The algebra group includes experts in algebraic geometry, computational methods and commutative algebra, group theory, number theory, and representation theory.
Mathematics Research Groups
Areas currently active at Cornell include dynamics, harmonic analysis, potential analysis, partial differential equations, geometric analysis, applied analysis, and numerical methods.
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.
Combinatorics and Discrete Geometry
Faculty interests include algebraic and topological combinatorics, polytopes, matroids, combinatorial Hopf algebras and rigidity in discrete geometric structures.
Faculty pursue research in symplectic geometry, Lie theory, and geometric analysis, including geometric flows.
Many logicians have been trained at Cornell. Current interests of our faculty include mathematical logic, set theory, recursion theory, and computability theory.
Probability and Statistics
The department has a long history of strength in both probability and statistics.