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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 | ||
| ■ホームページURL | http://www.rimath.saitama-u.ac.jp/lab.jp/nealbez/Main.html |
プロフィール
兼担研究科・学部
- 理学部数学科
研究分野
- 調和解析
所属学会
- 所属学会
- London Mathematical Society
- 日本数学会
学歴
- 出身大学院・研究科等
- 2007 , エディンバラ大学 , 博士 , College of Science and Engineering , 数学 , 修了
- 出身学校・専攻等(大学院を除く)
- 2003 , University of Oxford , 数学 , Integrated Bachelors/Masters program (1st class honours)
- 取得学位
- 博士 (Mathematics) , エディンバラ大学
受賞学術賞
- 2022 , 2022年度日本数学会賞春季賞
- 2020 , 令和2年度 埼玉大学 学長表彰 (学長賞)
- 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
- 2018 , 2018年JMSJ論文賞
- 2017 , 平成29年度 埼玉大学 学長表彰 (学長奨励賞)
- 2014 , 2014年度日本数学会賞建部賢弘特別賞
研究活動業績
研究業績(著書・発表論文等)
- 論文
-
Revisiting the Rellich inequality
Mathematische Zeitschrift,303:Article 49 2023
Neal Bez, Shuji Machihara, Tohru Ozawa -
Fourier制限予想と掛谷予想ー最近の発展ー
数学,74(4):337-355 2022
Neal Bez -
Higher order transversality in harmonic analysis
RIMS Kôkyûroku Bessatsu,B88:75-103 2021
Jonathan Bennett, Neal Bez -
Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates
Forum of Mathematics, Sigma,9:Paper e1 (52 pages) 2021
Neal Bez, Sanghyuk Lee, Shohei Nakamura -
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 -
Maximal estimates for the Schrodinger equation with orthonormal initial data
Selecta Mathematica,26:Article 52 2020
Neal Bez, Sanghyuk Lee, Shohei Nakamura -
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 -
Generating monotone quantities for the heat equation
Journal fur die reine und angewandte Mathematik,756:37-63 2019
Jonathan Bennett, Neal Bez -
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 -
Stability of trace theorems on the sphere
Journal of Geometric Analysis,28:1456-1476 2018
Neal Bez, Chris Jeavons, Tohru Ozawa, Mitsuru Sugimoto -
A sharp k-plane Strichartz inequality for the Schrodinger equation
Transactions of the American Mathematical Society,370:5617-5633 2018
Jonathan Bennett, Neal Bez, Taryn Flock, Susana Gutierrez, Marina Iliopoulou -
Smoothing estimates for the kinetic transport equation at the critical regularity
SIAM Journal on Mathematical Analysis,50:2280-2294 2018
Neal Bez, Jayson Cunanan, 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 -
Sharpness of the Brascamp-Lieb inequality in Lorentz spaces
Electronic Research Announcements in Mathematical Sciences,24:53-63 2017
Neal Bez, Sanghyuk Lee, Shohei Nakamura, Yoshihiro Sawano -
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 -
A note on magnitude bounds for the mask coefficients of the interpolatory Dubuc-Deslauriers subdivision scheme
LMS Journal of Computation and Mathematics,17:226-232 2014
Helmut Bez, Neal Bez -
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 -
Optimal constant for a smoothing estimate of critical index
Trends in Mathematics,Fourier Analysis:1-7 2014
Neal Bez and Mitsuru Sugimoto -
A note on magnitude bounds for the mask coefficients of the interpolatory Dubuc-Deslauriers subdivision scheme
LMS Journal of Computation and Mathematics,17:226-232 2014
Helmut Bez, Neal Bez -
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 -
Transversal multilinear Radon-like transforms: local and global estimates
Revista Matematica Iberoamericana,29:756-788 2013
Jonathan Bennett, Neal Bez, Susana Gutierrez -
Global nonlinear Brascamp-Lieb inequalities
Journal of Geometric Analysis,23:1806-1817 2013
Jonathan Bennett, Neal Bez, Susana Gutierrez -
New minimal bounds for the derivatives of rational Bezier paths and rational rectangular Bezier surfaces
Applied and Computational Mathematics,225:475-479 2013
Helmut Bez, 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, 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 log-Sobolev and hypercontractivity inequalities
