Faculty

Institution

Unit

Venue

Adrian S. Lewis

Professor Samuel B Eckert Professor of Engineering

Cornell University

Affiliations

College of Engineering

School of Operations Research and Information Engineering

Adrian S. Lewis is currently serving as a College Of Engineering Professor Samuel B Eckert Professor of Engineering at Cornell University.

Honors

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Experiences

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Education

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Adrian S. Lewis

Cornell University

Professor Samuel B Eckert Professor of Engineering

You can click a keyword to filter the displayed items

applied mathematics mathematics convex analysis mathematical optimization convex optimization functional analysis computational optimization abstract and applied analysis approximation theory variational analysis nondifferentiable optimization numerical algorithms geometric analysis mathematical analysis numerical linear algebra spectral theory mathematical programming numerical analysis function spaces mathematical sciences linear algebra matrix analysis nonlinear analysis derivative-free optimization computer science entropy matrix theory numerical mathematics global optimization continuous optimization nonlinear functional analysis variational inequalities constrained optimization semidefinite programming conic optimization geometric topology calculus of variations unconstrained optimization information theory convex hulls control optimization global analysis spectral analysis boundary value problems automatic control regularization (mathematics) nonlinear optimization manifold learning manifold modeling euclidean space systems engineering convergence analysis semi-definite optimization numerical stability linear programming partial smoothness metric regularity robust optimization geometric singular perturbation theory perturbation methods orthogonal polynomials eigenvalue optimization spectral functions spectral function part ii duality theory local linear convergence interpolation spaces semi-infinite optimization nonconvex optimization termination criteria clarke subgradients linear convergence active manifold hyperbolic polynomials best entropy estimation computational algorithms robust control computational mathematics

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Convex Optimization on Cat(0) Cubical Complexes. Advances in Applied Mathematics (2025)

Ariel GoodwinAdrian S. LewisGenaro López-AcedoAdriana Nicolae

computational mathematicscomputational optimizationconvex hullsapplied mathematicsconvex analysismathematicsmathematical optimizationconvex optimizationcomputational geometry

Lipschitz Minimization and the Goldstein Modulus. Mathematical Programming (2025)

Siyu KongA. S. Lewis

functional analysisapproximation theoryvariational inequalitiesabstract and applied analysislipschitz minimizationapplied mathematicsmathematicsmathematical optimization

A Subgradient Splitting Algorithm for Optimization on Nonpositively Curved Metric Spaces. arXiv (Cornell University) (2024)

Goodwin, ArielLewis, Adrian S.López-Acedo, GenaroNicolae, Adriana

functional analysiscomputational mathematicsconic optimizationgeometric analysisduality theorysubgradient splitting algorithmcomputational optimizationconvex functionsapplied mathematicsconvex analysismathematicsmathematical optimizationconvex optimizationcomputational geometry

Basic Convex Analysis in Metric Spaces With Bounded Curvature. SIAM Journal on Optimization (2024)

Adrian S. LewisGenaro López-AcedoAdriana Nicolae

mathematical analysisbounded curvaturefunctional analysisfunction spacesnondifferentiable optimizationvariational analysisabstract and applied analysisgeometric analysisriemannian manifoldeuclidean spacebasic convex analysisapplied mathematicsconvex analysismathematicsdifferential geometrymathematical optimizationconvex optimization

Horoballs and the Subgradient Method. arXiv (Cornell University) (2024)

Lewis, Adrian S.Lopez-Acedo, GenaroNicolae, Adriana

computational mathematicsnondifferentiable optimizationvariational analysissubgradient methodgeometric analysishorospherical convexitynumerical algorithmssubgradient algorithmcomputational optimizationapplied mathematicsconvex analysismathematicsmathematical programmingdifferential geometrymathematical optimizationconvex optimizationderivative-free optimization

Identifiability, the Kl Property in Metric Spaces, and Subgradient Curves. Foundations of Computational Mathematics (2024)

A. S. LewisTonghua Tian

mathematical analysisfunction spaceskl propertygeometry and topologygeometric analysisabstract and applied analysisriemannian manifoldapplied mathematicsmathematicsgeometric topologymetric graph theory

Lipschitz Minimization and the Goldstein Modulus. arXiv (Cornell University) (2024)

Kong, SiyuLewis, Adrian S.

computer sciencecomputational complexityobjective gradientsnondifferentiable optimizationgoldstein modulusnumerical algorithmsconvex optimizationcontinuous optimizationcomputational optimizationglobal optimizationapplied mathematicsconvex analysislipschitz minimizationnumerical analysismathematical optimizationnumerical linear algebraderivative-free optimization

