Neal Bez is a member of the Mathematical Analysis Research Group in the School of Mathematics.
Neal has a number of publications in significant international journals. He has delivered talks about his research at international seminars, workshops and conferences worldwide including Japan, South Korea, Mexico, USA, Germany, Italy, Spain and UK.
Neal Bez qualified with a first class MMath (Hons) in Mathematics from Exeter College, Oxford in 2003. He went on to study for a PhD in Harmonic Analysis at the University of Edinburgh. Neal’s first postdoctoral position in 2007 was at the University of Birmingham which was followed by a lectureship position at the University of Glasgow. Neal re-joined the School of Mathematics at Birmingham as a lecturer in 2010.
Neal’s research interests lie in euclidean harmonic analysis and particularly connections to geometric analysis and partial differential equations. These include applications of heat-flow methods in harmonic/geometric analysis, optimal constants and optimising functions for Strichartz estimates, and understanding geometric inequalities (e.g. the Brascamp-Lieb inequality and nonlinear generalisations, Radon-type transform inequalities, multilinear singular convolution and applications to the restriction problem for the Fourier transform).
Bez, N. (2008), Mixed-norm estimates for a class of nonisotropic directional maximal operators and Hilbert transforms, Journal of Functional Analysis, 255: 3281-3302.
Bennett, J., Bez, N., Carbery, A. (2009), Heat-flow monotonicity related to the Hausdorff-Young inequality, Bulletin of the London Mathematical Society, 41: 971-979.
Bennett, J., Bez, N. (2009), Closure properties of solutions to heat inequalities, Journal of Geometric Analysis, 19: 584-600.
Bennett, J., Bez, N., Carbery, A., Hundertmark, D. (2009), Heat-flow monotonicity of Strichartz norms, Analysis and PDE, 2: 147-158.
Bennett, J., Bez, N. (2010), Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis, Journal of Functional Analysis, 259: 2520-2556.
Bez, N., Rogers, K. (2011), A sharp Strichartz estimate for the wave equation with data in the energy space, to appear in Journal of the European Mathematical Society.