The School of Mathematics consists of research groups in Pure Mathematics, Applied Mathematics, Optimization and Statistics. There are around 50 academic staff, 10 research fellows, 60 postgraduate students and 600 undergraduate students. This makes our School one of the largest Schools of Mathematics in the UK. Our research involves international and multidisciplinary collaboration and is supported through a wide range of funding bodies as well as the Birmingham Mathematical Institute.
Optimization and Combinatorics are two research areas in the School which lie at the interface between Mathematics and Computer Science.
The main focus of the Optimization group is on mathematical theory and methods applicable to managerial decision-making, particularly non-linear and discrete. In collaboration with Computer Science, rigorous and heuristic approaches to multidisciplinary optimization are investigated, with applications in many disciplines. Research covers areas of theoretical, computational and applied optimization, including large-scale nonlinear and semidefinite optimization, discrete optimization and max-algebras, semi-infinite and multi-criteria optimization, equilibrium systems.
The Combinatorics group in Birmingham works mostly in graph theory, extremal combinatorics, as well random discrete structures and algorithms. Recent research in extremal combinatorics has focussed on using probabilistic methods to solve several long-standing problems on Hamilton cycles as well as generalized matching problems. An additional focus is on random structures. Here the research is on the average case analysis of algorithms, the evolution of random discrete structures as well as on random models for complex networks.
Other main research activities of the School can be summarized as follows:
There are subgroups working in algebra, analysis, and combinatorics. The main focus of the algebraists in Birmingham is group theory, including profinite groups, groups acting on trees, construction and generation of sporadic simple groups, and representations of groups. The analysis group at Birmingham has particular strength in harmonic analysis and its interactions with geometric analysis, geometric measure theory, combinatorics, and linear and nonlinear partial differential equations. There is significant further activity in real and functional analysis, discrete dynamical systems and general topology.
The main interests of the group are fluid mechanics, mathematical chemistry & reaction-diffusion systems and mathematical biology. In fluid mechanics, we study free surface flows, bubble dynamics, biological fluid mechanics, moving contact lines and hydrodynamic stability. In the related areas of mathematical chemistry and reaction diffusion systems there is research into cement hydration, micelle formation, solid oxide fuel cells, chemical waves and clock reactions.
The main interests of the Statisticians in Birmingham are multivariate nonparametric statistics, nonparametric smoothing and wavelet based methods, time series analysis, mutual information, statistical computing, applications in bioinformatics and neuroscience.
For more details on School of Mathematics please see the School’s homepage.