My research interests include commutative algebra, (numerical) algebraic geometry and combinatorics, with a focus on computation particularly with Macaulay2.
From 2021 - 2022 I was a Bridge postdoc at ICERM.
Primary decomposition of modules: a computational differential approach (joint with Yairon Cid-Ruiz). J. Pure Appl. Algebra (2021), to appear (arXiv:2104.03385).
Surjections of unit groups and semi-inverses, J. Commut. Algebra (2020), to appear (arXiv:1710.05492).
Preprints (on arXiv):
Sums of Squares, Hankel index and Almost Real Rank (joint with Greg Blekherman and Jaewoo Jung) (arXiv:2108.06635).
Computing multiplicity sequences (joint with Youngsu Kim and Jonathan Montaño) (arXiv:2103.14175).
Noetherian Operators in Macaulay2 (joint with Yairon Cid-Ruiz, Marc Härkönen, Robert Krone and Anton Leykin) (arXiv:2101.01002).
Flat maps to and from Noetherian rings (arXiv:1711.04958).
Mono: an algebraic study of torus closures (arXiv:1710.04614).
Closed points on schemes (arXiv:1708.06494).
Invertible sums of matrices (arXiv:1603.06696).