Joshua Ruiter

My research interests center on algebraic groups and various related topics like pinnings and rigidity for abstract homomorphisms. I am also interested in stochastic games.

Papers

On abstract homomorphisms of some special unitary groups

Coauthors: Igor A. Rapinchuk

Consensus and clustering in opinion formation on networks

Coauthors: Julia Bujalski, Grace Dwyer, Todd Kapitula, Quang-Nhat Le, Harjasleen Malvai, Jordan Rosenthal-Kay

An algebraic characterization of highly connected 2n-manifolds

Coauthors: Shamuel Auyeung, Daiwei Zhang

Software & computational projects

Pinning-Sympy

A package for computations with pinnings of matrix groups. View on GitHub.

Below are examples of programmatically generated LaTeX PDF files summarizing pinning computations for special linear, special orthogonal, and special unitary groups.

Special linear

Special Orthogonal

Split
Non-split

Special Unitary

Quasi-split
Non-quasi-split

Talks & notes

Theses

Notes

Some of these are notes I took during a graduate course, some are notes prepared for myself in preparation for my comprehensive exam.

Talks