Heilbronn Research Fellow
Much of my recent research has focussed on group generation, probabilistic group theory and permutation group theory. Two key themes of this work are the subgroup structure and conjugacy of simple (finite or algebraic) groups, which are topics that have many applications across mathematics. However, I am also interested in representation theory, geometric group theory, combinatorics and fractal geometry, and I am always keen to explore new areas.
For a nontechnical introduction to the field of group theory, with a particular focus on my PhD topic, see this short exposition on The Art of Measuring Symmetry.
Until June 2019, I was a PhD student under the supervision of Dr Tim Burness. In 2017, I was awarded the Cecil King Travel Scholarship from the London Mathematical Society, with which I visited the University of Auckland and the University of Western Australia. Immediately following my PhD, I was an LMS Early Career Fellow based at the University of Padua.
My Erdős number is three via three disjoint paths, for example
(Harper → Praeger → Cameron → Erdős)
(Harper → Burness → Seress → Erdős)
(Harper → Glasby → Palfy → Erdős).
Feel free to contact me at the details below.