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BEZ　NEAL　RICHARD ベズ ニール　リチャード

■所属部署名 理工学研究科 ■電話番号
■職名 教授 ■FAX番号
■住所 埼玉県さいたま市桜区下大久保255 ■メールアドレス nealbez＠mail.saitama-u.ac.jp
■ホームページURL

プロフィール

研究分野

Partial Differential Equations, Harmonic Analysis, Geometric Computation

所属学会

所属学会
London Mathematical Society

学歴

出身大学院・研究科等
2007 , University of Edinburgh , College of Science and Engineering , PhD Mathematics
出身学校・専攻等(大学院を除く)
2003 , University of Oxford , MMath Masters in Mathematics , First class honours

受賞学術賞

2020 , 令和2年度科学技術分野の文部科学大臣表彰 若手科学者賞
2014 , MSJ Takebe Katahiro Prize , Awarded for "Study of various inequalities appearing in harmonic analysis and PDE"
2012 , Visiting Professorship at Universitat de Barcelona
2011 , Visiting Fellowship at Isaac Newton Institute Cambridge
2010 , JSPS Invitation Fellowship
2018年JMSJ論文賞

研究活動業績

研究業績(著書・発表論文等)

論文
Hardy type inequalities with spherical derivatives
,SN Partial Differential Equations and Applications,1:Article 5 2020
Neal Bez, Shuji Machihara, Tohru Ozawa

Inhomogeneous Strichartz estimates in some critical cases
,Proceedings of the American Mathematical Society,148:639-652 2020
Neal Bez, Jayson Cunanan, Sanghyuk Lee

On the Strichartz estimates for orthonormal systems of initial data with regularity
,Advances in Mathematics,354:106736 (33pp) 2019
Neal Bez, Younghun Hong, Sanghyuk Lee, Shohei Nakamura, Yoshihiro Sawano

Remarks on the Mizohata-Takeuchi conjecture and related problems
,Advanced Studies in Pure Mathematics,81:1-12 2019
Neal Bez, Mitsuru Sugimoto

Smoothing estimates for velocity averages with radial data
,RIMS Kokyuroku Bessatsu,B74:33-46 2019
Neal Bez, Jayson Cunanan

Stability of the Brascamp-Lieb constant and applications
,American Journal of Mathematics,140:543-569 2018
Jonathan Bennett, Neal Bez, Taryn Flock, Sanghyuk Lee

Estimates for the kinetic transport equation in hyperbolic Sobolev spaces
,Journal de Mathematiques Pures et Appliquees,114:1-28 2018
Jonathan Bennett, Neal Bez, Susana Gutierrez, Sanghyuk Lee

On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type
,Journal of the Mathematical Society of Japan,69:1-18 2017
Jonathan Bennett, Neal Bez, Chris Jeavons, Nikolaos Pattakos

A conjecture regarding optimal Strichartz estimates for the wave equation
,Trends in Mathematics (Proceedings of the 10th ISAAC Congress):293-299 2017
Neal Bez, Chris Jeavons, Tohru Ozawa, Hiroki Saito

Behaviour of the Brascamp-Lieb constant
,Bulletin of the London Mathematical Society,49:512-518 2017
Jonathan Bennett, Neal Bez, Michael Cowling, Taryn Flock

Optimal constants and extremisers for some smoothing estimates
,Journal d'Analyse Mathematique,131:159-187 2017
Neal Bez, Mitsuru Sugimoto

Extremisers for trace estimates on the sphere
,Mathematical Research Letters,23:633-647 2016
Neal Bez, Shuji Machihara, Mitsuru Sugimoto

Some sharp bilinear space-time estimates for the wave equation
,Mathematika,62:719-737 2016
Neal Bez, Chris Jeavons, Tohru Ozawa

A survey on optimal smoothing estimates and trace theorems
,Advances in Mathematics (China),45:801-816 2016
Neal Bez, Mitsuru Sugimoto

Flow monotonicity and Strichartz inequalities
,International Mathematical Research Notices, 19( ): 9415-9437 2015
Jonathan Bennett, Neal Bez, Marina Iliopoulou

Optimal forward and reverse estimates of Morawetz and Kato-Yajima type with angular smoothing index
,Journal of Fourier Analysis and Applications,21:318-341 2015
Neal Bez, Mitsuru Sugimoto

Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator
,Current Trends in Analysis and Its Applications (Proceedings of the 9th ISAAC Congress):281-288 2015
Neal Bez, Chris Jeavons, Nikolaos Pattakos

