Research

During my time in academia, the focus of my research was Mathematical Optimisation, with a particular focus on copositive optimisation. I published a PhD thesis on this, which is available here.

I have compiled a list of open problems related to copositivity (and complete positivity) which is available here.

A few years ago I started a poll on what notation should be used for the copositive and completely positive cones. This poll is still open at http://tinyurl.com/copositivenotation, and currently (as of 31/10/2017) by far the most popular notation is COP (\mathcal{COP}) for the copositive cone and CP (\mathcal{CP}) for the completely positive cone.

I also started a poll on what notation should be used for the doubly nonnegative cone and its dual, which is available at https://tinyurl.com/doublynonneg.