Federico Cornalba

Department of Mathematical Sciences

• Modelling of large-scale interacting particle systems
• Analysis and numerics of stochastic PDEs of Fluctuating Hydrodynamics
• Reinforcement Learning methods

Avi Mayorcas

Department of Mathematical Sciences

• Regularisation by noise in stochastic partial and ordinary differential equations
• Stochastic quantisation of physical field theories
• Game theory and mean field dynamics in macroeconomics and finance

Christoforos Panagiotis

Department of Mathematical Sciences

• Percolation and lattice spin models
• Probability on groups
• Self-avoiding walk

Matthew Schrecker

Department of Mathematical Sciences

• Analysis of Partial Differential Equations
• Fluid dynamics (especially free boundary problems and nonlinear singularity formation)
• Shock waves (their formation, structure and dynamics)

Haiyan Zheng

Department of Mathematical Sciences

• Adaptive designs in clinical trials
• Bayesian data augmentation
• Finite mixture distributions

Jennifer Tweedy

Department of Mathematical Sciences

• Mathematical medicine
• Fluid mechanics
• Mathematical modelling

Thomas Burnett

Department of Mathematical Sciences

Tom’s research interest is in medical statistics, with a particular focus on the design and analysis of adaptive clinical trials.

Vangelis Evangelou

Department of Mathematical Sciences

• Generalised Linear Models: Modelling, Approximate Methods, Value of Information
• Spatial and Spatial-Temporal Geostatistics: Modelling, Sampling Design
• Time Series: Modelling, Sequential Analysis

Yury Korolev

Department of Mathematical Sciences

• Inverse problems and imaging
• Machine learning in infinite dimensions
• Non-smooth variational problems

James Foster

Department of Mathematical Sciences

• Numerical methods for stochastic differential equations (SDEs)
• Langevin Monte Carlo and applications of SDEs to machine learning
• Neural differential equations and kernel methods for time series data