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## Mond, David Michael Quentin

Compute Distance To:
 Author ID: mond.david Published as: Mond, D.; Mond, D. M. Q.; Mond, David External Links: MGP
 Documents Indexed: 58 Publications since 1979, including 5 Books Biographic References: 2 Publications
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#### Co-Authors

 20 single-authored 5 van Straten, Duco 4 Schulze, Mathias 3 Castro-Jiménez, Francisco Jesús 3 Granger, Michel 3 Narváez-Macarro, Luis 2 Bruce, Bill 2 Cooper, Thomas 2 de Gregorio, Ignacio 2 Gaffney, Terence 2 Goryunov, Victor V. 2 Holland, Martin P. 2 Marar, Washington Luiz 2 Montaldi, James A. 2 Saia, Marcelo José 2 Wik Atique, Roberta G. 1 Altıntaş Sharland, Ayşe 1 Araújo dos Santos, Raimundo Nonato 1 Buchweitz, Ragnar-Olaf 1 Cadman, Paul 1 Calderón Moreno, Francisco Javier 1 Damon, James Norman 1 Menegon Neto, Aurélio 1 Morton, Hugh R. 1 Nieto-Reyes, Alicia 1 Nuño-Ballesteros, Juan José 1 Pellikaan, Ruud 1 Ratcliffe, Diana 1 Sevenheck, Christian 1 Smith, Jim Q. 1 Snoussi, Jawad
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#### Serials

 5 Journal of the London Mathematical Society. Second Series 4 Proceedings of the London Mathematical Society. Third Series 4 Topology 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Compositio Mathematica 3 Revista Colombiana de Matemáticas 2 Mathematica Scandinavica 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Journal of Singularities 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Boletín de Matemáticas. Nueva Serie 1 The Quarterly Journal of Mathematics 1 Moscow Mathematical Journal 1 Grundlehren der Mathematischen Wissenschaften 1 Lecture Notes in Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 London Mathematical Society Lecture Note Series 1 Springer Proceedings in Mathematics & Statistics
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#### Fields

 43 Several complex variables and analytic spaces (32-XX) 30 Algebraic geometry (14-XX) 29 Global analysis, analysis on manifolds (58-XX) 8 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 2 Commutative algebra (13-XX) 2 Convex and discrete geometry (52-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 416 times in 224 Documents Cited by Year
On the classification of germs of maps from $${\mathbb{R}}^ 2$$ to $${\mathbb{R}}^ 3$$. Zbl 0557.58006
Mond, David
1985
Some remarks on the geometry and classification of germs of maps from surfaces to 3-space. Zbl 0654.32008
Mond, David
1987
Multiple point schemes for corank 1 maps. Zbl 0691.58015
Marar, Washington Luiz; Mond, David
1989
Cohomology of the complement of a free divisor. Zbl 0862.32021
Castro-Jiménez, Francisco J.; Narváez-Macarro, Luis; Mond, David
1996
Linear free divisors and the global logarithmic comparison theorem. Zbl 1163.32014
Granger, Michel; Mond, David; Nieto-Reyes, Alicia; Schulze, Mathias
2009
$$\mathcal A$$-codimension and the vanishing topology of discriminants. Zbl 0772.32023
Damon, James; Mond, David
1991
Fitting ideals and multiple points of analytic mappings. Zbl 0715.32007
Mond, David; Pellikaan, Ruud
1989
Linear free divisors and quiver representations. Zbl 1101.14013
Buchweitz, Ragnar-Olaf; Mond, David
2006
Singularities of the tangent developable surface of a space curve. Zbl 0706.58006
Mond, David
1989
Logarithmic cohomology of the complement of a plane curve. Zbl 1010.32016
Calderón Moreno, Francisco J.; Mond, David; Narváez Macarro, Luis; Castro Jiménez, Francisco J.
