Analysis


The analysis group is a school-wide collection of mathematicians who share a common interest in the development and use of analytic techniques. We encompass real, complex, functional, harmonic, numerical and stochastic analysis; operator algebras and analytic K-theory; analysis on groups, graphs, manifolds and other structures; ordinary, partial and stochastic differential equations; chaos, fractals and dynamical systems; applications of analytic methods to concrete problems in e.g. number theory, topology, probability theory, fluids and physics.

Members


Academic staff
Name Office Phone Email VCard  
Prof David Applebaum I11 23703 vcard Analytic probability; probability and stochastic processes on abstract structures; stochastic analysis
Prof Vladimir Bavula J15 23786 vcard Non-commutative ring theory, D-modules, automorphisms
Dr Rekha Jain H24 23732 vcard Solar physics, Helioseismology, Astrophysical MHD
Dr Jonathan Jordan I9 23873 vcard Probability theory, fractals and random graphs
Dr Jayanta Manoharmayum J22 23871 vcard Algebraic number theory, the absolute Galois group of Q
Dr Paul Mitchener J20 23858 vcard $C^\ast$-categories, Analytic and algebraic $K$-theory, Assembly maps, Coarse Geometry
Prof Koji Ohkitani H7 23861 vcard Computational Fluid Dynamics
Prof Michael Ruderman H8 23717 vcard Hydrodynamics and magnetohydrodynamics. Waves and instablities. Applications to solar and space physics.
Prof Elizabeth Winstanley G5 23796 vcard Black holes, general relativity, quantum field theory in curved space-time

Teaching fellows
Name Office Phone Email VCard  
Dr Dimitrios Roxanas H13 23876 vcard Analysis, Inverse Problems, Statistical Signal Estimation

Postgraduate students
Name Office Phone Email VCard  
Matthew Ferrier J25 vcard C$^*$-algebras, C$^*$-categories, K-theory
Mr Axel Polaczek G16 vcard
Mr Joseph Scalisi H23 vcard

Applied Probability Trust
Name Office Phone Email VCard  
Mr Mark Yarrow K27 23924 vcard Preferential attachment, random graphs, algebraic graph theory