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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, David; Mumford, D.; Mumford, David B.
Homepage: http://www.dam.brown.edu/people/mumford/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
Awards: Fields Medal (1974) · Shaw Prize (2006) · Wolf Prize (2008)
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Co-Authors

69 single-authored
9 Michor, Peter Wolfram
6 Nori, Madhav V.
4 Artin, Michael
4 Gleason, Andrew Mattei
4 Hughes-Hallett, Deborah
4 McCallum, William G.
4 Musili, C.
4 Osgood, Brad G.
4 Previato, Emma
4 Quinney, Douglas
4 Ramanujam, Chidambaram Padmanabhan
4 Stillman, Michael Eugene
4 Tecosky-Feldman, Jeff
4 Tucker, Thomas W.
3 Deligne, Pierre René
3 Flath, Daniel Evans
3 Gordon, Sheldon P.
3 Shiota, Takahiro
3 Tate, John Torrence jun.
3 Thrash, Joe B.
3 Zariski, Oscar
2 Ash, Avner
2 Barnsley, Michael Fielding
2 Bombieri, Enrico
2 Chai, Chingli
2 Chung, Fan
2 Falconer, Kenneth J.
2 Fogarty, John C.
2 Frame, Michael Lee
2 Jackson, Allyn
2 Kempf, George R.
2 Knudsen, Finn Faye
2 Lee, Ann B.
2 Lock, Patti Frazer
2 Manin, Yuri Ivanovich
2 Micheli, Mario
2 Neeman, Amnon
2 Nguyen Minh Chuong
2 Norman, Peter
2 Rapoport, Michael
2 Raskind, Wayne
2 Scott, Dana Stewart
2 Series, Caroline
2 Shah, Jayant
2 Stewart, Ian Nicholas
2 Tai, Yungsheng
2 Umemura, Hiroshi
2 Wright, David James
1 Abhyankar, Shreeram Shankar
1 Abhyankar, Yvonne
1 Arbarello, Enrico
1 Atiyah, Michael Francis
1 Bajai, Chanderjit
1 Balaji, Vikraman
1 Barrallo, Javier
1 Bass, Hyman
1 Bayer, David Allen
1 Bergman, George M.
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 Gieseker, David
1 Gordon, Gaile G.
1 Greenberg, Marvin Jay
1 Gurdian, Rodolfo
1 Haboush, William J.
1 Hallinan, Peter W.
1 Harbater, Dale
1 Harris, Joseph Daniel
1 Hartshorne, Robin
1 Heinzer, William J.
1 Helgason, Sigurdur
1 Hironaka, Heisuke
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 Khrennikov, Andreĭ Yur’evich
1 Kirwan, Frances Clare
1 Kleiman, Steven Lawrence
1 Kunz, Ernst
...and 51 more Co-Authors
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Serials

13 Notices of the American Mathematical Society
9 American Journal of Mathematics
5 Inventiones Mathematicae
4 Ergebnisse der Mathematik und ihrer Grenzgebiete
4 Modern Birkhäuser Classics
3 International Journal of Computer Vision
3 Lecture Notes in Mathematics
3 Progress in Mathematics
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 Grundlehren der Mathematischen Wissenschaften
2 Mathematicians of Our Time
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 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
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Fields

76 Algebraic geometry (14-XX)
23 History and biography (01-XX)
18 General and overarching topics; collections (00-XX)
17 Computer science (68-XX)
11 Global analysis, analysis on manifolds (58-XX)
8 Partial differential equations (35-XX)
8 Statistics (62-XX)
7 Group theory and generalizations (20-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Number theory (11-XX)
6 Differential geometry (53-XX)
6 Probability theory and stochastic processes (60-XX)
5 Commutative algebra (13-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Real functions (26-XX)
4 Functions of a complex variable (30-XX)
3 Topological groups, Lie groups (22-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
2 Mathematics education (97-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 9,319 times in 7,434 Documents Cited by Year
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
637
1994
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
627
1989
The irreducibility of the space of curves of a given genus. Zbl 0181.48803
Deligne, Pierre; Mumford, D.
505
1969
Abelian varieties. Zbl 0223.14022
Mumford, David
476
1970
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.
421
1966
Geometric invariant theory. Zbl 0147.39304
Mumford, D.
328
1965
The topology of normal singularities of an algebraic surface and a criterion for simplicity. Zbl 0108.16801
Mumford, D.
258
1961
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
254
1983
Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008
Mumford, D.; Fogarty, J.
