Edit Profile (opens in new tab) de Cataldo, Mark Andrea A. Co-Author Distance Author ID: de-cataldo.mark-andrea-a Published as: de Cataldo, Mark Andrea A.; de Cataldo, Mark Andrea; De Cataldo, Mark Andrea A.; De Cataldo, Mark Andrea; De Cataldo, M. A. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 55 Publications since 1989, including 1 Book and 6 Additional arXiv Preprints Co-Authors: 15 Co-Authors with 32 Joint Publications 249 Co-Co-Authors all top 5 Co-Authors 23 single-authored 19 Migliorini, Luca 5 Zhang, Siqing 4 Maulik, Davesh 3 Shen, Junliang 2 Fernandez Herrero, Andres 2 Hausel, Tamás 2 Palleschi, Marino 1 Gröchenig, Michael 1 Haines, Thomas J. 1 Heinloth, Jochen 1 Ibáñez Núñez, Andrés 1 Li, Li 1 Mustaţă, Mircea 1 Rapagnetta, Antonio 1 Saccà, Giulia all top 5 Serials 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Singularities 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Algebra 2 IMRN. International Mathematics Research Notices 2 Mathematical Research Letters 2 Annals of Mathematics. Second Series 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Rivista di Matematica della Università di Parma. Serie IV 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Pure and Applied Mathematics Quarterly 1 Algebraic Geometry all top 5 Fields 50 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 2 Category theory; homological algebra (18-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 498 times in 296 Documents Cited by ▼ Year ▼ The decomposition theorem, perverse sheaves and the topology of algebraic maps. Zbl 1181.14001 de Cataldo, Mark Andrea A.; Migliorini, Luca 87 2009 Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\). Zbl 1375.14047 De Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca 58 2012 The Hodge theory of algebraic maps. Zbl 1094.14005 de Cataldo, Mark Andrea A.; Migliorini, Luca 54 2005 The Chow groups and the motive of the Hilbert scheme of points on a surface. Zbl 1033.14004 de Cataldo, Mark Andrea A.; Migliorini, Luca 38 2002 The hard Lefschetz theorem and the topology of semismall maps. Zbl 1021.14004 de Cataldo, Mark Andrea A.; Migliorini, Luca 37 2002 The perverse filtration and the Lefschetz hyperplane theorem. Zbl 1213.14017 De Cataldo, Mark Andrea A.; Migliorini, Luca 20 2010 Singular hermitian metrics on vector bundles. Zbl 0902.32012 de Cataldo, Mark Andrea A. 19 1998 Combinatorics and topology of proper toric maps. Zbl 1408.14159 de Cataldo, Mark Andrea; Migliorini, Luca; Mustaţă, Mircea 17 2018 The Chow motive of semismall resolutions. Zbl 1073.14010 de Cataldo, Mark Andrea A.; Migliorini, Luca 14 2004 The Douady space of a complex surface. Zbl 0991.32006 de Cataldo, Mark Andrea A.; Migliorini, Luca 13 2000 The Hodge numbers of O’Grady 10 via Ngô strings. Zbl 1483.14071 de Cataldo, Mark Andrea A.; Rapagnetta, Antonio; Saccà, Giulia 13 2021 Hitchin fibrations, abelian surfaces, and the \(P=W\) conjecture. Zbl 1523.14061 De Cataldo, Mark Andrea; Maulik, Davesh; Shen, Junliang 12 2022 The perverse filtration and the Lefschetz hyperplane theorem. II. Zbl 1273.14043 De Cataldo, Mark Andrea A. 10 2012 Hodge-theoretic aspects of the decomposition theorem. Zbl 1207.14016 de Cataldo, Mark Andrea A.; Migliorini, Luca 10 2009 Intersection forms, topology of maps and motivic decomposition for resolutions of threefolds. Zbl 1131.14015 de Cataldo, Mark Andrea A.; Migliorini, Luca 8 2007 Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Zbl 1304.14011 de Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca 8 2013 A support theorem for the Hitchin fibration: the case of \(\mathrm{SL}_{n}\). Zbl 1453.14029 de Cataldo, Mark Andrea 8 2017 Perverse sheaves and the topology of algebraic varieties. Zbl 1439.14060 de Cataldo, Mark Andrea 6 2017 Decomposition theorem for semi-simples. Zbl 1366.13009 de Cataldo, Mark Andrea 6 2016 Frobenius semisimplicity for convolution morphisms. Zbl 1408.14067 de Cataldo, Mark Andrea; Haines, Thomas J.; Li, Li 6 2018 Effective