Edit Profile (opens in new tab) O’Shea, Donal B. Co-Author Distance Author ID: oshea.donal-b Published as: O’Shea, Donal; O’Shea, Donal B.; O’Shea, D. more...less Further Spellings: O’Shea Don; O’Shea Donal Bartholomew Homepage: https://www.ncf.edu/directory/listing/donal-oshea/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 30 Publications since 1976, including 10 Books Co-Authors: 16 Co-Authors with 17 Joint Publications 231 Co-Co-Authors all top 5 Co-Authors 13 single-authored 7 Cox, David A. 7 Little, John Brittain 2 Pollatsek, Harriet S. 2 Wilson, Les 2 Wilson, Leslie Charles 1 Birbrair, Lev 1 Callahan, James J. 1 Cox, David O. 1 Fernandes, Alexandre Cesar Gurgel 1 Giblin, Peter J. 1 Grandjean, Vincent 1 Groisser, David 1 Hoffman, Kenneth 1 Neumann, Walter David 1 Senechal, Lester 1 Tagare, Hemant D. 1 Teleman, Constantin all top 5 Serials 4 Undergraduate Texts in Mathematics 3 Notices of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Graduate Texts in Mathematics 1 American Mathematical Monthly 1 American Journal of Mathematics 1 Topology and its Applications 1 Mathematical Modelling 1 The Journal of Geometric Analysis 1 Journal of Mathematical Imaging and Vision 1 Chinese Quarterly Journal of Mathematics 1 Queen’s Papers in Pure and Applied Mathematics 1 Journal of Singularities all top 5 Fields 19 Algebraic geometry (14-XX) 9 Commutative algebra (13-XX) 7 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Manifolds and cell complexes (57-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 1,410 times in 1,347 Documents Cited by ▼ Year ▼ Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001Cox, David; Little, John; O’Shea, Donal 332 2007 Using algebraic geometry. Zbl 0920.13026Cox, David; Little, John; O’Shea, Donal 292 1998 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017Cox, David; Little, John; O’Shea, Donal 247 1992 Using algebraic geometry. 2nd ed. Zbl 1079.13017Cox, David A.; Little, John; O’Shea, Donal 208 2005 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001Cox, David A.; Little, John; O’Shea, Donal 179 2015 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012Cox, David; Little, John; O’Shea, Donal 98 1996 Topologically trivial deformations of isolated quasihomogeneous hypersurface singularities are equimultiple. Zbl 0628.32029O’Shea, Donal B. 16 1987 Limits of tangent spaces to real surfaces. Zbl 1071.14058O’Shea, Donal B.; Wilson, Leslie C. 12 2004 The bitangent sphere problem. Zbl 0703.53002Giblin, Peter J.; O’Shea, Donal B. 5 1990 Non-rigid shape comparison of plane curves in images. Zbl 0989.68155Tagare, Hemant D.; O’Shea, Donal; Groisser, David 5 2002 Vanishing folds in families of singularities. Zbl 0545.14002O’Shea, Donal B. 2 1983 Do we need prerequisites? Zbl 0999.00506O’Shea, Donal; Pollatsek, Harriet 2 1997 Computing limits of tangent spaces: Singularities, computation and pedagogy. Zbl 0947.14029O’Shea, Donal 2 1995 The Poincaré conjecture. In search of the shape of the universe. Zbl 1159.01007O’Shea, Donal 2 2007 Choking horns in Lipschitz geometry of complex algebraic varieties. Appendix by Walter D. Neumann. Zbl 1307.14003Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent; O’Shea, Donal 2 2014 Limiting tangent spaces and a criterion. Zbl 0892.32022O’Shea, Donal; Teleman, Constantin 2 1997 Finite jumps in Milnor number imply vanishing folds. Zbl 0521.14012O’Shea, Donal B. 1 1983 An exposition of catastrophe theory and its applications to phase