Research
Research
Projectivity of the moduli of equidimensional branchvarieties (with Daniel Halpern-Leistner, Andres Fernandez Herrero, and Trevor Jones)
Duke Mathematical Journal (to appear)
[arXiv]
The Hilbert scheme of points on a threefold, I (with Joachim Jelisiejew and Alessio Sammartano)
[submitted | arXiv]
Cartwright-Sturmfels Hilbert schemes (with Alessio Sammartano)
[submitted | arXiv | Video]
On the parity conjecture for Hilbert schemes of points on threefolds (with Alessio Sammartano)
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (2025)
[Journal | arXiv]
On Rees algebras of 2-determinantal ideals (with Alessio Sammartano)
Journal of the London Mathematical Society (2024)
[Journal | arXiv]
Rational singularities of nested Hilbert schemes (with Alessio Sammartano)
International Mathematics Research Notices (2024)
[Journal | arXiv]
A local study of the fiber-full scheme (with Yairon Cid-Ruiz)
Journal of Algebra (2023)
[Journal | arXiv]
The fiber-full scheme (with Yairon Cid-Ruiz)
[pending revisions | arXiv | Video]
Hilbert schemes with two Borel-fixed points
Journal of Algebra (2023)
[Journal | arXiv]
On the tangent space to the Hilbert scheme of points in P3 (with Alessio Sammartano)
Transactions of the American Mathematical Society (2022)
[Journal | arXiv | Video 1 | Video 2]
The Hilbert scheme of a pair of linear spaces
Mathematische Zeitschrift (2022)
[Journal | arXiv]
On the smoothness of lexicographic points on Hilbert schemes (with Alessio Sammartano)
Journal of Pure and Applied Algebra (2022)
[Journal | arXiv]
Embeddings of quotient division algebras of rings of differential operators (with Jason P. Bell, Colin Ingalls)
Israel Journal of Mathematics (2017)
[Journal | arXiv]
I. The Geometry of Hilbert Schemes on Projective Space (2022) [Thesis | eScholarship]
II. Hilbert scheme of radius two (2020) [unpublished | arXiv]
SheafMaps - A Macaulay2 package for computing morphisms of sheaves and induced maps on cohomology (with Devlin Mallory, Claudiu Raicu, Mahrud Sayrafi, Greg Smith, and Keller VandeBogert)
GKMVarieties - A Macaulay2 package for computations with GKM varieties and moment graphs (with Chris Eur)