nonvanishing, effective global generation. Zbl 0934.14002 de Cataldo, Mark Andrea A. 5 1998 A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics. Zbl 0874.14045 de Cataldo, Mark Andrea A. 5 1997 Projective compactification of Dolbeault moduli spaces. Zbl 1474.14073 de Cataldo, Mark Andrea A. 5 2021 The Gysin map is compatible with mixed Hodge structures. Zbl 1084.14010 de Cataldo, Mark Andrea A.; Migliorini, Luca 4 2004 Proper toric maps over finite fields. Zbl 1349.14091 De Cataldo, Mark Andrea A. 4 2015 The perverse filtration for the Hitchin fibration is locally constant. Zbl 1469.14018 de Cataldo, Mark Andrea A.; Maulik, Davesh 4 2020 What is …a perverse sheaf? Zbl 1194.14024 de Cataldo, Mark Andrea; Migliorini, Luca 3 2010 Hilbert schemes of a surface and Euler characteristics. Zbl 1058.14008 de Cataldo, Mark Andrea A. 3 2000 The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem. Zbl 1184.14029 de Cataldo, Mark Andrea A. 3 2009 Hodge-theoretic splitting mechanisms for projective maps. Zbl 1317.14045 de Cataldo, Mark Andrea A. 3 2013 Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. Zbl 0943.14006 de Cataldo, Mark Andrea A. 2 1999 On singularities of primitive cohomology classes. Zbl 1174.14011 de Cataldo, Mark Andrea A.; Migliorini, Luca 2 2009 The projectors of the decomposition theorem are motivated. Zbl 1348.14016 de Cataldo, Mark Andrea; Migliorini, Luca 2 2015 The Hodge theory of maps. Zbl 1321.14012 de Cataldo, Mark Andrea; Migliorini, Luca 2 2014 A support theorem for the Hitchin fibration: the case of \(\operatorname{GL}_n\) and \(K_C\). Zbl 1476.14068 de Cataldo, Mark Andrea A.; Heinloth, Jochen; Migliorini, Luca 2 2021 Perverse Leray filtration and specialisation with applications to the Hitchin morphism. Zbl 1491.14019 De Cataldo, Mark Andrea A. 2 2022 The Hodge theory of projective manifolds. Zbl 1124.14002 de Cataldo, Mark Andrea 1 2007 Projective completion of moduli of \(t\)-connections on curves in positive and mixed characteristic. Zbl 1493.14012 de Cataldo, Mark Andrea A.; Zhang, Siqing 1 2022 A cohomological nonabelian Hodge theorem in positive characteristic. Zbl 1507.14049 de Cataldo, Mark Andrea; Zhang, Siqing 1 2022 Hitchin fibrations, abelian surfaces, and the \(P=W\) conjecture. Zbl 1523.14061 De Cataldo, Mark Andrea; Maulik, Davesh; Shen, Junliang 12 2022 Perverse Leray filtration and specialisation with applications to the Hitchin morphism. Zbl 1491.14019 De Cataldo, Mark Andrea A. 2 2022 Projective completion of moduli of \(t\)-connections on curves in positive and mixed characteristic. Zbl 1493.14012 de Cataldo, Mark Andrea A.; Zhang, Siqing 1 2022 A cohomological nonabelian Hodge theorem in positive characteristic. Zbl 1507.14049 de Cataldo, Mark Andrea; Zhang, Siqing 1 2022 The Hodge numbers of O’Grady 10 via Ngô strings. Zbl 1483.14071 de Cataldo, Mark Andrea A.; Rapagnetta, Antonio; Saccà, Giulia 13 2021 Projective compactification of Dolbeault moduli spaces. Zbl 1474.14073 de Cataldo, Mark Andrea A. 5 2021 A support theorem for the Hitchin fibration: the case of \(\operatorname{GL}_n\) and \(K_C\). Zbl 1476.14068 de Cataldo, Mark Andrea A.; Heinloth, Jochen; Migliorini, Luca 2 2021 The perverse filtration for the Hitchin fibration is locally constant. Zbl 1469.14018 de Cataldo, Mark Andrea A.; Maulik, Davesh 4 2020 Combinatorics and topology of proper toric maps. Zbl 1408.14159 de Cataldo, Mark Andrea; Migliorini, Luca; Mustaţă, Mircea 17 2018 Frobenius semisimplicity for convolution morphisms. Zbl 1408.14067 de Cataldo, Mark Andrea; Haines, Thomas J.; Li, Li 6 2018 A support theorem for the Hitchin fibration: the case of \(\mathrm{SL}_{n}\). Zbl 1453.14029 de Cataldo, Mark Andrea 8 2017 Perverse sheaves and the topology of algebraic varieties. Zbl 1439.14060 de Cataldo, Mark Andrea 6 2017 Decomposition theorem for semi-simples. Zbl 1366.13009 de Cataldo, Mark Andrea 6 2016 Proper toric maps over finite fields. Zbl 1349.14091 De Cataldo, Mark Andrea A. 4 2015 