## Mumford, David Bryant

Compute Distance To:
 Author ID: mumford.david-b Published as: Mumford, David; Mumford, D.; Mumford, David B. more...less 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)
 Documents Indexed: 142 Publications since 1961, including 42 Books 5 Contributions as Editor · 5 Further Contributions Biographic References: 7 Publications Co-Authors: 112 Co-Authors with 72 Joint Publications 2,565 Co-Co-Authors
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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)

### 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.
1994
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
1989
The irreducibility of the space of curves of a given genus. Zbl 0181.48803
Deligne, Pierre; Mumford, D.
1969
Abelian varieties. Zbl 0223.14022
Mumford, David
1970
Toroidal embeddings. I. Zbl 0271.14017
Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard
1973
Lectures on curves on an algebraic surface. Zbl 0187.42701
Mumford, D.
1966
Geometric invariant theory. Zbl 0147.39304
Mumford, D.
1965
The topology of normal singularities of an algebraic surface and a criterion for simplicity. Zbl 0108.16801
Mumford, D.
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
1983
Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008
Mumford, D.; Fogarty, J.
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
1984
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
1976
Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002
Mumford, David
1976
On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016
Harris, Joe; Mumford, David
1982
Smooth compactification of locally symmetric varieties. Zbl 0334.14007
Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y.
1975
On the equations defining Abelian varieties. I-III. Zbl 0219.14024
Mumford, D.
1966
Varieties defined by quadratic equations. Zbl 0198.25801
Mumford, David
1970
Stability of projective varieties. Zbl 0363.14003
Mumford, David
1977
Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008
Mumford, David
1983
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012
Mumford, David
1974
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
1972
What can be computed in algebraic geometry? Zbl 0846.13017
Bayer, Dave; Mumford, David
1993
Theta characteristics of an algebraic curve. Zbl 0216.05904
Mumford, David
1971
Rational equivalence of O-cycles on surfaces. Zbl 0184.46603
Mumford, D.
1969
Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012
Mumford, D.
1977
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
2006
Tata lectures on theta. III. Zbl 0744.14033
Mumford, David; Nori, Madhav; Norman, Peter
1991
The red book of varieties and schemes. Zbl 0658.14001
Mumford, David
1988
Curves and their Jacobians. Zbl 0316.14010
Mumford, David
1975
Further pathologies in algebraic geometry. Zbl 0114.13106
Mumford, D.
1962
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
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
1999
An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011
Mumford, David
1972
Families of abelian varieties. Zbl 0199.24601
Mumford, D.
1966
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
2007
Elastica and computer vision. Zbl 0798.53003
Mumford, David
1994
Prym varieties. I. Zbl 0299.14018
Mumford, David
1974
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
1971
Enriques’ classification of surfaces in char p. III. Zbl 0336.14010
Bombieri, E.; Mumford, D.
1976
A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006
Ness, Linda
1984
An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020
Mumford, David
1972
A rank 2 vector bundle on P$$^4$$ with 15,000 symmetries. Zbl 0255.14017
Horrocks, G.; Mumford, D.
1973
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
2008
A remark on Mahler’s compactness theorem. Zbl 0215.23202
Mumford, D.
1971
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
2005
A note of Shimura’s paper: Discontinuous groups and Abelian varieties. Zbl 0169.23301
Mumford, D.
1969
Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001
Mumford, David
1995
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
2008
Two fundamental theorems on deformations of polarized varieties. Zbl 0128.15505
Matsusaka, T.; Mumford, D.
1964
An algebraic surface with K ample, $$(K^ 2)=9$$, $$p_ g=q=O$$. Zbl 0433.14021
Mumford, D.
1979
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002
Mumford, David; Series, Caroline; Wright, David
2002
Enriques’ classification of surfaces in char. $$p$$. II. Zbl 0348.14021
Bombieri, E.; Mumford, D.
1977
Pathologies. III. Zbl 0146.42403
Mumford, D.
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.
1977
Filtering, segmentation and depth. Zbl 0801.68171
Nitzberg, Mark; Mumford, David; Shiota, Takahiro
1993
Periods of a moduli space of bundles on curves. Zbl 0174.52902
1968
Abelian quotients of the Teichmüller modular group. Zbl 0173.22903
Mumford, D.
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
2010
The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661
Lee, Ann B.; Pedersen, Kim S.; Mumford, David
2003
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
2014
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
2001
A remark on Mordell’s conjecture. Zbl 0151.27301
Mumford, D.
1965
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
2013
A zoo of diffeomorphism groups on $$\mathbb R^n$$. Zbl 1364.22009
Michor, Peter W.; Mumford, David
2013
Picard groups of moduli problems. Zbl 0187.42801
Mumford, D.
