Edit Profile (opens in new tab) Ross, Julius Co-Author Distance Author ID: ross.julius Published as: Ross, Julius; Ross, J. Homepage: https://sites.google.com/uic.edu/juliusross/ External Links: MGP · ResearchGate Documents Indexed: 41 Publications since 2006, including 5 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 39 Joint Publications 349 Co-Co-Authors all top 5 Co-Authors 2 single-authored 12 Witt Nyström, David 8 Toma, Matei 5 Greb, Daniel 4 Thomas, Richard Paul 3 Garcia-Fernandez, Mario 2 Dervan, Ruadhaí 2 Keller, Julien 1 Fine, Joel 1 Friedlander, Eric Mark 1 Panov, Dmitri Alekseevich 1 Phong, Duong Hong 1 Roé, Joaquim 1 Singer, Michael A. 1 Sturm, Jacob 1 Süss, Hendrik 1 Székelyhidi, Gábor 1 Wannerer, Thomas 1 Wu, Kuang-Yu all top 5 Serials 4 Journal of Differential Geometry 3 Mathematische Annalen 3 IMRN. International Mathematics Research Notices 3 The Journal of Geometric Analysis 2 Compositio Mathematica 2 International Journal of Mathematics 2 Mathematical Research Letters 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Geometriae Dedicata 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Journal of Convex Analysis 1 Transformation Groups 1 Geometry & Topology 1 The Journal of Symplectic Geometry 1 Pure and Applied Mathematics Quarterly 1 Analysis & PDE all top 5 Fields 30 Several complex variables and analytic spaces (32-XX) 20 Algebraic geometry (14-XX) 11 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Associative rings and algebras (16-XX) 3 Convex and discrete geometry (52-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 411 times in 270 Documents Cited by ▼ Year ▼ A study of the Hilbert-Mumford criterion for the stability of projective varieties. Zbl 1200.14095 Ross, Julius; Thomas, Richard 74 2007 An obstruction to the existence of constant scalar curvature Kähler metrics. Zbl 1125.53057 Ross, Julius; Thomas, Richard 52 2006 Analytic test configurations and geodesic rays. Zbl 1300.32021 Ross, Julius; Nyström, David Witt 44 2014 Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics. Zbl 1244.32013 Ross, Julius; Thomas, Richard 37 2011 Deligne pairings and the Knudsen-Mumford expansion. Zbl 1138.14003 Phong, D. H.; Ross, Julius; Sturm, Jacob 24 2008 K-stability for Kähler manifolds. Zbl 1390.32021 Dervan, Ruadhaí; Ross, Julius 22 2017 Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation. Zbl 1333.32041 Ross, Julius; Nyström, David Witt 17 2015 A note on positivity of the CM line bundle. Zbl 1114.14023 Fine, J.; Ross, Julius 16 2006 Envelopes of positive metrics with prescribed singularities. Zbl 1421.32032 Ross, Julius; Nyström, David Witt 14 2017 The Hele-Shaw flow and moduli of holomorphic discs. Zbl 1370.76045 Ross, Julius; Nyström, David Witt 12 2015 Unstable products of smooth curves. Zbl 1107.14011 Ross, Julius 11 2006 Slope stability and exceptional divisors of high genus. Zbl 1162.14034 Panov, Dmitri; Ross, Julius 11 2009 Asymptotics of partial density functions for divisors. Zbl 1376.32029 Ross, Julius; Singer, Michael 10 2017 Weighted Bergman kernels on orbifolds. Zbl 1244.32002 Ross, Julius; Thomas, Richard 9 2011 Seshadri constants on symmetric products of curves. Zbl 1124.14012 Ross, Julius 7 2007 Variation of Gieseker moduli spaces via quiver GIT. Zbl 1400.14032 Greb, Daniel; Ross, Julius; Toma, Matei 7 2016 Homogeneous Monge-Ampère equations and canonical tubular neighbourhoods in