Mathematics Research Groups

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

$Plimpton 322, a Babylonian table$

Algebra

The algebra group includes experts in algebraic geometry, computational methods and commutative algebra, group theory, number theory, and representation theory.

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$Navier-Stokes differential equation$

Analysis

Areas currently active at Cornell include dynamics, harmonic analysis, potential analysis, partial differential equations, geometric analysis, applied analysis, and numerical methods.

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$A stable manifold of the origin in the Lorenz system.$

Applied Mathematics

Applied mathematics is regarded as an interdisciplinary activity that results from the interaction of mathematics with other sciences and engineering. Cornell's “applied” group includes mathematicians working in dynamical systems theory, PDEs, calculus of variations, computational algebra, applied probability theory, statistics, numerical analysis, and scientific computing.

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$A rigid triangle that moves while each vertex is constrained to stay on a straight line$

Combinatorics and Discrete Geometry

Faculty interests include algebraic and topological combinatorics, polytopes, matroids, combinatorial Hopf algebras and rigidity in discrete geometric structures.

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$The E8 root system$

Geometry

Faculty pursue research in symplectic geometry, Lie theory, and geometric analysis, including geometric flows.

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$The wooden computing machine$

Logic

Many logicians have been trained at Cornell. Current interests of our faculty include mathematical logic, set theory, recursion theory, and computability theory.

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$Internal DLA in Z2$

Probability and Statistics

The department has a long history of strength in both probability and statistics.

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$A Seifert surface for the Borromean rings$

Topology

The Cornell Topology Festival is an internationally known event conducted annually since 1962. Current research interests include low-dimensional topology, symplectic geometry, the geometric and combinatorial study of discrete groups, and dynamical systems.

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