Edit Profile (opens in new tab) Collins, Tristan Clifford Co-Author Distance Author ID: collins.tristan-c Published as: Collins, Tristan C.; Collins, Tristan Homepage: http://www.math.harvard.edu/~tcollins/homepage.html External Links: MGP · GND Documents Indexed: 43 Publications since 2013, including 10 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 25 Co-Authors with 37 Joint Publications 875 Co-Co-Authors all top 5 Co-Authors 6 single-authored 12 Yau, Shing-Tung 7 Jacob, Adam 5 Picard, Sebastien 5 Tosatti, Valentino 4 Lin, Yu-Shen 4 Székelyhidi, Gábor 2 Shi, Yun 2 Tong, Freid 2 Xie, Dan 1 Berman, Robert J. 1 Bieri, Lydia 1 Chruściel, Piotr Tadeusz 1 Chu, Jianchun 1 Greenleaf, Allan 1 Gukov, Sergei 1 Guo, Bin 1 Hisamoto, Tomoyuki 1 Lee, Man-Chun 1 Mooney, Connor 1 Persson, Daniel 1 Phong, Duong Hong 1 Pramanik, Malabika 1 Takahashi, Ryosuke 1 Weinkove, Ben 1 Wu, Xuan all top 5 Serials 3 Journal of Differential Geometry 2 American Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Calculus of Variations and Partial Differential Equations 2 Geometry & Topology 2 Pure and Applied Mathematics Quarterly 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Communications in Analysis and Geometry 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis & PDE 1 Forum of Mathematics, Sigma 1 Cambridge Journal of Mathematics 1 Annals of PDE 1 Harvard University Center of Mathematical Sciences and Applications Series in Mathematics (CSMA) all top 5 Fields 26 Differential geometry (53-XX) 21 Several complex variables and analytic spaces (32-XX) 10 Algebraic geometry (14-XX) 7 Partial differential equations (35-XX) 4 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 306 times in 222 Documents Cited by ▼ Year ▼ Kähler currents and null loci. Zbl 1341.32016 Collins, Tristan C.; Tosatti, Valentino 39 2015 K-semistability for irregular Sasakian manifolds. Zbl 1403.53039 Collins, Tristan C.; Székelyhidi, Gábor 33 2018 \((1,1)\) forms with specified Lagrangian phase: a priori estimates and algebraic obstructions. Zbl 1442.14124 Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung 27 2020 Sasaki-Einstein metrics and K-stability. Zbl 1432.32033 Collins, Tristan C.; Székelyhidi, Gábor 27 2019 Convergence of the \(J\)-flow on toric manifolds. Zbl 1392.53072 Collins, Tristan C.; Székelyhidi, Gábor 24 2017 A multi-dimensional resolution of singularities with applications to analysis. Zbl 1281.32026 Collins, Tristan C.; Greenleaf, Allan; Pramanik, Malabika 22 2013 The deformed Hermitian-Yang-Mills equation in geometry and physics. Zbl 1421.35300 Collins, Tristan C.; Xie, Dan; Yau, Shing-Tung 18 2018 The twisted Kähler-Ricci flow. Zbl 1357.53076 Collins, Tristan C.; Székelyhidi, Gábor 17 2016 Concavity of the Lagrangian phase operator and applications. Zbl 1378.35116 Collins, Tristan C.; Picard, Sebastien; Wu, Xuan 16 2017 Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007 Collins, Tristan C.; Yau, Shing-Tung 14 2021 Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057 Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung 9 2019 Special Lagrangian submanifolds of log Calabi-Yau manifolds. Zbl 1479.14046 Collins, Tristan C.; Jacob, Adam; Lin, Yu-Shen 8 2021 An extension theorem for Kähler currents with analytic singularities. Zbl 1333.32023 Collins, Tristan C.; Tosatti, Valentino 7 2014 The transverse entropy functional and the Sasaki-Ricci flow. Zbl 1270.53074 Collins, Tristan C. 7 2013 \(C^{2,\alpha}\) estimates for nonlinear elliptic equations of twisted type. Zbl 1345.35036 Collins, Tristan C. 6 2016 A singular Demailly-Păun theorem. (Un théorème de Demailly-Păun singulier.) Zbl 1344.32005 Collins, Tristan C.; Tosatti, Valentino 4 2016 The Dirichlet problem for the \(k\)-Hessian equation on a complex manifold. Zbl 1522.35004 Collins, Tristan C.; Picard, Sebastien 4 2022 The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics. Zbl 1495.32065 Collins, Tristan C.; Hisamoto, Tomoyuki; Takahashi, Ryosuke 4 2022 On the convergence of the Sasaki-Ricci flow. Zbl 1335.53058 Collins, Tristan C.; Jacob, Adam 3 2015 Stability and convergence of the Sasaki-Ricci flow. Zbl 1343.53039 Collins, Tristan C. 3 2016 Uniform Sobolev inequality along the Sasaki-Ricci flow. Zbl 1303.53088 