Congratulations to 2nd year grad student Nick Chen, who is the 2022 recipient of the International Association for Relationship Research (IARR) Steve Duck New Scholars Award. This award will provide grant funding to support Nick’s proposed research project, entitled “Cross-Cultural Differences in the Transformation of Motivation.”
Although the project we set out to complete is nearing its end, there are some clear places to extend the work for potential future projects. We'll list a few ideas for projects here as well as some ways to go about starting them.
Extending to \(\mathbb{RP}^2\) for representations in \(SL(3,\mathbb{R})\)
We've mentioned this idea for a future project before, but on completing this algorithm for \(SL(2,\mathbb{R})\) and
At the end of last semester, we had an idea for a new searching algorithm that we called 'image patching'. You can read more about our initial idea on the old project page here.
New Visualization Tool
Our previous algorithms were able to find some valid intervals for smaller groups, but as after moving to the (3,4,4)-triangle group, our visualization of \(\mathbb{RP
Before we get started, let us review some definitions. Recall that a group presentation for group \(G\) is written \(G = \langle S | R\rangle\) where \(S\) is a set of generators for \(G\) and \(R\) is a set of relations \(\big(\)\((S_1)^2*(S_2)^3 = \) the identity element (\(id\)) is an example of a