Some recent progress on sharp Kato-type smoothing estimates
,AMS Contemporary Mathematics Series (Complex Analysis and Dynamical Systems VI proceedings),653:41-50 2015
Neal Bez, Mitsuru Sugimoto

Applications of the Funk-Hecke theorem to smoothing and trace estimates
,Advances in Mathematics,285:1767-1795 2015
Neal Bez, Hiroki Saito, Mitsuru Sugimoto

A sharp Sobolev-Strichartz estimate for the wave equation
,Electronic Research Announcements in Mathematical Sciences,22:46-54 2015
Neal Bez, Chris Jeavons

Optimal constant for a smoothing estimate of critical index
,Trends in Mathematics,Fourier Analysis:1-7 2014
Neal Bez and Mitsuru Sugimoto

On the Strichartz estimates for the kinetic transport equation
,Communications in Partial Differential Equations,39:1821-1826 2014
Jonathan Bennett, Neal Bez, Susana Gutierrez, Sanghyuk Lee

Global nonlinear Brascamp-Lieb inequalities
,Journal of Geometric Analysis,23:1806-1817 2013
Jonathan Bennett, Neal Bez and Susana Gutierrez

Transversal multilinear Radon-like transforms: local and global estimates
,Revista Matematica Iberoamericana ,29:756-788 2013
Jonathan Bennett, Neal Bez and Susana Gutierrez

New minimal bounds for the derivatives of rational Bezier paths and rational rectangular Bezier surfaces
,Applied Mathematics and Computation,225:475-479 2013
Helmut Bez and Neal Bez

On derivative bounds for the rational quadratic Bezier paths
,Computer Aided Geometric Design,30:254-261 2013
Helmut Bez and Neal Bez

A sharp Strichartz estimate for the wave equation with data in the energy space
,Journal of the European Mathematical Society,15:805-823 2013
Neal Bez and Keith Rogers

A majorant problem for the periodic Schrodinger group
,Symposium on Harmonic Analysis and Nonlinear PDE ,RIMS Kokyuroku Bessatsu(B33):1-10 2012
Jonathan Bennett and Neal Bez

Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
,Journal of Functional Analysis,259:2520-2556 2010
Jonathan Bennett and Neal Bez

Closure properties of solutions to heat inequalities
,Journal of Geometric Analysis,19:584-600 2009
Jonathan Bennett and Neal Bez

Heat-flow monotonicity related to the Hausdorff-Young inequality
,Bulletin of the London Mathematical Society,41:971-979 2009
Jonathan Bennett, Neal Bez and Anthony Carbery

Heat-flow monotonicity of Strichartz norms
,Analysis & PDE,2:147-158 2009
Jonathan Bennett, Neal Bez, Anthony Carbery and Dirk Hundertmark

Maximal operators along piecewise linear curves near $L^1$
,Indiana University Mathematics Journal,58:1639-1658 2009
Neal Bez

Maximal operators and Hilbert transforms along flat curves near $L^1$
,Journal of the Australian Mathematical Society,87:311-323 2009
Neal Bez

Heat-flow monotonicity underlying some sharp inequalities in geometric and harmonic analysis
,Symposium on Harmonic Analysis and Nonlinear PDE ,RIMS Kokyuroku Bessatsu(B14):1-16 2009
Neal Bez

Mixed-norm estimates for a class of nonisotropic directional maximal operators and Hilbert transforms
,Journal of Functional Analysis,255:3281-3302 2008
Neal Bez

$L^p$-boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves
,Proceedings of the American Mathematical Society,135:151-161 2007
Neal Bez

On the nonlinear Brascamp-Lieb inequality
,Duke Mathematical Journal
Jonathan Bennett, Neal Bez, Stefan Buschenhenke, Michael Cowling, Taryn Flock

A supersolutions perspective on hypercontractivity
,Annali di Matematica Pura ed Applicata
Yosuke Aoki, Jonathan Bennett, Neal Bez, Shuji Machihara, Kosuke Matsuura, Shobu Shiraki

学会発表
Stability of the Brascamp-Lieb inequality
Analysis seminar at University of Edinburgh 201703
Neal Bez

Smoothing estimates for the kinetic transport equation via the cone multiplier
Harmonic Analysis Workshop at Kanazawa University 201703
Neal Bez

Smoothing estimates for velocity averages via the cone multiplier
Harmonic Analysis and Applications at Seoul National University 201702
Neal Bez

