At its heart, commutative algebra is the study of commutative rings, which are algebraic objects that arise in numerous areas of mathematics including algebraic geometry, algebraic statistics, combinatorics, coding theory, discrete mathematics, mathematical biology, and number theory. Clemson’s research group in commutative algebra uses a wide variety of techniques to investigate the structure and properties of commutative rings as well as their applications to other areas like graph theory and number theory.

- Jim Coykendall: commutative algebra and algebraic number theory
- Sean Sather-Wagstaff: homological and combinatorial commutative algebra