2026 Adrian S. Lewis: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	53	889	758	427	342	157	14426

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

889

758

427

342

157

14426

Research.com Recognitions

2009 - SIAM Fellow For contributions to variational analysis and nonsmooth optimization.

Overview

Adrian S. Lewis is affiliated with Cornell University in the United States and works primarily in the fields of mathematics, computer science, and engineering. Their research concentrates on a range of specialized topics within these disciplines, focusing on advanced optimization algorithms and variational analysis.

Their published work spans several subfields, including computational theory and mathematics, computational mechanics, numerical analysis, applied mathematics, and geometry and topology. This diverse coverage reflects a broad engagement with both theoretical and applied aspects of optimization and mathematical programming.

Lewis has contributed to the following main topics of research:

Advanced Optimization Algorithms Research
Optimization and Variational Analysis
Sparse and Compressive Sensing Techniques
Advanced Numerical Analysis Techniques
Point processes and geometric inequalities
Stochastic Gradient Optimization Techniques
Topological and Geometric Data Analysis

The scientist's recent publications include:

"Partial Smoothness and Constant Rank," 2022, SIAM Journal on Optimization
"The Cost of Nonconvexity in Deterministic Nonsmooth Optimization," 2023, Mathematics of Operations Research
"Survey Descent: A Multipoint Generalization of Gradient Descent for Nonsmooth Optimization," 2023, SIAM Journal on Optimization
"Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature," 2022, SIAM Journal on Optimization
"The complexity of first-order optimization methods from a metric perspective," 2024, Mathematical Programming

Frequent co-authors who have collaborated extensively with Adrian S. Lewis include Adriana Nicolae, Genaro López-Acedo, Tonghua Tian, Siyu Kong, and Ariel Goodwin.

Their work has been published notably in the following venues:

arXiv (Cornell University)
SIAM Journal on Optimization
Mathematics of Operations Research
Mathematical Programming
Foundations of Computational Mathematics

In recognition of their contributions to the field, Adrian S. Lewis was named a SIAM Fellow in 2009 for work in variational analysis and nonsmooth optimization.

Best Publications

Convex analysis and nonlinear optimization : theory and examples

Jonathan M. Borwein;Adrian S Lewis

2127
Citations
Convex analysis and nonlinear optimization

Jonathan M. Borwein;Adrian S. Lewis

1006
Citations
The Lojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

Je´roˆme Bolte;Aris Daniilidis;Adrian Lewis

800
Citations
A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization

James V. Burke;Adrian S. Lewis;Michael L. Overton

557
Citations
Nonsmooth optimization via quasi-Newton methods

Adrian S. Lewis;Michael L. Overton

457
Citations
Clarke Subgradients of Stratifiable Functions

Jérôme Bolte;Aris Daniilidis;Adrian Lewis;Masahiro Shiota

453
Citations
Partially finite convex programming, Part I: Quasi relative interiors and duality theory

J. M. Borwein;A. S. Lewis

422
Citations
Randomized Methods for Linear Constraints: Convergence Rates and Conditioning

D. Leventhal;Adrian S. Lewis

355
Citations
HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization

J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton

343
Citations
Duality relationships for entropy-like minimization problems

J. M. Borwein;A. S. Lewis

300
Citations
Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods

Dmitriy Drusvyatskiy;Adrian S. Lewis

279
Citations
Error Bounds for Convex Inequality Systems

Adrian S. Lewis;Jong-Shi Pang

277
Citations
Alternating Projections on Manifolds

Adrian S. Lewis;Jérôme Malick

277
Citations
Local Linear Convergence for Alternating and Averaged Nonconvex Projections

A. S. Lewis;D. R. Luke;J. Malick

265
Citations
The radius of metric regularity

A. L. Dontchev;A. S. Lewis;R. T. Rockafellar

248
Citations
Convex Analysis on the Hermitian Matrices

Adrian S. Lewis

246
Citations
Active Sets, Nonsmoothness, and Sensitivity

A. S. Lewis

240
Citations
CONVERGENCE OF BEST ENTROPY ESTIMATES

Jonathan M. Borwein;Adrian S. Lewis

235
Citations
The Convex Analysis of Unitarily Invariant Matrix Functions

A.S. Lewis

230
Citations
Derivatives of spectral functions

A. S. Lewis

213
Citations

Frequent Co-Authors

Jonathan M. Borwein University of Newcastle Australia

Michael L. Overton Courant Institute of Mathematical Sciences

James V. Burke University of Washington

Heinz H. Bauschke University of British Columbia

Stephen J. Wright University of Wisconsin–Madison

Asen L. Dontchev University of Michigan–Ann Arbor

Dominikus Noll Paul Sabatier University

Jong-Shi Pang University of Southern California

Peter Borwein Simon Fraser University

Pablo A. Parrilo MIT

External Links

Wikipedia of Adrian S. Lewis Personal website of Adrian S. Lewis Google Scholar page

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