Collins, Tristan C. 3 2014 Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces. Zbl 1386.35127 Collins, Tristan C.; Mooney, Connor 2 2017 Remarks on the Yang-Mills flow on a compact Kähler manifold. Zbl 1317.53033 Collins, Tristan C.; Jacob, Adam 2 2013 Concave elliptic equations and generalized Khovanskii-Teissier inequalities. Zbl 1475.32009 Collins, Tristan C. 2 2021 The Torelli theorem for \(ALH^*\) gravitational instantons. Zbl 1501.35396 Collins, Tristan; Jacob, Adam; Lin, Yu-Shen 2 2022 Log-canonical thresholds in real and complex dimension 2. (Seuils log-canoniques en dimension réelle et complexe 2.) Zbl 1425.14012 Collins, Tristan C. 1 2018 On the degeneration of asymptotically conical Calabi-Yau metrics. Zbl 1495.14055 Collins, Tristan C.; Guo, Bin; Tong, Freid 1 2022 The space of almost calibrated \((1,1)\)-forms on a compact Kähler manifold. Zbl 1487.32097 Chu, Jianchun; Collins, Tristan C.; Lee, Man-Chun 1 2021 The Dirichlet problem for the \(k\)-Hessian equation on a complex manifold. Zbl 1522.35004 Collins, Tristan C.; Picard, Sebastien 4 2022 The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics. Zbl 1495.32065 Collins, Tristan C.; Hisamoto, Tomoyuki; Takahashi, Ryosuke 4 2022 The Torelli theorem for \(ALH^*\) gravitational instantons. Zbl 1501.35396 Collins, Tristan; Jacob, Adam; Lin, Yu-Shen 2 2022 On the degeneration of asymptotically conical Calabi-Yau metrics. Zbl 1495.14055 Collins, Tristan C.; Guo, Bin; Tong, Freid 1 2022 Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007 Collins, Tristan C.; Yau, Shing-Tung 14 2021 Special Lagrangian submanifolds of log Calabi-Yau manifolds. Zbl 1479.14046 Collins, Tristan C.; Jacob, Adam; Lin, Yu-Shen 8 2021 Concave elliptic equations and generalized Khovanskii-Teissier inequalities. Zbl 1475.32009 Collins, Tristan C. 2 2021 The space of almost calibrated \((1,1)\)-forms on a compact Kähler manifold. Zbl 1487.32097 Chu, Jianchun; Collins, Tristan C.; Lee, Man-Chun 1 2021 \((1,1)\) forms with specified Lagrangian phase: a priori estimates and algebraic obstructions. Zbl 1442.14124 Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung 27 2020 Sasaki-Einstein metrics and K-stability. Zbl 1432.32033 Collins, Tristan C.; Székelyhidi, Gábor 27 2019 Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057 Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung 9 2019 K-semistability for irregular Sasakian manifolds. Zbl 1403.53039 Collins, Tristan C.; Székelyhidi, Gábor 33 2018 The deformed Hermitian-Yang-Mills equation in geometry and physics. Zbl 1421.35300 Collins, Tristan C.; Xie, Dan; Yau, Shing-Tung 18 2018 Log-canonical thresholds in real and complex dimension 2. (Seuils log-canoniques en dimension réelle et complexe 2.) Zbl 1425.14012 Collins, Tristan C. 1 2018 Convergence of the \(J\)-flow on toric manifolds. Zbl 1392.53072 Collins, Tristan C.; Székelyhidi, Gábor 24 2017 Concavity of the Lagrangian phase operator and applications. Zbl 1378.35116 Collins, Tristan C.; Picard, Sebastien; Wu, Xuan 16 2017 Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces. Zbl 1386.35127 Collins, Tristan C.; Mooney, Connor 2 2017 The twisted Kähler-Ricci flow. Zbl 1357.53076 Collins, Tristan C.; Székelyhidi, Gábor 17 2016 \(C^{2,\alpha}\) estimates for nonlinear elliptic equations of twisted type. Zbl 1345.35036 Collins, Tristan C. 6 2016 A singular Demailly-Păun theorem. (Un théorème de Demailly-Păun singulier.) Zbl 1344.32005 Collins, Tristan C.; Tosatti, Valentino 4 2016 Stability and convergence of the Sasaki-Ricci flow. Zbl 1343.53039 Collins, Tristan C. 3 2016 Kähler currents and null loci. Zbl 1341.32016 Collins, Tristan C.; Tosatti, Valentino 39 2015 On the convergence of the Sasaki-Ricci flow. Zbl 1335.53058 Collins, Tristan C.; Jacob, Adam 3 2015 An extension theorem for Kähler currents with analytic singularities. Zbl 1333.32023 Collins, Tristan C.; Tosatti, Valentino 7 2014 Uniform Sobolev inequality along the Sasaki-Ricci flow. Zbl 1303.53088 Collins, Tristan C. 3 2014 A multi-dimensional resolution of singularities with applications to analysis. Zbl 1281.32026 Collins, Tristan C.; Greenleaf, Allan; Pramanik, Malabika 22 2013 The transverse entropy functional and the Sasaki-Ricci flow. Zbl 