# zbMATH — the first resource for mathematics

## O’Shea, Donal B.

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 Author ID: oshea.donal-b Published as: O’Shea, Donal; O’Shea, Donal B.; O’Shea, D. 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
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#### 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 Senechal, Lester 1 Tagare, Hemant D. 1 Teleman, Constantin
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#### 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 Journal of Singularities
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#### 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)

#### Citations contained in zbMATH Open

19 Publications have been cited 934 times in 904 Documents Cited by Year
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001
Cox, David; Little, John; O’Shea, Donal
2007
Using algebraic geometry. Zbl 0920.13026
Cox, David; Little, John; O’Shea, Donal
1998
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017
Cox, David; Little, John; O’Shea, Donal
1992
Using algebraic geometry. 2nd ed. Zbl 1079.13017
Cox, David A.; Little, John; O’Shea, Donal
2005
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001
Cox, David A.; Little, John; O’Shea, Donal
2015
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012
Cox, David; Little, John; O’Shea, Donal
1996
Topologically trivial deformations of isolated quasihomogeneous hypersurface singularities are equimultiple. Zbl 0628.32029
O’Shea, Donal B.
1987
Limits of tangent spaces to real surfaces. Zbl 1071.14058
O’Shea, Donal B.; Wilson, Leslie C.
2004
The bitangent sphere problem. Zbl 0703.53002
Giblin, Peter J.; O’Shea, Donal B.
1990
Computing limits of tangent spaces: Singularities, computation and pedagogy. Zbl 0947.14029
O’Shea, Donal
1995
Non-rigid shape comparison of plane curves in images. Zbl 0989.68155
Tagare, Hemant D.; O’Shea, Donal; Groisser, David
2002
An exposition of catastrophe theory and its applications to phase transitions. With an introductory note by A. J. Coleman. Zbl 0398.58011
O’Shea, D.
1976
Exceptional rays and bilipschitz geometry of real surface singularities. Zbl 1465.14007
O’Shea, Donal; Wilson, Leslie
2018
Finite jumps in Milnor number imply vanishing folds. Zbl 0521.14012
O’Shea, Donal B.
1983
Vanishing folds in families of singularities. Zbl 0545.14002
O’Shea, Donal B.
1983
Calculus in context: the five college calculus project. Zbl 0874.26002
Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester
1995
Limiting tangent spaces and a criterion. Zbl 0892.32022
O’Shea, Donal; Teleman, Constantin
1997
The Poincaré conjecture. In search of the shape of the universe. Zbl 1159.01007
O’Shea, Donal
2007
Choking horns in Lipschitz geometry of complex algebraic varieties. Appendix by Walter D. Neumann. Zbl 1307.14003
Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent; O’Shea, Donal
2014
Exceptional rays and bilipschitz geometry of real surface singularities. Zbl 1465.14007
O&rsquo;Shea, Donal; Wilson, Leslie
2018
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001
Cox, David A.; Little, John; O&rsquo;Shea, Donal
2015
Choking horns in Lipschitz geometry of complex algebraic varieties. Appendix by Walter D. Neumann. Zbl 1307.14003
Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent; O&rsquo;Shea, Donal
2014
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001
Cox, David; Little, John; O&rsquo;Shea, Donal
2007
The Poincaré conjecture. In search of the shape of the universe. Zbl 1159.01007
O&rsquo;Shea, Donal
2007
Using algebraic geometry. 2nd ed. Zbl 1079.13017
Cox, David A.; Little, John; O&rsquo;Shea, Donal
2005
Limits of tangent spaces to real surfaces. Zbl 1071.14058
O&rsquo;Shea, Donal B.; Wilson, Leslie C.
2004
Non-rigid shape comparison of plane curves in images. Zbl 0989.68155
Tagare, Hemant D.; O&rsquo;Shea, Donal; Groisser, David
2002
Using algebraic geometry. Zbl 0920.13026
Cox, David; Little, John; O&rsquo;Shea, Donal
1998
Limiting tangent spaces and a criterion. Zbl 0892.32022
O&rsquo;Shea, Donal; Teleman, Constantin
1997
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012
Cox, David; Little, John; O&rsquo;Shea, Donal
1996
Computing limits of tangent spaces: Singularities, computation and pedagogy. Zbl 0947.14029
O&rsquo;Shea, Donal
1995
Calculus in context: the five college calculus project. Zbl 0874.26002
Callahan, James; Cox, David; Hoffman, Kenneth; O&rsquo;Shea, Donal; Pollatsek, Harriet; Senechal, Lester
1995
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017
Cox, David; Little, John; O&rsquo;Shea, Donal
1992
The bitangent sphere problem. Zbl 0703.53002
Giblin, Peter J.; O&rsquo;Shea, Donal B.
1990
Topologically trivial deformations of isolated quasihomogeneous hypersurface singularities are equimultiple. Zbl 0628.32029
O&rsquo;Shea, Donal B.
1987
Finite jumps in Milnor number imply vanishing folds. Zbl 0521.14012
O&rsquo;Shea, Donal B.
1983
Vanishing folds in families of singularities. Zbl 0545.14002
O&rsquo;Shea, Donal B.
1983
An exposition of catastrophe theory and its applications to phase transitions. With an introductory note by A. J. Coleman. Zbl 0398.58011
O&rsquo;Shea, D.
1976
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#### Cited by 1,371 Authors

