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

Image of Ahmed Bou-Rabee
Ahmed Bou-Rabee

NSF Postdoctoral Fellow

Image of Xiaodong Cao
Xiaodong Cao

Professor

Image of Shiping Cao
Shiping Cao

Ph.D. Candidate

Image of Xiaodong Cao
Xiaodong Cao

Professor

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Brian Chao

Ph.D. Candidate

Image of Mark Dalthorp
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

Image of John M. Guckenheimer
John M. Guckenheimer

Abram R. Bullis Professor Emeritus of Mathematics

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Diana Halikias

Ph.D. Candidate

Image of Max Hallgren
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

Image of Malte Hassler
Malte Hassler

Ph.D. Candidate

Image of Kimia Kazemian
Kimia Kazemian

Ph.D. Student

Image of Hannah Keese
Hannah Keese

Ph.D Candidate

Image of Bilge Koksal
Bilge Koksal

Ph.D. Student

Image of Max Lipton
Max Lipton

Ph.D. Candidate

Image of Yusheng Luo
Yusheng Luo

Assistant Professor

Image of Camil Muscalu
Camil Muscalu

Professor

Image of Alice Nadeau
Alice Nadeau

NSF Postdoctoral Associate (Visiting Assistant Professor)

Image of Matej Neumann
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

Image of Laurent Saloff-Coste
Laurent Saloff-Coste

Abram R. Bullis Professor of Mathematics

Image of Alfred H. Schatz
Alfred H. Schatz

Professor Emeritus

Image of Kihoon Seong
Kihoon Seong

H.C. Wang Assistant Professor

Image of Mikołaj Sierżęga
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

Image of Steven Strogatz
Steven Strogatz

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

Image of Peter Vang Uttenthal
Peter Vang Uttenthal

Visiting Assistant Professor

Image of Christopher Wang
Christopher Wang

Ph.D. Student

Image of Zhihan Wang
Zhihan Wang

Klarman Fellow

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Hosea Wondo

Visiting Assistant Professor

Image of Xin Zhou
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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