Analysis, geometry and dynamical systems
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Our research describes properties of geometric structures and develops the theory and applications of dynamical systems.
Areas of expertise
We work with international colleagues to understand problems in geometry, ergodic theory and dynamical systems.
These ideas are applied in other areas such as number theory, quantum field theory, classical mechanics and the biological sciences.
Our research interests include the study of fractals and fractal dimensions, symplectic structures, supermanifolds, symmetry and differential equations.
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Analysis and geometry
Analysis and geometry are core areas of mathematics which are also key to understanding many areas of theoretical physics.
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Dynamical systems
Dynamical systems describes time dependent behaviour, including chaos, in difference and differential equations and has applications across the sciences.
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Ergodic theory and dimension
Ergodic theory gives a probabilistic view of dynamics via measures. Different definitions of dimensions are used to characterize complicated (fractal) structures.
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Research seminars
Research seminars on topics associated with analysis, geometry and dynamical systems take place regularly in the following series:
PhD research opportunities
We welcome applications for PhD study in all areas of analysis, geometry and dynamical systems. PhD enquiries related to this theme can be directed to Sean Holman (applied mathematics and numerical analysis) and Dr Marcus Tressl (pure mathematics projects).
Before applying: visit the 'areas of expertise' pages listed above to find out more about potential PhD supervisors.
To discover PhD opportunities in the Department of Mathematics, explore our Postgraduate research in mathematics.
