Theory and Algorithms

The exponential growth in computing power and its impact on society is well-known (“Moore’s law”). Less recognised, but still essential is the progress in theory and algorithms in the same time span. In fact, advances in computing power have been matched or even exceeded by comparable advancements in theory and algorithms. Take for example linear programming algorithms, the technology behind most of the decision-making software, from investment decisions in pensions funds, to designing airline schedules and the algorithm behind our day-to-day power grid operations.

Theoretical advances in linear programming account for speedups that are three times more those due to new hardware and programming languages. The advances in the solution of sparse systems of linear equations, which arise for example in computer animations, are just as impressive. Advances in processing power are becoming harder to come by and improvements due to theory and algorithms will become even more significant.

The research within the Theory and Algorithms theme reflects the broad applicability and impact of theory and algorithms to society. Our members are addressing fundamental and applied problems across four different groups and three centres. We are interested in algorithm design and analysis, computation on continuous data types, concurrency, optimisation algorithms, information theory, blockchain and cryptocurrencies, quantum computing, stochastic modelling and computational psychiatry. We apply our research interests to real-life systems via long-term collaborations, e.g. with biomedical, chemical, civil engineers and psychotherapists.

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