Algebra

Faculty with research interests in combinatorics are Sandra Spiroff.

Commutative algebra is a branch of pure mathematics that explores algebraic structures, specifically commutative rings and their ideals. Focused on the study of commutative rings, where the order of multiplication does not affect the outcome, this field delves into properties like factorization of polynomials, prime ideals, and the structure of algebraic varieties. Some key concepts include field theory, linear algebra, homological algebra, and the interplay between algebraic geometry and commutative algebra. Widely applied in algebraic geometry, number theory, and coding theory, commutative algebra plays a crucial role in understanding and solving mathematical problems across diverse disciplines.

Sandra Spiroff has researched several aspects of commutative algebra, from the homological to the structural. Her current interest delves into the combinatorial behavior of the subject.