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Mumford, David Bryant

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Author ID: mumford.david-b Recent zbMATH articles by "Mumford, David Bryant"
Published as: Mumford, D.; Mumford, David; Mumford, David B.
Homepage: http://www.dam.brown.edu/people/mumford/
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Fields Medal (1974) · Shaw Prize (2006) · Wolf Prize (2008)
Documents Indexed: 143 Publications since 1961, including 44 Books
Biographic References: 5 Publications
all top 5

Co-Authors

82 single-authored
9 Michor, Peter Wolfram
4 Frame, Michael L.
4 Gleason, Andrew Mattei
4 Hughes-Hallett, Deborah
4 McCallum, William G.
4 Osgood, Brad G.
4 Quinney, Douglas
4 Tecosky-Feldman, Jeff
4 Tucker, Thomas W.
3 Artin, Michael
3 Deligne, Pierre René
3 Flath, Daniel Evans
3 Gordon, Sheldon P.
3 Tate, John Torrence jun.
3 Thrash, Joe B.
2 Ash, Avner
2 Barnsley, Michael Fielding
2 Bombieri, Enrico
2 Chung Graham, Fan-Rong King
2 Falconer, Kenneth J.
2 Fogarty, John C.
2 Jackson, Allyn
2 Knudsen, Finn Faye
2 Lee, Ann B.
2 Lock, Patti Frazer
2 Micheli, Mario
2 Mulay, Shashikant B.
2 Nguyen Minh Chuong
2 Rapoport, Michael
2 Raskind, Wayne
2 Series, Caroline
2 Shah, Jayant
2 Stewart, Ian Nicholas
2 Tai, Yungsheng
1 Abhyankar, Yvonne
1 Atiyah, Michael Francis
1 Bajai, Chanderjit
1 Barrallo, Javier
1 Bass, Hyman
1 Bayer, David Allen
1 Berry, Michael Victor
1 Berry, Michael W.
1 Brothers, Harlan J.
1 Bruveris, Martins
1 Carrell, James B.
1 Cartier, Pierre
1 Chiossi, Simon G.
1 Ciarlet, Philippe Gaston
1 Cohen, Nathan
1 Coppens, Marc-Olivier
1 Cutkosky, Steven Dale
1 Davis, Philip J.
1 Demazure, Michel
1 Desolneux, Agnès
1 Dieudonné, Jean Alexandre
1 Eglash, Ron
1 Egorov, Yuriĭ Vladimirovich
1 Furstenberg, Hillel
1 Giblin, Peter J.
1 Gidas, Basilis
1 Gordon, Gaile G.
1 Greenberg, Marvin Jay
1 Gurdian, Rodolfo
1 Hallinan, Peter W.
1 Harbater, Dale
1 Harris, Joseph Daniel
1 Hartshorne, Robin
1 Heinzer, William J.
1 Helgason, Sigurdur
1 Horrocks, Geoffrey
1 Howe, Roger Evans
1 Huang, Jinggang
1 Illusie, Luc
1 Jaffard, Stéphane
1 Jaffe, Arthur Michael
1 Kalayciôglu, Selin
1 Katz, Nicholas Michael
1 Kempf, George R.
1 Khrennikov, Andreĭ Yur’evich
1 Kirwan, Frances Clare
1 Kleiman, Steven Lawrence
1 Ladegaillerie, Yves
1 Lahme, Brigitte
1 Lascu, Alexandru T.
1 Lax, Peter David
1 Lesmoir-Gordon, Nigel
1 Lichtenbaum, Stephen
1 Liebermann, D.
1 Lochak, Pierre
1 Lomen, David O.
1 Lovelock, David
1 Lozano, Guadalupe I.
1 Matsusaka, Teruhisa
1 Mazur, Barry
1 Messing, William
1 Meyer, Yves F.
1 Morris, Jerry
1 Murre, Jacob P.
1 Newstead, Peter E.
1 Nitzberg, Mark
...and 31 more Co-Authors
all top 5

Serials

11 Notices of the American Mathematical Society
8 American Journal of Mathematics
5 Inventiones Mathematicae
3 Lecture Notes in Mathematics
3 Progress in Mathematics
3 Modern Birkhäuser Classics
2 Compositio Mathematica
2 Publications Mathématiques
2 Quarterly of Applied Mathematics
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 International Journal of Computer Vision
2 Ergebnisse der Mathematik und ihrer Grenzgebiete
2 Grundlehren der Mathematischen Wissenschaften
2 Tata Institute of Fundamental Research. Studies in Mathematics
2 Texts and Readings in Mathematics
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Combinatorial Theory. Series B
1 Journal of Mathematics of Kyoto University
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Topology
1 Annals of Global Analysis and Geometry
1 Sūgaku
1 L’Enseignement Mathématique. 2e Série
1 Nova Acta Leopoldina. Neue Folge
1 Applied and Computational Harmonic Analysis
1 Izvestiya: Mathematics
