Research is carried out in a wide variety of areas, including:
Algebra and Analysis
There are strong research groups in algebra, arithmetic and algebraic geometry, group theory and complex and functional analysis. A brief overview of certain specific research interests includes: modular and automorphic forms; Iwasawa theory; elliptic curves; cohomology; algebraic K-theory; algebraic cobordism; quadratic forms and forms of higher degree; quadratic and Hermitian lattices; nonassociative algebras; combinatorial and geometric group theory (including growth and finiteness of groups); meromorphic function theory (particularly value distribution theory); Banach algebras; C*-algebras and their classification; analytic K-theory (including tensor products).
Contact:
Professor Jim Langley
t: +44 (0)115 951 4964
e: james.langley@nottingham.ac.uk
w: http://www.nottingham.ac.uk/mathematics/research/groups/algebra-and-analysis.aspx
Industrial and Applied Mathematics
Research areas include bifurication theory, elasticity, exponential asymptotics, fluid mechanics, free surface problems, industrial mathematics, nonlinear and statistical optics, nonlinear waves and solutions, nuceation/coagulation-fragmentation processes, pattern formation as well as reaction-diffusion equations
Contact:
Professor Andrew Cliffe
t: +44 (0)115 846 8287
e: andrew.cliffe@nottingham.ac.uk
w: http://www.nottingham.ac.uk/mathematics/research/groups/industrial-and-applied-mathematics.aspx
Mathematical Medicine and Biology
This group uses mathematical methods to provide insights into biological and biomedical phenomena.
Research in this group includes: drug delivery; growth and treatment of tumours; bacterial infections; DNA modelling; tissue engineering; biomechanics; cell signalling; gene networks; mathematical neuroscience; stem cell biology; plant growth; physiological modelling; metabolism; regenerative medicine.
Contact:
Dr Markus Owen
t:+44(0) 115 846 7214
e: markus.owen@nottingham.ac.uk
w: http://www.nottingham.ac.uk/cmmb/index.aspx
Mathematical Physics
Research in this group falls into three categories:
Quantum Disordered Systems with research topics including, quantum chaos, quantum tunnelling, short-wavelength approximations in optics, random matrix theory, Anderson localisation, multifractality, random energy landscapes.
Quantum Gravity researching topics such as spin foam models of quantum gravity, quantum gravity in 2+1 spacetime dimensions, non-communicative geometry, quantum black holes, modified gravity, averaging methodsin contstrained quantisation.
Quantum Information encompassing the study of non-classical correlations in multipartite quantum systems, quantum cryptography, quantum computation and quantum statistics.
Contact:
Professor John Barrett
t: +44 (0) 951 4956
e: john.barrett@nottingham.ac.uk
w: http://www.nottingham.ac.uk/mathematics/research/groups/mathematical-physics.aspx
Number Theory
Number theory is one of the oldest parts of Mathematics studying the fundamental properties of numbers.
This group uses structures, methods and tools of arithmetical origin to research areas which include zeta and L functions, arithmetic geometry, analytic number theory, local number theory, Iwasawa theory, higher class field theories, higher adelic analysis and geometry, higher automorphic forms, geometric and categorical theories and correspondences, computational number theory.
Contact:
Professor Ivan Fesenko
t:+44 (0) 115 951 4952
e: ivan.fesenko@nottingham.ac.uk
w: http://www.nottingham.ac.uk/mathematics/research/groups/number-theory.aspx
Scientific Computation and Analysis
Scientific Computation and Analysis is concerned with the design and analysis of computational algorithms. Research areas include: high-order finite element/discontinuous Galerkin methods; A posteriori error analysis and adaptivity; computational electromagnetic; computational fluid mechanics; numerical simulation of bifurcation problems; computational cell biology.
Contact:
Professor Paul Houston
t:+44 (0) 115 846 7468
e: paul.houston@nottingham.ac.uk
w: http://www.nottingham.ac.uk/mathematics/research/groups/scientific-computation-and-analysis.aspx
Statistics and Probability
Research carried out in this group falls into four categories:
Applied and Theoretical Probability: mathematical finance; stochastic analysis and diffusions on manifolds; semi-Markov processes; probability inequalities; limit theorems under dependence; stochastic optimal control; Markov decision processes; ion channel models.
Epidemic Modelling: developing and analysing stochastic epidemic models; statistical inference for infectious disease data.
Shape and Image Analysis: high-level Bayesian image analysis; medical image analysis; spatio-temporal modelling; texture analysis; nonparametric inference in shape analysis.
Statistical Theory and Computation: asymptotic techniques; Bayesian inference; nonparametric methods including empirical likelihood and the bootstrap; saddlepoint approximations; spatial statistics; Markov chain Monte Carlo methods; Laplace transform-based inference; inference for ordinary and stochastic differential equations.
Contact:
Professor P D O'Neill
t: +44 (0)115 951 4939
e: philip.oneill@nottingham.ac.uk
w: http://www.nottingham.ac.uk/mathematics/research/groups/statistics-and-probability.aspx