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.
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.