1 Documenta Mathematica
1 European Mathematical Society Newsletter
1 Journal of the European Mathematical Society (JEMS)
1 Bulletin of the American Mathematical Society
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 Annals of Mathematics Studies
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Lecture Notes in Computer Science
1 Monographies de l’Enseignement Mathématique
1 Science
1 SIAM Journal on Imaging Sciences
1 Foundations and Trends in Computer Graphics and Vision
1 Journal of Geometric Mechanics
1 Forum of Mathematics, Sigma
1 Classics in Mathematics
1 Springer Collected Works in Mathematics
1 Cambridge Mathematical Library

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 9,093 times in 7,231 Documents Cited by Year
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
599
1993
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
552
1989
Abelian varieties. Zbl 0223.14022
Mumford, David
527
1970
The irreducibility of the space of curves of a given genus. Zbl 0181.48803
Deligne, Pierre; Mumford, D.
477
1969
Toroidal embeddings. I. Zbl 0271.14017
Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard
426
1973
Lectures on curves on an algebraic surface. Zbl 0187.42701
Mumford, D.
419
1966
Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman. Zbl 0509.14049
Mumford, David
362
1983
Geometric invariant theory. Zbl 0147.39304
Mumford, D.
330
1965
Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura. Zbl 0549.14014
Mumford, David
300
1984
Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008
Mumford, D.; Fogarty, J.
251
1982
The topology of normal singularities of an algebraic surface and a criterion for simplicity. Zbl 0108.16801
Mumford, D.
233
1961
Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002
Mumford, David
225
1976
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
196
1976
Varieties defined by quadratic equations. Zbl 0198.25801
Mumford, D.
168
1970
On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016
Harris, Joe; Mumford, David
167
1982
Smooth compactification of locally symmetric varieties. Zbl 0334.14007
Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y.
166
1975
On the equations defining Abelian varieties. I-III. Zbl 0219.14024
Mumford, D.
161
1966
Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008
Mumford, David
158
1983
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012
Mumford, David
149
1974
Stability of projective varieties. Zbl 0363.14003
Mumford, David
138
1977
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
128
1972
What can be computed in algebraic geometry? Zbl 0846.13017
Bayer, Dave; Mumford, David
114
1993
The red book of varieties and schemes. Zbl 0658.14001
Mumford, David
104
1988
Theta characteristics of an algebraic curve. Zbl 0216.05904
Mumford, David
103
1971
Tata lectures on theta. III. Zbl 0744.14033
Mumford, David; Nori, Madhav; Norman, Peter
100
1991
Rational equivalence of O-cycles on surfaces. Zbl 0184.46603
Mumford, D.
98
1969
Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012
Mumford, D.
97
1977
The red book of varieties and schemes. Includes the Michigan lectures (1974) on “Curves and their Jacobians”. 2nd, expanded ed. with contributions by Enrico Arbarello. Zbl 0945.14001
Mumford, David
90
1999
Curves and their Jacobians. Zbl 0316.14010
Mumford, David
90
1975
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
86
2006
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
84
1979
Prym varieties. I. Zbl 0299.14018
Mumford, David
83
1974
Further pathologies in algebraic geometry. Zbl 0114.13106
Mumford, D.
83
1962
Families of abelian varieties. Zbl 0199.24601
Mumford, D.
