Mathematical thinking
Questions, models, geometry and mathematical judgement.
4 articlesTopics
One question opens another world.
Eight starting points connect writing, research programmes and projects. Start with something you want to understand.
Computation & code
Numerical methods, simulation and reproducible computation.
14 articles
Data & AI
Learning from data while testing what can be inferred.
13 articles
Risk & decisions
Uncertainty, reliability and decisions with limits.
33 articles
Life & environment
Living systems, ecosystems, climate and observation.
14 articles
Cities & engineering
Transport, energy, infrastructure and engineered systems.
11 articles
Dynamics & networks
Change, patterns, feedback and connected systems.
16 articles
Teaching & research practice
Learning, mentoring, evidence and research design.
6 articlesFollow a question
Choose a reading path.
Read three core articles in order, then choose an optional advanced article.
Reading path
When can we trust a model?
From a convincing fit to a useful guarantee: ask what the observations, evaluation and bounds actually establish.
First: When the Fit Is Not the Model
Reading path
City models: from forecasts to decisions
Start with a classroom timetable, then examine missing traffic states, numerical event errors and the limits of model reduction.
First: When the Timetable Lies to the Ventilation System
Research programmes
Questions that connect projects.
Explore longer-term questions through models, methods, evidence and open limitations.
Environmental Modeling
Environmental Modeling
Spatial disease, ecosystems, coastal risk, climate forcing, and energy-environment interactions.
Mathematical Modeling Education
Mathematical Modeling Education
Pathways from an open-ended question to assumptions, computation, critique, and communication.
Reliability and Uncertainty
Reliability and Uncertainty
Sensitivity, calibration, robustness, and decision-making when model inputs or operating conditions are uncertain.
Urban and Mobility Systems
Urban and Mobility Systems
Models of routing, accessibility, traffic stability, fleet operations, and infrastructure trade-offs.