1270.53074 Collins, Tristan C. 7 2013 Remarks on the Yang-Mills flow on a compact Kähler manifold. Zbl 1317.53033 Collins, Tristan C.; Jacob, Adam 2 2013 all cited Publications top 5 cited Publications all top 5 Cited by 277 Authors 15 Collins, Tristan Clifford 10 Tosatti, Valentino 6 Li, Chi 6 Zhang, Xi 5 Boyer, Charles P. 5 Guedj, Vincent 5 Legendre, Eveline 4 Fazzi, Marco 4 He, Weiyong 4 Jacob, Adam 4 Kamimoto, Joe 4 Sun, Song 4 Takahashi, Ryosuke 4 Usmanov, S. E. 4 Xu, Chenyang 4 Yau, Shing-Tung 4 Zeriahi, Ahmed 4 Zhang, Chuanjing 4 Zhang, Jiaogen 3 Datar, Ved V. 3 Dinew, Sławomir 3 Guo, Bin 3 Hisamoto, Tomoyuki 3 Huang, Hongnian 3 Huang, Liding 3 Lin, Yu-Shen 3 Lu, Chinh Hoang 3 Nose, Toshihiro 3 Pan, Changpeng 3 Phong, Duong Hong 3 Picard, Sebastien 3 Pingali, Vamsi Pritham 3 Tong, Freid 3 Tønnesen-Friedman, Christina Wiis 3 Warren, Micah W. 3 Zheng, Tao 2 Amariti, Antonio 2 Apostolov, Vestislav 2 Bao, Jiakang 2 Berman, Robert J. 2 Bhattacharya, Arunima 2 Boucksom, Sébastien 2 Calderbank, David M. J. 2 Chu, Jianchun 2 Conlon, Ronan J. 2 Dervan, Ruadhaí 2 Di Nezza, Eleonora 2 Dong, Weisong 2 Edwards, Gregory 2 Fang, Shouwen 2 Filip, Simion 2 Foscolo, Lorenzo 2 Guenancia, Henri 2 Han, Xiaoli 2 Hanany, Amihay 2 Harvey, Reese 2 He, Yang-Hui Evariste 2 Hein, Hans-Joachim 2 Höring, Andreas 2 Jian, Wangjian 2 Jin, Xishen 2 Kawai, Kotaro 2 Lawson, Herbert Blaine jun. 2 Lee, Tsung-Ju 2 León-Cardenal, Edwin 2 Li, Chang 2 Lin, Chao-Ming 2 Liu, Jiawei 2 Liu, Yuchen 2 McCleerey, Nicholas 2 Nagel, Alexander 2 Nghiem, Tran-Trung 2 Ricci, Fulvio 2 Shen, Zhenghan 2 Sheng, Weimin 2 Sjöström Dyrefelt, Zakarias 2 Sun, Wei 2 Székelyhidi, Gábor 2 Vezzoni, Luigi 2 Wainger, Stephen 2 Wang, Jun 2 Weinkove, Ben 2 Xiao, Jian 2 Yamamoto, Hikaru 1 Acharya, Bobby Samir 1 Alday, Fernando 1 Argyres, Philip C. 1 Aroca, Fuensanta 1 Bakker, Benjamin 1 Ballal, Aashirwad 1 Barringer, Austin 1 Bedulli, Lucio 1 Bei, Francesco 1 Belova, Olga O. 1 Bianchi, Massimo 1 Bickel, Kelly 1 Biquard, Olivier 1 Bissi, Agnese 1 Biswas, Indranil 1 Bourget, Antoine ...and 177 more Authors all top 5 Cited in 86 Serials 20 Advances in Mathematics 17 The Journal of Geometric Analysis 10 Calculus of Variations and Partial Differential Equations 8 Mathematische Zeitschrift 7 Journal of Functional Analysis 5 Inventiones Mathematicae 5 Journal of Differential Geometry 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Geometry & Topology 4 American Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 International Journal of Mathematics 4 Differential Geometry and its Applications 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of High Energy Physics 4 Analysis & PDE 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Journal of the American Mathematical Society 3 Communications in Contemporary Mathematics 2 Communications in Mathematical Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Illinois Journal of Mathematics 2 Journal of Differential Equations 2 Annals of Global Analysis and Geometry 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Russian Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Complex Variables and Elliptic Equations 2 Forum of Mathematics, Sigma 2 Communications in Mathematics and Statistics 2 Complex Manifolds 1 Analysis Mathematica 1 Communications in Algebra 1 Mathematical Notes 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Journal of Inequalities and Applications 1 Journal of Mathematical Study 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Proyecciones 1 Journal of Physics A: Mathematical and Theoretical 1 Japanese Journal of Mathematics. 3rd Series 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana 1 Mathematics in Engineering 1 Peking Mathematical Journal all top 5 Cited in 27 Fields 141 Differential geometry (53-XX) 101 Several complex variables and analytic spaces (32-XX) 62 Algebraic geometry (14-XX) 54 Partial differential equations (35-XX) 35 Global analysis, analysis on manifolds (58-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Manifolds and cell complexes (57-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Relativity and gravitational theory (83-XX) 3 Functions of a complex variable (30-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year