Edit Profile (opens in new tab) Hickman, Jonathan Co-Author Distance Author ID: hickman.jonathan Published as: Hickman, Jonathan Documents Indexed: 24 Publications since 2014, including 5 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 20 Joint Publications 354 Co-Co-Authors all top 5 Co-Authors 4 single-authored 6 Beltran, David 6 Wright, James Robert 4 Guo, Shaoming 4 Rogers, Keith McKenzie 3 Seeger, Andreas 2 Iliopoulou, Marina 2 Sogge, Christopher D. 1 Azzam, Jonas 1 Duncan, Jennifer 1 Govindan Sheri, Aswin 1 Guth, Lawrence David 1 Li, Sean 1 Lie, Victor Daniel 1 Linares, Felipe 1 Riaño, Oscar G. 1 Roos, Joris 1 Zahl, Joshua 1 Zhang, Ruixiang all top 5 Serials 2 Journal of Functional Analysis 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis & PDE 1 Cambridge Journal of Mathematics 1 Discrete Analysis 1 Mathematics Research Reports all top 5 Fields 16 Harmonic analysis on Euclidean spaces (42-XX) 4 Partial differential equations (35-XX) 4 Abstract harmonic analysis (43-XX) 3 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 147 times in 117 Documents Cited by ▼ Year ▼ Sharp estimates for oscillatory integral operators via polynomial partitioning. Zbl 1430.42016 Guth, Larry; Hickman, Jonathan; Iliopoulou, Marina 36 2019 Maximal operators and Hilbert transforms along variable non-flat homogeneous curves. Zbl 1388.42039 Guo, Shaoming; Hickman, Jonathan; Lie, Victor; Roos, Joris 21 2017 Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 21 2020 Improved Fourier restriction estimates in higher dimensions. Zbl 1423.42011 Hickman, Jonathan; Rogers, Keith M. 20 2019 On a higher dimensional version of the Benjamin-Ono equation. Zbl 1435.35300 Hickman, Jonathan; Linares, Felipe; Riaño, Oscar G.; Rogers, Keith M.; Wright, James 14 2019 The Fourier restriction and Kakeya problems over rings of integers modulo \(N\). Zbl 1404.43008 Hickman, Jonathan; Wright, James 8 2018 Sharp local smoothing estimates for Fourier integral operators. Zbl 1494.42013 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 7 2021 Improved bounds for the Kakeya maximal conjecture in higher dimensions. Zbl 07629501 Hickman, Jonathan; Rogers, Keith M.; Zhang, Ruixiang 5 2022 Uniform \(L^p\) resolvent estimates on the torus. Zbl 1496.35173 Hickman, Jonathan 3 2020 A non-Archimedean variant of Littlewood-Paley theory for curves. Zbl 1508.42020 Hickman, Jonathan; Wright, James 3 2023 The circular maximal operator on Heisenberg radial functions. Zbl 1496.42022 Beltran, David; Guo, Shaoming; Hickman, Jonathan; Seeger, Andreas 3 2022 Sobolev improving for averages over curves in \(\mathbb{R}^4\). Zbl 1478.42006 Beltran, David; Guo, Shaoming; Hickman, Jonathan; Seeger, Andreas 2 2021 An abstract \(L^2\) Fourier restriction theorem. Zbl 1420.43005 Hickman, Jonathan; Wright, James 2 2019 An affine Fourier restriction theorem for conical surfaces. Zbl 1374.42015 Hickman, Jonathan 1 2014 Sharp \(L^p\) estimates for oscillatory integral operators of arbitrary signature. Zbl 07507845 Hickman, Jonathan; Iliopoulou, Marina 1 2022 A non-Archimedean variant of Littlewood-Paley theory for curves. Zbl 1508.42020 Hickman, Jonathan; Wright, James 3 2023 Improved bounds for the Kakeya maximal conjecture in higher dimensions. Zbl 07629501 Hickman, Jonathan; Rogers, Keith M.; Zhang, Ruixiang 5 2022 The circular maximal operator on Heisenberg radial functions. Zbl 1496.42022 Beltran, David; Guo, Shaoming; Hickman, Jonathan; Seeger, Andreas 3 2022 Sharp \(L^p\) estimates for oscillatory integral operators of arbitrary signature. Zbl 07507845 Hickman, Jonathan; Iliopoulou, Marina 1 2022 Sharp local smoothing estimates for Fourier integral operators. Zbl 1494.42013 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 7 2021 Sobolev improving for averages over curves in \(\mathbb{R}^4\). Zbl 1478.42006 Beltran, David; Guo, Shaoming; Hickman, Jonathan; Seeger, Andreas 2 2021 Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds. Zbl 1436.35340 Beltran, David; Hickman, Jonathan; Sogge, Christopher D. 21 2020 Uniform \(L^p\) resolvent estimates on the torus. Zbl 1496.35173 Hickman, Jonathan 3 2020 Sharp estimates for oscillatory