82
1966
An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011
Mumford, David
81
1972
A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017
Horrocks, G.; Mumford, D.
69
1973
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
68
2007
Elastica and computer vision. Zbl 0798.53003
Mumford, David
68
1994
Enriques’ classification of surfaces in char p. III. Zbl 0336.14010
Bombieri, E.; Mumford, D.
68
1976
Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001
Mumford, David
65
1995
An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020
Mumford, David
63
1972
A note of Shimura’s paper: Discontinuous groups and Abelian varieties. Zbl 0169.23301
Mumford, D.
61
1969
A remark on Mahler’s compactness theorem. Zbl 0215.23202
Mumford, D.
59
1971
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
56
2008
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
54
2005
Two fundamental theorems on deformations of polarized varieties. Zbl 0128.15505
Matsusaka, T.; Mumford, D.
53
1964
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
49
2008
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002
Mumford, David; Series, Caroline; Wright, David
49
2002
An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021
Mumford, D.
48
1979
An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg de Vries equation and related non- linear equations. Zbl 0423.14007
Mumford, D.
47
1977
Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021
Bombieri, E.; Mumford, D.
44
1977
Pathologies. III. Zbl 0146.42403
Mumford, D.
44
1967
Filtering, segmentation and depth. Zbl 0801.68171
Nitzberg, Mark; Mumford, David; Shiota, Takahiro
36
1993
Abelian quotients of the Teichmüller modular group. Zbl 0173.22903
Mumford, D.
30
1967
Periods of a moduli space of bundles on curves. Zbl 0174.52902
Mumford, D.; Newstead, P.
29
1968
Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001
Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng
28
2010
The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661
Lee, Ann B.; Pedersen, Kim S.; Mumford, David
24
2003
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
22
2001
A remark on Mordell’s conjecture. Zbl 0151.27301
Mumford, D.
22
1965
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
20
2014
Introduction to the theory of moduli. Zbl 0242.14004
Mumford, David; Suominen, Kalevi
20
1972
On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036
Mumford, David
19
1983
Picard groups of moduli problems. Zbl 0187.42801
Mumford, D.
19
1965
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
18
2013
A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009
Michor, Peter W.; Mumford, David
16
2013
Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura. Reprint of the 1984 edition. Zbl 1112.14003
Mumford, David
16
2007
A stochastic grammar of images. Zbl 1198.68160
Zhu, Song-Chun; Mumford, David
16
2006
Stability of projective varieties. Zbl 0497.14004
Mumford, David
16
1977
Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901
Oort, F.; Mumford, D.
16
1968
Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman. Reprint of the 1983 edition. Zbl 1112.14002
Mumford, David
15
2007
Bi-extensions of formal groups. Zbl 0216.33101
Mumford, D.
15
1969
Projective invariants of projective structures and applications. Zbl 0154.20702
Mumford, D.
15
1963
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Reprint of the 2002 hardback edition. Zbl 1314.00007
Mumford, David; Series, Caroline; Wright, David
14
2015
Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002
Mumford, David
14
2005
Enriques’ classification of surfaces in char p. I. Zbl 0188.53201
Mumford, D.
14
1969
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
13
2013
Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002
Mumford, David; Desolneux, Agnès
13
2010
Two- and three-dimensional patterns of the face. Zbl 0930.68140
Hallinan, Peter W.; Gordon, Gaile G.; Yuille, A. L.; Giblin, Peter; Mumford, David
13
1999
Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002
Mumford, D.
13
1978
Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks. Zbl 1276.37047
Micheli, Mario; Michor, Peter W.; Mumford, David
12
2012
Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
Nguyen Minh Chuong (ed.); Egorov, Yu. V. (ed.); Khrennikov, A. (ed.); Meyer, Y. (ed.); Mumford, D. (ed.)
12
2007
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
12
1985
Pathologies of modular algebraic surfaces. Zbl 0138.42002
Mumford, D.
12
1961
Pattern theory: The mathematics of perception. Zbl 1057.91072
Mumford, David
11
2002
The dawning of the age of stochasticity. Zbl 0962.60003
Mumford, David
11
2000
Chordal completions of planar graphs. Zbl 0809.05038
Chung, F. R. K.; Mumford, David
11
1994
The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023
Mumford, David
10
1971
Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043
Mumford, David
9
2007
The self-intersection formula and the ’formule-clef’. Zbl 0341.14002
Lascu, A. T.; Mumford, D.; Scott, D. B.
