Edit Profile (opens in new tab) Hauser, Herwig Compute Distance To: Compute Author ID: hauser.herwig Published as: Hauser, Herwig; Hauser, H. Homepage: https://homepage.univie.ac.at/herwig.hauser/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 57 Publications since 1983 2 Contributions as Editor Co-Authors: 32 Co-Authors with 39 Joint Publications 709 Co-Co-Authors all top 5 Co-Authors 20 single-authored 14 Müller, Gerd 4 Schicho, Josef 2 Alonso, Mariemi E. 2 Castro-Jiménez, Francisco Jesús 2 Koutschan, Christoph 2 Perlega, Stefan 2 Risler, Jean-Jacques 1 Bodnár, Gábor 1 Bruschek, Clemens 1 Čap, Andreas 1 Chiu, Christopher 1 Ellwood, David Alexandre 1 Encinas, Santiago 1 Faber, Eleonore 1 Feichtinger, Hans Georg 1 Fritz, Alexandra 1 Gaffney, Terence 1 Gann, Sebastian 1 Lamel, Bernhard 1 Lipman, Joseph 1 Mori, Shigefumi 1 Narváez-Macarro, Luis 1 Oort, Frans 1 Quirós Gracián, Adolfo 1 Randell, Richard C. 1 Regensburger, Georg 1 Sigmund, Karl 1 Teissier, Bernard 1 Teschl, Gerald 1 Villamayor Uriburu, Orlando Eugenio 1 Wagner, Dominique 1 Woblistin, Sebastian all top 5 Serials 8 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 L’Enseignement Mathématique. 2e Série 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Discrete Mathematics 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Journal of Symbolic Computation 1 Internationale Mathematische Nachrichten 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences. University of Tokyo 1 The Asian Journal of Mathematics 1 Foundations of Computational Mathematics 1 Progress in Mathematics 1 Clay Mathematics Proceedings 1 Forum of Mathematics, Sigma all top 5 Fields 43 Algebraic geometry (14-XX) 37 Several complex variables and analytic spaces (32-XX) 15 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Field theory and polynomials (12-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 247 times in 165 Documents Cited by ▼ Year ▼ Strong resolution of singularities in characteristic zero. Zbl 1059.14022Encinas, Santiago; Hauser, Herwig 44 2002 The Hironaka theorem on resolution of singularities (or: A proof we always wanted to understand). Zbl 1030.14007Hauser, Herwig 42 2003 On the problem of resolution of singularities in positive characteristic (Or: a proof we are still waiting for). Zbl 1185.14011Hauser, Herwig 14 2010 Affine varieties and Lie algebras of vector fields. Zbl 0805.14004Hauser, Herwig; Müller, Gerd 12 1993 La construction de la déformation semi-universelle d’un germe de variété analytique complexe. (Construction of semi-universal deformations of germs of complex analytic varieties). Zbl 0583.32052Hauser, Herwig 10 1985 A rank theorem for analytic maps between power series spaces. Zbl 0831.58008Hauser, Herwig; Müller, Gerd 9 1995 Characterizing singularities of varieties and of mappings. Zbl 0627.14004Gaffney, Terence; Hauser, Herwig 9 1985 Arcs, cords, and felts – six instances of the linearization principle. Zbl 1210.14009Bruschek, Clemens; Hauser, Herwig 9 2010 Seventeen obstacles for resolution of singularities. Zbl 0978.14010Hauser, Herwig 7 1998 Today’s menu: geometry and resolution of singular algebraic surfaces. Zbl 1235.14016Faber, E.; Hauser, Herwig 7 2010 The trivial locus of an analytic map germ. Zbl 0678.32013Hauser, H.; Müller, G. 6 1989 Excellent surfaces and their taut resolution. Zbl 0979.14007Hauser, Herwig 6 2000 The classical Artin approximation theorems. Zbl 1377.13001Hauser, Herwig 5 2017 Alternative invariants for the embedded resolution of purely inseparable surface singularities. Zbl 1315.14049Hauser, Herwig; Wagner, Dominique 5 2014 The reduced Bautin index of planar vector fields. Zbl 0947.34013Hauser, H.; Risler, J.