integral operators via polynomial partitioning. Zbl 1430.42016 Guth, Larry; Hickman, Jonathan; Iliopoulou, Marina 36 2019 Improved Fourier restriction estimates in higher dimensions. Zbl 1423.42011 Hickman, Jonathan; Rogers, Keith M. 20 2019 On a higher dimensional version of the Benjamin-Ono equation. Zbl 1435.35300 Hickman, Jonathan; Linares, Felipe; Riaño, Oscar G.; Rogers, Keith M.; Wright, James 14 2019 An abstract \(L^2\) Fourier restriction theorem. Zbl 1420.43005 Hickman, Jonathan; Wright, James 2 2019 The Fourier restriction and Kakeya problems over rings of integers modulo \(N\). Zbl 1404.43008 Hickman, Jonathan; Wright, James 8 2018 Maximal operators and Hilbert transforms along variable non-flat homogeneous curves. Zbl 1388.42039 Guo, Shaoming; Hickman, Jonathan; Lie, Victor; Roos, Joris 21 2017 An affine Fourier restriction theorem for conical surfaces. Zbl 1374.42015 Hickman, Jonathan 1 2014 all cited Publications top 5 cited Publications all top 5 Cited by 141 Authors 10 Lee, Sanghyuk 9 Hickman, Jonathan 7 Guo, Shaoming 7 Roos, Joris 7 Yu, Haixia 6 Beltran, David 6 Miao, Changxing 6 Seeger, Andreas 6 Yung, Polam 5 Gao, Chuanwei 5 Ramos, João Pedro Gonçalves 5 Riaño, Oscar G. 5 Schippa, Robert 4 Liu, Bochen 4 Rozendaal, Jan 4 Yan, Lixin 3 Buschenhenke, Stefan 3 Koh, Doowon 3 Liu, Naijia 3 Müller, Detlef 3 Sogge, Christopher D. 3 Wright, James Robert 3 Xi, Yakun 2 Barron, Alex 2 Cao, Zhenbin 2 Chen, Peng 2 Christ, Michael 2 Cunha, Alysson 2 di Plinio, Francesco 2 Duong, Xuan Thinh 2 Durcik, Polona 2 Frey, Dorothee 2 Germain, Pierre 2 Iosevich, Alex 2 Ko, Hyerim 2 Kwon, Yehyun 2 Lai, Xudong 2 Li, Junfeng 2 Lie, Victor Daniel 2 Mandel, Rainer 2 Mendez, Argenis J. 2 Oh, Changkeun 2 Oh, Sewook 2 Rydin Myerson, Simon L. 2 Saari, Olli 2 Shayya, Bassam 2 Song, Liang 2 Srivastava, Rajula 2 Stovall, Betsy 2 Thiele, Christoph Martin 2 Wang, Hong 1 Albarracin, Carolina 1 Arsovski, Bodan 1 Baena-Miret, Sergi 1 Bennett, Jonathan M. 1 Blair, Matthew D. 1 Bousquet, Pierre 1 Bruce, Benjamin Baker 1 Carro, María Jesús 1 Chen, Xianghong 1 Cook, Brian 1 Demeter, Ciprian 1 Dhar, Manik 1 Duncan, Jennifer 1 Dvir, Zeev 1 Erdoğan, Mehmet Burak 1 Freire, Ricardo. C. 1 Govindan Sheri, Aswin 1 Gressman, Philip T. 1 Guo, Zihua 1 Ham, Seheon 1 Harris, Terence L. J. 1 Hassell, Andrew 1 He, Danqing 1 He, Kaili 1 Hong, Guixiang 1 Horwich, Adam D. 1 Huang, Xiaoqi 1 Hughes, Kevin 1 Iliopoulou, Marina 1 Jeong, Eunhee 1 Kim, Joonil 1 Krause, Ben 1 Lee, Juyoung 1 Lee, Sujin 1 Li, Dan 1 Li, Jingyue 1 Li, Jinlu 1 Li, Zane Kun 1 Linares, Felipe 1 Martini, Alessio 1 Mudgal, Akshat 1 Nakamura, Shohei 1 Nowak, Adam 1 Oh, Jeongtae 1 Oliveira e Silva, Diogo 1 Orponen, Tuomas 1 Ou, Yumeng 1 Parissis, Ioannis R. 1 Pastor, Ademir ...and 41 more Authors all top 5 Cited in 51 Serials 15 Journal of Functional Analysis 9 Advances in Mathematics 8 Mathematische Annalen 7 Mathematische Zeitschrift 5 Journal of Differential Equations 4 Journal of Mathematical Analysis and Applications 4 Transactions of the American Mathematical Society 4 The Journal of Geometric Analysis 4 The Journal of Fourier Analysis and Applications 3 Oberwolfach Reports 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 American Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Mathematische Nachrichten 2 Mathematika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Revista Matemática Iberoamericana 2 Bulletin of the American Mathematical Society. New Series 2 Discrete and Continuous Dynamical Systems 2 Communications on Pure and Applied Analysis 1 Applicable Analysis 1 Studia Mathematica 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 Bulletin des Sciences Mathématiques 1 Taiwanese Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis & PDE 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Peking Mathematical Journal 1 Combinatorial Theory all top 5 Cited in 25 Fields 88 Harmonic analysis on Euclidean spaces (42-XX) 43 Partial differential equations (35-XX) 13 Number theory (11-XX) 10 Measure and integration (28-XX) 10 Integral transforms, operational calculus (44-XX) 9 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year