Edit Profile (opens in new tab) Ilmanen, Thomas Co-Author Distance Author ID: ilmanen.thomas Published as: Ilmanen, Tom; Ilmanen, Thomas; Ilmanen, T. more...less Homepage: https://ethz.ch/staffnet/de/organisation/who-is-who/math/details.OTA5NTM=.TGlzdC... External Links: MGP Documents Indexed: 21 Publications since 1992, including 1 Book and 1 Additional arXiv Preprint 4 Contributions as Editor Co-Authors: 19 Co-Authors with 20 Joint Publications 399 Co-Co-Authors all top 5 Co-Authors 5 single-authored 5 Huisken, Gerhard 5 White, Brian Cabell 3 Hoffman, David A. 3 Martín, Francisco 3 Schatzle, Reiner 3 Trudinger, Neil Sidney 2 Colding, Tobias Holck 2 Knopf, Dan 2 Minicozzi, William Philip II 1 Arroja Neves, André 1 Cao, Huai-Dong 1 Ecker, Klaus 1 Feldman, Mikhail 1 Hamilton, Richard Streit 1 Ni, Lei 1 Schulze, Felix 1 Sternberg, Peter J. 1 Weiss, Georg Sebastian 1 Ziemer, William Paul all top 5 Serials 6 Journal of Differential Geometry 4 Oberwolfach Reports 3 Calculus of Variations and Partial Differential Equations 2 The Journal of Geometric Analysis 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Memoirs of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Mathematical Research Letters 1 Cambridge Journal of Mathematics all top 5 Fields 21 Differential geometry (53-XX) 11 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 3 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 1,188 times in 932 Documents Cited by ▼ Year ▼ The inverse mean curvature flow and the Riemannian Penrose inequality. Zbl 1055.53052 Huisken, Gerhard; Ilmanen, Tom 329 2001 Elliptic regularization and partial regularity for motion by mean curvature. Zbl 0798.35066 Ilmanen, Tom 177 1994 Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature. Zbl 0784.53035 Ilmanen, Tom 155 1993 Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons. Zbl 1069.53036 Feldman, Mikhail; Ilmanen, Tom; Knopf, Dan 98 2003 Generalized flow of sets by mean curvature on a manifold. Zbl 0759.53035 Ilmanen, Tom 61 1992 Graphical translators for mean curvature flow. Zbl 1416.53062 Hoffman, D.; Ilmanen, T.; Martín, F.; White, B. 51 2019 Higher regularity of the inverse mean curvature flow. Zbl 1161.53058 Huisken, Gerhard; Ilmanen, Tom 47 2008 Entropy and reduced distance for Ricci expanders. Zbl 1071.53040 Feldman, Michael; Ilmanen, Tom; Ni, Lei 38 2005 The Riemannian Penrose inequality. Zbl 0905.53043 Huisken, G.; Ilmanen, T. 37 1997 The round sphere minimizes entropy among closed self-shrinkers. Zbl 1278.53069 Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. II.; White, Brian 36 2013 Rigidity of generic singularities of mean curvature flow. Zbl 1331.53098 Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. 31 2015 On short time existence for the planar network flow. Zbl 1451.53121 Ilmanen, Tom; Neves, André; Schulze, Felix 27 2019 The level-set flow on a manifold. Zbl 0827.53014 Ilmanen, Tom 26 1993 A strong maximum principle for singular minimal hypersurfaces. Zbl 0863.49030 Ilmanen, T. 26 1996 Notes on translating solitons for mean curvature flow. Zbl 1484.53009 Hoffman, David; Ilmanen, Tom; Martín, Francisco; White, Brian 14 2021 A lower bound for the diameter of solutions to the Ricci flow with nonzero \(H^1(M^n, \mathbb R)\). Zbl 1048.58022 Ilmanen, Tom; Knopf, Dan 12 2003 Sharp lower bounds on density for area-minimizing cones. Zbl 1341.53012 Ilmanen, Tom; White, Brian 11 2015 Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028 Ilmanen, Tom; Sternberg, Peter; Ziemer, William P. 5 1998 Correction to: “Graphical translators for mean curvature flow”. Zbl 1440.53108 Hoffman, D.; Ilmanen, T.; Martín, F.; White, B. 5 2019 Energy inequalities for isolated systems and hypersurfaces moving by their curvature. Zbl 1032.83018 Huisken, Gerhard; Ilmanen, Tom 2 2002 Notes on translating solitons for mean curvature flow. Zbl 1484.53009 Hoffman, David; Ilmanen, Tom; Martín, Francisco; White, Brian 14 2021 Graphical translators for mean curvature flow. Zbl 1416.53062 Hoffman, D.; Ilmanen, T.; Martín, F.; White, B. 51 2019 On short time existence for the planar network flow. Zbl 1451.53121 Ilmanen, Tom; Neves, André; Schulze, Felix 27 2019 Correction to: “Graphical translators for mean curvature flow”. Zbl 1440.53108 Hoffman, D.; Ilmanen, T.; Martín, F.; White, B. 5 2019 Rigidity of generic singularities of mean curvature flow. Zbl 1331.53098 Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. 