Edit Profile (opens in new tab) Zucker, Steven Mark (b. 1949 d. 2019) Co-Author Distance Author ID: zucker.steven-m Published as: Zucker, Steven; Zucker, Steven M.; Zucker, S. more...less Further Spellings: Цукер Стевен External Links: MGP · Wikidata · Math-Net.Ru · IdRef Documents Indexed: 55 Publications since 1976, including 2 Books Biographic References: 3 Publications Co-Authors: 20 Co-Authors with 20 Joint Publications 538 Co-Co-Authors all top 5 Co-Authors 34 single-authored 4 Hain, Richard M. 4 Harris, Michael Howard 2 Brylinski, Jean-Luc 2 Saito, Masa-Hiko 2 Steenbrink, Joseph H. M. 1 Ayoub, Joseph 1 Bell, Steven R. 1 Chirikjian, Gregory S. 1 Cox, David A. 1 Dupont, Johan L. 1 Huckleberry, Alan Trinler 1 Ji, Lizhen 1 Narasimhan, Raghavan 1 Okonek, Christian 1 Saito, Morihiko 1 Sajjadi, Sajdeh 1 Saper, Leslie 1 Schumacher, Georg 1 Shiffman, Bernard 1 Van de Ven, Antonius all top 5 Serials 9 Inventiones Mathematicae 2 American Journal of Mathematics 2 Compositio Mathematica 2 Duke Mathematical Journal 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 L’Enseignement Mathématique. 2e Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Vietnam Journal of Mathematics 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Pure and Applied Mathematics Quarterly 1 Acta Crystallographica. Section A all top 5 Fields 46 Algebraic geometry (14-XX) 26 Several complex variables and analytic spaces (32-XX) 9 Algebraic topology (55-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 5 Topological groups, Lie groups (22-XX) 4 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 658 times in 505 Documents Cited by ▼ Year ▼ Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric. Zbl 0446.14002 Zucker, Steven 137 1979 Variation of mixed Hodge structure. I. Zbl 0626.14007 Steenbrink, Joseph; Zucker, Steven 94 1985 \(L_2\) cohomology of warped products and arithmetic groups. Zbl 0508.20020 Zucker, Steven 70 1982 Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004 Cox, David A.; Zucker, Steven 45 1979 Unipotent variations of mixed Hodge structure. Zbl 0622.14007 Hain, Richard M.; Zucker, Steven 38 1987 Generalized intermediate Jacobians and the theorem on normal functions. Zbl 0329.14008 Zucker, Steven 32 1976 The Hodge conjecture for cubic fourfolds. Zbl 0347.14005 Zucker, Steven 28 1977 Locally homogeneous variations of Hodge structure. Zbl 0584.14003 Zucker, Steven 19 1981 Extendability of normal functions associated to algebraic cycles. Zbl 0545.14017 El Zein, Fouad; Zucker, Steven 17 1984 Boundary cohomology of Shimura varieties. III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Zbl 1020.11042 Harris, Michael; Zucker, Steven 15 2001 An overview of recent advances in Hodge theory. Zbl 0793.14005 Brylinski, Jean-Luc; Zucker, Steven 14 1991 Satake compactifications. Zbl 0565.22009 Zucker, Steven 14 1983 Regulators and characteristic classes of flat bundles. Zbl 0976.14005 Dupont, Johan; Hain, Richard; Zucker, Steven 13 2000 Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Zbl 1242.14016 Ayoub, Joseph; Zucker, Steven 13 2012 Variation of mixed Hodge structure. II. Zbl 0615.14003 Zucker, Steven 13 1985 Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary. Zbl 0860.11031 Harris, Michael; Zucker, Steven 10 1994 \(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. II. Zbl 0624.14014 Zucker, Steven 10 1986 Remarks on a theorem of Fujita. Zbl 0503.14002 Zucker, Steven 9 1982 Degeneration of Hodge bundles. (After Steenbrink). Zbl 0574.14008 Zucker, Steven 8 1984 On the reductive Borel-Serre compactification: \(L^p\)-cohomology of arithmetic groups (for large \(p\)). Zbl 0998.14013 Zucker, Steven 6 2001 Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications. Zbl 0860.11030 Harris, Michael; Zucker, Steven 5 1994 The Hodge structures on the intersection homology of varieties with isolated singularities. Zbl 0645.14003 Zucker, Steven 5 1987 A guide to unipotent variations of mixed Hodge structure. Zbl 0622.14008 Hain, Richard M.; Zucker, Steven 5 1987 On the reductive Borel-Serre compactification. III: Mixed Hodge structures. Zbl 1082.22008 Zucker, Steven 4 2004 \(L^ p\)-cohomology and Satake compactifications. Zbl 0753.14017 Zucker, Steven 4 1991 The kernel spectral sequence of vanishing cycles. Zbl 0756.32020 Saito, Morihiko; Zucker, Steven 4 1990 Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Zbl 0697.14024 Saito, Masa-Hiko; Zucker, Steven 4 1991 Complex manifolds. 