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

Geometric and algebraic combinatorics
Discrete geometry, computational geometry and the rigidity of discrete structures
AI, security, and game theory
Applied analysis and partial differential equations, mathematical continuum mechanics
Analysis, differential equations, differential geometry
Networks and information
Algorithms and theoretical computer science
Computational theory, computational algebra and logic, logics and semantics of programming languages
Probability and combinatorics
Variational analysis and nonsmooth optimization
Mathematical logic, computability theory, computer science, mathematics of AI, control engineering, quantum control of macroscopic systems
Nonlinear dynamics
Optimization algorithms
Analysis, potential theory, probability and stochastic processes
Probability theory
Algebraic geometry, computational algebra
Dynamical systems applied to physics, biology, and social science.
Algorithm design and algorithmic game theory
Numerical analysis, scientific computing, and numerical algebraic geometry
Numerical methods, dynamical systems, nonlinear PDEs, control theory
Mathematical statistics, empirical process theory, high dimensional statistics and statistical learning theory

Emeritus and Other Faculty

Numerical solutions of partial differential equations
Functional analysis, constructive quantum field theory
Dynamical systems
Dynamical systems
Numerical solutions of partial differential equations
Dynamical systems

Activities and Resources