8
1975
Lectures on curves on a algebraic surface. Zbl 0187.42702
Mumford, D.
7
1968
Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008
Nguyen Minh Chuong (ed.); Ciarlet, P. G. (ed.); Lax, P. (ed.); Mumford, D. (ed.); Phong, D. H. (ed.)
6
2007
Occlusion models for natural images: A statistical study of a scale-invariant dead leaves model. Zbl 1012.68715
Lee, Ann B.; Mumford, David; Huang, Jinggang
6
2001
Pattern theory: A unifying perspective. Zbl 0939.68820
Mumford, David
6
1994
Matsusaka’s big theorem. Zbl 0321.14004
Liebermann, D.; Mumford, D.
6
1975
Pathologies. IV. Zbl 0315.14012
Mumford, David
6
1975
A remark on the paper of M. Schlessinger. Zbl 0279.32007
Mumford, David
6
1973
Algebraic geometry II. Zbl 1325.14001
Mumford, David; Oda, Tadao
5
2015
Hilbert’s fourteenth problem - the finite generation of subrings such as rings of invariants. Zbl 0341.14019
Mumford, David
4
1976
A new approach to compactifying locally symmetric varieties. Zbl 0322.32016
Mumford, David
4
1975
The irreducibility of the space of curves of a given genus. Zbl 0233.14008
Deligne, Pierre; Mumford, D.
4
1972
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila
1
2016
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
1
2016
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Reprint of the 2002 hardback edition. Zbl 1314.00007
Mumford, David; Series, Caroline; Wright, David
14
2015
Algebraic geometry II. Zbl 1325.14001
Mumford, David; Oda, Tadao
5
2015
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
20
2014
Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001
Mulay, Shashikant (ed.); Sathaye, Avinash (ed.); Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh
1
2014
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
18
2013
A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009
Michor, Peter W.; Mumford, David
16
2013
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
13
2013
Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks. Zbl 1276.37047
Micheli, Mario; Michor, Peter W.; Mumford, David
12
2012
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Barnsley, Michael F. (ed.); Frame, Michael (ed.); Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047
Barnsley, Michael F. (ed.); Frame, Michael (ed.); Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael
1
2012
Intuition and rigor and Enriques’s quest. Zbl 1268.14003
Mumford, David
3
2011
Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001
Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng
28
2010
Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002
Mumford, David; Desolneux, Agnès
13
2010
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
56
2008
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
49
2008
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
68
2007
Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura. Reprint of the 1984 edition. Zbl 1112.14003
Mumford, David
16
2007
Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman. Reprint of the 1983 edition. Zbl 1112.14002
Mumford, David
15
2007
Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
Nguyen Minh Chuong (ed.); Egorov, Yu. V. (ed.); Khrennikov, A. (ed.); Meyer, Y. (ed.); Mumford, D. (ed.)
12
2007
Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043
Mumford, David
9
2007
Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008
Nguyen Minh Chuong (ed.); Ciarlet, P. G. (ed.); Lax, P. (ed.); Mumford, D. (ed.); Phong, D. H. (ed.)