 15 Hashemi, Amir 13 Qi, Liqun 11 D’Andrea, Carlos 9 Seiler, Werner M. 9 Sharir, Micha 8 Chen, Yuqun 8 Faugère, Jean-Charles 8 García, Isaac A. 8 Sendra, Juan Rafael 7 Gao, Xiaoshan 7 Sturmfels, Bernd 7 Yuan, Chunming 6 Bivià-Ausina, Carles 6 Bokut, Leonid A. 6 Chen, Falai 6 Gatermann, Karin 6 Hong, Hoon 6 Kapur, Deepak 6 Rouillier, Fabrice 6 Villarreal, Rafael Heraclio 5 Busé, Laurent 5 de Graaf, Willem Adriaan 5 De Loera, Jesús A. 5 Jeronimo, Gabriela 5 Lazard, Daniel 5 Lazard, Sylvain 5 Minimair, Manfred 5 Mourrain, Bernard 5 Pouget, Marc 5 Sottile, Frank 5 Theobald, Thorsten 5 Thomas, Rekha R. 5 Tsai, Ya-Lun 5 Wang, Dingkang 4 Bardet, Magali 4 Chtcherba, Arthur D. 4 Emiris, Ioannis Z. 4 Eyral, Christophe 4 Geil, Olav 4 Gerdt, Vladimir P. 4 Hernando, Antonio 4 Hibi, Takayuki 4 Javanbakht, Masoumeh 4 Kaplan, Haim 4 Martínez-Moro, Edgar 4 Maza, Susanna 4 Moroz, Guillaume 4 Nie, Jiawang 4 Oaku, Toshinori 4 Petrović, Sonja 4 Roanes-Lozano, Eugenio 4 Soares Ruas, Maria Aparecida 4 Rueda, Sonia L. 4 Sarkar, Santanu 4 Shiu, Anne 4 Sun, Yao 4 Villarino, Carlos 4 Xia, Bican 3 Basiri, Abdolali 3 Boreale, Michele 3 Boussaada, Islam 3 Carvalho, Cícero F. 3 Cortadellas Benítez, Teresa 3 Dana-Picard, Thierry Noah 3 Datta, Mrinmoy 3 Dickenstein, Alicia M. 3 Dinwoodie, Ian Hepburn 3 Dipasquale, Michael R. 3 Drton, Mathias 3 Falcón Ganfornina, Raúl Manuel 3 Farahani, Hamed Shirinabadi 3 Fujimura, Masayo 3 Fukuda, Komei 3 Gao, Shuhong 3 Goldman, Ron N. 3 Grigor’ev, Dmitriĭ Yur’evich 3 Hampton, Marshall 3 Hauenstein, Jonathan D. 3 Hillar, Christopher J. 3 Hoşten, Serkan 3 Huarcaya, Jorge A. C. 3 Katthän, Lukas 3 Kayal, Neeraj 3 Lai, Yisheng 3 Laita, Luis M. 3 Lee, Soo Teck 3 Li, Yu 3 Llibre, Jaume 3 Lu, Dong 3 M.-Alizadeh, Benyamin 3 Marco García, Ana 3 Martínez, José-Javier 3 Matera, Guillermo 3 Mehta, Dhagash 3 Menini, Laura 3 Mo, Qiuhui 3 Noferini, Vanni 3 Ohsugi, Hidefumi 3 Pérez, Mariana 3 Possieri, Corrado ...and 1,271 more Authors
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#### Cited in 258 Serials