31 2015 Sharp lower bounds on density for area-minimizing cones. Zbl 1341.53012 Ilmanen, Tom; White, Brian 11 2015 The round sphere minimizes entropy among closed self-shrinkers. Zbl 1278.53069 Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. II.; White, Brian 36 2013 Higher regularity of the inverse mean curvature flow. Zbl 1161.53058 Huisken, Gerhard; Ilmanen, Tom 47 2008 Entropy and reduced distance for Ricci expanders. Zbl 1071.53040 Feldman, Michael; Ilmanen, Tom; Ni, Lei 38 2005 Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons. Zbl 1069.53036 Feldman, Mikhail; Ilmanen, Tom; Knopf, Dan 98 2003 A lower bound for the diameter of solutions to the Ricci flow with nonzero \(H^1(M^n, \mathbb R)\). Zbl 1048.58022 Ilmanen, Tom; Knopf, Dan 12 2003 Energy inequalities for isolated systems and hypersurfaces moving by their curvature. Zbl 1032.83018 Huisken, Gerhard; Ilmanen, Tom 2 2002 The inverse mean curvature flow and the Riemannian Penrose inequality. Zbl 1055.53052 Huisken, Gerhard; Ilmanen, Tom 329 2001 Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028 Ilmanen, Tom; Sternberg, Peter; Ziemer, William P. 5 1998 The Riemannian Penrose inequality. Zbl 0905.53043 Huisken, G.; Ilmanen, T. 37 1997 A strong maximum principle for singular minimal hypersurfaces. Zbl 0863.49030 Ilmanen, T. 26 1996 Elliptic regularization and partial regularity for motion by mean curvature. Zbl 0798.35066 Ilmanen, Tom 177 1994 Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature. Zbl 0784.53035 Ilmanen, Tom 155 1993 The level-set flow on a manifold. Zbl 0827.53014 Ilmanen, Tom 26 1993 Generalized flow of sets by mean curvature on a manifold. Zbl 0759.53035 Ilmanen, Tom 61 1992 all cited Publications top 5 cited Publications all top 5 Cited by 933 Authors 14 Pyo, Juncheol 14 Tonegawa, Yoshihiro 14 White, Brian Cabell 13 Haslhofer, Robert 13 Mazzieri, Lorenzo 13 Miao, Pengzi 12 Chodosh, Otis 12 Khuri, Marcus A. 11 Colding, Tobias Holck 11 López Camino, Rafael 11 Stefanelli, Ulisse 10 Minicozzi, William Philip II 10 Novaga, Matteo 9 Eichmair, Michael 9 Fogagnolo, Mattia 9 Scheuer, Julian 9 Schulze, Felix 9 Shi, Yuguang 9 Streets, Jeffrey D. 8 Bellettini, Giovanni 8 Bernstein, Jacob 8 Bray, Hubert L. 8 Hershkovits, Or 8 Jauregui, Jeffrey L. 8 Kim, Daehwan 8 Laux, Tim 8 Soner, Halil Mete 7 Agostiniani, Virginia 7 Arroja Neves, André 7 Brendle, Simon 7 Bueno, Antonio 7 Cao, Huai-Dong 7 Deruelle, Alix 7 Kröner, Heiko 7 Mantegazza, Carlo 7 Tian, Gang 7 Wang, Lu 7 Xia, Chao 6 Chen, Xinfu 6 de Lira, Jorge Herbert Soares 6 Giga, Yoshikazu 6 Ilmanen, Thomas 6 Lee, Dan Archibald 6 Li, Yukun 6 Lopes de Lima, Levi 6 Lu, Peng 6 Wang, Guofang 5 Alaee, Aghil 5 Chow, Bennett 5 Gang, Zhou 5 Ge, Yuxin 5 Girão, Frederico 5 Martínez-Triviño, Antonio Luis 5 Mccormick, Stephen Michael 5 Melchionna, Stefano 5 Mramor, Alexander 5 Pisante, Adriano 5 Röger, Matthias 5 Smoczyk, Knut 5 Souganidis, Panagiotis E. 5 Takasao, Keisuke 5 Wang, Zenggui 5 Wickramasekera, Neshan 5 Wu, Jie 5 Xie, Naqing 5 Yip, Nung Kwan 4 Akagi, Goro 4 Allen, Brian Daniel 4 Cabrera Pacheco, Armando J. 4 Carlotto, Alessandro 4 Cederbaum, Carla 4 Cesaroni, Annalisa 4 Del Pino, Manuel A. 4 Ding, Qi 4 Guang, Qiang 4 Hoffman, David A. 4 Knopf, Dan 4 Körber, Thomas 4 Li, Jiayu 4 Liu, Zuhan 4 Loi, Andrea 4 Lott, John 4 Martín, Francisco 4 Moser, Maximilian 4 Munteanu, Ovidiu 4 Orlandi, Giandomenico 4 Ortega, Miguel 4 Pluda, Alessandra 4 Segura de León, Sergio 4 Sormani, Christina 4 Sun, Ao 4 Tam, Luen-Fai 4 Tosatti, Valentino 4 Tu, Qiang 4 Wang, Linfeng 4 Wang, Mu-Tao 4 Wei, Yong 4 Weinkove, Ben 4 Wu, Di 4 Wu, Guoqiang ...and 833 more Authors all top 5 Cited in 192 Serials 65 Calculus of Variations and Partial Differential Equations 56 The Journal of Geometric Analysis 38 Proceedings of the