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Sage Anastasi

Studying towards a PhD in Mathematics

27 November 2023
HOW TO APPLY
Working Thesis Title

The role of network dimensionality in political polarisation.

Research on political polarisation typically focusses on finding a bimodal division between political parties, usually the US-American Republican and Democrat parties. This approach can be difficult to apply to many-party democracies like New Zealand. To address this gap, my thesis explores the idea that polarisation is instead about the political field narrowing down to two possible positions through a process of increasing correlation. As an interdisciplinary scholar, I also draw on work from political science which argues that polarisation is not just correlation in the political field, but is a process of dividing material and social networks as well, for example, through passing apartheid laws. To apply these frameworks to data science, I use Random Dot-Product Graphs to capture social networks in spaces such as Twitter, and use Singular Value Decomposition to assess whether their dimensionality – how correlated the network is – is changing. This method gives easily interpreted results about whether polarisation is occurring in the network.

 

Supervisors:

Primary Supervisor: Giulio Dalla Riva

 

 
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