246
1982
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
232
1984
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
205
1976
Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002
Mumford, David
204
1976
On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016
Harris, Joe; Mumford, David
182
1982
Smooth compactification of locally symmetric varieties. Zbl 0334.14007
Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y.
172
1975
On the equations defining Abelian varieties. I-III. Zbl 0219.14024
Mumford, D.
171
1966
Varieties defined by quadratic equations. Zbl 0198.25801
Mumford, David
160
1970
Stability of projective varieties. Zbl 0363.14003
Mumford, David
145
1977
Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008
Mumford, David
140
1983
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012
Mumford, David
139
1974
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
133
1972
What can be computed in algebraic geometry? Zbl 0846.13017
Bayer, Dave; Mumford, David
119
1993
Theta characteristics of an algebraic curve. Zbl 0216.05904
Mumford, David
114
1971
Rational equivalence of O-cycles on surfaces. Zbl 0184.46603
Mumford, D.
108
1969
Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012
Mumford, D.
105
1977
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
103
2006
Tata lectures on theta. III. Zbl 0744.14033
Mumford, David; Nori, Madhav; Norman, Peter
101
1991
The red book of varieties and schemes. Zbl 0658.14001
Mumford, David
101
1988
Curves and their Jacobians. Zbl 0316.14010
Mumford, David
89
1975
Further pathologies in algebraic geometry. Zbl 0114.13106
Mumford, D.
86
1962
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
85
1979
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
85
1999
An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011
Mumford, David
85
1972
Families of abelian varieties. Zbl 0199.24601
Mumford, D.
81
1966
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
79
2007
Elastica and computer vision. Zbl 0798.53003
Mumford, David
78
1994
Prym varieties. I. Zbl 0299.14018
Mumford, David
78
1974
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
78
1971
Enriques’ classification of surfaces in char p. III. Zbl 0336.14010
Bombieri, E.; Mumford, D.
76
1976
A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006
Ness, Linda
72
1984
An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020
Mumford, David
69
1972
A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017
Horrocks, G.; Mumford, D.
68
1973
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
64
2008
A remark on Mahler’s compactness theorem. Zbl 0215.23202
Mumford, D.
64
1971
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
61
2005
A note of Shimura’s paper: Discontinuous groups and Abelian varieties. Zbl 0169.23301
Mumford, D.
60
1969
Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001
Mumford, David
58
1995
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
56
2008
Two fundamental theorems on deformations of polarized varieties. Zbl 0128.15505
Matsusaka, T.; Mumford, D.
56
1964
An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021
Mumford, D.
51
1979
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002
Mumford, David; Series, Caroline; Wright, David
50
2002
Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021
Bombieri, E.; Mumford, D.
47
1977
Pathologies. III. Zbl 0146.42403
Mumford, D.
44
1967
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.
41
1977
Filtering, segmentation and depth. Zbl 0801.68171
Nitzberg, Mark; Mumford, David; Shiota, Takahiro
41
1993
Periods of a moduli space of bundles on curves. Zbl 0174.52902
Mumford, D.; Newstead, P.
37
1968
Abelian quotients of the Teichmüller modular group. Zbl 0173.22903
Mumford, D.
32
1967
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
32
2010
The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661
Lee, Ann B.; Pedersen, Kim S.; Mumford, David
29
2003
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
23
2014
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.
21
1965
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
20
2013
A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009
Michor, Peter W.; Mumford, David
18
2013
Picard groups of moduli problems. Zbl 0187.42801
Mumford, D.
18
1965
On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036
Mumford, David
17
1983
Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901
Oort, F.; Mumford, D.
17
1968
Introduction to the theory of moduli. Zbl 0242.14004
Mumford, David; Suominen, Kalevi
17
1972
A stochastic grammar of images. Zbl 1198.68160
Zhu, Song-Chun; Mumford, David
17
2006
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
16
2015
Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002
Mumford, David; Desolneux, Agnès
16
2010
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
15
2007
Pattern theory: The mathematics of perception. Zbl 1057.91072
Mumford, David
15
2002
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
14
2007
Stability of projective varieties. Zbl 0497.14004
Mumford, David
14
1977
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
14
2013
Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
14
2007
Pathologies of modular algebraic surfaces. Zbl 0138.42002
Mumford, D.
14
1961
Bi-extensions of formal groups. Zbl 0216.33101
Mumford, D.
14
1969
Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002
Mumford, David
14
2005
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
Enriques’ classification of surfaces in char p. I. Zbl 0188.53201
Mumford, D.
13
1969
Projective invariants of projective structures and applications. Zbl 0154.20702
Mumford, D.
