I uploaded my PhD thesis to this website. It is available on the mathematics page, or through this blog post. This blog post also contains additional information, such as which parts of the thesis have been published, and where they have been published.
One of the cool results in model theory is that in any elementary class there can be at most one good independence relation. We call this canonicity of independence. In this post we take a look at the specific case of vector spaces, and we prove that any good independence relation in vector spaces must be linear independence. No prior knowledge of model theory is required, the proof only uses basic linear algebra (i.e. linear independence and bases).
After a bit of work the past couple of weeks, this new version of my website is finally finished. So from now on I can put my papers, slides and other interesting (mathematical) content here on this site.