2026 Jesús A. De Loera: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	30	3566	3180	1379	1152	201	2951

Research.com Recognitions

2019 - SIAM Fellow For contributions to discrete geometry and optimization, polynomial algebra, and mathematical software.

Overview

Jesús A. De Loera is affiliated with the University of California, Davis, in the United States. Their research spans significant intersections of computer science and mathematics, with a focus on computational theory and mathematics, discrete mathematics and combinatorics, geometry and topology, as well as electrical and electronic engineering.

The scientist's main fields of study include:

Computer Science
Mathematics

Subfields of particular interest are:

Computational Theory and Mathematics
Computer Graphics and Computer-Aided Design
Discrete Mathematics and Combinatorics
Electrical and Electronic Engineering
Geometry and Topology

Jesús A. De Loera's research covers a range of specialized topics such as:

Computational Geometry and Mesh Generation
Advanced Graph Theory Research
Advanced Combinatorial Mathematics
Graph Theory and CDMA Systems
Point Processes and Geometric Inequalities
Commutative Algebra and Its Applications
Advanced Optimization Algorithms Research

Their frequent coauthors include Alexander E. Black, Thomas A. Hogan, Brittney Marsters, Luze Xu, and Shixuan Zhang. The scientist also publishes consistently in venues such as:

arXiv (Cornell University)
Mathematical Programming
Discrete & Computational Geometry
SIAM Journal on Optimization
SIAM Journal on Applied Algebra and Geometry

Notable recent papers by Jesús A. De Loera include:

"Pivot Rules for Circuit-Augmentation Algorithms in Linear Optimization" (2022), published in SIAM Journal on Optimization
"Stochastic Tverberg Theorems With Applications in Multiclass Logistic Regression, Separability, and Centerpoints of Data" (2020), published in SIAM Journal on Mathematics of Data Science
"Tverberg-Type Theorems with Altered Intersection Patterns (Nerves)" (2020), published in Discrete & Computational Geometry

Other papers listed with contributions by Jesús A. De Loera's frequent collaborators include:

"Sparse representation of vectors in lattices and semigroups" (2021), published in Mathematical Programming
"The Polyhedral Geometry of Pivot Rules and Monotone Paths" (2023), published in SIAM Journal on Applied Algebra and Geometry

Jesús A. De Loera has also authored a book titled Polytopes and Discrete Geometry, published in 2021 by the American Mathematical Society.

The scientist was recognized as a SIAM Fellow in 2019 for contributions spanning discrete geometry and optimization, polynomial algebra, and mathematical software.

Best Publications

Triangulations: Structures for Algorithms and Applications

Jesus A. De Loera;Jorg Rambau;Francisco Santos

633
Citations
Effective lattice point counting in rational convex polytopes

Jesús A. De Loera;Raymond Hemmecke;Jeremiah Tauzer;Ruriko Yoshida

321
Citations
How to Integrate a Polynomial over a Simplex

Velleda Baldoni;Nicole Berline;Jesús A. De Loera;Matthias Köppe

121
Citations
Gröbner bases and triangulations of the second hypersimplex

Jesús A. De Loera;Bernd Sturmfels;Rekha R. Thomas

105
Citations
Markov bases of three-way tables are arbitrarily complicated

Jesús A. De Loera;Shmuel Onn

96
Citations
N-fold integer programming

JesúS A. De Loera;Raymond Hemmecke;Shmuel Onn;Robert Weismantel

94
Citations
A Sampling Kaczmarz--Motzkin Algorithm for Linear Feasibility

Jesús A. De Loera;Jamie Haddock;Deanna Needell

82
Citations
The polytope of all triangulations of a point configuration

Unknown

82
Citations
The many aspects of counting lattice points in polytopes

Jesús A. De Loera

81
Citations
Counting Integer Flows in Networks

W. Baldoni-Silva;J. A. De Loera;M. Vergne

78
Citations
The Complexity of Three-Way Statistical Tables

Jesus De Loera;Shmuel Onn

77
Citations
The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg

Jesús A. De Loera;Xavier Goaoc;Frédéric Meunier;Nabil H. Mustafa

73
Citations
COEFFICIENTS AND ROOTS OF EHRHART POLYNOMIALS

M. Beck;J. A. De Loera;M. Develin;J. Pfeifle

72
Citations
Integer Polynomial Optimization in Fixed Dimension

Jess A. De Loera;Raymond Hemmecke;Matthias Kppe;Robert Weismantel

71
Citations
Expressing combinatorial problems by systems of polynomial equations and hilbert's nullstellensatz

J. a. Loera;J. Lee;S. Margulies;S. Onn

69
Citations
Graphs of transportation polytopes

Jesús A. De Loera;Edward D. Kim;Shmuel Onn;Francisco Santos

64
Citations
Vertices of Gelfand--Tsetlin Polytopes

Jesús A. Loera;Tyrrell B. Mcallister

62
Citations
All Linear and Integer Programs Are Slim 3-Way Transportation Programs

Jesu´s A. De Loera;Shmuel Onn

62
Citations
A polytopal generalization of Sperner's lemma

Jesus A. De Loera;Elisha Peterson;Francis Edward Su

61
Citations
An effective version of Pólya's theorem on positive definite forms

Jesús A. de Loera;Francisco Santos

61
Citations
On the Computation of Clebsch-Gordan Coefficients and the Dilation Effect

Jesús A. De Loera;Tyrrell B. McAllister

61
Citations
Short Rational Functions for Toric Algebra and Applications

J.A. De Loera;D. Haws;R. Hemmecke;P. Huggins

59
Citations
Polyhedral Cones of Magic Cubes and Squares

Unknown

56
Citations
Integer Polynomial Optimization in Fixed Dimension

Jesús A. De Loera;Raymond Hemmecke;Matthias Köppe;Robert Weismantel

30
Citations
Short Rational Functions for Toric Algebra and Applications

Jesus De Loera;David Haws;Raymond Hemmecke;Peter Huggins

3
Citations

Frequent Co-Authors

Michèle Vergne Institut de Mathématiques de Jussieu

Robert Weismantel ETH Zurich

Jon Lee University of Michigan–Ann Arbor

Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences

Deanna Needell University of California, Los Angeles

Victor Reiner University of Minnesota

Rüdiger Schultz University of Duisburg-Essen

Nina Amenta University of California, Davis

Pablo A. Parrilo MIT

External Links

Personal website of Jesús A. De Loera

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