Kähler geometry. Zbl 1405.32063 Ross, Julius; Nyström, David Witt 6 2017 Twisted Kähler-Einstein metrics. Zbl 1470.32067 Ross, Julius; Székelyhidi, Gábor 5 2021 Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces. Zbl 1439.14132 Greb, Daniel; Ross, Julius; Toma, Matei 4 2019 On the maximal rank problem for the complex homogeneous Monge-Ampère equation. Zbl 1412.32029 Ross, Julius; Witt Nyström, David 4 2019 Stable maps in higher dimensions. Zbl 1505.14025 Dervan, Ruadhaí; Ross, Julius 4 2019 Moduli of vector bundles on higher-dimensional base manifolds - construction and variation. Zbl 1427.14027 Greb, Daniel; Ross, Julius; Toma, Matei 3 2016 A note on Chow stability of the projectivization of Gieseker stable bundles. Zbl 1303.53090 Keller, Julien; Ross, Julius 3 2014 An inequality between multipoint Seshadri constants. Zbl 1189.14008 Roé, J.; Ross, Julius 2 2009 An approach to intersection theory on singular varieties using motivic complexes. Zbl 1387.14067 Friedlander, Eric M.; Ross, J. 2 2016 Balanced metrics on twisted Higgs bundles. Zbl 1361.53056 Garcia-Fernandez, Mario; Ross, Julius 2 2017 Balanced metrics on vector bundles and polarized manifolds. Zbl 1267.32018 Garcia-Fernandez, Mario; Ross, Julius 2 2013 Applications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flow. (Applications de la dualité entre l’équation de Monge-Ampère complexe homogène et le flot de Hele-Shaw.) Zbl 1475.32029 Ross, Julius; Nyström, David Witt 2 2019 The minimum principle for convex subequations. Zbl 1484.32049 Ross, Julius; Nyström, David Witt 1 2022 The Dirichlet problem for the complex homogeneous Monge-Ampère equation. Zbl 1448.32004 Ross, Julius; Witt Nyström, David 1 2018 Hodge-Riemann bilinear relations for Schur classes of ample vector bundles. Zbl 1522.14012 Ross, Julius; Toma, Matei 1 2023 Differentiability of the argmin function and a minimum principle for semiconcave subsolutions. Zbl 1453.90122 Ross, Julius; Nyström, David Witt 1 2020 A master space for moduli spaces of Gieseker-stable sheaves. Zbl 1445.14023 Greb, D.; Ross, J.; Toma, M. 1 2019 Hodge-Riemann bilinear relations for Schur classes of ample vector bundles. Zbl 1522.14012 Ross, Julius; Toma, Matei 1 2023 The minimum principle for convex subequations. Zbl 1484.32049 Ross, Julius; Nyström, David Witt 1 2022 Twisted Kähler-Einstein metrics. Zbl 1470.32067 Ross, Julius; Székelyhidi, Gábor 5 2021 Differentiability of the argmin function and a minimum principle for semiconcave subsolutions. Zbl 1453.90122 Ross, Julius; Nyström, David Witt 1 2020 Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces. Zbl 1439.14132 Greb, Daniel; Ross, Julius; Toma, Matei 4 2019 On the maximal rank problem for the complex homogeneous Monge-Ampère equation. Zbl 1412.32029 Ross, Julius; Witt Nyström, David 4 2019 Stable maps in higher dimensions. Zbl 1505.14025 Dervan, Ruadhaí; Ross, Julius 4 2019 Applications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flow. (Applications de la dualité entre l’équation de Monge-Ampère complexe homogène et le flot de Hele-Shaw.) Zbl 1475.32029 Ross, Julius; Nyström, David Witt 2 2019 A master space for moduli spaces of Gieseker-stable sheaves. Zbl 1445.14023 Greb, D.; Ross, J.; Toma, M. 1 2019 The Dirichlet problem for the complex homogeneous Monge-Ampère equation. Zbl 1448.32004 Ross, Julius; Witt Nyström, David 1 2018 K-stability for Kähler manifolds. Zbl 1390.32021 