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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.

Field Members

Louis Billera Geometric and algebraic combinatorics
Robert Connelly              Discrete geometry, computational geometry and the rigidity of discrete structures
Joseph Halpern AI, security, and game theory
Timothy J. Healey                   Applied analysis and partial differential equations, mathematical continuum mechanics
John H. Hubbard Analysis, differential equations, differential geometry
Jon Kleinberg Networks and information
Robert Kleinberg Algorithms and theoretical computer science
Dexter Kozen Computational theory, computational algebra and logic, logics and semantics of programming languages
Lionel Levine Probability and combinatorics
Adrian Lewis Variational analysis and nonsmooth optimization
Anil Nerode Mathematical logic, computability theory, computer science, mathematics of AI, control engineering, quantum control of macroscopic systems
Richard H. Rand Nonlinear dynamics
James Renegar Optimization algorithms
Laurent Saloff-Coste Analysis, potential theory, probability and stochastic processes
Gennady Samorodnitsky Probability theory
Michael E. Stillman Algebraic geometry, computational algebra
Steven Strogatz Dynamical systems applied to physics, biology, and social science.
Éva Tardos Algorithm design and algorithmic game theory
Alex Townsend Numerical analysis, scientific computing, and numerical algebraic geometry
Alexander Vladimirsky Numerical methods, dynamical systems, nonlinear PDEs, control theory
Marten Wegkamp Mathematical statistics, empirical process theory, high dimensional statistics and statistical learning theory

 

Emeritus and Other Faculty
 

James H. Bramble Numerical solutions of partial differential equations
Leonard Gross Functional analysis, constructive quantum field theory
John M. Guckenheimer Dynamical systems 
Ian Lizarraga Dynamical systems
Alfred H. Schatz Numerical solutions of partial differential equations
John Smillie Dynamical systems