6
2007
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
86
2006
A stochastic grammar of images. Zbl 1198.68160
Zhu, Song-Chun; Mumford, David
16
2006
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
54
2005
Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002
Mumford, David
14
2005
The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661
Lee, Ann B.; Pedersen, Kim S.; Mumford, David
24
2003
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002
Mumford, David; Series, Caroline; Wright, David
49
2002
Pattern theory: The mathematics of perception. Zbl 1057.91072
Mumford, David
11
2002
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
22
2001
Occlusion models for natural images: A statistical study of a scale-invariant dead leaves model. Zbl 1012.68715
Lee, Ann B.; Mumford, David; Huang, Jinggang
6
2001
The dawning of the age of stochasticity. Zbl 0962.60003
Mumford, David
11
2000
The dawning of the age of stochasticity. Zbl 1149.00309
Mumford, David
3
2000
The red book of varieties and schemes. Includes the Michigan lectures (1974) on “Curves and their Jacobians”. 2nd, expanded ed. with contributions by Enrico Arbarello. Zbl 0945.14001
Mumford, David
90
1999
Two- and three-dimensional patterns of the face. Zbl 0930.68140
Hallinan, Peter W.; Gordon, Gaile G.; Yuille, A. L.; Giblin, Peter; Mumford, David
13
1999
Trends in the profession of mathematics. Zbl 1288.00054
Mumford, David
1
1998
Calculus. Single and multivariable. 2nd ed. Zbl 0913.26003
Hughes-Hallett, Deborah; Gleason, Andrew M.; McCallum, William G.; Flath, Daniel E.; Lock, Patti Frazer; Gordon, Sheldon P.; Lomen, David O.; Lovelock, David; Mumford, David; Osgood, Brad G.; Pasquale, Andrew; Quinney, Douglas; Tecosky-Feldman, Jeff; Thrash, Joe B.; Thrash, Karen R.; Tucker, Thomas W.
1
1998
Multivariable calculus. Zbl 0892.26002
McCallum, William G.; Hughes-Hallett, Deborah; Gleason, Andrew M.; Flath, Daniel; Gordon, Sheldon P.; Mumford, David; Osgood, Brad G.; Quinney, Douglas; Raskind, Wayne; Tecosky-Feldman, Jeff; Thrash, Joe B.; Tucker, Thomas W.
1
1997
Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001
Mumford, David
65
1995
Elastica and computer vision. Zbl 0798.53003
Mumford, David
68
1994
Chordal completions of planar graphs. Zbl 0809.05038
Chung, F. R. K.; Mumford, David
11
1994
Pattern theory: A unifying perspective. Zbl 0939.68820
Mumford, David
6
1994
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
599
1993
What can be computed in algebraic geometry? Zbl 0846.13017
Bayer, Dave; Mumford, David
114
1993
Filtering, segmentation and depth. Zbl 0801.68171
Nitzberg, Mark; Mumford, David; Shiota, Takahiro
36
1993
Tata lectures on theta. III. Zbl 0744.14033
Mumford, David; Nori, Madhav; Norman, Peter
100
1991
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
552
1989
The red book of varieties and schemes. Zbl 0658.14001
Mumford, David
104
1988
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
12
1985
Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura. Zbl 0549.14014
Mumford, David
300
1984
Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman. Zbl 0509.14049
Mumford, David
362
1983
Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008
Mumford, David
158
1983
On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036
Mumford, David
19
1983
Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008
Mumford, D.; Fogarty, J.
251
1982
On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016
Harris, Joe; Mumford, David
167
1982
Algebraic geometry. I: Complex projective varieties. Corr. 2nd printing. Zbl 0456.14001
Mumford, David
1
1980
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
84
1979
An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021
Mumford, D.
48
1979
Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002
Mumford, D.
13
1978
Fields Medals. IV: An instinct for the key idea. Zbl 1225.01080
Mumford, David; Tate, John
1
1978
Stability of projective varieties. Zbl 0363.14003
Mumford, David
138
1977
Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012
Mumford, D.
97
1977
An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg de Vries equation and related non- linear equations. Zbl 0423.14007
Mumford, D.
47
1977
Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021
Bombieri, E.; Mumford, D.
44
1977
Stability of projective varieties. Zbl 0497.14004
Mumford, David
16
1977
Stability of projective varieties. Zbl 0376.14007
Mumford, David
2
1977
Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002
Mumford, David
225
1976
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
196
1976
Enriques’ classification of surfaces in char p. III. Zbl 0336.14010
Bombieri, E.; Mumford, D.
68
1976
Hilbert’s fourteenth problem - the finite generation of subrings such as rings of invariants. Zbl 0341.14019
Mumford, David
4
1976
Smooth compactification of locally symmetric varieties. Zbl 0334.14007
Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y.
166
1975
Curves and their Jacobians. Zbl 0316.14010
Mumford, David
90
1975
The self-intersection formula and the ’formule-clef’. Zbl 0341.14002
Lascu, A. T.; Mumford, D.; Scott, D. B.
