1 citations · 1 across the 7 of their papers we have counts for
7 papers
Newton strata realization for hypersurfaces via explicit p-adic cohomology
Ryan Batubara, Jack J Garzella, Yongyuan Huang +1
Let be a smooth projective hypersurface over a finite field of characteristic . We address the problem of practically computing the zeta function of (equiva…
-intersection flatness of dagger and Berkovich Tate algebras
Rankeya Datta, Jack J Garzella, Kevin Tucker
We show, using the techniques developed in arXiv:2504.06444 and arXiv:2305.11139, that dagger algebras and Tate algebras in the sense of Berkovich in prime characteristic h…
Abhyankar valuations, Prüfer-Manis valuations, and perfectoid Tate algebras
Dimitri Dine, Jack J Garzella
Let be a perfectoid field. We describe all quotient fields of the perfectoid Tate algebra\begin{equation*}T_{n,K}^{\text{perfd}}=K\langle X_{1}^{1/p^{\infty}},\dots, X_{n}^{1/p…
On F-pure thresholds and quasi-F-purity of hypersurfaces
Jack J Garzella, Vignesh Jagathese
We show that quasi--pure but not -pure isolated quasi-homogeneous hypersurface singularities necessarily have -pure threshold . This extends work of Bhatt…
K3 surfaces of any Artin-Mazur height over and via quasi--split singularities and GPU acceleration
Ryan Batubara, Jack J Garzella, Alex Pan
We develop a fast algorithm to calculate the Artin-Mazur height (equivalently, the quasi--split height) of a Calabi-Yau hypersurface, building on the work in arXiv:2204.10076. W…
The perfectoid Tate algebra has uncountable Krull dimension
Jack J Garzella
Let \(K\) be a perfectoid field with pseudo-uniformizer \(π\). We adapt an argument of Du in \cite{DuUncountable} to show that the perfectoid Tate algebra \(K\langle x^{1 / p^{\inf…
On the solvability of the discrete conductivity and Schrödinger inverse problems
Justin Boyer, Jack J. Garzella, Fernando Guevara Vasquez
We study the uniqueness question for two inverse problems on graphs. Both problems consist in finding (possibly complex) edge or nodal based quantities from boundary measurements o…