Dervan, Ruadhaí; Ross, Julius 22 2017 Envelopes of positive metrics with prescribed singularities. Zbl 1421.32032 Ross, Julius; Nyström, David Witt 14 2017 Asymptotics of partial density functions for divisors. Zbl 1376.32029 Ross, Julius; Singer, Michael 10 2017 Homogeneous Monge-Ampère equations and canonical tubular neighbourhoods in Kähler geometry. Zbl 1405.32063 Ross, Julius; Nyström, David Witt 6 2017 Balanced metrics on twisted Higgs bundles. Zbl 1361.53056 Garcia-Fernandez, Mario; Ross, Julius 2 2017 Variation of Gieseker moduli spaces via quiver GIT. Zbl 1400.14032 Greb, Daniel; Ross, Julius; Toma, Matei 7 2016 Moduli of vector bundles on higher-dimensional base manifolds - construction and variation. Zbl 1427.14027 Greb, Daniel; Ross, Julius; Toma, Matei 3 2016 An approach to intersection theory on singular varieties using motivic complexes. Zbl 1387.14067 Friedlander, Eric M.; Ross, J. 2 2016 Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation. Zbl 1333.32041 Ross, Julius; Nyström, David Witt 17 2015 The Hele-Shaw flow and moduli of holomorphic discs. Zbl 1370.76045 Ross, Julius; Nyström, David Witt 12 2015 Analytic test configurations and geodesic rays. Zbl 1300.32021 Ross, Julius; Nyström, David Witt 44 2014 A note on Chow stability of the projectivization of Gieseker stable bundles. Zbl 1303.53090 Keller, Julien; Ross, Julius 3 2014 Balanced metrics on vector bundles and polarized manifolds. Zbl 1267.32018 Garcia-Fernandez, Mario; Ross, Julius 2 2013 Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics. Zbl 1244.32013 Ross, Julius; Thomas, Richard 37 2011 Weighted Bergman kernels on orbifolds. Zbl 1244.32002 Ross, Julius; Thomas, Richard 9 2011 Slope stability and exceptional divisors of high genus. Zbl 1162.14034 Panov, Dmitri; Ross, Julius 11 2009 An inequality between multipoint Seshadri constants. Zbl 1189.14008 Roé, J.; Ross, Julius 2 2009 Deligne pairings and the Knudsen-Mumford expansion. Zbl 1138.14003 Phong, D. H.; Ross, Julius; Sturm, Jacob 24 2008 A study of the Hilbert-Mumford criterion for the stability of projective varieties. Zbl 1200.14095 Ross, Julius; Thomas, Richard 74 2007 Seshadri constants on symmetric products of curves. Zbl 1124.14012 Ross, Julius 7 2007 An obstruction to the existence of constant scalar curvature Kähler metrics. Zbl 1125.53057 Ross, Julius; Thomas, Richard 52 2006 A note on positivity of the CM line bundle. Zbl 1114.14023 Fine, J.; Ross, Julius 16 2006 Unstable products of smooth curves. Zbl 1107.14011 Ross, Julius 11 2006 all cited Publications top 5 cited Publications all top 5 Cited by 235 Authors 16 Ross, Julius 12 Darvas, Tamás 11 Fujita, Kento 10 Li, Chi 9 Lu, Chinh Hoang 9 Witt Nyström, David 9 Xu, Chenyang 8 Dervan, Ruadhaí 8 Odaka, Yuji 7 Székelyhidi, Gábor 6 Apostolov, Vestislav 6 Berman, Robert J. 6 Chen, Xiuxiong 6 Di Nezza, Eleonora 6 Sun, Song 5 Boucksom, Sébastien 5 Boyer, Charles P. 5 Hisamoto, Tomoyuki 5 Liu, Yuchen 5 Toma, Matei 5 Tønnesen-Friedman, Christina Wiis 4 Chu, Jianchun 4 Codogni, Giulio 4 Greb, Daniel 4 Jonsson, Mattias 4 Keller, Julien 4 Legendre, Eveline 4 Trusiani, Antonio 3 Bastianelli, Francesco 3 Blum, Harold 3 Calderbank, David M. J. 3 Gustafsson, Bjorn 3 Hashimoto, Yoshinori 3 He, Weiyong 3 Lai, Mijia 3 Maclean, Catriona 3 Marinescu, George 3 Martinez-Garcia, Jesus 3 Sektnan, Lars Martin 3 Sjöström Dyrefelt, Zakarias 3 Song, Jian 3 Stoppa, Jacopo 