2002
Vanishing cohomology of singularities of mappings. Zbl 0839.32017
Goryunov, Victor; Mond, David
1993
Vanishing topology of codimension 1 multi-germs over $$\mathbb R$$ and $$\mathbb C$$. Zbl 1002.32016
Cooper, Thomas; Mond, David; Wik Atique, Roberta
2002
The number of vanishing cycles for a quasihomogeneous mapping from $$\mathbb{C} ^ 2$$ to $$\mathbb{C} ^ 3$$. Zbl 0764.32013
Mond, David
1991
Cusps and double folds of germs of analytic maps $${\mathbb{C}} ^ 2 \to{} {\mathbb{C}} ^ 2$$. Zbl 0737.58007
Gaffney, T.; Mond, D. M. Q.
1991
Linear free divisors and Frobenius manifolds. Zbl 1238.32022
de Gregorio, Ignacio; Mond, David; Sevenheck, Christian
2009
Stochastic factorizations, sandwiched simplices and the topology of the space of explanations. Zbl 1051.60076
Mond, David; Smith, Jim Q.; van Straten, Duco
2003
Closed curves with no quadrisecants. Zbl 0509.57003
Morton, H. R.; Mond, D. M. Q.
1982
Looking at bent wires – $$\mathcal{A}_ e$$-codimension and the vanishing topology of parametrized curve singularities. Zbl 0869.57027
Mond, David
1995
Vanishing cycles for analytic maps. Zbl 0745.32020
Mond, David
1991
Weighted homogeneous maps from the plane to the plane. Zbl 0739.32033
Gaffney, T.; Mond, D. M. Q.
1991
Free divisors in prehomogeneous vector spaces. Zbl 1231.14042
Granger, Michel; Mond, David; Schulze, Mathias
2011
On the tangent developable of a space curve. Zbl 0495.58005
Mond, David
1982
Tjurina and Milnor numbers of matrix singularities. Zbl 1106.32021
Goryunov, V.; Mond, D.
2005
Milnor number equals Tjurina number for functions on space curves. Zbl 1017.32022
Mond, David; van Straten, Duco
2001
The structure of the discriminant of some space-curve singularities. Zbl 1045.14014
Mond, D.; van Straten, D.
2001
Real map-germs with good perturbations. Zbl 0870.32013
Marar, Washington Luiz; Mond, David
1996
Deformations of maps on complete intersections, Damon’s $${\mathcal K}_ V$$-equivalence and bifurcations. Zbl 0847.58007
Mond, David; Montaldi, James
1994
Singularities of the exponential map of the tangent bundle associated with an immersion. Zbl 0607.57022
Mond, David
1986
Differential forms on free and almost free divisors. Zbl 1025.32026
Mond, David
2000
Adjoint divisors and free divisors. Zbl 1292.32014
Mond, David; Schulze, Mathias
2013
Logarithmic differential forms and the cohomology of the complement of a divisor. Zbl 0941.32027
Holland, Martin P.; Mond, David
1998
Some open problems in the theory of singularities of mappings. Zbl 1318.32035
Mond, David
2015
Singularity theory and its applications, Warwick 1989, part I: geometric aspects of singularities. Proceedings of a symposium, held at the University of Warwick, UK, during the academic year 1988-89. Zbl 0723.00028
Mond, David (ed.); Montaldi, James (ed.)
1991
Disentanglements of corank 2 map-germs: two examples. Zbl 1405.32048
Mond, David
2018
Singularities and foliations. Geometry, topology and applications. BMMS 2/NBMS 3, Salvador, Brazil, 2015. Proceedings of the 3rd singularity theory meeting, ENSINO, July 8–11, 2015 and the Brazil-Mexico 2nd meeting of singularities, July 13–17, 2015. Zbl 1392.58001
Araújo dos Santos, Raimundo Nonato (ed.); Menegon Neto, Aurélio (ed.); Mond, David (ed.); Saia, Marcelo J. (ed.); Snoussi, Jawad (ed.)