The projectors of the decomposition theorem are motivated. Zbl 1348.14016 de Cataldo, Mark Andrea; Migliorini, Luca 2 2015 The Hodge theory of maps. Zbl 1321.14012 de Cataldo, Mark Andrea; Migliorini, Luca 2 2014 Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Zbl 1304.14011 de Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca 8 2013 Hodge-theoretic splitting mechanisms for projective maps. Zbl 1317.14045 de Cataldo, Mark Andrea A. 3 2013 Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\). Zbl 1375.14047 De Cataldo, Mark Andrea A.; Hausel, Tamás; Migliorini, Luca 58 2012 The perverse filtration and the Lefschetz hyperplane theorem. II. Zbl 1273.14043 De Cataldo, Mark Andrea A. 10 2012 The perverse filtration and the Lefschetz hyperplane theorem. Zbl 1213.14017 De Cataldo, Mark Andrea A.; Migliorini, Luca 20 2010 What is …a perverse sheaf? Zbl 1194.14024 de Cataldo, Mark Andrea; Migliorini, Luca 3 2010 The decomposition theorem, perverse sheaves and the topology of algebraic maps. Zbl 1181.14001 de Cataldo, Mark Andrea A.; Migliorini, Luca 87 2009 Hodge-theoretic aspects of the decomposition theorem. Zbl 1207.14016 de Cataldo, Mark Andrea A.; Migliorini, Luca 10 2009 The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem. Zbl 1184.14029 de Cataldo, Mark Andrea A. 3 2009 On singularities of primitive cohomology classes. Zbl 1174.14011 de Cataldo, Mark Andrea A.; Migliorini, Luca 2 2009 Intersection forms, topology of maps and motivic decomposition for resolutions of threefolds. Zbl 1131.14015 de Cataldo, Mark Andrea A.; Migliorini, Luca 8 2007 The Hodge theory of projective manifolds. Zbl 1124.14002 de Cataldo, Mark Andrea 1 2007 The Hodge theory of algebraic maps. Zbl 1094.14005 de Cataldo, Mark Andrea A.; Migliorini, Luca 54 2005 The Chow motive of semismall resolutions. Zbl 1073.14010 de Cataldo, Mark Andrea A.; Migliorini, Luca 14 2004 The Gysin map is compatible with mixed Hodge structures. Zbl 1084.14010 de Cataldo, Mark Andrea A.; Migliorini, Luca 4 2004 The Chow groups and the motive of the Hilbert scheme of points on a surface. Zbl 1033.14004 de Cataldo, Mark Andrea A.; Migliorini, Luca 38 2002 The hard Lefschetz theorem and the topology of semismall maps. Zbl 1021.14004 de Cataldo, Mark Andrea A.; Migliorini, Luca 37 2002 The Douady space of a complex surface. Zbl 0991.32006 de Cataldo, Mark Andrea A.; Migliorini, Luca 13 2000 Hilbert schemes of a surface and Euler characteristics. Zbl 1058.14008 de Cataldo, Mark Andrea A. 3 2000 Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. Zbl 0943.14006 de Cataldo, Mark Andrea A. 2 1999 Singular hermitian metrics on vector bundles. Zbl 0902.32012 de Cataldo, Mark Andrea A. 19 1998 Effective nonvanishing, effective global generation. Zbl 0934.14002 de Cataldo, Mark Andrea A. 5 1998 A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics. Zbl 0874.14045 de Cataldo, Mark Andrea A. 5 1997 all cited Publications top 5 cited Publications all top 5 Cited by 334 Authors 19 de Cataldo, Mark Andrea A. 16 Laterveer, Robert 13 Williamson, Geordie 12 Migliorini, Luca 9 Shen, Junliang 8 Di Gennaro, Vincenzo 8 Franco, Davide 7 Maulik, Davesh 6 Fu, Lie 6 Maxim, Laurentiu G. 6 Vial, Charles 5 Liu, Yongqiang 5 Mauri, Mirko 5 Wang, Botong 4 Elias, Benjamin 4 Hausel, Tamás 4 Yin, Qizheng 3 Agustin Vicente, Marta 3 Arapura, Donu 3 Budur, Nero 3 Ciliberto, Ciro 3 Davison, Ben 3 Diaconescu, Duiliu-Emanuel 3 Donagi, Ron Y. 3 Dutta, Yajnaseni 3 Felisetti, Camilla 3 Haines, Thomas J. 3 Harder, Andrew 3 Huh, June 3 Katzarkov, Ludmil 3 Li, Li 3 Nonkané, Ibrahim 3 Oberdieck, Georg 3 Pantev, Tony G. 3 Paun, Mihai 3 Pearlstein, Gregory J. 3 Proudfoot, Nicholas J. 3 Reede, Fabian 3 Richarz, Timo 3 Saccà, Giulia 3 Sessa, Carmine 3 Stapledon, Alan 3 Webster, Ben 3 Zhang, Siqing 2 Baraglia, David 2 Berndtsson, Bo 2 Braden, Tom 2 Brasselet, Jean-Paul 2 Brosnan, Patrick 2 Chuang, Wu-yen 2 Ciappara, Joshua 2 Cioffi, Francesca 2 Flapan, Laure 2 Floccari, Salvatore 2 Franco, Emilio 