Hector Miller-Bakewell

Room 250
Wolfson Building
Parks Road
Oxford OX1 3QD

About me

I am Hector (or Hex, they/them), and I am a post-doctoral researcher in Graphical Calculi and Quantum Computing. My work has included the creation, alteration, and generalisation of graphical calculi, and the theoretical groundwork for the automated generation of theorems using these calculi. I have also helped develop the software Quantomatic, and a website on the ZX calculus, which contains tutorials, demos, and accessibility information. I used to chair the ZX-calculus workshop (now run by Cole Comfort) and I am the admin for the ZX-calculus Discord server.

The idea of conjecture synthesis is to automatically generate true and interesting statements inside a given theory. While the ZX-calculus is the primary calculus we work with (and therefore Quantum Computing theorems the primary output), the theory and software developed can be extended to other categories and calculi. My research has led to novel links between the study of circuit equations and more traditionally algebraic fields such as Galois Theory and Algebraic Geometry.

My other interests likely to be relevant to people reading this website are generally music or coding related. I have worked as a software engineer and as a data scientist, given talks on cyber security and data privacy at MozFest, and written academic publications on surveillance and trust. Although now greatly limited (due to damage to my hands) I am a flautist, pianist, and choral singer.

Research, talks and publications

In the event that this list lags behind reality you can also check on the arXiv or the publication list on zxcalculus.com.


I have, by now, far too many drawings of hedgehogs (among other things, but mostly hedgehogs), which you can find on my instagram. The reason for the name "sometimes my hands work" is because disability left me without full use of my hands for around five years, and drawing became part of the recovery process from that. It has only strengthened my resolve to try and improve accessibility in mathematics.