#### Eric Hester

- Asymptotic analysis of PDEs
- Spectral algorithms for numerical PDE solvers
- Multiphase fluid mechanics

Department of Mathematical Sciences

**Dr Luca Zanetti**

Research interests:

- Unsupervised and semi-supervised learning on graphs
- Spectral graph theory
- Randomised algorithms and Markov chains

Luca’s research sits at the intersection of machine learning, discrete probability, and theoretical computer science. He is particularly interested in designing algorithms for network analysis that are simple, fast in practice, and that can be rigorously analysed. His tool of choice is spectral graph theory, which is the study of graphs through linear-algebraic means. He is also interested in random walks and other stochastic processes on graphs.

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