Edit Profile (opens in new tab) Durfee, Alan H. Co-Author Distance Author ID: durfee.alan-h Published as: Durfee, Alan H.; Durfee, Alan; Durfee, A. H. more...less Documents Indexed: 26 Publications since 1972, including 1 Additional arXiv Preprint 2 Further Contributions Co-Authors: 9 Co-Authors with 6 Joint Publications 281 Co-Co-Authors all top 5 Co-Authors 20 single-authored 2 Lê Dûng Tráng 2 Slodowy, Peter 1 A’Campo, Norbert 1 Brieskorn, Egbert 1 Hain, Richard M. 1 Hotta, Ryoshi 1 Kauffman, Louis Hirsch 1 Kohno, Toshitake 1 Kronenfeld, Nathan 1 Laeri, F. 1 Lawson, Herbert Blaine jun. 1 Lazzeri, Fulvio 1 Looijenga, Eduard J. N. 1 Munson, Heidi 1 Murakami, Shingo 1 Nakamura, Iku 1 Naruki, Isao 1 Ohyanagi, Shigeki 1 Oka, Mutsuo 1 O’Shea, Donal B. 1 Roy, Jeff 1 Saito, Kyoji 1 Saito, Morihiko 1 Sakamoto, Koichi 1 Suzuki, Masahiko 1 Terao, Hiroaki 1 Watanabe, Kei-ichi 1 Watanabe, Kimio 1 Westby, Ina 1 Yano, Tamaki 1 Yoshinaga, Etsuo all top 5 Serials 3 Mathematische Annalen 2 Inventiones Mathematicae 2 Topology 2 L’Enseignement Mathématique. 2e Série 1 American Mathematical Monthly 1 Advances in Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 RIMS Kokyuroku all top 5 Fields 24 Algebraic geometry (14-XX) 14 Manifolds and cell complexes (57-XX) 12 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 348 times in 303 Documents Cited by ▼ Year ▼ Fifteen characterizations of rational double points and simple critical points. Zbl 0418.14020 Durfee, Alan H. 73 1979 Neighborhoods of algebraic sets. Zbl 0529.14013 Durfee, Alan H. 63 1983 The signature of smoothings of complex surface singularities. Zbl 0346.32016 Durfee, Alan H. 38 1978 Fibered knots and algebraic singularities. Zbl 0275.57007 Durfee, Alan H. 31 1974 Mixed Hodge structures on the homotopy of links. Zbl 0617.14012 Durfee, Alan H.; Hain, Richard M. 19 1988 Bilinear and quadratic forms on torsion modules. Zbl 0354.10020 Durfee, Alan H. 16 1977 Periodicity of branched cyclic covers. Zbl 0296.55001 Durfee, Alan; Kauffman, Louis 15 1975 Mixed Hodges structures on punctured neighborhoods. Zbl 0545.14005 Durfee, Alan H. 15 1983 Five definitions of critical point at infinity. Zbl 0919.32021 Durfee, Alan H. 13 1998 Mixed Hodge structures on the intersection cohomology of links. Zbl 0724.14011 Durfee, Alan H.; Saito, Morihiko 12 1990 Intersection homology Betti numbers. Zbl 0832.14013 Durfee, Alan H. 9 1995 Foliations of odd-dimensional spheres. Zbl 0231.57016 Durfee, Alan H. 8 1972 Algebraic varieties which are a disjoint union of subvarieties. Zbl 0611.14007 Durfee, Alan H. 7 1987 Fibered knots and foliations of highly-connected manifolds. Zbl 0231.57015 Durfee, Alan H.; Lawson, H. Blaine jun. 6 1972 A naive guide to mixed Hodge theory. Zbl 0521.14003 Durfee, Alan H. 6 1983 Counting critical points of real polynomials in two variables. Zbl 0785.26009 Durfee, Alan; Kronenfeld, Nathan; Munson, Heidi; Roy, Jeff; Westby, Ina 4 1993 The index of \(\text{grad} f(x,y)\). Zbl 0939.58035 Durfee, Alan H. 3 1998 The characteristic polynomial of the monodromy. Zbl 0288.14002 Durfee, Alan H. 3 1975 Singularities. Zbl 0956.57003 Durfee, Alan H. 2 1999 The monodromy of a degenerating family of curves. Zbl 0278.14010 Durfee, Alan H. 2 1975 Knot invariants of singularities. Zbl 0309.14004 Durfee, Alan H. 1 1975 The low-dimensional topology of singularities. Zbl 0528.57010 Durfee, Alan H. 1 1983 Four characterizations of real rational double points. Zbl 0545.14001 