My research is in commutative algebra inspired by algebraic geometry. Some of the problems I am working on include the implicitization problem and the study of blowup algebras, multiplicity theory and its interplay with equisingularity theory, derivations, linkage and residual intersection theory.

RECENT PREPRINT:

Ela Celikbas, Emilie Dufresne, Louiza Fouli, Elisa Gorla, Kuei-Nuan Lin, Claudia Polini, and Irena Swanson, *Rees algebras of maximal minors of sparse matrices*, submitted for publication.

Robin Hartshorne and Claudia Polini, *Quasi-cyclic modules and coregular sequences*, Math. Z. (2021), to appear.