Local Geometry of Feasible Regions via Smooth Paths. arXiv (Cornell University) (2024)

Lewis, Adrian S.Nicolae, AdrianaTian, Tonghua

smooth manifoldsgeometry and topologyvariational analysislocal geometrygeometric analysiseuclidean spacereal algebraic geometryconvex hullsapplied mathematicsconvex analysismathematicsgeometryconvex optimizationgeometric topologycomputational geometry

Recognizing Weighted Means in Geodesic Spaces. arXiv (Cornell University) (2024)

Goodwin, ArielLewis, Adrian S.Lopez-Acedo, GenaroNicolae, Adriana

mathematical optimizationmanifold modelinggeometry and topologyweighted meansgeometric algorithmsgeometric analysismanifold learningeuclidean spaceinverse problemconvex hullsapplied mathematicsconvex analysismathematicsdifferential geometrygeometryconvex optimizationgeometric topology

The Complexity of First-Order Optimization Methods From a Metric Perspective. Mathematical Programming (2024)

A. S. LewisTonghua Tian

computer sciencedesign optimizationcomputational complexitymetric perspectivecontinuous optimizationcomputational optimizationmathematicsmathematical optimizationderivative-free optimization

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Adrian S. Lewis

Professor Samuel B Eckert Professor of Engineering

Cornell University

Affiliations

College of Engineering

School of Operations Research and Information Engineering

Adrian S. Lewis is currently serving as a College Of Engineering Professor Samuel B Eckert Professor of Engineering at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Adrian S. Lewis

Cornell University

Professor Samuel B Eckert Professor of Engineering

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Convex Optimization on Cat(0) Cubical Complexes. Advances in Applied Mathematics (2025)

Ariel GoodwinAdrian S. LewisGenaro López-AcedoAdriana Nicolae

computational mathematicscomputational optimizationconvex hullsapplied mathematicsconvex analysismathematicsmathematical optimizationconvex optimizationcomputational geometry

Lipschitz Minimization and the Goldstein Modulus. Mathematical Programming (2025)

Siyu KongA. S. Lewis

functional analysisapproximation theoryvariational inequalitiesabstract and applied analysislipschitz minimizationapplied mathematicsmathematicsmathematical optimization

A Subgradient Splitting Algorithm for Optimization on Nonpositively Curved Metric Spaces. arXiv (Cornell University) (2024)

Goodwin, ArielLewis, Adrian S.López-Acedo, GenaroNicolae, Adriana

Basic Convex Analysis in Metric Spaces With Bounded Curvature. SIAM Journal on Optimization (2024)

Adrian S. LewisGenaro López-AcedoAdriana Nicolae

Horoballs and the Subgradient Method. arXiv (Cornell University) (2024)

Lewis, Adrian S.Lopez-Acedo, GenaroNicolae, Adriana

Identifiability, the Kl Property in Metric Spaces, and Subgradient Curves. Foundations of Computational Mathematics (2024)

A. S. LewisTonghua Tian

Lipschitz Minimization and the Goldstein Modulus. arXiv (Cornell University) (2024)

Kong, SiyuLewis, Adrian S.

Local Geometry of Feasible Regions via Smooth Paths. arXiv (Cornell University) (2024)

Lewis, Adrian S.Nicolae, AdrianaTian, Tonghua

Recognizing Weighted Means in Geodesic Spaces. arXiv (Cornell University) (2024)

Goodwin, ArielLewis, Adrian S.Lopez-Acedo, GenaroNicolae, Adriana

The Complexity of First-Order Optimization Methods From a Metric Perspective. Mathematical Programming (2024)

A. S. LewisTonghua Tian

computer sciencedesign optimizationcomputational complexitymetric perspectivecontinuous optimizationcomputational optimizationmathematicsmathematical optimizationderivative-free optimization

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Utah State University

calculus of variation

nonlinear functional analysis

Damek Shea Davis

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Cornell University

data science

computational optimization

Jong-Shi Pang

Institution

University of Southern California

finite-dimensional variational inequalities

semi-infinite optimization

Vikram Krishnamurthy

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bio-inspired computation

Jason Hicken

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aerodynamics

aerospace engineering

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nonlinear optimization

Nikolaos Sahinidis

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mixed-integer nonlinear programs

engineering

Louis Nirenberg

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calculus of variation

differential geometry

Roger Georges Ghanem

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earthquake engineering

stochastic process

Mihailo Jovanovic

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