On space-time estimates for the kinetic transport equation
Sandaigaku PDE Seminar at Nihon University 201701
Neal Bez

Stability of the Brascamp-Lieb constant and applications
International Conference for the 70th Anniversary of the Korean Mathematical Society at Seoul National University 201610
Neal Bez

Estimates for the kinetic transport equation in hyperbolic Sobolev spaces
Analysis seminar at Seoul National University 201610
Neal Bez

Stability of the Brascamp-Lieb constant and applications
4th East Asian Conference on Harmonic Analysis and Applications at Yonsei University 201608
Neal Bez

Strichartz estimates for the kinetic and Schrodinger equations
Analysis seminar at Seoul National University 201604
Neal Bez

Applications of the Funk-Hecke theorem to smoothing and trace estimates
Harmonic Analysis and its Applications in Matsumoto (Shinshu University) 201602
Neal Bez

Some sharp bilinear estimates for the wave equation
Workshop on Hyperbolic and Dispersive PDEs in Sendai (Tohoku University) 201512
Neal Bez

Recent developments in the heat-flow semigroup interpolation method (3 lectures)
Workshop on Fundamental Problems in Mathematical and Theoretical Physics at Waseda University 201510
Neal Bez

Sharp bilinear estimates for the wave equation
10th ISAAC Congress (Nonlinear Partial Differential Equations Session) at University of Macau 201508
Neal Bez

Consequences of the Funk-Hecke theorem for smoothing and trace estimates
10th ISAAC Congress (Harmonic Analysis and PDEs Session) at University of Macau 201508
Neal Bez

The Mizohata-Takeuchi conjecture, smoothing estimates and trace theorems
Analysis seminar at The Chinese University of Hong Kong 201507
Neal Bez

The Mizohata-Takeuchi conjecture, smoothing estimates and trace theorems
Applied Mathematical Seminar at Tohoku University 201506
Neal Bez

Some inequalities from geometric and harmonic analysis via induction-on-scales
Spring Mathematical Society of Japan Meeting at Meiji University 201503
Neal Bez

Some applications of the Funk-Hecke theorem to smoothing and null form estimates
Analysis seminar at Seoul National University 201503
Neal Bez

Some applications of the Funk-Hecke theorem
Analysis seminar at University of Birmingham 201503
Neal Bez

Optimal versions of the trace theorem on the sphere
Differential Geometry and PDE Seminar at Korea Institute for Advanced Study 201421
Neal Bez

On the multilinear restriction conjecture
Harmonic Analysis Workshop at Yamagata University 201412
Neal Bez

Multilinear Radon-like transforms
Differential Equations Workshop at Kyoto University 201412
Neal Bez

Multilinear restriction estimates and Radon-like transforms
Saitama Mathematical Analysis Seminar 201412
Neal Bez

Flow monotonicity and Strichartz inequalities
ICM Satellite Conference and 39th Sapporo Symposium on Partial Differential Equations at Hokkaido University 201408
Neal Bez

Some applications of the Funk-Hecke theorem
ICM Satellite Conference on Harmonic Analysis at Chosun University 201408
Neal Bez

Some applications of the Funk-Hecke theorem
2nd East Asian Conference in Harmonic Analysis and Applications at Mudanjiang University 201407
Neal Bez

On the multilinear restriction problem
Harmonic Analysis seminar at the University of Tokyo 201406
Neal Bez

Recent progress on the Brascamp-Lieb inequality and applications
Department of Mathematics Colloquium at Seoul National University 201405
Neal Bez

The sharp trace theorem for the sphere
Analysis seminar at Seoul National University 201405
Neal Bez

The sharp trace theorem for the sphere
Applied Analysis Seminar at Waseda University 201404
Neal Bez

A majorant problem for the periodic Schrodinger group
RIMS Kokyuroku Bessatsu,Symposium on Harmonic Analysis and Nonlinear PDE (RIMS, Kyoto, 2011),33:1-10 2012
Jonathan Bennett and Neal Bez

Heat-flow monotonicity underlying some sharp inequalities in geometric and harmonic analysis
RIMS Kokyuroku Bessatsu,Symposium on Harmonic Analysis and Nonlinear PDE (RIMS, Kyoto, 2008),B14:1-16 2009
Neal Bez

研究費

受託研究
2013-2014 , EPSRC Grant: Extremisers and near-extremisers for central inequalities in harmonic analysis, geometric analysis and PDE ,
2011-2012 , London Mathematical Society Computer Science Scheme 7 Grant ,