8
1975
Matsusaka’s big theorem. Zbl 0321.14004
Liebermann, D.; Mumford, D.
6
1975
Pathologies. IV. Zbl 0315.14012
Mumford, David
6
1975
A new approach to compactifying locally symmetric varieties. Zbl 0322.32016
Mumford, David
4
1975
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012
Mumford, David
149
1974
Prym varieties. I. Zbl 0299.14018
Mumford, David
83
1974
Toroidal embeddings. I. Zbl 0271.14017
Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard
426
1973
A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017
Horrocks, G.; Mumford, D.
69
1973
A remark on the paper of M. Schlessinger. Zbl 0279.32007
Mumford, David
6
1973
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
128
1972
An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011
Mumford, David
81
1972
An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020
Mumford, David
63
1972
Introduction to the theory of moduli. Zbl 0242.14004
Mumford, David; Suominen, Kalevi
20
1972
The irreducibility of the space of curves of a given genus. Zbl 0233.14008
Deligne, Pierre; Mumford, D.
4
1972
Rational equivalence of 0-cycles on surfaces. Zbl 0228.14005
Mumford, D.
3
1972
An analytic construction of degenerating curves over complete local rings. Zbl 0243.14010
Mumford, David
2
1972
Theta characteristics of an algebraic curve. Zbl 0216.05904
Mumford, David
103
1971
A remark on Mahler’s compactness theorem. Zbl 0215.23202
Mumford, D.
59
1971
The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023
Mumford, David
10
1971
Abelian varieties. Zbl 0223.14022
Mumford, David
527
1970
Varieties defined by quadratic equations. Zbl 0198.25801
Mumford, D.
168
1970
The irreducibility of the space of curves of a given genus. Zbl 0181.48803
Deligne, Pierre; Mumford, D.
477
1969
Rational equivalence of O-cycles on surfaces. Zbl 0184.46603
Mumford, D.
98
1969
A note of Shimura’s paper: Discontinuous groups and Abelian varieties. Zbl 0169.23301
Mumford, D.
61
1969
Bi-extensions of formal groups. Zbl 0216.33101
Mumford, D.
15
1969
Enriques’ classification of surfaces in char p. I. Zbl 0188.53201
Mumford, D.
14
1969
Periods of a moduli space of bundles on curves. Zbl 0174.52902
Mumford, D.; Newstead, P.
29
1968
...and 16 more Documents
all top 5

Cited by 6,562 Authors

