Code

For all my code, please visit my GitHub page (see https://github.com/pgallardo)

1. Variations of GIT quotients package (2016)

In joint work with Jesus Martinez-Garcia, we developed software, in Python, that calculates the computational information required to describe the GIT quotients parametrizing a pair defined by hypersurface and a hyperplane. The mathematical background is found in our article "Variations of geometric invariant quotients for pairs, a computational approach" and an application is described in our article "Moduli of cubic surfaces and their anticanonical divisors." A detailed description of the program's output and license can be found here. For the articles, please look at my homepage.

2. Quivers and their thin sincere representations

In ongoing work with Mary Barker, we are developing software to describe the moduli of thin sincere representations. These are geometric objects with combinatorial objects, such as reflexible polytopes, associated to them.