Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.
Consistent valuation of interbank claims within an interconnected financial system can be found with a recursive update of banks' equities.
A mathematical model captures the temporal and steady state behaviour of networks whose two sets of nodes either generate or destroy links.
The large-scale structure of the interbank network changes drastically in times of crisis due to the effect of measures from central banks.
Complex networks model the links between financial institutions and how these channels can transition from diversifying to propagating risk.
Statistical mechanics concepts reconstruct connections between financial institutions and the stock market, despite limited data disclosure.
Non-linear models of distress propagation in financial networks characterise key regimes where shocks are either amplified or suppressed.
Targeted immunisation policies limit distress propagation and prevent system-wide crises in financial networks according to sandpile models.
The speed of a financial crisis outbreak sets the maximum delay before intervention by central authorities is no longer effective.
New mathematical tools can help infer financial networks from partial data to understand the propagation of distress through the network.