James McAllister, (PhD Researcher)

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Biography

Mathematics graduate interested in graph theory, applied topology, and computational neuroscience.

I am researching the role and development of network structure in computation, synaptic maturation, and heterosynaptic plasticity. In particular, I am currently investigating how heterosynaptic plasticity rules may optimise important features of (local and global) network structure and architecture, such as clustering coefficients, cliques, communities, shortest path lengths, and small-world qualities. This work involves both computational and numerical modelling, as well as mathematical analyses of graph eigenspectra (adjacency and Laplacian matrices) and topological analyses. My research also encompasses architectural questions regarding optimised recurrent neural networks (such as in reservoir computing). I am interested in the use of directed simplicial cliques and cycles in studying the fingerprints of computational networks.

Education/Academic qualification

Master, MRes (Masters of Research), Queen's University Belfast

20222023

PGCE Mathematics, Queen's University Belfast

20182019

Master, Mathematics MA (Dubl), Trinity College Dublin

20142018

External positions

Visiting Researcher, University of Bristol

Feb 2024 → …

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