American Mathematical Society 34 Communications in Mathematical Physics 29 Advances in Mathematics 25 Journal of Mathematical Analysis and Applications 22 Mathematische Annalen 22 Transactions of the American Mathematical Society 20 Classical and Quantum Gravity 20 Journal für die Reine und Angewandte Mathematik 18 Archive for Rational Mechanics and Analysis 18 Journal of Geometry and Physics 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Functional Analysis 16 Annals of Global Analysis and Geometry 15 Journal of Differential Equations 14 Annales Henri Poincaré 13 Communications on Pure and Applied Mathematics 13 Communications in Partial Differential Equations 12 Inventiones Mathematicae 11 General Relativity and Gravitation 11 Duke Mathematical Journal 10 Journal of Differential Geometry 10 Geometric and Functional Analysis. GAFA 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal of Mathematical Physics 8 Pacific Journal of Mathematics 8 Differential Geometry and its Applications 8 SIAM Journal on Mathematical Analysis 8 Geometry & Topology 7 Journal of the London Mathematical Society. Second Series 7 Mathematische Zeitschrift 7 Chinese Annals of Mathematics. Series B 7 Communications in Contemporary Mathematics 6 Computers & Mathematics with Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Geometriae Dedicata 6 Results in Mathematics 6 International Journal of Mathematics 6 Annals of Mathematics. Second Series 6 Mediterranean Journal of Mathematics 6 Science China. Mathematics 5 Indiana University Mathematics Journal 5 NoDEA. Nonlinear Differential Equations and Applications 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Oberwolfach Reports 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Journal of Geometry 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Discrete and Continuous Dynamical Systems 4 Interfaces and Free Boundaries 4 Living Reviews in Relativity 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Nonlinearity 3 Annales de l’Institut Fourier 3 Publications Mathématiques 3 Manuscripta Mathematica 3 Numerische Mathematik 3 Journal of the American Mathematical Society 3 Journal of Scientific Computing 3 Bulletin of the American Mathematical Society. New Series 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Journal of High Energy Physics 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Advanced Nonlinear Studies 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in Calculus of Variations 3 Peking Mathematical Journal 2 Bulletin of the Australian Mathematical Society 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 American Journal of Mathematics 2 Applied Mathematics and Computation 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana 2 Journal of Theoretical Probability 2 Sugaku Expositions 2 IMRN. International Mathematics Research Notices 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Physical Review Letters 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Frontiers of Mathematics in China ...and 92 more Serials all top 5 Cited in 41 Fields 693 Differential geometry (53-XX) 332 Partial differential equations (35-XX) 144 Relativity and gravitational theory (83-XX) 110 Global analysis, analysis on manifolds (58-XX) 106 Calculus of variations and optimal control; optimization (49-XX) 48 Numerical analysis (65-XX) 32 Several complex variables and analytic spaces (32-XX) 26 Probability theory and stochastic processes (60-XX) 20 Mechanics of deformable solids (74-XX) 19 Fluid mechanics (76-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Convex and discrete geometry (52-XX) 14 Measure and integration (28-XX) 14 Potential theory (31-XX) 14 Operator theory (47-XX) 13 Algebraic geometry (14-XX) 11 Real functions (26-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 8 Geometry (51-XX) 8 Mechanics of particles and systems (70-XX) 8 Quantum theory (81-XX) 7 Manifolds and cell complexes (57-XX) 6 General and overarching topics; collections (00-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Systems theory; control (93-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year