Analysis

Mathematical analysis covers a wide range of different subjects. Areas currently active at Cornell include: dynamics, harmonic analysis, potential analysis, partial differential equations, geometric analysis, applied analysis, and numerical methods. In addition, we value the many interactions with other areas such as differential geometry, geometry, Lie theory, combinatorics, and probability.

Notable contributions of Cornell faculty to analysis include: Larry Payne’s work on ill-posed problems, Len Gross’s logarithmic Sobolev inequality, Strichartz’s estimates, James Eell’s work on harmonic maps (joint with J. Sampson), and Richard Hamilton’s seminal contribution to the Ricci flow.

Faculty Members

Xiaodong CaoDifferential geometry and geometric analysis
Timothy J. HealeyApplied analysis and partial differential equations, mathematical continuum mechanics
John H. HubbardAnalysis, differential equations, differential geometry
Yusheng LuoDynamical systems, complex dynamics, Teichmüller theory
Camil MuscaluHarmonic analysis and partial differential equations
Laurent Saloff-CosteAnalysis, potential theory, probability and stochastic processes
Daniel SternDifferential geometry, PDEs, calculus of variations
Steven StrogatzDynamical systems applied to physics, biology, and social science.
Nicolas TemplierNumber theory, automorphic forms, and mathematical physics
Alex TownsendNumerical analysis, scientific computing, and numerical algebraic geometry
Alexander VladimirskyNumerical methods, dynamical systems, nonlinear PDEs, control theory
Xin ZhouGeometric Analysis and Calculus of Variations

Emeritus and Other Faculty

Leonard GrossFunctional analysis, constructive quantum field theory
John M. GuckenheimerDynamical systems
Richard H. RandNonlinear dynamics
Alfred H. SchatzNumerical solutions of partial differential equations
Kihoon SeongAnalysis, probability, PDEs
Mikołaj SierżęgaAnalysis
John SmillieDynamical systems
Zhihan WangDifferential geometry, geometric analysis
Hosea WondoGeometric analysis

Activities and Resources:

Related people

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Ahmed Bou-Rabee

NSF Postdoctoral Fellow

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Shiping Cao

Ph.D. Candidate

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Xiaodong Cao

Professor

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Xiaodong Cao

Professor

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Brian Chao

Ph.D. Candidate

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Mark Dalthorp

Ph.D. Candidate

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Emily Dautenhahn

Ph.D. Candidate

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Harry Fluck

Ph.D. Candidate

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Emil Graf

Ph.D. Student

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Leonard Gross

Professor Emeritus

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John M. Guckenheimer

Abram R. Bullis Professor Emeritus of Mathematics

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Diana Halikias

Ph.D. Candidate

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Max Hallgren

Ph.D. Candidate

Image of Daniel Halpern-Leistner
Daniel Halpern-Leistner

Associate Professor

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Terence Harris

Harry Kesten Assistant Professor

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Malte Hassler

Ph.D. Candidate

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Kimia Kazemian

Ph.D. Student

Image of Hannah Keese
Hannah Keese

Ph.D Candidate

Image of Bilge Koksal
Bilge Koksal

Ph.D. Student

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Max Lipton

Ph.D. Candidate

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Yusheng Luo

Assistant Professor

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Camil Muscalu

Professor

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Alice Nadeau

NSF Postdoctoral Associate (Visiting Assistant Professor)

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Matej Neumann

Ph.D. Student

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Eyvindur Palsson

Visiting Scholar

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Richard Rand

Professor, Stephen H. Weiss Presidential Fellow

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Laurent Saloff-Coste

Abram R. Bullis Professor of Mathematics

Image of Alfred H. Schatz
Alfred H. Schatz

Professor Emeritus

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Kihoon Seong

H.C. Wang Assistant Professor

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Mikołaj Sierżęga

Visiting Assistant Professor

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John Smillie

Professor Emeritus

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Daniel Stern

Assistant Professor

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Steven Strogatz

Susan and Barton Winokur Distinguished Professor for the Public Understanding of Science and Mathematics, Stephen H. Weiss Presidential Fellow

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Steven Strogatz

Susan and Barton Winokur Distinguished Professor for the Public Understanding of Science and Mathematics, Stephen H. Weiss Presidential Fellow

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Peter Vang Uttenthal

Visiting Assistant Professor

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Zhihan Wang

Klarman Fellow

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Christopher Wang

Ph.D. Student

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Hosea Wondo

Visiting Assistant Professor

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Xin Zhou

Associate Professor

All research areas

Algebra    Analysis    Applied Mathematics    Combinatorics and Discrete Geometry    Geometry    Logic    Probability and Statistics    Topology   
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