Beardon, Alan http://www.dpmms.cam.ac.uk/site2002/People/beardon_af.html
University of Cambridge. Geometric function theory and hyperbolic geometry in general, but especially in relation to complex continued fractions, discrete Mobius groups and Riemann surfaces; dynamical systems and potential theory.
Jameson, Graham http://www.maths.lancs.ac.uk/~jameson/
Lancaster University. Banach spaces and operator ideals; classical inequalities related to linear operators; (very) analytic number theory. Publications, resources.
Körner, Tom http://www.dpmms.cam.ac.uk/~twk/
University of Cambridge. The behaviour of Fourier transforms towards infinity; intricate counterexamples. Lecture notes, helpful advice.
Safarov, Yuri http://www.mth.kcl.ac.uk/~ysafarov/
King's College London. Online book covers eigenvalues in partial differential equations. Other publications cover basic, real and Fourier analysis. In pdf format.