Samantha Moore

activity

20182021

most citedBigraded Betti numbers and Generalized Persistence Diagrams

4 citations · 4 across the 2 of their papers we have counts for

collaborators

4 papers

math.AT2021★ 4 cited

Bigraded Betti numbers and Generalized Persistence Diagrams

Woojin Kim, Samantha Moore

Commutative diagrams of vector spaces and linear maps over $Z^{2}$ are objects of interest in topological data analysis (TDA) where this type of diagrams are called 2-parame…

math.AT2020

Hyperplane Restrictions of Indecomposable $n$ -Dimensional Persistence Modules

Samantha Moore

Understanding the structure of indecomposable $n$ -dimensional persistence modules is a difficult problem, yet is foundational for studying multipersistence. To this end, Buchet and…

math.AT2020

A Combinatorial Formula for the Bigraded Betti Numbers

Samantha Moore

It has been shown that $1$ -parameter persistence modules have a very simple classification, namely there is a discrete invariant called a barcode that completely characterizes $1$ -…

math.NT2018

On the Zeroes of Half-Integral Weight Eisenstein Series on $Γ_{0} (4)$

Samantha C. Moore

We locate all but $O (k lo g k)$ zeroes of the half integral weight Eisenstein series $E_{\infty} (z, k)$ of $Γ_{0} (4)$ for $k$ sufficiently large. To do this, we relate $E_\infty(…

Bigraded Betti numbers and Generalized Persistence Diagrams

Hyperplane Restrictions of Indecomposable n-Dimensional Persistence Modules

A Combinatorial Formula for the Bigraded Betti Numbers

On the Zeroes of Half-Integral Weight Eisenstein Series on Γ0​(4)

Hyperplane Restrictions of Indecomposable $n$ -Dimensional Persistence Modules

On the Zeroes of Half-Integral Weight Eisenstein Series on $Γ_{0} (4)$