-J.; Teissier, B. 5 1999 Algebraic singularities have maximal reductive automorphism groups. Zbl 0649.32010Hauser, Herwig; Müller, Gerd 4 1989 Analytic curves in power series rings. Zbl 0721.32003Hauser, Herwig; Müller, Gerd 4 1990 Perfect bases for differential equations. Zbl 1131.12003Gann, Sebastian; Hauser, Herwig 4 2005 Three power series techniques. Zbl 1065.14019Hauser, Herwig 4 2004 Cycles of singularities appearing in the resolution problem in positive characteristic. Zbl 1436.14032Hauser, Herwig; Perlega, Stefan 4 2019 On the Lie algebra \(\Theta(X)\) of vector fields on a singularity. Zbl 0812.32018Hauser, Herwig; Müller, Gerd 3 1994 Encoding algebraic power series. Zbl 1406.13032Alonso, M. E.; Castro-Jiménez, F. J.; Hauser, Herwig 3 2018 Seven short stories on blowups and resolutions. Zbl 1105.14014Hauser, Herwig 3 2006 The cancellation property for direct products of analytic space germs. Zbl 0702.32008Hauser, Herwig; Müller, Gerd 3 1990 Plain varieties. Zbl 1159.14007Bodnár, Gábor; Hauser, Herwig; Schicho, Josef; Villamayor U., Orlando 3 2008 Automorphism groups in local analytic geometry, infinite dimensional rank theorem and Lie groups. Zbl 0744.32017Hauser, Herwig; Müller, Gerd 2 1991 Echelons of power series and Gabrielov’s counterexample to nested linear Artin approximation. Zbl 1400.32001Alonso, Mariemi E.; Castro-Jiménez, Francisco J.; Hauser, Herwig; Koutschan, Christoph 2 2018 Analytic varieties versus integral varieties of Lie algebras of vector fields. Zbl 0762.32004Hauser, Herwig; Müller, Gerd 2 1992 A game for the resolution of singularities. Zbl 1264.14004Hauser, Herwig; Schicho, Josef 2 2012 Continuous division of differential operators. Zbl 0977.32009Hauser, Herwig; Narváez-Macarro, Luis 2 2001 Report on the problem session. Zbl 0673.32001Hauser, H.; Randell, R. 1 1989 The Lie algebra of polynomial vector fields and the Jacobian conjecture. Zbl 0932.17025Hauser, Herwig; Müller, Gerd 1 1998 Blowups and resolution. Zbl 1331.14021Hauser, Herwig 1 2014 Multivariate linear recurrences and power series division. Zbl 1254.05017Hauser, Herwig; Koutschan, Christoph 1 2012 Forty questions on singularities of algebraic varieties. Zbl 1243.14004Hauser, Herwig; Schicho, Josef 1 2011 Explicit resolution of plane curve singularities in arbitrary characteristic. (Explizite Auflösung von ebenen Kurvensingularitáten in beliebiger Charakteristik.) Zbl 1081.14041Hauser, Herwig; Regensburger, Georg 1 2004 Characterizing the increase of the residual order under blowup in positive characteristic. Zbl 1444.14008Hauser, Herwig; Perlega, Stefan 1 2019 An algorithm of construction of the semiuniversal deformation of an isolated singularity. Zbl 0523.58012Hauser, Herwig 1 1983 Resolution of singularities 1860–1999. Zbl 0959.14001Hauser, Herwig 1 2000 Derivations and invariant real ideals. (Dérivations et idéaux réels invariants.) Zbl 0984.32004Hauser, Herwig; Risler, Jean-Jacques 1 1999 Platonic stars. Zbl 1242.14035Fritz, Alexandra; Hauser, Herwig 1 2010 Arquile varieties – varieties consisting of power series in a single variable. Zbl 1478.13046Hauser, Herwig; Woblistin, Sebastian 1 2021 Arquile varieties – varieties consisting of power series in a single variable. Zbl 1478.13046Hauser, Herwig; Woblistin, Sebastian 1 2021 Cycles of singularities appearing in the resolution problem in positive characteristic. Zbl 1436.14032Hauser, Herwig; Perlega, Stefan 4 2019 Characterizing the increase of the residual order under blowup in positive characteristic. Zbl 1444.14008Hauser, Herwig; Perlega, Stefan 1 2019 Encoding algebraic power series. Zbl 1406.13032Alonso, M. E.; Castro-Jiménez, F. J.; Hauser, Herwig 3 2018 Echelons of power series and Gabrielov’s counterexample to nested linear Artin approximation. Zbl 1400.32001Alonso, Mariemi E.; Castro-Jiménez, Francisco J.; Hauser, Herwig; Koutschan, Christoph 2 2018 The classical Artin approximation theorems. Zbl 1377.13001Hauser, Herwig 5 2017 Alternative invariants