 106 Journal of Symbolic Computation 39 Journal of Algebra 32 Proceedings of the American Mathematical Society 23 Mathematics of Computation 21 Transactions of the American Mathematical Society 21 Linear Algebra and its Applications 19 Computer Aided Geometric Design 18 Mathematics in Computer Science 17 Journal of Pure and Applied Algebra 17 Discrete & Computational Geometry 14 Designs, Codes and Cryptography 12 Journal of Differential Equations 12 Applicable Algebra in Engineering, Communication and Computing 10 Applied Mathematics and Computation 10 Advances in Applied Mathematics 10 Journal of Systems Science and Complexity 9 Communications in Algebra 9 Journal of Mathematical Analysis and Applications 9 Journal of Computational and Applied Mathematics 9 Mathematical Programming. Series A. Series B 8 Journal of High Energy Physics 7 Bulletin of the American Mathematical Society. New Series 7 Finite Fields and their Applications 6 Acta Applicandae Mathematicae 6 Journal of Mathematical Imaging and Vision 6 Journal of Mathematical Sciences (New York) 6 Journal of Algebra and its Applications 5 Bulletin of Mathematical Biology 5 The Annals of Statistics 5 Journal of Functional Analysis 5 Semigroup Forum 5 Theoretical Computer Science 5 International Journal of Algebra and Computation 5 SIAM Journal on Optimization 5 Computational Complexity 5 Experimental Mathematics 5 Journal of Algebraic Combinatorics 5 Journal de Théorie des Nombres de Bordeaux 5 Annals of Mathematics and Artificial Intelligence 5 Science China. Mathematics 4 Theoretical and Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Combinatorial Theory. Series A 4 Mathematics and Computers in Simulation 4 Systems & Control Letters 4 Bulletin of the Iranian Mathematical Society 4 Journal of Complexity 4 Journal of Global Optimization 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Combinatorics, Probability and Computing 4 Mechanism and Machine Theory 4 Revista Matemática Complutense 4 Algebraic Combinatorics 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Discrete Applied Mathematics 3 Mathematical Biosciences 3 Journal of Geometry and Physics 3 Advances in Mathematics 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Kybernetika 3 Proceedings of the Japan Academy. Series A 3 Programming and Computer Software 3 European Journal of Combinatorics 3 Journal of Automated Reasoning 3 Journal of the American Mathematical Society 3 Multidimensional Systems and Signal Processing 3 Japan Journal of Industrial and Applied Mathematics 3 Computational Geometry 3 The Journal of Geometric Analysis 3 Journal of Nonlinear Science 3 Statistics and Computing 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 International Journal of Control 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Physics Reports 2 Algebra Universalis 2 Automatica 2 BIT 2 Integral Equations and Operator Theory 2 Journal of Multivariate Analysis 2 Journal of Number Theory 2 Journal of Optimization Theory and Applications 2 Journal of Statistical Planning and Inference 2 Numerische Mathematik 2 Pacific Journal of Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Combinatorica 2 Physica D 2 Revista Matemática Iberoamericana 2 SIAM Journal on Discrete Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Mathematics 2 Annals of Physics ...and 158 more Serials
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#### Cited in 61 Fields

 337 Commutative algebra (13-XX) 245 Algebraic geometry (14-XX) 206 Computer science (68-XX) 122 Numerical analysis (65-XX) 77 Combinatorics (05-XX) 65 Information and communication theory, circuits (94-XX) 63 Field theory and polynomials (12-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 55 Number theory (11-XX) 50 Several complex variables and analytic spaces (32-XX) 48 Ordinary differential equations (34-XX) 46 Operations research, mathematical programming (90-XX) 43 Dynamical systems and ergodic theory (37-XX) 40 Associative rings and algebras (16-XX) 36 Systems theory; control (93-XX) 35 Convex and discrete geometry (52-XX) 32 Biology and other natural sciences (92-XX) 28 Group theory and generalizations (20-XX) 28 Statistics (62-XX) 27 Nonassociative rings and algebras (17-XX) 23 Differential geometry (53-XX) 22 Approximations and expansions (41-XX) 22 Mechanics of particles and systems (70-XX) 21 Partial differential equations (35-XX) 20 Quantum theory (81-XX) 17 Mathematical logic and foundations (03-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Real functions (26-XX) 15 Geometry (51-XX) 14 Probability theory and stochastic processes (60-XX) 13 Functions of a complex variable (30-XX) 13 Manifolds and cell complexes (57-XX) 12 Special functions (33-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Operator theory (47-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Topological groups, Lie groups (22-XX) 8 Difference and functional equations (39-XX) 7 Algebraic topology (55-XX) 6 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Integral transforms, operational calculus (44-XX) 4 Fluid mechanics (76-XX) 4 Relativity and gravitational theory (83-XX) 4 Mathematics education (97-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)

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