2018
Free resolutions for multiple point spaces. Zbl 1261.58013
Altıntaş, Ayşe; Mond, David
2013
From the index of a differential operator to the Milnor number of a singularity. Zbl 1207.32024
Mond, David
2010
Stable mappings and logarithmic relative symplectic forms. Zbl 0930.32018
Holland, Martin P.; Mond, David
1999
Knotted Milnor fibres. Zbl 0939.32028
Mond, David; van Straten, Duco
1999
How good are real pictures? Zbl 0851.32033
Mond, David
1996
Deformations which preserve the non-immersive locus of a map-germ. Zbl 0745.32019
Mond, David
1990
Disentanglements of corank 2 map-germs: two examples. Zbl 1405.32048
Mond, David
2018
Singularities and foliations. Geometry, topology and applications. BMMS 2/NBMS 3, Salvador, Brazil, 2015. Proceedings of the 3rd singularity theory meeting, ENSINO, July 8–11, 2015 and the Brazil-Mexico 2nd meeting of singularities, July 13–17, 2015. Zbl 1392.58001
Araújo dos Santos, Raimundo Nonato (ed.); Menegon Neto, Aurélio (ed.); Mond, David (ed.); Saia, Marcelo J. (ed.); Snoussi, Jawad (ed.)
2018
Some open problems in the theory of singularities of mappings. Zbl 1318.32035
Mond, David
2015
Adjoint divisors and free divisors. Zbl 1292.32014
Mond, David; Schulze, Mathias
2013
Free resolutions for multiple point spaces. Zbl 1261.58013
Altıntaş, Ayşe; Mond, David
2013
Free divisors in prehomogeneous vector spaces. Zbl 1231.14042
Granger, Michel; Mond, David; Schulze, Mathias
2011
From the index of a differential operator to the Milnor number of a singularity. Zbl 1207.32024
Mond, David
2010
Linear free divisors and the global logarithmic comparison theorem. Zbl 1163.32014
Granger, Michel; Mond, David; Nieto-Reyes, Alicia; Schulze, Mathias
2009
Linear free divisors and Frobenius manifolds. Zbl 1238.32022
de Gregorio, Ignacio; Mond, David; Sevenheck, Christian
2009
Linear free divisors and quiver representations. Zbl 1101.14013
Buchweitz, Ragnar-Olaf; Mond, David
2006
Tjurina and Milnor numbers of matrix singularities. Zbl 1106.32021
Goryunov, V.; Mond, D.
2005
Stochastic factorizations, sandwiched simplices and the topology of the space of explanations. Zbl 1051.60076
Mond, David; Smith, Jim Q.; van Straten, Duco
2003
Logarithmic cohomology of the complement of a plane curve. Zbl 1010.32016
Calderón Moreno, Francisco J.; Mond, David; Narváez Macarro, Luis; Castro Jiménez, Francisco J.
2002
Vanishing topology of codimension 1 multi-germs over $$\mathbb R$$ and $$\mathbb C$$. Zbl 1002.32016
Cooper, Thomas; Mond, David; Wik Atique, Roberta
2002
Milnor number equals Tjurina number for functions on space curves. Zbl 1017.32022
Mond, David; van Straten, Duco
2001
The structure of the discriminant of some space-curve singularities. Zbl 1045.14014
Mond, D.; van Straten, D.
2001
Differential forms on free and almost free divisors. Zbl 1025.32026
Mond, David
2000
Stable mappings and logarithmic relative symplectic forms. Zbl 0930.32018
Holland, Martin P.; Mond, David
1999
Knotted Milnor fibres. Zbl 0939.32028
Mond, David; van Straten, Duco
1999
Logarithmic differential forms and the cohomology of the complement of a divisor. Zbl 0941.32027
Holland, Martin P.; Mond, David
1998
Cohomology of the complement of a free divisor. Zbl 0862.32021
Castro-Jiménez, Francisco J.; Narváez-Macarro, Luis; Mond, David
1996
Real map-germs with good perturbations. Zbl 0870.32013
Marar, Washington Luiz; Mond, David
1996
How good are real pictures? Zbl 0851.32033
Mond, David
1996
Looking at bent wires – $$\mathcal{A}_ e$$-codimension and the vanishing topology of parametrized curve singularities. Zbl 0869.57027
Mond, David
1995
Deformations of maps on complete intersections, Damon’s $${\mathcal K}_ V$$-equivalence and bifurcations. Zbl 0847.58007
Mond, David; Montaldi, James
1994
Vanishing cohomology of singularities of mappings. Zbl 0839.32017
Goryunov, Victor; Mond, David
1993
$$\mathcal A$$-codimension and the vanishing topology of discriminants. Zbl 0772.32023
Damon, James; Mond, David
1991
The number of vanishing cycles for a quasihomogeneous mapping from $$\mathbb{C} ^ 2$$ to $$\mathbb{C} ^ 3$$. Zbl 0764.32013
Mond, David
1991
Cusps and double folds of germs of analytic maps $${\mathbb{C}} ^ 2 \to{} {\mathbb{C}} ^ 2$$. Zbl 0737.58007
Gaffney, T.; Mond, D. M. Q.