for the embedded resolution of purely inseparable surface singularities. Zbl 1315.14049Hauser, Herwig; Wagner, Dominique 5 2014 Blowups and resolution. Zbl 1331.14021Hauser, Herwig 1 2014 A game for the resolution of singularities. Zbl 1264.14004Hauser, Herwig; Schicho, Josef 2 2012 Multivariate linear recurrences and power series division. Zbl 1254.05017Hauser, Herwig; Koutschan, Christoph 1 2012 Forty questions on singularities of algebraic varieties. Zbl 1243.14004Hauser, Herwig; Schicho, Josef 1 2011 On the problem of resolution of singularities in positive characteristic (Or: a proof we are still waiting for). Zbl 1185.14011Hauser, Herwig 14 2010 Arcs, cords, and felts – six instances of the linearization principle. Zbl 1210.14009Bruschek, Clemens; Hauser, Herwig 9 2010 Today’s menu: geometry and resolution of singular algebraic surfaces. Zbl 1235.14016Faber, E.; Hauser, Herwig 7 2010 Platonic stars. Zbl 1242.14035Fritz, Alexandra; Hauser, Herwig 1 2010 Plain varieties. Zbl 1159.14007Bodnár, Gábor; Hauser, Herwig; Schicho, Josef; Villamayor U., Orlando 3 2008 Seven short stories on blowups and resolutions. Zbl 1105.14014Hauser, Herwig 3 2006 Perfect bases for differential equations. Zbl 1131.12003Gann, Sebastian; Hauser, Herwig 4 2005 Three power series techniques. Zbl 1065.14019Hauser, Herwig 4 2004 Explicit resolution of plane curve singularities in arbitrary characteristic. (Explizite Auflösung von ebenen Kurvensingularitáten in beliebiger Charakteristik.) Zbl 1081.14041Hauser, Herwig; Regensburger, Georg 1 2004 The Hironaka theorem on resolution of singularities (or: A proof we always wanted to understand). Zbl 1030.14007Hauser, Herwig 42 2003 Strong resolution of singularities in characteristic zero. Zbl 1059.14022Encinas, Santiago; Hauser, Herwig 44 2002 Continuous division of differential operators. Zbl 0977.32009Hauser, Herwig; Narváez-Macarro, Luis 2 2001 Excellent surfaces and their taut resolution. Zbl 0979.14007Hauser, Herwig 6 2000 Resolution of singularities 1860–1999. Zbl 0959.14001Hauser, Herwig 1 2000 The reduced Bautin index of planar vector fields. Zbl 0947.34013Hauser, H.; Risler, J.-J.; Teissier, B. 5 1999 Derivations and invariant real ideals. (Dérivations et idéaux réels invariants.) Zbl 0984.32004Hauser, Herwig; Risler, Jean-Jacques 1 1999 Seventeen obstacles for resolution of singularities. Zbl 0978.14010Hauser, Herwig 7 1998 The Lie algebra of polynomial vector fields and the Jacobian conjecture. Zbl 0932.17025Hauser, Herwig; Müller, Gerd 1 1998 A rank theorem for analytic maps between power series spaces. Zbl 0831.58008Hauser, Herwig; Müller, Gerd 9 1995 On the Lie algebra \(\Theta(X)\) of vector fields on a singularity. Zbl 0812.32018Hauser, Herwig; Müller, Gerd 3 1994 Affine varieties and Lie algebras of vector fields. Zbl 0805.14004Hauser, Herwig; Müller, Gerd 12 1993 Analytic varieties versus integral varieties of Lie algebras of vector fields. Zbl 0762.32004Hauser, Herwig; Müller, Gerd 2 1992 Automorphism groups in local analytic geometry, infinite dimensional rank theorem and Lie groups. Zbl 0744.32017Hauser, Herwig; Müller, Gerd 2 1991 Analytic curves in power series rings. Zbl 0721.32003Hauser, Herwig; Müller, Gerd 4 1990 The cancellation property for direct products of analytic space germs. Zbl 0702.32008Hauser, Herwig; Müller, Gerd 3 1990 The trivial locus of an analytic map germ. Zbl 0678.32013Hauser, H.; Müller, G. 6 1989 Algebraic singularities have maximal reductive automorphism groups. Zbl 0649.32010Hauser, Herwig; Müller, Gerd 4 1989 Report on the problem session. Zbl 0673.32001Hauser, H.; Randell, R. 1 1989 La construction de la déformation semi-universelle d’un germe de variété analytique complexe. (Construction of semi-universal deformations of germs of complex analytic varieties). Zbl 0583.32052Hauser, Herwig 10 1985 