Jonathan Bennett
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Jonathan Bennett mathematics Degrees
Mathematics
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Algebra
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Group Theory
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Measure Theory
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Mathematics
Jonathan Bennett 's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics University of Oxford
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Why Is Jonathan Bennett Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jonathan Bennett is a mathematician and Professor of Mathematical Analysis at the University of Birmingham. He was a recipient of the Whitehead Prize of the London Mathematical Society in 2011 for "his foundational work on multilinear inequalities in harmonic and geometric analysis, and for a number of major results in the theory of oscillatory integrals."
Jonathan Bennett 's Published Works
Published Works
- On the multilinear restriction and Kakeya conjectures (2005) (286)
- The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals (2005) (249)
- Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities (2005) (110)
- A non-linear generalisation of the Loomis-Whitney inequality and applications (2005) (84)
- Heat-flow monotonicity of Strichartz norms (2008) (70)
- Stability of the Brascamp-Lieb constant and applications (2015) (67)
- On the dimension of divergence sets of dispersive equations (2011) (53)
- Aspects of Multilinear Harmonic Analysis Related to Transversality (2014) (41)
- Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis (2009) (37)
- Some special solutions of the Schr\"odinger equation (2006) (29)
- Closure Properties of Solutions to Heat Inequalities (2008) (27)
- A Stein Conjecture for the Circle (2006) (26)
- On the nonlinear Brascamp–Lieb inequality (2018) (24)
- Behaviour of the Brascamp–Lieb constant (2016) (22)
- On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type (2014) (19)
- Heat‐flow monotonicity related to the Hausdorff–Young inequality (2008) (19)
- On the size of divergence sets for the Schroedinger equation with radial data (2012) (18)
- Flow monotonicity and Strichartz inequalities (2014) (17)
- Hilbert transforms and maximal functions along variable flat curves (2002) (16)
- Strichartz inequalities with weights in Morrey-Campanato classes (2010) (16)
- Optimal control of singular Fourier multipliers by maximal operators (2013) (13)
- Global Nonlinear Brascamp–Lieb Inequalities (2013) (13)
- The Fourier extension operator on large spheres and related oscillatory integrals (2006) (12)
- A Note on Weighted Estimates for the Schrödinger Operator (2008) (12)
- Weighted norm inequalities for oscillatory integrals with finite type phases on the line (2011) (12)
- Subdyadic square functions and applications to weighted harmonic analysis (2015) (10)
- Mapping Properties of a Projection Related to the Helmholtz Equation (2003) (10)
- On the Strichartz Estimates for the Kinetic Transport Equation (2013) (10)
- Generating monotone quantities for the heat equation (2015) (9)
- A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR (2008) (9)
- Spherical Perturbations of Schrödinger Equations (2006) (9)
- A sharp k-plane Strichartz inequality for the Schrödinger equation (2016) (8)
- Transversal multilinear Radon-like transforms: local and global estimates. (2013) (8)
- Tomography bounds for the Fourier extension operator and applications (2020) (7)
- A trilinear restriction problem for the paraboloid in ℝ (2004) (5)
- The nonlinear Brascamp-Lieb inequality for simple data (2018) (5)
- A bilinear extension inequality in two dimensions (2003) (5)
- Oscillatory singular integrals with variable flat phases, and related operators (1999) (4)
- Estimates for the kinetic transport equation in hyperbolic Sobolev spaces (2016) (4)
- A supersolutions perspective on hypercontractivity (2019) (4)
- Randomised circular means of Fourier transforms of measures (2003) (4)
- A multilinear Fourier extension identity on $\mathbb{R}^n$ (2017) (3)
- Higher order transversality in harmonic analysis (2022) (3)
- Fourier duality in the Brascamp–Lieb inequality (2020) (1)
- Corrigendum for “a Stein conjecture for the circle” (2009) (1)
- Nonlinear geometric inequalities via induction-on-scales (2009) (1)
- A majorant problem for the periodic Schrodinger group (Harmonic Analysis and Nonlinear Partial Differential Equations) (2012) (1)
- A multiplier relation for Calderón-Zygmund operators on ¹({ℝ}ⁿ) (1999) (1)
- Enhancement of Second Harmonic Generation by Localized Surface Resonance Plasmons (2016) (0)
- Global Nonlinear Brascamp–Lieb Inequalities (2012) (0)
- M ay 2 01 7 GENERATING MONOTONE QUANTITIES FOR THE HEAT EQUATION (0)
- A majorant problem for the Schrodinger group (2012) (0)
- Group Halo Mass and Galactic Disk Evolution in the RESOLVE Survey (2016) (0)
- A Note on Weighted Estimates for the (2008) (0)
- Time domain calculations of scalar self-force and radiation from an orbiting point charge in Schwarzschild spacetime (2018) (0)
- A supersolutions perspective on hypercontractivity (2020) (0)
- University of Birmingham Closure properties of solutions to heat inequalities (2009) (0)
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