2 Green, Mark Lee 2 Heinloth, Jochen 2 Hellmann, Isabell 2 Huybrechts, Daniel 2 Inayama, Takahiro 2 Juteau, Daniel 2 Katz, Eric 2 Kivinen, Oscar 2 Komyo, Arata 2 Langlois, Kevin 2 Laza, Radu 2 Li, Zhiyuan 2 Logares, Marina 2 Meinhardt, Sven 2 Muñoz Velázquez, Vicente 2 Murayama, Takumi 2 Mustaţă, Mircea 2 Nadler, David 2 Negut, Andrei 2 Patimo, Leonardo 2 Payne, Sam 2 Popa, Mihnea 2 Przhiyalkovskiĭ, Viktor Vladimirovich 2 Raicu, Claudiu 2 Riche, Simon 2 Schürmann, Jörg 2 Shen, Mingmin 2 Shende, Vivek Vijay 2 Simpson, Carlos Tschudi 2 Szabo, Szilard 2 Tian, Zhiyu 2 Toda, Yukinobu 2 Wildeshaus, Jörg 2 Wong, Michael Lennox 1 Adiprasito, Karim Alexander 1 Ardila, Federico 1 Arnal, Charles 1 Arrondo, Enrique 1 Asok, Aravind 1 Bai, Chenyu 1 Baird, Thomas John 1 Ballandras, Mathieu 1 Barros, Ignacio 1 Bazhov, Ivan 1 Bejleri, Dori ...and 234 more Authors all top 5 Cited in 102 Serials 18 Advances in Mathematics 13 Selecta Mathematica. New Series 10 Duke Mathematical Journal 10 Mathematische Zeitschrift 10 Transactions of the American Mathematical Society 8 Journal of Algebra 7 Compositio Mathematica 7 Manuscripta Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Mathematische Annalen 6 International Journal of Mathematics 6 Geometry & Topology 6 Journal of the Institute of Mathematics of Jussieu 6 Forum of Mathematics, Sigma 5 Journal of Pure and Applied Algebra 5 Journal of the American Mathematical Society 5 European Journal of Mathematics 4 Communications in Mathematical Physics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Inventiones Mathematicae 4 Proceedings of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Algebraic Geometry 4 Annals of Mathematics. Second Series 3 Communications in Algebra 3 Annales de l’Institut Fourier 3 Glasgow Mathematical Journal 3 Mathematische Nachrichten 3 Documenta Mathematica 3 Transformation Groups 3 Journal of the European Mathematical Society (JEMS) 3 Advances in Geometry 3 Milan Journal of Mathematics 3 Oberwolfach Reports 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin of the London Mathematical Society 2 Journal of Differential Geometry 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Forum Mathematicum 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Revista Matemática Complutense 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Singularities 2 Annales Mathématiques du Québec 2 Research in the Mathematical Sciences 2 Journal de l’École Polytechnique – Mathématiques 2 Bollettino dell’Unione Matematica Italiana 2 Algebraic Combinatorics 1 Communications on Pure and Applied Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Journal of Symbolic Computation 1 Numerical Algorithms 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Knot Theory and its Ramifications 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Annals of Combinatorics 1 Communications in Contemporary Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proyecciones 1 Algebra & Number Theory 1 Journal of Topology 1 Science China. Mathematics 1 Afrika Matematika 1 Forum of Mathematics, Pi 1 EMS Surveys in Mathematical Sciences 1 Complex Manifolds 1 Annals of \(K\)-Theory 1 Tunisian Journal of Mathematics ...and 2 more Serials all top 5 Cited in 28 Fields 260 Algebraic geometry (14-XX) 68 Several complex variables and analytic spaces (32-XX) 40 Group theory and generalizations (20-XX) 31 Differential geometry (53-XX) 23 Algebraic topology (55-XX) 17 Manifolds and cell complexes (57-XX) 15 Combinatorics (05-XX) 12 Nonassociative rings and algebras (17-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Number theory (11-XX) 10 Category theory; homological algebra (18-XX) 9 Associative rings and algebras (16-XX) 8 Commutative algebra (13-XX) 7 \(K\)-theory (19-XX) 7 Convex and discrete geometry (52-XX) 6 Quantum theory (81-XX) 5 Topological groups, Lie groups (22-XX) 3 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-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.