We are equally passionate about teaching and research. The two are symbiotic. Good research requires both intuition and mathematical rigour, and our teaching reflects this. Rather than merely presenting the end result, we explain the intuition behind the result, and how the result could have been discovered by ourselves. We encourage students to learn by discovery.
We are currently working to develop better software tools for teaching and for sharing knowledge. The core of this project is understanding what knowledge is and how it can be conveyed and used by others. Crudely put, we believe there are two key aspects to knowledge: snippets of information, and the relationships between these snippets. The former is easy to convey, but the latter is where true knowledge lies.
See also our Tutorial and Review Articles.
We have organised the following seminar series.
We have held various informal courses and reading groups covering topics such as the following.
I have taught the following courses.