1991
Vanishing cycles for analytic maps. Zbl 0745.32020
Mond, David
1991
Weighted homogeneous maps from the plane to the plane. Zbl 0739.32033
Gaffney, T.; Mond, D. M. Q.
1991
Singularity theory and its applications, Warwick 1989, part I: geometric aspects of singularities. Proceedings of a symposium, held at the University of Warwick, UK, during the academic year 1988-89. Zbl 0723.00028
Mond, David (ed.); Montaldi, James (ed.)
1991
Deformations which preserve the non-immersive locus of a map-germ. Zbl 0745.32019
Mond, David
1990
Multiple point schemes for corank 1 maps. Zbl 0691.58015
Marar, Washington Luiz; Mond, David
1989
Fitting ideals and multiple points of analytic mappings. Zbl 0715.32007
Mond, David; Pellikaan, Ruud
1989
Singularities of the tangent developable surface of a space curve. Zbl 0706.58006
Mond, David
1989
Some remarks on the geometry and classification of germs of maps from surfaces to 3-space. Zbl 0654.32008
Mond, David
1987
Singularities of the exponential map of the tangent bundle associated with an immersion. Zbl 0607.57022
Mond, David
1986
On the classification of germs of maps from $${\mathbb{R}}^ 2$$ to $${\mathbb{R}}^ 3$$. Zbl 0557.58006
Mond, David
1985
Closed curves with no quadrisecants. Zbl 0509.57003
Morton, H. R.; Mond, D. M. Q.
1982
On the tangent developable of a space curve. Zbl 0495.58005
Mond, David
1982
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#### Cited by 227 Authors

 22 Nuño-Ballesteros, Juan José 9 Soares Ruas, Maria Aparecida 8 Damon, James Norman 8 Marar, Washington Luiz 8 Saia, Marcelo José 8 Schulze, Mathias 8 Sevenheck, Christian 7 Mond, David Michael Quentin 7 Sinha, Raúl Oset 6 Castro-Jiménez, Francisco Jesús 6 Houston, Kevin 6 Ishikawa, Goo 6 Peñafort-Sanchis, Guillermo 6 Rieger, Joachim H. 6 Tomazella, João Nivaldo 5 Altıntaş Sharland, Ayşe 5 Bruce, James William 5 Izumiya, Shyuichi 5 Romero-Fuster, María Carmen 5 Ucha-Enríquez, José María 4 Atique, R. Wik 4 Dimca, Alexandru 4 Granger, Michel 4 Miranda, Aldicio José 4 Pike, Brian 4 Tari, Farid 4 van Straten, Duco 3 Casonatto, Catiana 3 Ebeling, Wolfgang 3 Faber, Eleonore 3 Fernández de Bobadilla, Javier 3 Goryunov, Victor V. 3 Hernandes, Marcelo Escudeiro 3 Janeczko, Stanisław 3 Jin, Gyo Taek 3 Jorge Pérez, Victor Hugo 3 Kubjas, Kaie 3 Martins, Rodrigo 3 Mendes, Rodrigo 3 Narváez-Macarro, Luis 3 Oréfice-Okamoto, B. 3 Seade, Jose Antonio 3 Sticlaru, Gabriel 2 Ament, Daiane Alice Henrique 2 Buchweitz, Ragnar-Olaf 2 Calderón Moreno, Francisco Javier 2 Castaño Domínguez, Alberto 2 de Gregorio, Ignacio 2 Farnik, Michał 2 Fawzi, Hamza 2 Fukui, Toshizumi 2 Furter, Jacques-Elie 2 Giblin, Peter J. 2 Gibson, Christopher George 2 Gusein-Zade, Sabir M. 2 Hernandes, M. E. Rodrigues 2 Jelonek, Zbigniew 2 Jeon, Choon Bae 2 Kleiman, Steven Lawrence 2 Martins, Luciana F. 2 Moya-Pérez, Juan Antonio 2 Némethi, András 2 Parrilo, Pablo A. 2 Pym, Brent 2 Reichelt, Thomas 2 Saji, Kentaro 2 Sedykh, Vyacheslav Dmitrievich 2 Silva, O. N. 2 Sturmfels, Bernd 2 Szafraniec, Zbigniew 2 Tosun, Meral 2 Ulrich, Bernd 2 Uribe-Vargas, Ricardo 2 Wall, Charles Terence Clegg 2 Walther, Uli 2 Wik Atique, Roberta G. 2 Zakalyukin, Vladimir M. 1 Aleksandrov, Aleksandr Grigor’evich 1 Alexander, Gareth P. 1 Allman, Elizabeth S. 1 Alpert, Christian 1 Bai, Sheng 1 Barbosa, Grazielle Feliciani 1 Basu, Saugata 1 Bath, Daniel 1 Behrens, Stefan 1 Belitskii, Genrich R. 1 Benedini Riul, Pedro 1 Binysh, Jack 1 Birbrair, Lev 1 Botbol, Nicolás 1 Budney, Ryan David 1 Busé, Laurent 1 Cadman, Paul 1 Callejas-Bedregal, Roberto 1 Carter, J. Scott 1 Çevık, G. 1 Chardin, Marc 1 Chistikov, Dmitry V. 1 Colin de Verdière, Éric ...and 127 more Authors
