School of Mathematics

People A-Z



John Green

  • Postgraduate Student

Contact details

Research Interests

Harmonic analysis, Real Analysis

Research Groups

Biographical Statement

I am a PhD student interested in real and harmonic analysis working under the supervision of Jim Wright.

Publications and preprints:

1. "Lower bounds on L^p quasi-norms and the Uniform Sublevel Set Problem", Mathematika 67 (2021) 296–323. Published version (open access): https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/mtk.12076 Preprint: https://arxiv.org/abs/2008.01708

2. "Oscillating spectral multipliers on groups of Heisenberg type", preprint. https://arxiv.org/abs/2011.13987 Joint work with Roberto Bramati, Paolo Ciatti and James Wright.

3. "Algebraic Stability of Oscillatory Integral Estimates: A Calculus for Uniform Estimates", preprint. https://arxiv.org/abs/2104.12238

Education Background

MMath University of Warwick (2018)

Supervisor

Jim Wright