Jonathan Bennett

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Jonathan Bennett’s interests lie in multivariable Euclidean harmonic analysis and its interactions with problems in geometric analysis and combinatorics. Recently he has been investigating the scope of heat-flow methods and induction-on-scales arguments in the analysis of geometric inequalities arising in the restriction theory for the Fourier transform.

Dr Bennett is interested in supervising doctoral research students in all aspects of Euclidean harmonic analysis.

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43 Article
2 Preprint
1 Conference contribution
1 Abstract
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- 1 Paper
- 1 Conference article

Adjoint Brascamp-Lieb inequalities
Bennett, J. & Tao, T., 28 Jun 2023, arXiv, p. 1-43, 43 p.
Research output: Working paper/Preprint › Preprint

Open Access
File
6 Downloads (Pure)
Tomographic Fourier Extension Identities for Submanifolds of Rⁿ
Bennett, J., Nakamura, S. & Shiraki, S., 23 Dec 2022, arXiv, p. 1-9, 9 p.
Research output: Working paper/Preprint › Preprint

File
1 Downloads (Pure)
Fourier duality in the Brascamp-Lieb inequality
Bennett, J. & Jeong, E., 27 Sept 2021, In: Mathematical Proceedings of the Cambridge Philosophical Society. p. 1-23 23 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
94 Downloads (Pure)
Higher order transversality in harmonic analysis
Bennett, J. & Bez, N., 31 Dec 2021, In: RIMS Kokyuroku Bessatsu. B88, p. 75-103 29 p.
Research output: Contribution to journal › Conference article › peer-review
Tomography bounds for the Fourier extension operator and applications
Bennett, J. & Nakamura, S., Jun 2021, In: Mathematische Annalen. 380, 1-2, p. 119–159 41 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File

121 Downloads (Pure)

1 Active
4 Finished

Tomographic Fourier Analysis
Bennett, J.
Engineering & Physical Science Research Council
1/04/23 → 31/03/26
Project: Research Councils
FP7_ERC_TMHA
Bennett, J.
European Commission - Management Costs, European Commission
1/10/12 → 30/09/18
Project: Research
New Approaches to Central Problems in Euclidean Harmonic Analysis and Geometric Combinatorics
Bennett, J.
Engineering & Physical Science Research Council
3/01/07 → 2/01/10
Project: Research Councils
Support of Joint Research Group : The Uk Harmonic Analysis and PDE's Research Network
Bennett, J.
LONDON MATHEMATICAL SOCIETY, University of Bristol, University of Edinburgh, University of Glasgow, University of Warwick
1/09/06 → 31/07/13
Project: Research
Restriction Theorems for the Fourier Transform, and Applications
Bennett, J.
Engineering & Physical Science Research Council
1/01/05 → 30/09/05
Project: Research Councils

London Mathematical Society Whitehead Prize
Bennett, Jonathan (Recipient), 2011
Prize: Prize (including medals and awards)

Jonathan Bennett

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Collaborations and top research areas from the last five years

Dive into details

Adjoint Brascamp-Lieb inequalities

Tomographic Fourier Extension Identities for Submanifolds of Rⁿ

Fourier duality in the Brascamp-Lieb inequality

Higher order transversality in harmonic analysis

Tomography bounds for the Fourier extension operator and applications

Tomographic Fourier Analysis

FP7_ERC_TMHA

New Approaches to Central Problems in Euclidean Harmonic Analysis and Geometric Combinatorics

Support of Joint Research Group : The Uk Harmonic Analysis and PDE's Research Network

Restriction Theorems for the Fourier Transform, and Applications

London Mathematical Society Whitehead Prize

Jonathan Bennett

Fingerprint

Collaborations and top research areas from the last five years

Research output

Projects

Prizes