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#### Cited in 79 Serials

 14 Mathematical Proceedings of the Cambridge Philosophical Society 13 Topology and its Applications 9 Manuscripta Mathematica 9 Journal of Singularities 8 Advances in Mathematics 8 Annales de l’Institut Fourier 8 Mathematische Annalen 7 Compositio Mathematica 6 Geometriae Dedicata 6 Mathematische Zeitschrift 6 Journal of Knot Theory and its Ramifications 5 Journal of the Mathematical Society of Japan 5 Proceedings of the American Mathematical Society 5 International Journal of Mathematics 5 Advances in Geometry 4 Functional Analysis and its Applications 4 Journal of Algebra 4 Journal of Mathematical Sciences (New York) 4 Journal of Topology 3 Journal of Geometry and Physics 3 Inventiones Mathematicae 3 Michigan Mathematical Journal 3 Differential Geometry and its Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Revista Matemática Complutense 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Algebra 2 Glasgow Mathematical Journal 2 Journal of Geometry 2 Journal of Pure and Applied Algebra 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Linear Algebra and its Applications 2 Mathematical Programming. Series A. Series B 2 Experimental Mathematics 2 Journal of Algebraic Geometry 2 Geometry & Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 1 Artificial Intelligence 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Collectanea Mathematica 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Journal of Multivariate Analysis 1 Kodai Mathematical Journal 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 SIAM Journal on Matrix Analysis and Applications 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Bernoulli 1 Izvestiya: Mathematics 1 Algebras and Representation Theory 1 LMS Journal of Computation and Mathematics 1 Foundations of Computational Mathematics 1 Applied Mathematics E-Notes 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Journal de l’École Polytechnique – Mathématiques 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 34 Fields

 105 Several complex variables and analytic spaces (32-XX) 76 Global analysis, analysis on manifolds (58-XX) 71 Algebraic geometry (14-XX) 39 Manifolds and cell complexes (57-XX) 35 Differential geometry (53-XX) 19 Commutative algebra (13-XX) 9 Convex and discrete geometry (52-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Nonassociative rings and algebras (17-XX) 6 Ordinary differential equations (34-XX) 6 Algebraic topology (55-XX) 6 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 4 Statistics (62-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Operations research, mathematical programming (90-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)