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プロフィール
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 ,