3 Tosatti, Valentino 3 Wang, Xiaowei 3 Weinkove, Ben 3 Zhou, Bin 2 Ascher, Kenneth 2 Auvray, Hugues 2 Bauer, Thomas 2 Berndtsson, Bo 2 Cheltsov, Ivan Anatol’evich 2 Cheng, Jingrui 2 Collins, Tristan Clifford 2 Coman, Dan 2 de Fernex, Tommaso 2 DeVleming, Kristin 2 Fang, Hao 2 Futaki, Akito 2 Garcia-Fernandez, Mario 2 Gauduchon, Paul 2 Grieve, Nathan Mark 2 Halpern-Leistner, Daniel 2 Herrmann, Hendrik 2 Hsiao, Chin-Yu 2 Jubert, Simon 2 Küronya, Alex 2 LeBrun, Claude R. 2 Li, Haozhao 2 Li, Xiaoshan 2 McCleerey, Nicholas 2 Okada, Takuzo 2 Rao, Sheng 2 Rashkovskii, Alexander 2 Rayan, Steven 2 Reboulet, Rémi 2 Roé, Joaquim 2 Sano, Yuji 2 Seyyedali, Reza 2 Shi, Yalong 2 Singer, Michael A. 2 Smith, Kevin 2 Spotti, Cristiano 2 Sun, Jingzhou 2 Wennman, Aron 2 Won, Joonyeong 2 Xia, Mingchen 2 Yang, Song 2 Yang, Xiangdong 2 Yao, Yi 2 Zelditch, Steve 2 Zhang, Kewei 2 Zhuang, Ziquan 2 Zuddas, Fabio 1 Abramovich, Dan 1 Alper, Jarod 1 Álvarez-Cónsul, Luis 1 Amrutiya, Sanjaykumar Hansraj 1 Angella, Daniele 1 Arezzo, Claudio 1 Bachhuber, S. ...and 135 more Authors all top 5 Cited in 86 Serials 16 Mathematische Annalen 15 The Journal of Geometric Analysis 14 Advances in Mathematics 10 Mathematische Zeitschrift 9 Inventiones Mathematicae 9 Journal für die Reine und Angewandte Mathematik 8 Transactions of the American Mathematical Society 8 Geometry & Topology 7 Annales de l’Institut Fourier 6 Compositio Mathematica 6 Duke Mathematical Journal 6 Manuscripta Mathematica 6 Journal of the American Mathematical Society 6 Annals of Mathematics. Second Series 5 Communications in Mathematical Physics 5 International Journal of Mathematics 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Analysis & PDE 5 European Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Journal of the Mathematical Society of Japan 4 Proceedings of the American Mathematical Society 4 Journal of Algebraic Geometry 4 Forum of Mathematics, Sigma 3 Annals of Global Analysis and Geometry 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of the Institute of Mathematics of Jussieu 3 Kyoto Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Complex Manifolds 2 Communications on Pure and Applied Mathematics 2 Beiträge zur Algebra und Geometrie 2 Annales Polonici Mathematici 2 Journal of Algebra 2 Journal of Differential Geometry 2 Journal of Functional Analysis 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Tôhoku Mathematical Journal. Second Series 2 Selecta Mathematica. New Series 2 Transformation Groups 2 Journal of the European Mathematical Society (JEMS) 2 Oberwolfach Reports 2 Analysis and Mathematical Physics 1 Analysis Mathematica 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Documenta Mathematica 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Science China. Mathematics 1 Annales Mathématiques du Québec 1 EMS Surveys in Mathematical Sciences 1 Annals of PDE 1 Geometric Flows 1 Peking Mathematical Journal 1 Annales Henri Lebesgue all top 5 Cited in 26 Fields 160 Several complex variables and analytic spaces (32-XX) 139 Algebraic geometry (14-XX) 115 Differential geometry (53-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Partial differential equations (35-XX) 9 Functions of a complex variable (30-XX) 6 Manifolds and cell complexes (57-XX) 4 Associative rings and algebras (16-XX) 4 Potential theory (31-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) Citations by Year