| 1. Stochastic analysis: foundations and new directions | 6. Randomness and universal behaviour in physical systems | 
| 2. Stochastic partial differential equations | 7. Stochastic modelling and data-driven modelling in finance | 
| 3. Random combinatorial structures: trees, graphs, networks, branching processes | 8. Mathematical modelling in biology and healthcare | 
| 4. Stochastic computational methods and optimal control | 9. Mathematical and algorithmic challenges in data science | 
| 5. Random dynamical systems and ergodic theory | 10. Mean-field models and agent-based modelling |