13
1963
The dawning of the age of stochasticity. Zbl 0962.60003
Mumford, David
12
2000
Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002
Mumford, D.
12
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
Chordal completions of planar graphs. Zbl 0809.05038
Chung, F. R. K.; Mumford, David
11
1994
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
11
1985
2D-shape analysis using conformal mapping. Zbl 1477.68492
Sharon, E.; Mumford, D.
10
2006
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
8
2007
The self-intersection formula and the ’formule-clef’. Zbl 0341.14002
Lascu, A. T.; Mumford, D.; Scott, D. B.
8
1975
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
7
2001
Pathologies. IV. Zbl 0315.14012
Mumford, David
7
1975
Lectures on curves on a algebraic surface. Zbl 0187.42702
Mumford, D.
7
1968
Pattern theory: A unifying perspective. Zbl 0939.68820
Mumford, David
6
1994
Algebraic geometry II. Zbl 1325.14001
Mumford, David; Oda, Tadao
6
2015
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
6
2007
A remark on the paper of M. Schlessinger. Zbl 0279.32007
Mumford, David
6
1973
Matsusaka’s big theorem. Zbl 0321.14004
Liebermann, D.; Mumford, D.
6
1975
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
1
2016
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila
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
16
2015
Algebraic geometry II. Zbl 1325.14001
Mumford, David; Oda, Tadao
6
2015
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
23
2014
Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001
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.
20
2013
A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009
Michor, Peter W.; Mumford, David
18
2013
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
14
2013
Introduction to commutative algebra and algebraic geometry. Transl. from the German by Michael Ackerman. With a preface by David Mumford. Reprint of the 1985 edition. Zbl 1263.13001
Kunz, Ernst
4
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
Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047
Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael
1
2012
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
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
Intuition and rigor and Enriques’s quest. Zbl 1268.14003
Mumford, David
4
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
32
2010
Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002
Mumford, David; Desolneux, Agnès
16
2010
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
64
2008
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
56
2008
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
79
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
15
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
14
2007
Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
14
2007
Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043
Mumford, David
8
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
6
2007
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
103
2006
A stochastic grammar of images. Zbl 1198.68160
Zhu, Song-Chun; Mumford, David
17
2006
2D-shape analysis using conformal mapping. Zbl 1477.68492
Sharon, E.; Mumford, D.
10
2006
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
61
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
29
2003
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002
Mumford, David; Series, Caroline; Wright, David
50
2002
Pattern theory: The mathematics of perception. Zbl 1057.91072
Mumford, David
15
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
7
2001
The dawning of the age of stochasticity. Zbl 0962.60003
Mumford, David
12
2000
The dawning of the age of stochasticity. Zbl 1149.00309
Mumford, David
2
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
85
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
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
Trends in the profession of mathematics. Zbl 1288.00054
Mumford, David
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
58
1995
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
637
1994
Elastica and computer vision. Zbl 0798.53003
Mumford, David
78
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
What can be computed in algebraic geometry? Zbl 0846.13017
Bayer, Dave; Mumford, David
119
1993
Filtering, segmentation and depth. Zbl 0801.68171
Nitzberg, Mark; Mumford, David; Shiota, Takahiro
41
1993
Tata lectures on theta. III. Zbl 0744.14033
Mumford, David; Nori, Madhav; Norman, Peter
101
1991
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
627
1989
The red book of varieties and schemes. Zbl 0658.14001
Mumford, David
101
1988
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
11
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
232
1984
A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006
Ness, Linda
72
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
254
1983
Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008
Mumford, David
140
1983
On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036
Mumford, David
17
1983
Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008
Mumford, D.; Fogarty, J.
246
1982
On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016
Harris, Joe; Mumford, David
182
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
85
1979
An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021
Mumford, D.
51
1979
Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002
Mumford, D.
12
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
145
1977
Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012
Mumford, D.
105
1977
Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021
Bombieri, E.; Mumford, D.
47
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.
41
1977
Stability of projective varieties. Zbl 0497.14004
Mumford, David
14
1977
Stability of projective varieties. Zbl 0376.14007
Mumford, David
2
1977
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
205
1976
Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002
Mumford, David
204
1976
Enriques’ classification of surfaces in char p. III. Zbl 0336.14010
Bombieri, E.; Mumford, D.
76
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.
172
1975
Curves and their Jacobians. Zbl 0316.14010
Mumford, David
89
1975
The self-intersection formula and the ’formule-clef’. Zbl 0341.14002
Lascu, A. T.; Mumford, D.; Scott, D. B.