Characterizing singularities of varieties and of mappings. Zbl 0627.14004Gaffney, Terence; Hauser, Herwig 9 1985 An algorithm of construction of the semiuniversal deformation of an isolated singularity. Zbl 0523.58012Hauser, Herwig 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 176 Authors 26 Hauser, Herwig 10 Villamayor Uriburu, Orlando Eugenio 8 Müller, Gerd 8 Ruppenthal, Jean 6 Encinas, Santiago 5 Bravo, Ana María 5 Nobile, Augusto 4 Blanco, Rocío 4 Cutkosky, Steven Dale 4 Faber, Eleonore 4 Frühbis-Krüger, Anne 3 Ahmadian, Razieh 3 Bodnár, Gábor 3 Böhm, Janko 3 Bourqui, David 3 García, Isaac A. 3 Schicho, Josef 3 Schober, Bernd 3 Sebag, Julien 2 Bei, Francesco 2 Benito, Angélica 2 Bivià-Ausina, Carles 2 Buchweitz, Ragnar-Olaf 2 Chiu, Christopher 2 Cossart, Vincent 2 Grabowski, Janusz 2 Markwig, Thomas 2 Mebkhout, Zoghman 2 Narváez-Macarro, Luis 2 Perlega, Stefan 2 Poncin, Norbert 2 Risler, Jean-Jacques 2 Ristau, Lukas 2 Schulze, Mathias 2 Teissier, Bernard 2 Tornero, José María 1 Abramovich, Dan 1 Adamus, Janusz 1 Alonso, Mariemi E. 1 Arjevani, Yossi 1 Beck, Tobias 1 Belitskii, Genrich R. 1 Bickel, Kelly 1 Brav, Christopher 1 Brudnyi, Alexander 1 Bruschek, Clemens 1 Bühlmann, Peter 1 Bussi, Vittoria 1 Castro-Jiménez, Francisco Jesús 1 Cheltsov, Ivan Anatol’evich 1 Chen, Bingyi 1 Cobo Pablos, Helena 1 Conti, Riccardo 1 de Fernex, Tommaso 1 de Graaf, Willem Adriaan 1 de Moraes, Michael 1 Decker, Wolfram 1 Della Vedova, Alberto 1 Demeio, Julian Lawrence 1 Docampo, Roi 1 Dupont, Delphine 1 Epure, Raul 1 Feehan, Paul M. N. 1 Field, Michael J. 1 Gaffney, Terence 1 Gann, Sebastian 1 Ganter, Frieda Marshall 1 Georgoudis, Alessandro 1 Gille, Philippe 1 Granger, Michel 1 Greb, Daniel 1 Greuel, Gert-Martin 1 Grieser, Daniel 1 Guibert, Gil 1 Gurjar, Rajendra Vasant 1 Hales, Thomas Callister 1 Harrison, Michael C. 1 Hashemi, Amir 1 Hassett, Brendan 1 Hussain, Naveed 1 Hyeon, Donghoon David 1 Ibadula, Denis 1 Ingalls, Colin 1 Joyce, Dominic David 1 Kaledin, Dmitry B. 1 Kawanoue, Hiraku 1 Kebekus, Stefan 1 Kedlaya, Kiran Sridhara 1 Kerner, Dmitry 1 Kollár, János 1 Koutschan, Christoph 1 Kovács, Sándor J. 1 Kühnel, Wolfgang 1 Lari-Lavassani, Ali 1 Larsen, Kasper J. 1 Leichtnam, Eric 1 León-Cardenal, Edwin 1 Lin, Shaowei 1 Liu, Genqiang 1 Llibre, Jaume ...and 76 more Authors all top 5 Cited in 80 Serials 11 Journal of Symbolic Computation 8 Journal of Algebra 7 Journal of Pure and Applied Algebra 6 Advances in Mathematics 6 Mathematische Annalen 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Bulletin of the American Mathematical Society. New Series 5 Manuscripta Mathematica 5 Transactions of the American Mathematical Society 4 Annales de l’Institut Fourier 4 Proceedings of the American Mathematical Society 4 Revista Matemática Iberoamericana 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Publications Mathématiques 3 Mathematische Zeitschrift 3 Foundations of Computational Mathematics 2 Communications in Algebra 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Physica D 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 The Ramanujan Journal 1 Geometry & Topology 1 Acta Mathematica Sinica. English Series 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 Confluentes Mathematici 1 Journal of Singularities 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 European Journal of Mathematics 1 Winter Braids Lecture Notes all top 5 Cited in 28 Fields 116 Algebraic geometry (14-XX) 55 Several complex variables and analytic spaces (32-XX) 32 Commutative algebra (13-XX) 13 Nonassociative rings and algebras (17-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 5 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 Topological groups, Lie groups (22-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-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.