Durfee, Alan H. 1 1984 Singularities. Zbl 0956.57003 Durfee, Alan H. 2 1999 Five definitions of critical point at infinity. Zbl 0919.32021 Durfee, Alan H. 13 1998 The index of \(\text{grad} f(x,y)\). Zbl 0939.58035 Durfee, Alan H. 3 1998 Intersection homology Betti numbers. Zbl 0832.14013 Durfee, Alan H. 9 1995 Counting critical points of real polynomials in two variables. Zbl 0785.26009 Durfee, Alan; Kronenfeld, Nathan; Munson, Heidi; Roy, Jeff; Westby, Ina 4 1993 Mixed Hodge structures on the intersection cohomology of links. Zbl 0724.14011 Durfee, Alan H.; Saito, Morihiko 12 1990 Mixed Hodge structures on the homotopy of links. Zbl 0617.14012 Durfee, Alan H.; Hain, Richard M. 19 1988 Algebraic varieties which are a disjoint union of subvarieties. Zbl 0611.14007 Durfee, Alan H. 7 1987 Four characterizations of real rational double points. Zbl 0545.14001 Durfee, Alan H. 1 1984 Neighborhoods of algebraic sets. Zbl 0529.14013 Durfee, Alan H. 63 1983 Mixed Hodges structures on punctured neighborhoods. Zbl 0545.14005 Durfee, Alan H. 15 1983 A naive guide to mixed Hodge theory. Zbl 0521.14003 Durfee, Alan H. 6 1983 The low-dimensional topology of singularities. Zbl 0528.57010 Durfee, Alan H. 1 1983 Fifteen characterizations of rational double points and simple critical points. Zbl 0418.14020 Durfee, Alan H. 73 1979 The signature of smoothings of complex surface singularities. Zbl 0346.32016 Durfee, Alan H. 38 1978 Bilinear and quadratic forms on torsion modules. Zbl 0354.10020 Durfee, Alan H. 16 1977 Periodicity of branched cyclic covers. Zbl 0296.55001 Durfee, Alan; Kauffman, Louis 15 1975 The characteristic polynomial of the monodromy. Zbl 0288.14002 Durfee, Alan H. 3 1975 The monodromy of a degenerating family of curves. Zbl 0278.14010 Durfee, Alan H. 2 1975 Knot invariants of singularities. Zbl 0309.14004 Durfee, Alan H. 1 1975 Fibered knots and algebraic singularities. Zbl 0275.57007 Durfee, Alan H. 31 1974 Foliations of odd-dimensional spheres. Zbl 0231.57016 Durfee, Alan H. 8 1972 Fibered knots and foliations of highly-connected manifolds. Zbl 0231.57015 Durfee, Alan H.; Lawson, H. Blaine jun. 6 1972 all cited Publications top 5 cited Publications all top 5 Cited by 322 Authors 13 Yau, Stephen Shing-Toung 11 Dutertre, Nicolas 11 Némethi, András 10 Seade, Jose Antonio 9 Durfee, Alan H. 8 Pichon, Anne 8 Zuo, Huaiqing 7 Hain, Richard M. 6 Popescu-Pampu, Patrick 5 Michel, Françoise 5 Saeki, Osamu 5 Suciu, Alexander I. 5 Tibăr, Mihai-Marius 4 Blanlœil, Vincent 4 Dimca, Alexandru 4 Kauffman, Louis Hirsch 4 Libgober, Anatoly S. 4 Mauri, Mirko 4 Saito, Morihiko 4 Urabe, Tohsuke 3 Aguilar-Cabrera, Haydée 3 Cisneros-Molina, José Luis 3 de Cataldo, Mark Andrea A. 3 Deloup, Florian L. 3 Dubois, Philippe 3 Greuel, Gert-Martin 3 Hussain, Naveed 3 Laterveer, Robert 3 Massuyeau, Gwénaël 3 Maxim, Laurentiu G. 3 Migliorini, Luca 3 Morrison, David R. 3 Neumann, Walter David 3 Phạm Tiên So’n 2 A’Campo, Norbert 2 Akyol, Ayşegül 2 Almirón, Patricio 2 Araújo dos Santos, Raimundo Nonato 2 Buchweitz, Ragnar-Olaf 2 Budur, Nero 2 Chataur, David 2 Chen, Ying 2 Cirici, Joana 2 Curmi, Octave 2 Degtyarev, Alex 2 Dias, Luis Renato Gonçalves 2 Ebeling, Wolfgang 2 Faber, Eleonore 2 Fuchs, Dmitry Borisovich 2 Harer, John L. 2 Inaba, Kazumasa 2 Kerner, Dmitry 2 László, Tamás 2 Lawson, Herbert Blaine jun. 2 Lim, Lek-Heng 2 Lin, Ke-Pao 2 Liu, Yongqiang 2 Luo, Xue 2 Markushevich, Dimitri Genrikhovich 2 McCrory, Clint G. 2 Moya-Pérez, Juan