Edit Profile (opens in new tab) Bernstein, Jacob Co-Author Distance Author ID: bernstein.jacob Published as: Bernstein, Jacob Homepage: http://www.math.jhu.edu/~bernstein/ External Links: MGP Documents Indexed: 35 Publications since 2008, including 7 Additional arXiv Preprints Co-Authors: 7 Co-Authors with 28 Joint Publications 92 Co-Co-Authors all top 5 Co-Authors 7 single-authored 12 Wang, Lu 7 Breiner, Christine 3 Bhattacharya, Arunima 3 Mettler, Thomas 1 Maggi, Francesco 1 Tinaglia, Giuseppe 1 Wang, Shengwen all top 5 Serials 4 IMRN. International Mathematics Research Notices 3 Duke Mathematical Journal 2 Calculus of Variations and Partial Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 Geometry & Topology 1 Cambridge Journal of Mathematics 1 Peking Mathematical Journal all top 5 Fields 34 Differential geometry (53-XX) 6 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Manifolds and cell complexes (57-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 186 times in 95 Documents Cited by ▼ Year ▼ A sharp lower bound for the entropy of closed hypersurfaces up to dimension six. Zbl 1360.53017 Bernstein, Jacob; Wang, Lu 25 2016 A topological property of asymptotically conical self-shrinkers of small entropy. Zbl 1380.53069 Bernstein, Jacob; Wang, Lu 21 2017 The space of asymptotically conical self-expanders of mean curvature flow. Zbl 1470.53077 Bernstein, Jacob; Wang, Lu 19 2021 Smooth compactness for spaces of asymptotically conical self-expanders of mean curvature flow. Zbl 1490.53107 Bernstein, Jacob; Wang, Lu 13 2021 Topology of closed hypersurfaces of small entropy. Zbl 1381.53112 Bernstein, Jacob; Wang, Lu 12 2018 Two-dimensional gradient Ricci solitons revisited. Zbl 1314.53117 Bernstein, Jacob; Mettler, Thomas 12 2015 Conformal structure of minimal surfaces with finite topology. Zbl 1213.53011 Bernstein, Jacob; Breiner, Christine 10 2011 A variational characterization of the catenoid. Zbl 1286.53010 Bernstein, Jacob; Breiner, Christine 8 2014 Helicoid-like minimal disks and uniqueness. Zbl 1225.53008 Bernstein, Jacob; Breiner, Christine 8 2011 Asymptotic structure of almost eigenfunctions of drift Laplacians on conical ends. Zbl 1458.53093 Bernstein, Jacob 8 2020 Relative expander entropy in the presence of a two-sided obstacle and applications. Zbl 1489.53121 Bernstein, Jacob; Wang, Lu 7 2022 Hausdorff stability of the round two-sphere under small perturbations of the entropy. Zbl 1400.37032 Bernstein, Jacob; Wang, Lu 5 2018 Symmetry and rigidity of minimal surfaces with Plateau-like singularities. Zbl 1473.49045 Bernstein, Jacob; Maggi, Francesco 5 2021 A remark on a uniqueness property of high multiplicity tangent flows in dimension 3. Zbl 1335.53080 Bernstein, Jacob; Wang, Lu 4 2015 A mountain-pass theorem for asymptotically conical self-expanders. Zbl 07597115 Bernstein, Jacob; Wang, Lu 4 2022 Topological uniqueness for self-expanders of small entropy. Zbl 1508.53094 Bernstein, Jacob; Wang, Lu 4 2022 An integer degree for asymptotically conical self-expanders. Zbl 07716573 Bernstein, Jacob; Wang, Lu 3 2023 Colding Minicozzi entropy in hyperbolic space. Zbl 1478.53103 Bernstein, Jacob 3 2021 Closed hypersurfaces of low entropy in \({\mathbb{R}^4}\) are isotopically trivial. Zbl 1500.53093 Bernstein, Jacob; Wang, Lu 3 2022 Characterizing classical minimal surfaces via the entropy differential. Zbl 1379.53012 Bernstein, Jacob; Mettler, Thomas 2 2017 Topological type of