1965
On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036
Mumford, David
1983
Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901
Oort, F.; Mumford, D.
1968
Introduction to the theory of moduli. Zbl 0242.14004
Mumford, David; Suominen, Kalevi
1972
A stochastic grammar of images. Zbl 1198.68160
Zhu, Song-Chun; Mumford, David
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
2015
Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002
Mumford, David; Desolneux, Agnès
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
2007
Pattern theory: The mathematics of perception. Zbl 1057.91072
Mumford, David
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
2007
Stability of projective varieties. Zbl 0497.14004
Mumford, David
1977
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
2013
Harmonic, wavelet and $$p$$-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
2007
Pathologies of modular algebraic surfaces. Zbl 0138.42002
Mumford, D.
1961
Bi-extensions of formal groups. Zbl 0216.33101
Mumford, D.
1969
Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002
Mumford, David
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
1999
Enriques’ classification of surfaces in char p. I. Zbl 0188.53201
Mumford, D.
1969
Projective invariants of projective structures and applications. Zbl 0154.20702
Mumford, D.
1963
The dawning of the age of stochasticity. Zbl 0962.60003
Mumford, David
2000
Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002
Mumford, D.
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
2012
Chordal completions of planar graphs. Zbl 0809.05038
Chung, F. R. K.; Mumford, David
1994
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
1985
2D-shape analysis using conformal mapping. Zbl 1477.68492
Sharon, E.; Mumford, D.
2006
The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023
Mumford, David
1971
Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043
Mumford, David
2007
The self-intersection formula and the ’formule-clef’. Zbl 0341.14002
Lascu, A. T.; Mumford, D.; Scott, D. B.
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
2001
Pathologies. IV. Zbl 0315.14012
Mumford, David
1975
Lectures on curves on a algebraic surface. Zbl 0187.42702
Mumford, D.
1968
Pattern theory: A unifying perspective. Zbl 0939.68820
Mumford, David
1994
Algebraic geometry II. Zbl 1325.14001
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
2007
A remark on the paper of M. Schlessinger. Zbl 0279.32007
Mumford, David
1973
Matsusaka’s big theorem. Zbl 0321.14004
Liebermann, D.; Mumford, D.
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.
2016
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila
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
2015
Algebraic geometry II. Zbl 1325.14001
2015
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
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
2014
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
2013
A zoo of diffeomorphism groups on $$\mathbb R^n$$. Zbl 1364.22009
Michor, Peter W.; Mumford, David
2013
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
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
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
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
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
2012
Intuition and rigor and Enriques’s quest. Zbl 1268.14003
Mumford, David
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
2010
Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002
Mumford, David; Desolneux, Agnès
2010
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
2008
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
2008
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
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
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
2007
Harmonic, wavelet and $$p$$-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
2007
Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043
Mumford, David
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
2007
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
2006
A stochastic grammar of images. Zbl 1198.68160
Zhu, Song-Chun; Mumford, David
2006
2D-shape analysis using conformal mapping. Zbl 1477.68492
Sharon, E.; Mumford, D.
2006
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
2005
Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002
Mumford, David
2005
The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661
Lee, Ann B.; Pedersen, Kim S.; Mumford, David
2003
Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002
Mumford, David; Series, Caroline; Wright, David
2002
Pattern theory: The mathematics of perception. Zbl 1057.91072
Mumford, David
2002
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
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
2001
The dawning of the age of stochasticity. Zbl 0962.60003
Mumford, David
2000
The dawning of the age of stochasticity. Zbl 1149.00309
Mumford, David
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
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
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.
1998
Trends in the profession of mathematics. Zbl 1288.00054
Mumford, David
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.
1997
Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001
Mumford, David
1995
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
1994
Elastica and computer vision. Zbl 0798.53003
Mumford, David
1994
Chordal completions of planar graphs. Zbl 0809.05038
Chung, F. R. K.; Mumford, David
1994
Pattern theory: A unifying perspective. Zbl 0939.68820
Mumford, David
1994
What can be computed in algebraic geometry? Zbl 0846.13017
Bayer, Dave; Mumford, David
1993
Filtering, segmentation and depth. Zbl 0801.68171
Nitzberg, Mark; Mumford, David; Shiota, Takahiro
1993
Tata lectures on theta. III. Zbl 0744.14033
Mumford, David; Nori, Madhav; Norman, Peter
1991
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
1989
The red book of varieties and schemes. Zbl 0658.14001
Mumford, David
1988
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
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
1984
A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006
Ness, Linda
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
1983
Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008
Mumford, David
1983
On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036
Mumford, David
1983
Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008
Mumford, D.; Fogarty, J.
