The following people are in this group:
Dr Isaac Chenchiah Senior Lecturer Tel. (0117) 928 7984 isaac.chenchiah@bristol.ac.uk
Dr Edward Crane Heilbronn Senior Research Fellow Tel. (0117) 954 5661 edward.crane@bristol.ac.uk
Dr Thomas Jordan Senior Lecturer in Pure Mathematics Tel. (0117) 3315246 thomas.jordan@bristol.ac.uk
Dr John Mackay Lecturer in Pure Mathematics Tel. (0117) 954 5648 john.mackay@bristol.ac.uk
Dr Ivor McGillivray Senior Teaching Associate Tel. (0117) 33 14797 maiemg@bristol.ac.uk
Dr Yuri Netrusov Senior Lecturer in Pure Mathematics Tel. (0117) 331 1665 y.netrusov@bristol.ac.uk
Professor Jonathan Robbins Head of School,Professor of Mathematics Tel. (0117) 928 7981 j.robbins@bristol.ac.uk
Dr Roman Schubert Lecturer in Mathematics Tel. (0117)3315248 roman.schubert@bristol.ac.uk
Professor Balint Toth Chair in Probability Tel. (0117) 3317218 balint.toth@bristol.ac.uk
Professor Michiel van den Berg Emeritus Professor Tel. (0117) 331 1666 m.vandenberg@bristol.ac.uk
The analysis group researches the qualitative and quantitative theory of parabolic and elliptic partial differential equations (PDEs), spectral theory, stochastic analysis and the theory of function spaces.
Physically, parabolic PDEs describe the diffusion of heat in different materials at varying temperature points over time. Elliptic PDEs occur in the study of stationary solutions of heat flow problems and, in the case of the Schrodinger equation, bound and scattering states in quantum mechanics.
The theory of elliptic and parabolic PDEs is multidisciplinary, linking aspects of stochastic analysis, functional analysis and potential theory with geometry and topology.
The mathematicians Gordon, Webb, Wolpert proved that you cannot deduct the shape of a drum from the frequency of sound it emits. However, there are geometrics you can construct from the frequency, for example, the volume or the perimeter.