limit laminations of embedded minimal disks. Zbl 1348.53065 Bernstein, Jacob; Tinaglia, Giuseppe 2 2016 One-dimensional projective structures, convex curves and the ovals of Benguria and Loss. Zbl 1319.47015 Bernstein, Jacob; Mettler, Thomas 2 2015 Symmetry of embedded genus 1 helicoids. Zbl 1228.53008 Bernstein, Jacob; Breiner, Christine 2 2011 A sharp isoperimetric property of the renormalized area of a minimal surface in hyperbolic space. Zbl 1503.53015 Bernstein, Jacob 2 2022 Distortions of the helicoid. Zbl 1282.49030 Bernstein, Jacob; Breiner, Christine 1 2008 The level set flow of a hypersurface in \(\mathbb{R}^4\) of low entropy does not disconnect. Zbl 1496.53096 Bernstein, Jacob; Wang, Shengwen 1 2021 An integer degree for asymptotically conical self-expanders. Zbl 07716573 Bernstein, Jacob; Wang, Lu 3 2023 Relative expander entropy in the presence of a two-sided obstacle and applications. Zbl 1489.53121 Bernstein, Jacob; Wang, Lu 7 2022 A mountain-pass theorem for asymptotically conical self-expanders. Zbl 07597115 Bernstein, Jacob; Wang, Lu 4 2022 Topological uniqueness for self-expanders of small entropy. Zbl 1508.53094 Bernstein, Jacob; Wang, Lu 4 2022 Closed hypersurfaces of low entropy in \({\mathbb{R}^4}\) are isotopically trivial. Zbl 1500.53093 Bernstein, Jacob; Wang, Lu 3 2022 A sharp isoperimetric property of the renormalized area of a minimal surface in hyperbolic space. Zbl 1503.53015 Bernstein, Jacob 2 2022 The space of asymptotically conical self-expanders of mean curvature flow. Zbl 1470.53077 Bernstein, Jacob; Wang, Lu 19 2021 Smooth compactness for spaces of asymptotically conical self-expanders of mean curvature flow. Zbl 1490.53107 Bernstein, Jacob; Wang, Lu 13 2021 Symmetry and rigidity of minimal surfaces with Plateau-like singularities. Zbl 1473.49045 Bernstein, Jacob; Maggi, Francesco 5 2021 Colding Minicozzi entropy in hyperbolic space. Zbl 1478.53103 Bernstein, Jacob 3 2021 The level set flow of a hypersurface in \(\mathbb{R}^4\) of low entropy does not disconnect. Zbl 1496.53096 Bernstein, Jacob; Wang, Shengwen 1 2021 Asymptotic structure of almost eigenfunctions of drift Laplacians on conical ends. Zbl 1458.53093 Bernstein, Jacob 8 2020 Topology of closed hypersurfaces of small entropy. Zbl 1381.53112 Bernstein, Jacob; Wang, Lu 12 2018 Hausdorff stability of the round two-sphere under small perturbations of the entropy. Zbl 1400.37032 Bernstein, Jacob; Wang, Lu 5 2018 A topological property of asymptotically conical self-shrinkers of small entropy. Zbl 1380.53069 Bernstein, Jacob; Wang, Lu 21 2017 Characterizing classical minimal surfaces via the entropy differential. Zbl 1379.53012 Bernstein, Jacob; Mettler, Thomas 2 2017 A sharp lower bound for the entropy of closed hypersurfaces up to dimension six. Zbl 1360.53017 Bernstein, Jacob; Wang, Lu 25 2016 Topological type of limit laminations of embedded minimal disks. Zbl 1348.53065 Bernstein, Jacob; Tinaglia, Giuseppe 2 2016 Two-dimensional gradient Ricci solitons revisited. Zbl 1314.53117 Bernstein, Jacob; Mettler, Thomas 12 2015 A remark on a uniqueness property of high multiplicity tangent flows in dimension 3. Zbl 1335.53080 Bernstein, Jacob; Wang, Lu 4 2015 One-dimensional projective structures, convex curves and the ovals of Benguria and Loss. Zbl 1319.47015 Bernstein, Jacob; Mettler, Thomas 2 2015 A variational characterization of the catenoid. Zbl 1286.53010 Bernstein, Jacob; Breiner, Christine 