Welcome to my webpage. I am currently a Research Associate at the Centre for the Study of Existential Risk, and the principal investigator of the Cambridge University Ethics in Mathematics Project.

In 2016 I started looking in to the ethical issues that mathematically-trained people may face as part of their mathematical work. This covers mathematicians in academia, as well as those working in industry. I've delivered a lecture series on this, organised conferences, travelled to give seminars, have several writings, and have set up a discussion paper series, on this. There are a team of us now working on this, under the banner of the Cambridge University Ethics in Mathematics Project (CUEiMP) which was set up in 2018. It has plenty of resources for those wanting to learn more about, or even teach, ethics in mathematics.

Currently, my main research interests lie in Ethics in Mathematics. This work addresses the ethical challenges and risks posed by mathematics, mathematicians, and mathematically-powered technologies. My research looks at the ethical issues arising in all types of mathematical work, including AI, blockchain, finance, modelling, surveillance, cryptography, and statistics.

Prior to this, I spent many years as a research mathematician. In that time, my main mathematical interests were in decision problems in group theory. This is an area of study that sits at the interface between mathematical logic (more specifically: computability theory) and algebra (more specifically: group theory). In short, I find various ways of embedding the mechanical action of a Turing Machine into a group, usually reflected via group multiplication, to show that various problems in group theory are undecidable (that is, computationally impossible). Related to this, I have interests in combinatorial and geometric group theory, computability theory, and low-dimensional topology. It is these areas that provide the tools for, and the applications of, the theory of undecidability in groups.

You can find more about my research, including a list of publications, by going to my research page.

I have taught several courses in Cambridge, at the undergraduate and graduate levels, as well as a course on ethics in mathematics. You can find more about my teaching, including course notes, example sheets, and other resources, by going to my teaching page.

2023-present: Research Associate, Centre for the Study of Existential Risk, University of Cambridge, UK.

2020-2022: Advisory Group consultant, Machine Intelligence Garage ethics committee, Digital Catapult, UK.

2019-2023: Fellow and College Teaching Officer at King's College, University of Cambridge.

2017-2019: Faculty postdoctoral research fellow, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, UK.

2015-2017: Marie SkÅ‚odowska-Curie postdoctoral research fellow, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, UK.

2013-2015: Postdoctoral research fellow, Department of Mathematics, University of Neuchatel, Switzerland.

2012-2013: Postdoctoral research fellow, Department of Mathematics, University of Milan, Italy.

I have two PhDs in mathematics, from the University of Melbourne (Australia), and the University of Cambridge (UK).

**Email:**
mcc56 AT cam DOT ac DOT uk