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Dr Tim Hughes

Lecturer in Mathematics

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I am part of the Centre for Environmental Mathematics with research interests in the development of systems and control theory and its interdisciplinary applications.

My research concerns the fundamental principles that underlie the analysis, synthesis and control of interconnected systems, and the application of these principles to better understand and design such systems.

A particular focus is the analysis and design of passive mechanical and electrical networks (i.e., networks without an in-built energy source). My research in this area has:

  1. addressed fundamental questions and developed universally applicable design techniques for networks that contain the least possible numbers of components;
  2. established fundamental properties concerning passive systems, and optimal energy extraction from such systems;
  3. developed computationally efficient methods and novel techniques in real algebraic geometry for optimisation and control in this setting and more broadly (in collaboration with my PhD student Gareth Willetts).

The extraction of energy from a passive system with a renewable energy source is a feature of many renewable energy technologies, and an anticipated future application of this work.

A growing focus of my research is the development and application of fundamental systems and control principles to policymaking for sustainability, enabling the formal design of policies to maximise sustainable development values, navigate planetary constraints, and support transition towards a fairer and more environmentally sustainable society. This will build on the work of my PhD student Edward Branford on discrete time optimal control and its application to sustainable economic systems.

I am strongly engaged in the innovative MSc Applied Data Science programmes and cross-disciplinary teaching at the interdisciplinary Penryn campus. I teach modules that span specialisms in Environment and Sustainability, Renewable Energy, Ecology and Evolution, and Modelling. I have developed and I currently lead modules on Applied Artificial Intelligence and Control; Mathematics for Environment and Sustainability; and Fundamentals of Data Science.

I have a growing interest in Education for Sustainable Development (ESD): “empowerment through knowledge, skills and values to protect the planet [UNESCO]”. I am currently the University of Exeter lead for the Responsible Futures scheme, and a cross-institution Quality Assurance Agency Collaborative Enhancement project on ESD.

I am also an active member of the Mathematics WIDER committee (Workplace excellence, Inclusion, Diversity, Equality and Respect), and committed to helping create diverse, inclusive, cohesive and equitable working environments and societies.

Prospective PhD students

I am eager to hear from prospective PhD students. Please contact me for further details of potential projects.

Publications

Details of published work can be found under the Publications tab.

I have also deposited several preprints and postprints on ArXiV: https://arxiv.org/a/hughes_t_3