8 2014 Conformal structure of minimal surfaces with finite topology. Zbl 1213.53011 Bernstein, Jacob; Breiner, Christine 10 2011 Helicoid-like minimal disks and uniqueness. Zbl 1225.53008 Bernstein, Jacob; Breiner, Christine 8 2011 Symmetry of embedded genus 1 helicoids. Zbl 1228.53008 Bernstein, Jacob; Breiner, Christine 2 2011 Distortions of the helicoid. Zbl 1282.49030 Bernstein, Jacob; Breiner, Christine 1 2008 all cited Publications top 5 cited Publications all top 5 Cited by 95 Authors 15 Bernstein, Jacob 7 Meeks, William Hamilton III 7 Wang, Lu 5 Colding, Tobias Holck 4 Hershkovits, Or 4 Lee, Hojoo 4 Minicozzi, William Philip II 4 Mramor, Alexander 4 Pérez Muñoz, Joaquín 4 White, Brian Cabell 3 Breiner, Christine 3 Chen, Letian 3 Schulze, Felix 3 Sun, Ao 3 Tinaglia, Giuseppe 2 Chodosh, Otis 2 Haslhofer, Robert 2 Lee, Eunjoo 2 Ma, John Man Shun 2 Mettler, Thomas 2 Min, Sung-Hong 2 Muhammad, Ali 2 Ros, Antonio 2 Seo, Keomkyo 2 Wang, Shengwen 2 Wang, Zhichao 2 Yao, Junfu 1 Ancari, Saul 1 Barchiesi, Marco 1 Benguria, Rafael D. 1 Betancourt de la Parra, Alejandro 1 Branding, Volker 1 Cao, Huai-Dong 1 Chan, Pak-Yeung 1 Cheng, Xu 1 Choi, Kyeongsu 1 Collin, Pascal 1 Dancer, Andrew S. 1 Daniels-Holgate, J. M. 1 De Philippis, Guido 1 Denzler, Jochen 1 Deruelle, Alix 1 El-Sayied, Hoda Kamal Mohamed 1 Fong, Frederick Tsz-Ho 1 Frank, Rupert L. 1 Gao, Xiang 1 Guang, Qiang 1 Guo, Siao-Hao 1 Hauswirth, Laurent 1 Hoffman, David A. 1 Julin, Vesa 1 Khan, Ilyas 1 Kim, Jongsu 1 Pedersen, Erik Kjær 1 Kwong, Kwok-Kun 1 Lai, Mijia 1 Leschke, Katrin 1 Li, Jinnan 1 Lima, Vanderson 1 Lin, Zhengjiang 1 Linde, Helmut 1 Liu, Tianbo 1 Loewe, Benjamín A. 1 Ma, Zilu 1 Maggi, Francesco 1 Magnanini, Rolando 1 Miranda, Igor 1 Møller, Niels Martin 1 Moriya, Katsuhiro 1 Nguyen, Manh Tien 1 Park, Sung-Ho 1 Peralta-Salas, Daniel 1 Pyo, Juncheol 1 Rosenberg, Harold 1 Rubinstein, Yanir A. 1 Sakaguchi, Shigeru 1 Schoen, Richard Melvin 1 Shenawy, Sameh 1 Shin, Jinwoo 1 Smoczyk, Knut 1 Syied, Noha 1 Topping, Peter Miles 1 Traizet, Martin 1 Tripaldi, Francesca 1 Vieira, Matheus 1 Wang, Gaoming 1 Wang, McKenzie Y. K. 1 Wang, Zhihan 1 Xie, Junming 1 Yu, Jiangtao 1 Zhang, Kewei 1 Zhang, Yongjia 1 Zhang, Yongzhe 1 Zhou, Xin 1 Zhu, Jonathan J. H. all top 5 Cited in 46 Serials 9 Journal für die Reine und Angewandte Mathematik 8 The Journal of Geometric Analysis 6 Calculus of Variations and Partial Differential Equations 5 Duke Mathematical Journal 5 Proceedings of the American Mathematical Society 4 Advances in Mathematics 4 Geometriae Dedicata 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Geometry & Topology 2 Bulletin of the London Mathematical Society 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Bulletin of the American Mathematical Society. New Series 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Probability Theory and Related Fields 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Interfaces and Free Boundaries 1 Advanced Nonlinear Studies 1 Journal of Dynamical Systems and Geometric Theories 1 Oberwolfach Reports 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 Journal of Topology and Analysis 1 Bulletin of Mathematical Sciences 1 Peking Mathematical Journal all top 5 Cited in 20 Fields 89 Differential geometry (53-XX) 24 Partial differential equations (35-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 Manifolds and cell complexes (57-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year