Variational Methods and Functional Inequalities (Osaka Metropolitan University) 202302
Neal Bez -
Boundary Strichartz estimates for orthonormal systems
The 40th Kyushu Symposium on Partial Differential Equations 202301
Neal Bez -
On the nonlinear Brascamp-Lieb inequality
11th International Conference on Harmonic Analysis and Partial Differential Equations (El Escorial) 202206
Neal Bez -
Brascamp-Liebの不等式の安定性
日本数学会2022年度年会 202203
Neal Bez -
The nonlinear Brascamp–Lieb inequality
MSJ-KMS Joint Meeting 202109
Neal Bez -
Pointwise convergence for the Schrodinger equation with orthonormal initial data
13th ISAAC Congress (Harmonic Analysis and PDEs session) 202108
Neal Bez -
The nonlinear Brascamp–Lieb inequality
13th ISAAC Congress (Function spaces and their applications to nonlinear evolution equations session) 202108
Neal Bez -
Dispersive esti- mates for the wave equation
Harmonic Analysis and Wave Phenomena 202108
Neal Bez -
The nonlinear Brascamp–Lieb inequality
The 8th East Asian Conference in Harmonic Analysis and Applications 202108
Neal Bez -
Pointwise convergence for the Schrodinger equation with orthonormal initial data
8th European Congress of Mathematics minisymposium “Harmonic Analysis and Partial Differential Equations” 202106
Neal Bez -
Strichartz estimates for orthonormal systems of initial data
16th Linear and Nonlinear Waves 201810
Neal Bez -
Geometric estimates arising in the analysis of Zakharov systems
2018年日本数学会秋季総合分科会 201809
Neal Bez -
Mixed-norm estimates for multipliers associated with some hypersurfaces
Harmonic Analysis and PDE Workshop 201809
Neal Bez -
Strichartz estimates for orthonormal systems of initial data
Fundamental Problems in Mathematical and Theoretical Physics 201807
Neal Bez -
On the kinetic transport equation
調和解析と非線形偏微分方程式 201807
Neal Bez -
Harmonic analysis techniques and orthonormal Strichartz estimates
Strobl18 Harmonic Analysis and Applications 201806
Neal Bez -
Smoothing estimates for the kinetic transport equation at the critical regularity
保存則をもつ偏微分方程式の解の正則性、特異性および漸近挙動の研究 201805
Neal Bez -
Multilinear inequalities in harmonic and geometric analysis
Topics in Harmonic Analysis: Intensive Lecture Series 201711
Neal Bez -
Strichartz estimates for orthonormal systems of initial data
Nonlinear Partial Differential Equations for Future Applications: Hyperbolic and Dispersive PDE 201708
Neal Bez -
On the kinetic transport equation
Harmonic Analysis and its Interactions: In Honour of Tony Carbery 201707
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 -
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 -
Stability of the Brascamp-Lieb constant and applications
4th East Asian Conference on Harmonic Analysis and Applications at Yonsei University 201608
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 -
Some inequalities from geometric and harmonic analysis via induction-on-scales
Spring Mathematical Society of Japan Meeting at Meiji University 201503
Neal Bez -
On the multilinear restriction conjecture
Harmonic Analysis Workshop at Yamagata University 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 -
Recent progress on the Brascamp-Lieb inequality and applications
Department of Mathematics Colloquium at Seoul National University 201405
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
研究費
- 科学研究費補助金(研究代表者)
- 2019-2023 , New perspectives on space-time estimates for dispersive equations , 基盤研究(B)
- 2016-2019 , Conjectures associated with Brascamp-Lieb type inequalities , 若手研究(A)
- 2014-2016 , New Frontiers in Kinetic Equation Theory Research Project , 研究活動スタート支援
研究諸活動
- 学術専門雑誌等編集
- 2022-2028 , Journal of the Mathematical Society of Japan