Dr Neal Bez MMath, PhD

 

Lecturer in Pure Mathematics

School of Mathematics

Dr Neal Bez

Contact details

Telephone +44 (0) 121 414 6592

Fax +44 (0) 121 414 3389

Email n.bez@bham.ac.uk

School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

About

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.

Qualifications

Lecturer in Pure Mathematics:

  • PhD in Harmonic Analysis, University of Edinburgh 2007
  • MMath in Mathematics, University of Oxford 2003

Biography

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.

Teaching

  • Single Honours Mathematics (G100, G103, G141)
  • Mathematics Majors: Mathematics with Business Management (G1N2); Mathematics with Engineering (J920); Mathematics with Philosphy (G1V5)
  • Joint Honours Mathematics: Mathematics & Computer Science (GG14); Pure Mathematics & Computer Science (GGC4); Mathematics & Sport Science (GC17); Mathematics & Music (GW13); Mathematics & Philosophy (GV15)
  • Theoretical Physics and Applied Mathematics (FG31)
  • Mathematics Minors: French Studies and Mathematics (GR11); German Studies and Mathematics (GR12)
  • Natural Sciences (CFG0, FCG0)

Postgraduate supervision

Neal is interested in supervising doctoral research students in euclidean harmonic analysis and related topics.

Research

RESEARCH THEMES

Harmonic Analysis

RESEARCH ACTIVITY

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).

Other activities

  • Member of the London Mathematical Society
  • Japan Society for the Promotion of Science Invitation Fellowship in Nagoya, Japan (March-May 2011)
  • Visiting Fellowship at the Isaac Newton Institute for Mathematical Sciences, Cambridge (June-July 2011)

Publications

Selected

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.

arxiv.org/find/math/1/au:+Bez_N/0/1/0/all/0/1

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