local stability of semidefinite relaxations.
Math. Program., 2022

The Chiral Domain of a Camera Arrangement.
J. Math. Imaging Vis., 2022

Random Walks, Equidistribution and Graphical Designs.
CoRR, 2022

2021
Ideals of the Multiview Variety.
IEEE Trans. Pattern Anal. Mach. Intell., 2021

2020
Multiview Chirality.
CoRR, 2020

Simple Graph Density Inequalities with No Sum of Squares Proofs.
Comb., 2020

2019
The Slack Realization Space of a Polytope.
SIAM J. Discret. Math., 2019

2018
Symmetric sums of squares over k-subset hypercubes.
Math. Program., 2018

2017
Four-dimensional polytopes of minimum positive semidefinite rank.
J. Comb. Theory A, 2017

On the Existence of Epipolar Matrices.
Int. J. Comput. Vis., 2017

2016
The Euclidean Distance Degree of an Algebraic Variety.
Found. Comput. Math., 2016

2015
Counting Real Critical Points of the Distance to Orthogonally Invariant Matrix Sets.
SIAM J. Matrix Anal. Appl., 2015

Lifts of convex sets in optimization.
Math. Program., 2015

Worst-case results for positive semidefinite rank.
Math. Program., 2015

Approximate cone factorizations and lifts of polytopes.
Math. Program., 2015

Positive semidefinite rank.
Math. Program., 2015

Limitations of convex programming: lower bounds on extended formulations and factorization ranks (Dagstuhl Seminar 15082).
Dagstuhl Reports, 2015

Symmetry in Turán Sums of Squares Polynomials from Flag Algebras.
CoRR, 2015

2014
Certifying the Existence of Epipolar Matrices.
CoRR, 2014

The euclidean distance degree.
Proceedings of the Symbolic-Numeric Computation 2014, 2014

2013
Lifts of Convex Sets and Cone Factorizations.
Math. Oper. Res., 2013

Polytopes of Minimum Positive Semidefinite Rank.
Discret. Comput. Geom., 2013

2012
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs.
Math. Program., 2012

A QCQP Approach to Triangulation.
Proceedings of the Computer Vision - ECCV 2012, 2012

2011
A Hilbert Scheme in Computer Vision
CoRR, 2011

2010
Theta Bodies for Polynomial Ideals.
SIAM J. Optim., 2010

Small Chvátal Rank.
Math. Program., 2010

2009
Integer Programming: Algebraic Methods.
Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

2007
Computing Gröbner fans.
Math. Comput., 2007

Computing tropical varieties.
J. Symb. Comput., 2007

2006
Lectures in Geometric Combinatorics.
Student mathematical library 33, American Mathematical Society, ISBN: 978-0-8218-4140-2, 2006

2004
Symmetric iterated Betti numbers.
J. Comb. Theory A, 2004

2003
Gomory integer programs.
Math. Program., 2003

Algebraic and geometric methods in discrete optimization.
Math. Program., 2003

The toric Hilbert scheme of a rank two lattice is smooth and irreducible.
J. Comb. Theory A, 2003

The Hilbert zonotope and a polynomial time algorithm for universal Gröbner bases.
Adv. Appl. Math., 2003

2002
Combinatorics of the Toric Hilbert Scheme.
Discret. Comput. Geom., 2002

2000
Computing Gröbner Fans of Toric Ideals.
Exp. Math., 2000

1997
Variation of cost functions in integer programming.
Math. Program., 1997

Truncated Gröbner Bases for Integer Programming.
Appl. Algebra Eng. Commun. Comput., 1997

1996
Test Sets and Inequalities for Integer Programs.
Proceedings of the Integer Programming and Combinatorial Optimization, 1996

1995
An algebraic geometry algorithm for scheduling in presence of setups and correlated demands.
Math. Program., 1995

A Geometric Buchberger Algorithm for Integer Programming.
Math. Oper. Res., 1995

Gröner Bases and Triangulations of the Second Hypersimplex.
Comb., 1995


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