Applied Mathematics

In the Cornell Department of Mathematics, the “applied” group includes mathematicians working in dynamical systems theory, PDEs, calculus of variations, computational algebra, applied probability theory, statistics, numerical analysis, and scientific computing. The group’s activities are often coordinated with the Center for Applied Mathematics and the graduate field of applied mathematics.

Many great mathematicians of the past would be hard pressed to identify themselves as either pure or applied, and many of us at Cornell share this philosophy. Applied mathematics is regarded as an interdisciplinary activity that results from the interaction of mathematics with other sciences and engineering. Whether new mathematics is inspired by questions arising in other fields or new applications are discovered for pre-existing mathematics, the results should stand on their own within a single discipline. In addition to applied talks in departmental seminars, the group members participate in seminars and colloquia outside the department, including the interdisciplinary CAM Colloquium and the SCAN seminar.

Faculty Members

Robert Connelly             Discrete geometry, computational geometry and the rigidity of discrete structures
Moon DuchinDiscrete geometry, randomized models
Joseph HalpernAI, security, and game theory
Timothy J. Healey                  Applied analysis and partial differential equations, mathematical continuum mechanics
John H. HubbardAnalysis, differential equations, differential geometry
Jon KleinbergNetworks and information
Robert KleinbergAlgorithms and theoretical computer science
Dexter KozenComputational theory, computational algebra and logic, logics and semantics of programming languages
Lionel LevineProbability and combinatorics
Adrian LewisVariational analysis and nonsmooth optimization
Anil NerodeMathematical logic, computability theory, computer science, mathematics of AI, control engineering, quantum control of macroscopic systems
James RenegarOptimization algorithms
Laurent Saloff-CosteAnalysis, potential theory, probability and stochastic processes
Gennady SamorodnitskyProbability theory
Michael E. StillmanAlgebraic geometry, computational algebra
Steven StrogatzDynamical systems applied to physics, biology, and social science.
Éva TardosAlgorithm design and algorithmic game theory
Alex TownsendNumerical analysis, scientific computing, and numerical algebraic geometry
Alexander VladimirskyNumerical methods, dynamical systems, nonlinear PDEs, control theory
Marten WegkampMathematical statistics, empirical process theory, high dimensional statistics and statistical learning theory
Yunan YangNumerical analysis, inverse problems, optimal transportation, machine learning, and nonconvex optimization

Emeritus and Other Faculty
 

Louis BilleraGeometric and algebraic combinatorics
Leonard GrossFunctional analysis, constructive quantum field theory
John M. GuckenheimerDynamical systems
Sungwoo JeongNumerical linear algebra, random matrix theory
Ajeet KumarContinuum mechanics, multiscale mechanics, computational mechanics, numerical methods
Richard H. RandNonlinear dynamics
Alfred H. SchatzNumerical solutions of partial differential equations
John SmillieDynamical systems

Activities and Resources:

Related people

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Louis Billera

Professor Emeritus

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Lauren Childs

Michler Scholar

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William Clark

NSF Postdoctoral Associate (Visiting Assistant Professor)

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Moon Duchin

Professor

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Yael Eisenberg

Ph.D. Candidate

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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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Mary Ann Huntley

Senior Lecturer

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Sungwoo Jeong

H.C. Wang Assistant Professor

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Robert Kleinberg

Associate Professor

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Jon M. Kleinberg

Tisch University Professor of Computer Science and Information Science and Interim Dean of Computing and Information Science

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Robert Kleinberg

Associate Professor

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Jon M. Kleinberg

Tisch University Professor of Computer Science and Information Science and Interim Dean of Computing and Information Science

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Dexter Kozen

Joseph Newton Pew, Jr. Professor in Engineering

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Dexter Kozen

Joseph Newton Pew, Jr. Professor in Engineering

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Ajeet Kumar

Visiting Professor

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Lionel Levine

Professor

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Adrian Lewis

Professor

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Adrian Lewis

Professor

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Ryan McCleary

Ph.D. Student

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Alice Nadeau

NSF Postdoctoral Associate (Visiting Assistant Professor)

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Anil Nerode

Distinguished Professor of Arts and Sciences in Mathematics

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James Renegar

Professor

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James Renegar

Professor

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Laurent Saloff-Coste

Abram R. Bullis Professor of Mathematics

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Alfred H. Schatz

Professor Emeritus

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John Smillie

Professor Emeritus

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Michael E. Stillman

Professor, 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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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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Éva Tardos

Jacob Gould Schurman Professor

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Éva Tardos

Jacob Gould Schurman Professor

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Alex Townsend

Associate Professor, Stephen H. Weiss Junior Fellow

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Mark Walth

Ph.D. Candidate

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Yunan Yang

Goenka Family Assistant Professor in Mathematics

All research areas

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