Joel Louwsma

collaborators

3 papers

math.AG2025

Transfers and Unstable Degrees in the $A^{1}$ -Brouwer Degrees Package for Macaulay2

Stephanie Atherton, Somak Dutta, Jordy Lopez Garcia +4

We describe a significant update to the Macaulay2 package A1BrouwerDegrees. We extend several methods in the previous version of the package to the setting of finite Ã©tale algebra…

math.CO2025

Generalized chip firing and critical groups of arithmetical structures on trees

Kassie Archer, Alexander Diaz-Lopez, Darren Glass +1

Chip firing provides a way to study the sandpile group (also known as the Jacobian) of a graph. We use a generalized version of chip firing to bound the number of invariant factors…

math.NT2025

On solutions of $\sum_{i = 1}^{n} 1/ x_{i} = 1$ in integers of the form $2^{a} k^{b}$

Joel Louwsma

We give an algorithm that produces all solutions of the equation $\sum_{i = 1}^{n} 1/ x_{i} = 1$ in integers of the form $2^{a} k^{b}$ , where $k$ is a fixed positive integer that is not a pow…

Transfers and Unstable Degrees in the A1-Brouwer Degrees Package for Macaulay2

Generalized chip firing and critical groups of arithmetical structures on trees

On solutions of ∑i=1n​1/xi​=1 in integers of the form 2akb

Transfers and Unstable Degrees in the $A^{1}$ -Brouwer Degrees Package for Macaulay2

On solutions of $\sum_{i = 1}^{n} 1/ x_{i} = 1$ in integers of the form $2^{a} k^{b}$