51 Ballico, Edoardo
39 Biswas, Indranil
37 Geng, Xianguo
32 Zarkhin, Yuriĭ Gennad’evich
24 Bauer, Martin
23 Brion, Michel
20 Harris, Joseph Daniel
20 Michor, Peter Wolfram
19 Abramovich, Dan
19 Lange, Herbert
19 Oort, Frans
18 Bruveris, Martins
18 Hulek, Klaus
17 Eisenbud, David
17 Pirola, Gian Pietro
17 Voisin, Claire
16 Catanese, Fabrizio M. E.
16 Kollár, János
16 Mumford, David Bryant
16 Reichstein, Zinovy B.
15 Beauville, Arnaud
15 Farkas, Gavril
15 Katsura, Toshiyuki
15 Previato, Emma
15 Renner, Lex E.
14 Debarre, Olivier
14 Ichikawa, Takashi
14 Tai, Xuecheng
13 Chen, Ke
13 Kleiman, Steven Lawrence
13 Pandharipande, Rahul
13 Salvati Manni, Riccardo
13 Zuo, Kang
12 Kumar, Shrawan
12 Viehweg, Eckart
11 Alper, Jarod
11 Brodmann, Markus P.
11 Chen, Dawei
11 Duits, Remco
11 Grushevsky, Samuel
11 Gurjar, Rajendra Vasant
11 Harris, Michael Howard
11 Hausen, Jürgen
11 Kannan, Subramaniam Senthamarai
11 Katzarkov, Ludmil
11 Lesfari, Ahmed
11 Nicaise, Johannes
11 Schröer, Stefan
11 Silverman, Joseph Hillel
11 Srivastava, Anuj
11 Sturmfels, Bernd
11 Van der Geer, Gerard
11 van Moerbeke, Pierre
10 Adler, Mark
10 Arapura, Donu
10 Bismut, Jean-Michel
10 Braides, Andrea
10 Caporaso, Lucia
10 Chardin, Marc
10 Ciliberto, Ciro
10 Cremers, Daniel
10 Donagi, Ron Y.
10 Edidin, Dan
10 Ford, Timothy J.
10 Hassett, Brendan
10 Korotkin, Dmitrii A.
10 Leaci, Antonio
10 Matsutani, Shigeki
10 Melo, Margarida
10 Nguyen Minh Chuong
10 Sankaran, Gregory Kumar
10 Sommese, Andrew John
10 Soulé, Christophe
10 Srinivas, Vasudevan
10 Viviani, Filippo
10 Vogel, Wolfgang
10 Weinmann, Andreas
10 Zeng, Xin
9 Alexeev, Valery A.
9 Bastianelli, Francesco
9 Bloch, Spencer J.
9 Bost, Jean-Benoît
9 Carriero, Michele
9 Chambolle, Antonin
9 Dolgachev, Igor’ Vladimirovich
9 Ellia, Philippe
9 Fan, Engui
9 Fried, Michael David
9 Gross, Mark
9 Jonsson, Mattias
9 Kani, Ernst J.
9 Kato, Fumiharu
9 Kirwan, Frances Clare
9 Lan, Kai-Wen
9 Lee, Yongnam
9 Lieblich, Max David
9 Liedtke, Christian
9 Mabuchi, Toshiki
9 Malaspina, Francesco
9 Manin, Yuri Ivanovich
...and 6,462 more Authors
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Cited in 518 Serials

350 Mathematische Annalen
342 Inventiones Mathematicae
288 Journal of Algebra
249 Transactions of the American Mathematical Society
232 Compositio Mathematica
216 Duke Mathematical Journal
213 Advances in Mathematics
164 Journal of Pure and Applied Algebra
146 Annales de l’Institut Fourier
145 Mathematische Zeitschrift
134 Proceedings of the American Mathematical Society
124 Manuscripta Mathematica
112 Communications in Mathematical Physics
99 Journal of Algebraic Geometry
88 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
87 Journal of Number Theory
82 Journal of Geometry and Physics
80 Communications in Algebra
78 Tohoku Mathematical Journal. Second Series
74 Journal of the American Mathematical Society
66 Journal für die Reine und Angewandte Mathematik
65 International Journal of Mathematics
65 Journal of Mathematical Imaging and Vision
63 Nuclear Physics. B
60 Geometriae Dedicata
51 Journal of High Energy Physics
50 Journal of Symbolic Computation
48 Israel Journal of Mathematics
47 Michigan Mathematical Journal
44 Nagoya Mathematical Journal
44 Transformation Groups
43 Proceedings of the Japan Academy. Series A
43 Bulletin of the American Mathematical Society. New Series
42 Annali di Matematica Pura ed Applicata. Serie Quarta
42 Publications of the Research Institute for Mathematical Sciences, Kyoto University
41 Archiv der Mathematik
40 SIAM Journal on Imaging Sciences
39 Journal of Mathematical Physics
38 Geometry & Topology
37 Publications Mathématiques
37 Annals of Mathematics. Second Series
35 Bulletin de la Société Mathématique de France
34 Letters in Mathematical Physics
33 Mathematics of Computation
33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
32 International Journal of Computer Vision
31 Mathematische Nachrichten
31 Journal of the European Mathematical Society (JEMS)
31 Comptes Rendus. Mathématique. Académie des Sciences, Paris
30 Selecta Mathematica. New Series
28 Linear Algebra and its Applications
28 European Journal of Mathematics
27 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
27 Functional Analysis and its Applications
27 Pattern Recognition
27 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
27 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