2nd corrected printing of the 1990 translation. Zbl 0901.32001 Bell, S. R.; Brylinski, J.-L.; Huckleberry, A. T.; Narasimhan, R.; Okonek, C.; Schumacher, G.; Van de Ven, A.; Zucker, S. 3 1998 On the boundary cohomology of locally symmetric varieties. – Appendix A: No ghosts for \(Sp_4\). – Appendix B: The Cayley transform (semi-simple or non-arithmetic version). – Appendix C: Equal-rank groups. Zbl 0952.14035 Zucker, Steven 2 1997 \(L^ p\)-cohomology: Banach spaces and homological methods on Riemannian manifolds. Zbl 0805.55006 Zucker, Steven 2 1993 On the reductive Borel-Serre compactification. II. Excentric quotients and least common modifications. Zbl 1158.32009 Zucker, Steven 2 2008 An introduction to \(L^ 2\)-cohomology. Zbl 0742.32021 Saper, Leslie; Zucker, Steven 2 1991 The Cheeger-Simons invariant as a Chern class. Zbl 0790.14013 Zucker, Steven 2 1989 Intermediate Jacobians and normal functions. Zbl 0564.14003 Zucker, Steven 2 1984 Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. Zbl 0644.14004 Steenbrink, Joseph; Zucker, Steven 2 1987 Mathematical aspects of molecular replacement. IV: Measure-theoretic decompositions of motion spaces. Zbl 1444.82014 Chirikjian, Gregory S.; Sajjadi, Sajdeh; Shiffman, Bernard; Zucker, Steven M. 1 2017 Erratum: “Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary”. Zbl 1008.11529 Harris, M.; Zucker, S. 1 1995 L\({}^ 2\)-cohomology of Shimura varieties. Zbl 0707.14018 Zucker, Steven 1 1990 \(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. Zbl 0545.55005 Zucker, Steven 1 1983 Truncations of mixed Hodge complexes. Zbl 0633.14005 Hain, Richard M.; Zucker, Steven 1 1987 Mathematical aspects of molecular replacement. IV: Measure-theoretic decompositions of motion spaces. Zbl 1444.82014 Chirikjian, Gregory S.; Sajjadi, Sajdeh; Shiffman, Bernard; Zucker, Steven M. 1 2017 Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Zbl 1242.14016 Ayoub, Joseph; Zucker, Steven 13 2012 On the reductive Borel-Serre compactification. II. Excentric quotients and least common modifications. Zbl 1158.32009 Zucker, Steven 2 2008 On the reductive Borel-Serre compactification. III: Mixed Hodge structures. Zbl 1082.22008 Zucker, Steven 4 2004 Boundary cohomology of Shimura varieties. III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Zbl 1020.11042 Harris, Michael; Zucker, Steven 15 2001 On the reductive Borel-Serre compactification: \(L^p\)-cohomology of arithmetic groups (for large \(p\)). Zbl 0998.14013 Zucker, Steven 6 2001 Regulators and characteristic classes of flat bundles. Zbl 0976.14005 Dupont, Johan; Hain, Richard; Zucker, Steven 13 2000 Complex manifolds. 2nd corrected printing of the 1990 translation. Zbl 0901.32001 Bell, S. R.; Brylinski, J.-L.; Huckleberry, A. T.; Narasimhan, R.; Okonek, C.; Schumacher, G.; Van de Ven, A.; Zucker, S. 3 1998 On the boundary cohomology of locally symmetric varieties. – Appendix A: No ghosts for \(Sp_4\). – Appendix B: The Cayley transform (semi-simple or non-arithmetic version). – Appendix C: Equal-rank groups. Zbl 0952.14035 Zucker, Steven 2 1997 Erratum: “Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary”. Zbl 1008.11529 Harris, M.; Zucker, S. 1 1995 Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary. Zbl 0860.11031 Harris, Michael; Zucker, Steven 10 1994 Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications. Zbl 0860.11030 Harris, Michael; Zucker, Steven 5 1994 \(L^ p\)-cohomology: Banach spaces and homological methods on Riemannian manifolds. Zbl 0805.55006 Zucker, Steven 2 1993 An overview of recent advances in Hodge theory. Zbl 0793.14005 Brylinski, Jean-Luc; Zucker, Steven 14 1991 \(L^ p\)-cohomology and Satake compactifications. Zbl 0753.14017 Zucker, Steven 4 1991 Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Zbl 0697.14024 Saito, Masa-Hiko; Zucker, Steven 4 1991 An introduction to \(L^ 2\)-cohomology. Zbl 0742.32021 Saper, Leslie; Zucker, Steven 2 1991 The kernel spectral sequence of vanishing cycles. Zbl 0756.32020 Saito, Morihiko; Zucker, Steven 4 1990 L\({}^ 2\)-cohomology of Shimura varieties. Zbl 0707.14018 Zucker, Steven 1 1990 The Cheeger-Simons invariant as a Chern class. Zbl 0790.14013 Zucker, Steven 2 1989 Unipotent variations of mixed Hodge structure. Zbl 0622.14007 Hain, Richard M.; Zucker, Steven 38 1987 The Hodge structures on the intersection homology of varieties with isolated singularities. Zbl 0645.14003 Zucker, Steven 5 1987 A guide to unipotent variations of mixed Hodge structure. Zbl 0622.14008 Hain, Richard M.; Zucker, Steven 5 1987 Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. Zbl 0644.14004 Steenbrink, Joseph; Zucker, Steven 2 1987 Truncations of mixed Hodge complexes. Zbl 0633.14005 Hain, Richard M.; Zucker, Steven 1 1987 \(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. II. Zbl 0624.14014 Zucker, Steven 10 1986 Variation of mixed Hodge structure. I. Zbl 0626.14007 Steenbrink, Joseph; Zucker, Steven 94 1985 Variation of mixed Hodge structure. II. Zbl 0615.14003 Zucker, Steven 13 1985 Extendability of normal functions associated to algebraic cycles. Zbl 0545.14017 El Zein, Fouad; Zucker, Steven 17 1984 Degeneration of Hodge bundles. (After Steenbrink). Zbl 0574.14008 Zucker, Steven 8 1984 Intermediate Jacobians and normal functions. Zbl 0564.14003 Zucker, Steven 2 1984 Satake compactifications. Zbl 0565.22009 Zucker, Steven 14 1983 \(L_ 2\)-cohomology and intersection homology of locally symmetric varieties. Zbl 0545.55005 Zucker, Steven 1 1983 \(L_2\) cohomology of warped products and arithmetic groups. Zbl 0508.20020 Zucker, Steven 70 1982 Remarks on a theorem of Fujita. Zbl 0503.14002 Zucker, Steven 9 1982 Locally homogeneous variations of Hodge structure. Zbl 0584.14003 Zucker, Steven 19 1981 Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric. Zbl 0446.14002 Zucker, Steven 137 1979 Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004 Cox, David A.; Zucker, Steven 45 1979 The Hodge conjecture for cubic fourfolds. Zbl 0347.14005 Zucker, Steven 28 1977 Generalized intermediate Jacobians and the theorem on normal functions. Zbl 0329.14008 Zucker, Steven 32 1976 all cited Publications top 5 cited Publications all top 5 Cited by 495 Authors 15 Hain, Richard M. 14 Saito, Morihiko 11 Kato, Kazuya 11 Zucker, Steven Mark 10 Usui, Sampei 10 Voisin, Claire 9 Nakayama, Chikara 9 Sabbah, Claude 7 Arapura, Donu 7 Pearlstein, Gregory J. 7 Tankeev, Sergeĭ Gennad’evich 6 Schnell, Christian 6 Zuo, Kang 5 Millson, John J. 5 Rochon, Frédéric 4 Asakura, Masanori 4 Brosnan, Patrick 4 Brunebarbe, Yohan 4 Brylinski, Jean-Luc 4 Doran, Charles F. 4 Fujisawa, Taro 4 Griffiths, Phillip Augustus 4 Harris, Michael Howard 4 Ivorra, Florian 4 Kerr, Matthew 4 Lan, Kai-Wen 4 Libgober, Anatoly S. 4 Schoen, Chad 4 Shvedov, Igor A. 4 Thompson, Alan Matthew 4 Vaish, Vaibhav 3 Bergeron, Nicolas 3 Bremner, Andrew 3 Carron, Gilles 3 Davison, Ben 3 de Cataldo, Mark Andrea A. 3 Dimca, Alexandru 3 Esnault, Hélène 3 Fastenberg, Lisa A. 3 Fujino, Osamu 3 Harder, Andrew 3 Huang, Chunle 3 Hunsicker, Eugenie 3 Jost, Jürgen 3 Kashiwara, Masaki 3 Klingler, Bruno 3 Kuz’minov, Vladimir I. 3 Lewis, James D. 3 Li, Zhiyuan 3 MacPherson, Robert Duncan 3 Mazzeo, Rafe R. 3 Migliorini, Luca 3 Nair, Arvind N. 3 Peters, Christiaan Anthonius Maria 3 Saito, Masa-Hiko 3 Silverman, Joseph Hillel 3 Simpson, Carlos Tschudi 3 Ulmer, Douglas L. 3 Wang, Botong 3 Wildeshaus, Jörg 3 Yang, Yi-Hu 3 Yu, Jeng-Daw 3 Zhao, Chen 2 Addington, Nicolas M. 2 Albin, Pierre 2 André, Yves 2 Auel, Asher Natan 2 Bakker, Benjamin 2 Bannai, Kenichi 2 Brüning, Jochen 2 Burgos Gil, José Ignacio 2 Burgos, José Ignacio 2 Calegari, Frank 2 Catanese, Fabrizio M. E. 2 Chakrabarti, Debraj 2 Chiarellotto, Bruno 