Antonio 2 Nagy, János 2 Orlik, Peter 2 Ozbagci, Burak 2 Papadima, Ștefan 2 Prokhorov, Yuriĭ Gennad’evich 2 Qi, Yang 2 Rebollo-Perdomo, Salomón 2 Siersma, Dirk 2 Steenbrink, Joseph H. M. 2 Szczepanski, Susan 2 Valle, Jaime Cuadros 2 Weber, Claude 1 Aguilar, Marcelo A. 1 Andersson, Mats 1 Andrade do Espirito Santo, Antonio 1 Andreatta, Marco 1 Anthes, Ben 1 Arapura, Donu 1 Ashikaga, Tadashi 1 Bailly-Maitre, Gilles 1 Baird, Thomas John 1 Bakhtary, Parsa 1 Ballico, Edoardo 1 Benedetti, Riccardo 1 Bhupal, Mohan 1 Birbrair, Lev 1 Bisgard, James 1 Bloch, Anthony Michael 1 Boyer, Charles P. 1 Brandhorst, Simon 1 Braun, Lukas 1 Brenton, Lawrence 1 Brevik, John 1 Broughton, S. Allen 1 Bürgisser, Peter 1 Burgos, José Ignacio 1 Calcut, Jack S. 1 Cannarsa, Daniele 1 Caradot, Antoine ...and 222 more Authors all top 5 Cited in 115 Serials 20 Mathematische Annalen 15 Inventiones Mathematicae 12 Duke Mathematical Journal 9 Mathematische Zeitschrift 8 Manuscripta Mathematica 8 Journal of Algebraic Geometry 7 Advances in Mathematics 7 Annales de l’Institut Fourier 7 Compositio Mathematica 7 Journal of Pure and Applied Algebra 6 Geometriae Dedicata 6 Transactions of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 5 Journal of Number Theory 5 Topology and its Applications 5 Journal of Knot Theory and its Ramifications 4 Journal of the Mathematical Society of Japan 4 Michigan Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Forum Mathematicum 4 Journal of Mathematical Sciences (New York) 4 Geometry & Topology 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 International Journal of Mathematics 3 Selecta Mathematica. New Series 3 Algebras and Representation Theory 3 Revista Matemática Complutense 3 Journal of the European Mathematical Society (JEMS) 3 Algebraic & Geometric Topology 3 Oberwolfach Reports 3 Journal of Singularities 3 Winter Braids Lecture Notes 2 Communications in Mathematical Physics 2 Bulletin de la Société Mathématique de France 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal of Symbolic Computation 2 \(K\)-Theory 2 Geometric and Functional Analysis. GAFA 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of the Institute of Mathematics of Jussieu 2 Bulletin of the American Mathematical Society 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Kodai Mathematical Journal 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Discrete & Computational Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Expositiones Mathematicae 1 Applied and Computational Harmonic Analysis 1 Izvestiya: Mathematics 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 Advances in Geometry 1 Foundations of Computational Mathematics ...and 15 more Serials all top 5 Cited in 37 Fields 191 Algebraic geometry (14-XX) 132 Several complex variables and analytic spaces (32-XX) 86 Manifolds and cell complexes (57-XX) 23 Number theory (11-XX) 22 Global analysis, analysis on manifolds (58-XX) 20 Differential geometry (53-XX) 19 Algebraic topology (55-XX) 12 Nonassociative rings and algebras (17-XX) 10 Commutative algebra (13-XX) 8 Group theory and generalizations (20-XX) 7 Convex and discrete geometry (52-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Associative rings and algebras (16-XX) 5 Category theory; homological algebra (18-XX) 5 Ordinary differential equations (34-XX) 4 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 \(K\)-theory (19-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year