transitions. With an introductory note by A. J. Coleman. Zbl 0398.58011O’Shea, D. 1 1976 Calculus in context: the five college calculus project. Zbl 0874.26002Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester 1 1995 Exceptional rays and bilipschitz geometry of real surface singularities. Zbl 1465.14007O’Shea, Donal; Wilson, Leslie 1 2018 Exceptional rays and bilipschitz geometry of real surface singularities. Zbl 1465.14007O’Shea, Donal; Wilson, Leslie 1 2018 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001Cox, David A.; Little, John; O’Shea, Donal 179 2015 Choking horns in Lipschitz geometry of complex algebraic varieties. Appendix by Walter D. Neumann. Zbl 1307.14003Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent; O’Shea, Donal 2 2014 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001Cox, David; Little, John; O’Shea, Donal 332 2007 The Poincaré conjecture. In search of the shape of the universe. Zbl 1159.01007O’Shea, Donal 2 2007 Using algebraic geometry. 2nd ed. Zbl 1079.13017Cox, David A.; Little, John; O’Shea, Donal 208 2005 Limits of tangent spaces to real surfaces. Zbl 1071.14058O’Shea, Donal B.; Wilson, Leslie C. 12 2004 Non-rigid shape comparison of plane curves in images. Zbl 0989.68155Tagare, Hemant D.; O’Shea, Donal; Groisser, David 5 2002 Using algebraic geometry. Zbl 0920.13026Cox, David; Little, John; O’Shea, Donal 292 1998 Do we need prerequisites? Zbl 0999.00506O’Shea, Donal; Pollatsek, Harriet 2 1997 Limiting tangent spaces and a criterion. Zbl 0892.32022O’Shea, Donal; Teleman, Constantin 2 1997 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012Cox, David; Little, John; O’Shea, Donal 98 1996 Computing limits of tangent spaces: Singularities, computation and pedagogy. Zbl 0947.14029O’Shea, Donal 2 1995 Calculus in context: the five college calculus project. Zbl 0874.26002Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester 1 1995 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017Cox, David; Little, John; O’Shea, Donal 247 1992 The bitangent sphere problem. Zbl 0703.53002Giblin, Peter J.; O’Shea, Donal B. 5 1990 Topologically trivial deformations of isolated quasihomogeneous hypersurface singularities are equimultiple. Zbl 0628.32029O’Shea, Donal B. 16 1987 Vanishing folds in families of singularities. Zbl 0545.14002O’Shea, Donal B. 2 1983 Finite jumps in Milnor number imply vanishing folds. Zbl 0521.14012O’Shea, Donal B. 1 1983 An exposition of catastrophe theory and its applications to phase transitions. With an introductory note by A. J. Coleman. Zbl 0398.58011O’Shea, D. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 2,019 Authors 21 Hashemi, Amir 16 D’Andrea, Carlos 14 Qi, Liqun 13 Mourrain, Bernard 13 Seiler, Werner M. 13 Sendra, Juan Rafael 12 Faugère, Jean-Charles 11 Safey El Din, Mohab 11 Sharir, Micha 11 Sturmfels, Bernd 11 Wang, Dingkang 9 Busé, Laurent 9 Chen, Yuqun 9 Gao, Xiaoshan 9 García, Isaac A. 9 Sauer, Tomas 9 Yuan, Chunming 8 Chen, Falai 8 Jeronimo, Gabriela 8 Kapur, Deepak 8 Lu, Dong 7 de Graaf, Willem Adriaan 7 De Loera, Jesús A. 7 Geil, Olav 7 Goldman, Ronald N. 7 Hauenstein, Jonathan D. 7 Hong, Hoon 7 Nie, Jiawang 7 Rouillier, Fabrice 6 Bardet, Magali 6 Bivià-Ausina, Carles 6 Bokut, Leonid A. 6 Cox, David A. 6 Emiris, Ioannis Z. 6 Gatermann, Karin 6 Javanbakht, Masoumeh 6 Martínez-Moro, Edgar 6 Minimair, Manfred 6 Thomas, Rekha R. 6 Tsai, Ya-Lun 6 Villarreal, Rafael Heraclio 6 Walcher, Sebastian 6 Wynn, Henry P. 5 