8
1975
Pathologies. IV. Zbl 0315.14012
Mumford, David
7
1975
Matsusaka’s big theorem. Zbl 0321.14004
Liebermann, D.; Mumford, D.
6
1975
A new approach to compactifying locally symmetric varieties. Zbl 0322.32016
Mumford, David
3
1975
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012
Mumford, David
139
1974
Prym varieties. I. Zbl 0299.14018
Mumford, David
78
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.
68
1973
A remark on the paper of M. Schlessinger. Zbl 0279.32007
Mumford, David
6
1973
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1
1973
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
133
1972
An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011
Mumford, David
85
1972
An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020
Mumford, David
69
1972
Introduction to the theory of moduli. Zbl 0242.14004
Mumford, David; Suominen, Kalevi
17
1972
The irreducibility of the space of curves of a given genus. Zbl 0233.14008
Deligne, Pierre; Mumford, D.
3
1972
Rational equivalence of 0-cycles on surfaces. Zbl 0228.14005
Mumford, D.
2
1972
Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001
Zariski, Oscar
2
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
114
1971
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
78
1971
A remark on Mahler’s compactness theorem. Zbl 0215.23202
Mumford, D.
64
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
476
1970
Varieties defined by quadratic equations. Zbl 0198.25801
Mumford, David
160
1970
...and 22 more Documents
all top 5

Cited by 6,675 Authors

