Edward Pearce-Crump

I am a Research Associate in the Mathematical and Computational Foundations of Artificial Intelligence working in the Department of Mathematics at Imperial College London under the mentorship of Dr Anthea Monod. My research is supported by a £10M EPSRC Mathematical and Computational Foundations of Artificial Intelligence Hub [EP/Y028872/1]. You can read the press release about the EPSRC AI Hub here.

Research Interests

I have a broad range of research interests, but I focus mostly on the following topics and their possible intersection:

• Group Equivariant Neural Networks

• Group Representation Theory and Invariant Theory

• Algebraic Combinatorics

• Category Theory

• Quantum Computing

I am particularly interested in exploring how combinatorial objects and structures, which are traditionally rooted in pure mathematics, can provide a theoretical foundation for practical applications — most notably, in the development of group equivariant neural networks.