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

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.

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.