55 Ballico, Edoardo
42 Biswas, Indranil
36 Zarkhin, Yuriĭ Gennad’evich
27 Bauer, Martin
23 Brion, Michel
22 Geng, Xianguo
21 Michor, Peter Wolfram
20 Harris, Joseph Daniel
19 Abramovich, Dan
19 Bruveris, Martins
19 Oort, Frans
19 Pirola, Gian Pietro
19 Tai, Xuecheng
18 Hulek, Klaus
18 Lange, Herbert
17 Eisenbud, David
17 Reichstein, Zinovy B.
17 Srivastava, Anuj
17 Voisin, Claire
16 Katsura, Toshiyuki
16 Kollár, János
16 Mumford, David Bryant
15 Beauville, Arnaud
15 Catanese, Fabrizio M. E.
15 Farkas, Gavril
14 Chen, Ke
14 Debarre, Olivier
14 Ichikawa, Takashi
13 Kannan, Subramaniam Senthamarai
13 Kleiman, Steven Lawrence
13 Previato, Emma
13 Zuo, Kang
12 Cremers, Daniel
12 Gurjar, Rajendra Vasant
12 Kumar, Shrawan
12 Renner, Lex E.
12 Salvati Manni, Riccardo
12 Schröer, Stefan
12 Van der Geer, Gerard
12 Viehweg, Eckart
11 Alper, Jarod
11 Brodmann, Markus P.
11 Caporaso, Lucia
11 Chen, Dawei
11 Dolgachev, Igor’ Vladimirovich
11 Duits, Remco
11 Edidin, Dan
11 Harris, Michael Howard
11 Lesfari, Ahmed
11 Nguyen Minh Chuong
11 Nicaise, Johannes
11 Pandharipande, Rahul
11 Silverman, Joseph Hillel
11 Sturmfels, Bernd
11 van Moerbeke, Pierre
11 Weinmann, Andreas
10 Adler, Mark
10 Arapura, Donu
10 Bismut, Jean-Michel
10 Braides, Andrea
10 Chambolle, Antonin
10 Chardin, Marc
10 Ciliberto, Ciro
10 Ellia, Philippe
10 Ford, Timothy J.
10 Grushevsky, Samuel
10 Harms, Philipp
10 Hassett, Brendan
10 Hausen, Jürgen
10 Kani, Ernst J.
10 Kato, Fumiharu
10 Katzarkov, Ludmil
10 Kirwan, Frances Clare
10 Leaci, Antonio
10 Sankaran, Gregory Kumar
10 Sommese, Andrew John
10 Soulé, Christophe
10 Srinivas, Vasudevan
10 Van den Bergh, Michel
10 Viviani, Filippo
10 Xu, Chenyang
10 Zhu, Wei
9 Alexeev, Valery A.
9 Bastianelli, Francesco
9 Bost, Jean-Benoît
9 Carriero, Michele
9 Chan, Tony Fan-Cheong
9 Donagi, Ron Y.
9 Esnault, Hélène
9 Focardi, Matteo
9 Gross, Mark
9 Korotkin, Dmitrii A.
9 Lan, Kai-Wen
9 Lee, Yongnam
9 Lieblich, Max David
9 Liedtke, Christian
9 Mabuchi, Toshiki
9 Manin, Yuri Ivanovich
9 Mazur, Barry
9 Mehta, Vikram Bhagvandas
...and 6,575 more Authors
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Cited in 548 Serials

356 Mathematische Annalen
344 Inventiones Mathematicae
270 Journal of Algebra
257 Transactions of the American Mathematical Society
239 Compositio Mathematica
222 Duke Mathematical Journal
199 Advances in Mathematics
158 Mathematische Zeitschrift
150 Annales de l’Institut Fourier
149 Journal of Pure and Applied Algebra
134 Manuscripta Mathematica
133 Proceedings of the American Mathematical Society
115 Communications in Mathematical Physics
99 Journal of Algebraic Geometry
88 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
82 Communications in Algebra
82 Journal of Mathematical Imaging and Vision
81 Tohoku Mathematical Journal. Second Series
74 Journal of Number Theory
72 Journal of the American Mathematical Society
70 Journal für die Reine und Angewandte Mathematik
69 International Journal of Mathematics
65 Geometriae Dedicata
59 Journal of Geometry and Physics
55 International Journal of Computer Vision
52 Israel Journal of Mathematics
48 Michigan Mathematical Journal
47 Nagoya Mathematical Journal
47 Transformation Groups
46 SIAM Journal on Imaging Sciences
45 Bulletin of the American Mathematical Society. New Series
44 Selecta Mathematica. New Series
43 Archiv der Mathematik
43 Proceedings of the Japan Academy. Series A
43 Publications of the Research Institute for Mathematical Sciences, Kyoto University
43 Journal of Symbolic Computation
42 Journal of High Energy Physics
40 Annali di Matematica Pura ed Applicata. Serie Quarta
38 Publications Mathématiques
38 Geometry & Topology
37 Journal of the European Mathematical Society (JEMS)
36 Journal of Mathematical Physics
36 Letters in Mathematical Physics
36 Annals of Mathematics. Second Series
35 Mathematics of Computation
35 Bulletin de la Société Mathématique de France
35 European Journal of Mathematics
33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
32 Computer Methods in Applied Mechanics and Engineering
31 Mathematische Nachrichten
30 Nuclear Physics. B
29 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
29 Journal of Scientific Computing
29 Calculus of Variations and Partial Differential Equations
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
28 Functional Analysis and its Applications
28 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
28 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
28 Journal de Théorie des Nombres de Bordeaux
28 Journal of Mathematical Sciences (New York)
26 Pattern Recognition
25 Rendiconti del Seminario Matematico della Università di Padova
25 Linear Algebra and its Applications
24 Annals of Global Analysis and Geometry
24 The Journal of Geometric Analysis
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 Acta Mathematica
22 Indagationes Mathematicae. New Series
22 Documenta Mathematica
21 Archive for Rational Mechanics and Analysis
21 Mathematical Notes
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21 Theoretical and Mathematical Physics
21 Osaka Journal of Mathematics
21 Bulletin of the American Mathematical Society
20 Bulletin des Sciences Mathématiques
20 Communications in Contemporary Mathematics
20 Inverse Problems and Imaging
20 Algebra & Number Theory
20 Kyoto Journal of Mathematics
19 Proceedings of the Steklov Institute of Mathematics
18 Applied Mathematics and Computation
18 Advances in Geometry
18 Journal of the Institute of Mathematics of Jussieu
18 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
18 Forum of Mathematics, Sigma
18 Journal de l’École Polytechnique – Mathématiques
17 Journal of Soviet Mathematics
17 Applied and Computational Harmonic Analysis
16 Journal of the Mathematical Society of Japan
16 Geometric and Functional Analysis. GAFA
16 Central European Journal of Mathematics
15 Journal of Functional Analysis
15 Topology and its Applications
15 Acta Applicandae Mathematicae
15 Differential Geometry and its Applications
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
15 Foundations of Computational Mathematics
14 Journal of Computational Physics
...and 448 more Serials
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348 Information and communication theory, circuits (94-XX)
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326 Partial differential equations (35-XX)
310 Global analysis, analysis on manifolds (58-XX)
281 Manifolds and cell complexes (57-XX)
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267 Calculus of variations and optimal control; optimization (49-XX)
242 Functions of a complex variable (30-XX)
200 Associative rings and algebras (16-XX)
193 Topological groups, Lie groups (22-XX)
162 Nonassociative rings and algebras (17-XX)
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24 Mathematical logic and foundations (03-XX)
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17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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12 Potential theory (31-XX)
9 General topology (54-XX)
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