Batkhin, Alexandr B. 5 Boreale, Michele 5 Carvalho, Cícero F. 5 García-Río, Eduardo 5 Gerdt, Vladimir Petrovich 5 Lazard, Daniel 5 Lazard, Sylvain 5 Moroz, Guillaume 5 Mukhopadhyay, Partha 5 Pérez-Díaz, Sonia 5 Perret, Ludovic 5 Pouget, Marc 5 Rueda, Sonia L. 5 Sabia, Juan 5 Sarkar, Santanu 5 Schost, Éric 5 Shiu, Anne 5 Sottile, Frank 5 Sun, Yao 5 Theobald, Thorsten 5 Tohǎneanu, Ştefan O. 5 Vázquez-Lorenzo, Ramón 5 Villarino, Carlos 5 Wang, Dongming 5 Xia, Bican 5 Xiao, Fanghui 4 Basiri, Abdolali 4 Calviño-Louzao, Esteban 4 Chtcherba, Arthur D. 4 Dana-Picard, Thierry Noah 4 Dickenstein, Alicia M. 4 Dinwoodie, Ian Hepburn 4 Drton, Mathias 4 Eyral, Christophe 4 Farahani, Hamed Shirinabadi 4 Hernando, Antonio 4 Herrero, María Isabel 4 Hibi, Takayuki 4 Kaplan, Haim 4 Lai, Yisheng 4 Matera, Guillermo 4 Maza, Susanna 4 Mehta, Dhagash 4 Möller, Hans Michael 4 Moreno Maza, Marc 4 Mou, Chenqi 4 Noferini, Vanni 4 Oaku, Toshinori 4 Pérez, Mariana 4 Petrović, Sonja 4 Privitelli, Melina 4 Rahmany, Sajjad 4 Riccomagno, Eva 4 Roanes-Lozano, Eugenio 4 Romanovskiĭ, Valeriĭ Georgievich 4 Soares Ruas, Maria Aparecida 4 Sáenz de Cabezón Irigaray, Eduardo ...and 1,919 more Authors all top 5 Cited in 342 Serials 148 Journal of Symbolic Computation 45 Journal of Algebra 33 Proceedings of the American Mathematical Society 29 Mathematics of Computation 29 Linear Algebra and its Applications 25 Designs, Codes and Cryptography 23 Journal of Pure and Applied Algebra 23 Transactions of the American Mathematical Society 21 Journal of High Energy Physics 21 Mathematics in Computer Science 20 Computer Aided Geometric Design 19 Discrete & Computational Geometry 16 Journal of Systems Science and Complexity 15 Applicable Algebra in Engineering, Communication and Computing 14 Journal of Computational and Applied Mathematics 14 Advances in Applied Mathematics 13 Applied Mathematics and Computation 13 Journal of Differential Equations 11 Communications in Algebra 11 Journal of Mathematical Analysis and Applications 11 Journal of Mathematical Imaging and Vision 11 Foundations of Computational Mathematics 10 Theoretical Computer Science 10 Journal of Algebra and its Applications 9 Mathematical Programming. Series A. Series B 9 The Electronic Journal of Combinatorics 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Algebraic Combinatorics 8 SIAM Journal on Applied Algebra and Geometry 7 Journal de Théorie des Nombres de Bordeaux 7 Journal of Mathematical Sciences (New York) 7 Finite Fields and their Applications 6 The Annals of Statistics 6 Acta Applicandae Mathematicae 6 Journal of Complexity 6 International Journal of Algebra and Computation 6 SIAM Journal on Optimization 6 Computational Complexity 6 Annals of Mathematics and Artificial Intelligence 5 Communications in Mathematical Physics 5 Bulletin of Mathematical Biology 5 Annales de l’Institut Fourier 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Journal of Functional Analysis 5 Programming and Computer Software 5 Semigroup Forum 5 Computational Geometry 5 Journal of Nonlinear Science 5 Experimental Mathematics 5 International Journal of Computer Vision 5 Science China. Mathematics 4 Discrete Applied Mathematics 4 Theoretical and Mathematical Physics 4 Advances in Mathematics 4 Automatica 4 Journal of Optimization Theory and Applications 4 Mathematics and Computers in Simulation 4 Systems & Control Letters 4 Bulletin of the Iranian Mathematical Society 4 Physica D 4 Multidimensional Systems