2 Claudon, Benoît 2 Clozel, Laurent 2 Colliot-Thélène, Jean-Louis 2 Cox, David A. 2 Dan, Ananyo 2 del Angel, Pedro Luis 2 Deligne, Pierre 2 Deng, Ya 2 Di Cerbo, Luca Fabrizio 2 Dupont, Johan L. 2 Elduque, Eva 2 Eskandari, Payman 2 Eyssidieux, Philippe 2 Gao, Ziyang 2 Gillet, Henri A. 2 Goldman, William M. 2 Gol’dshtein, Vladimir Mikhailovich 2 Goncharov, Alexander Borisovich 2 Goresky, Robert Mark 2 Green, Mark Lee 2 Gurjar, Rajendra Vasant 2 Hagihara, Kei 2 Hanamura, Masaki 2 Haskell, Peter ...and 395 more Authors all top 5 Cited in 112 Serials 37 Duke Mathematical Journal 29 Inventiones Mathematicae 27 Compositio Mathematica 26 Mathematische Annalen 19 Advances in Mathematics 16 Journal für die Reine und Angewandte Mathematik 13 Mathematische Zeitschrift 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Manuscripta Mathematica 12 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Annales de l’Institut Fourier 10 Transactions of the American Mathematical Society 8 Proceedings of the American Mathematical Society 8 Proceedings of the Japan Academy. Series A 8 Bulletin of the American Mathematical Society. New Series 7 Journal of Algebra 7 Journal of Algebraic Geometry 6 Nagoya Mathematical Journal 6 Tôhoku Mathematical Journal. Second Series 6 Journal of the American Mathematical Society 6 The Journal of Geometric Analysis 6 Izvestiya: Mathematics 6 Geometry & Topology 6 Forum of Mathematics, Sigma 6 Research in the Mathematical Sciences 5 Journal of Number Theory 5 Rendiconti del Seminario Matematico della Università di Padova 5 Selecta Mathematica. New Series 5 Annals of Mathematics. Second Series 5 Journal of High Energy Physics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Publications Mathématiques 4 Memoirs of the American Mathematical Society 4 Siberian Mathematical Journal 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of the European Mathematical Society (JEMS) 4 Journal of the Institute of Mathematics of Jussieu 4 Tunisian Journal of Mathematics 3 Communications in Mathematical Physics 3 Mathematics of Computation 3 Journal of Geometry and Physics 3 Geometriae Dedicata 3 Journal of Functional Analysis 3 Mathematische Nachrichten 3 Michigan Mathematical Journal 3 \(K\)-Theory 3 Geometric and Functional Analysis. GAFA 3 Documenta Mathematica 3 International Journal of Number Theory 3 Algebra & Number Theory 3 Japanese Journal of Mathematics. 3rd Series 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Pacific Journal of Mathematics 2 Topology and its Applications 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Algebraic & Geometric Topology 2 Oberwolfach Reports 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Journal of Topology 2 Journal of Topology and Analysis 2 Journal of Singularities 2 Kyoto Journal of Mathematics 1 International Journal of Modern Physics A 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of Soviet Mathematics 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Annals of Global Analysis and Geometry 1 Forum Mathematicum 1 Sugaku Expositions 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Calculus of Variations and Partial Differential Equations 1 Journal of Lie Theory 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China ...and 12 more Serials all top 5 Cited in 37 Fields 394 Algebraic geometry (14-XX) 152 Several complex variables and analytic spaces (32-XX) 97 Number theory (11-XX) 58 Differential geometry (53-XX) 56 Global analysis, analysis on manifolds (58-XX) 41 Algebraic topology (55-XX) 35 Manifolds and cell complexes (57-XX) 27 Topological groups, Lie groups (22-XX) 20 Group theory and generalizations (20-XX) 19 \(K\)-theory (19-XX) 18 Category theory; homological algebra (18-XX) 11 Quantum theory (81-XX) 9 Partial differential equations (35-XX) 8 Nonassociative rings and algebras (17-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 5 Functions of a complex variable (30-XX) 5 Functional analysis (46-XX) 5 Relativity and gravitational theory (83-XX) 4 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.