Posts related to my research on Lehmer’s Mahler Measure problem – covers both cyclotomic and noncyclotomic matrices/graphs.
Having hit a bit of a wall trying to prove that a maximal cyclotomic matrix necessarily squares to 4I, I’ve been exploring related questions instead. For instance, it only took a couple of tweaks to my code to search for matrices that square to 3I instead of 4I; there turn out to be only finitely …
I’ve often said that trying to explain your work to others is the best way to check you understand it, and whilst preparing for this week’s talk at Cambridge (which was apparently well received!) I started to have some doubts about an algorithm I’d been using. In the end I didn’t go into enough technical …
Slides for a talk on cyclotomic matrices/graphs given at the MAGIC conference in Manchester.
Brief, fairly technical overview of what I’ve been working on these last few months.