and Signal Processing 4 Journal of Global Optimization 4 Celestial Mechanics and Dynamical Astronomy 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Combinatorics, Probability and Computing 4 Advances in Applied Clifford Algebras 4 Mechanism and Machine Theory 4 Revista Matemática Complutense 4 Advances in Mathematics of Communications 4 Open Mathematics 4 Journal of Algebra, Combinatorics, Discrete Structures and Applications 4 Algebraic Combinatorics 3 Computers & Mathematics with Applications 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Mathematical Biosciences 3 Mathematical Notes 3 Journal of Geometry and Physics 3 Archiv der Mathematik 3 Integral Equations and Operator Theory 3 Journal of Approximation Theory 3 Journal of Econometrics 3 Journal of Multivariate Analysis 3 Journal of Number Theory 3 Kybernetika 3 Manuscripta Mathematica 3 Proceedings of the Japan Academy. Series A 3 Results in Mathematics 3 European Journal of Combinatorics 3 Journal of Automated Reasoning 3 Journal of the American Mathematical Society 3 SIAM Journal on Discrete Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 Forum Mathematicum 3 Japan Journal of Industrial and Applied Mathematics 3 The Journal of Geometric Analysis 3 European Journal of Operational Research 3 Applied and Computational Harmonic Analysis 3 St. Petersburg Mathematical Journal 3 Mathematical Problems in Engineering ...and 242 more Serials all top 5 Cited in 62 Fields 475 Commutative algebra (13-XX) 358 Algebraic geometry (14-XX) 330 Computer science (68-XX) 175 Numerical analysis (65-XX) 122 Combinatorics (05-XX) 111 Information and communication theory, circuits (94-XX) 98 Linear and multilinear algebra; matrix theory (15-XX) 96 Number theory (11-XX) 82 Field theory and polynomials (12-XX) 73 Ordinary differential equations (34-XX) 62 Operations research, mathematical programming (90-XX) 61 Several complex variables and analytic spaces (32-XX) 60 Convex and discrete geometry (52-XX) 53 Dynamical systems and ergodic theory (37-XX) 48 Statistics (62-XX) 47 Associative rings and algebras (16-XX) 46 Systems theory; control (93-XX) 44 Biology and other natural sciences (92-XX) 43 Quantum theory (81-XX) 41 Group theory and generalizations (20-XX) 38 Mechanics of particles and systems (70-XX) 35 Approximations and expansions (41-XX) 34 Nonassociative rings and algebras (17-XX) 34 Differential geometry (53-XX) 26 Partial differential equations (35-XX) 23 Mathematical logic and foundations (03-XX) 22 Real functions (26-XX) 20 Geometry (51-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Probability theory and stochastic processes (60-XX) 18 Functions of a complex variable (30-XX) 17 Special functions (33-XX) 17 Operator theory (47-XX) 17 Manifolds and cell complexes (57-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Algebraic topology (55-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Topological groups, Lie groups (22-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Difference and functional equations (39-XX) 8 Functional analysis (46-XX) 7 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 7 Relativity and gravitational theory (83-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Mathematics education (97-XX) 3 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) 3 Measure and integration (28-XX) 2 \(K\)-theory (19-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-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.