27 Calculus of Variations and Partial Differential Equations
27 Journal of Mathematical Sciences (New York)
26 Journal of Scientific Computing
26 Journal de Théorie des Nombres de Bordeaux
25 Computer Methods in Applied Mechanics and Engineering
25 Rendiconti del Seminario Matematico della Università di Padova
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 Acta Mathematica
23 Indagationes Mathematicae. New Series
22 Annals of Global Analysis and Geometry
21 Theoretical and Mathematical Physics
21 Osaka Journal of Mathematics
21 The Journal of Geometric Analysis
21 Bulletin of the American Mathematical Society
20 Mathematical Notes
20 Mathematical Proceedings of the Cambridge Philosophical Society
20 Bulletin des Sciences Mathématiques
20 Algebra & Number Theory
20 Kyoto Journal of Mathematics
19 Archive for Rational Mechanics and Analysis
19 Applied Mathematics and Computation
19 Topology and its Applications
19 Proceedings of the Steklov Institute of Mathematics
18 Physics Letters. A
18 Inverse Problems and Imaging
17 Chaos, Solitons and Fractals
17 Journal of Soviet Mathematics
17 Differential Geometry and its Applications
17 Applied and Computational Harmonic Analysis
17 Documenta Mathematica
17 Communications in Contemporary Mathematics
16 Journal of Functional Analysis
16 Geometric and Functional Analysis. GAFA
16 Central European Journal of Mathematics
16 Journal of the Institute of Mathematics of Jussieu
15 Journal of Mathematical Analysis and Applications
15 Journal of the Mathematical Society of Japan
15 Acta Applicandae Mathematicae
15 Physica D
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
15 Advances in Geometry
15 International Journal of Number Theory
14 Computers & Mathematics with Applications
...and 418 more Serials
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Cited in 61 Fields

4,585 Algebraic geometry (14-XX)
984 Number theory (11-XX)
819 Several complex variables and analytic spaces (32-XX)
494 Differential geometry (53-XX)
485 Commutative algebra (13-XX)
391 Dynamical systems and ergodic theory (37-XX)
380 Computer science (68-XX)
369 Group theory and generalizations (20-XX)
337 Quantum theory (81-XX)
318 Partial differential equations (35-XX)
318 Information and communication theory, circuits (94-XX)
303 Numerical analysis (65-XX)
297 Global analysis, analysis on manifolds (58-XX)
274 Manifolds and cell complexes (57-XX)
239 Calculus of variations and optimal control; optimization (49-XX)
232 Functions of a complex variable (30-XX)
192 Associative rings and algebras (16-XX)
188 Topological groups, Lie groups (22-XX)
170 Nonassociative rings and algebras (17-XX)
121 Category theory; homological algebra (18-XX)
113 Algebraic topology (55-XX)
110 Field theory and polynomials (12-XX)
106 Mechanics of deformable solids (74-XX)
96 Biology and other natural sciences (92-XX)
89 Statistics (62-XX)
86 Combinatorics (05-XX)
86 Linear and multilinear algebra; matrix theory (15-XX)
79 Convex and discrete geometry (52-XX)
79 Mechanics of particles and systems (70-XX)
68 Special functions (33-XX)
67 \(K\)-theory (19-XX)
63 Operator theory (47-XX)
62 Ordinary differential equations (34-XX)
60 Relativity and gravitational theory (83-XX)
57 Operations research, mathematical programming (90-XX)
51 Functional analysis (46-XX)
49 Probability theory and stochastic processes (60-XX)
48 Geometry (51-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
39 Statistical mechanics, structure of matter (82-XX)
36 Systems theory; control (93-XX)
32 Difference and functional equations (39-XX)
28 Fluid mechanics (76-XX)
25 History and biography (01-XX)
25 Mathematical logic and foundations (03-XX)
24 Real functions (26-XX)
24 Measure and integration (28-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Abstract harmonic analysis (43-XX)
16 General and overarching topics; collections (00-XX)
16 Approximations and expansions (41-XX)
11 Potential theory (31-XX)
10 General topology (54-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
6 Mathematics education (97-XX)
5 General algebraic systems (08-XX)
5 Integral transforms, operational calculus (44-XX)
5 Optics, electromagnetic theory (78-XX)
5 Geophysics (86-XX)
2 Integral equations (45-XX)
2 Classical thermodynamics, heat transfer (80-XX)

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