1982
On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016
Harris, Joe; Mumford, David
1982
Algebraic geometry. I: Complex projective varieties. Corr. 2nd printing. Zbl 0456.14001
Mumford, David
1980
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
1979
An algebraic surface with K ample, $$(K^ 2)=9$$, $$p_ g=q=O$$. Zbl 0433.14021
Mumford, D.
1979
Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002
Mumford, D.
1978
Fields Medals. IV: An instinct for the key idea. Zbl 1225.01080
Mumford, David; Tate, John
1978
Stability of projective varieties. Zbl 0363.14003
Mumford, David
1977
Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012
Mumford, D.
1977
Enriques’ classification of surfaces in char. $$p$$. II. Zbl 0348.14021
Bombieri, E.; Mumford, D.
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.
1977
Stability of projective varieties. Zbl 0497.14004
Mumford, David
1977
Stability of projective varieties. Zbl 0376.14007
Mumford, David
1977
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
1976
Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002
Mumford, David
1976
Enriques’ classification of surfaces in char p. III. Zbl 0336.14010
Bombieri, E.; Mumford, D.
1976
Hilbert’s fourteenth problem - the finite generation of subrings such as rings of invariants. Zbl 0341.14019
Mumford, David
1976
Smooth compactification of locally symmetric varieties. Zbl 0334.14007
Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y.
1975
Curves and their Jacobians. Zbl 0316.14010
Mumford, David
1975
The self-intersection formula and the ’formule-clef’. Zbl 0341.14002
Lascu, A. T.; Mumford, D.; Scott, D. B.
1975
Pathologies. IV. Zbl 0315.14012
Mumford, David
1975
Matsusaka’s big theorem. Zbl 0321.14004
Liebermann, D.; Mumford, D.
1975
A new approach to compactifying locally symmetric varieties. Zbl 0322.32016
Mumford, David
1975
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012
Mumford, David
1974
Prym varieties. I. Zbl 0299.14018
Mumford, David
1974
Toroidal embeddings. I. Zbl 0271.14017
Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard
1973
A rank 2 vector bundle on P$$^4$$ with 15,000 symmetries. Zbl 0255.14017
Horrocks, G.; Mumford, D.
1973
A remark on the paper of M. Schlessinger. Zbl 0279.32007
Mumford, David
1973
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1973
Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017
Artin, M.; Mumford, D.
1972
An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011
Mumford, David
1972
An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020
Mumford, David
1972
Introduction to the theory of moduli. Zbl 0242.14004
Mumford, David; Suominen, Kalevi
1972
The irreducibility of the space of curves of a given genus. Zbl 0233.14008
Deligne, Pierre; Mumford, D.
1972
Rational equivalence of 0-cycles on surfaces. Zbl 0228.14005
Mumford, D.
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
1972
An analytic construction of degenerating curves over complete local rings. Zbl 0243.14010
Mumford, David
1972
Theta characteristics of an algebraic curve. Zbl 0216.05904
Mumford, David
1971
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
1971
A remark on Mahler’s compactness theorem. Zbl 0215.23202
Mumford, D.
1971
The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023
Mumford, David
1971
Abelian varieties. Zbl 0223.14022
Mumford, David
1970
Varieties defined by quadratic equations. Zbl 0198.25801
Mumford, David
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 21 Mathematical Proceedings of the Cambridge Philosophical Society 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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### Cited in 62 Fields

 4,732 Algebraic geometry (14-XX) 1,005 Number theory (11-XX) 853 Several complex variables and analytic spaces (32-XX) 523 Differential geometry (53-XX) 496 Commutative algebra (13-XX) 433 Computer science (68-XX) 382 Group theory and generalizations (20-XX) 356 Dynamical systems and ergodic theory (37-XX) 348 Information and communication theory, circuits (94-XX) 328 Numerical analysis (65-XX) 326 Partial differential equations (35-XX) 310 Global analysis, analysis on manifolds (58-XX) 281 Manifolds and cell complexes (57-XX) 276 Quantum theory (81-XX) 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) 126 Category theory; homological algebra (18-XX) 126 Mechanics of deformable solids (74-XX) 117 Algebraic topology (55-XX) 111 Field theory and polynomials (12-XX) 104 Statistics (62-XX) 103 Biology and other natural sciences (92-XX) 94 Combinatorics (05-XX) 87 Convex and discrete geometry (52-XX) 86 Linear and multilinear algebra; matrix theory (15-XX) 76 $$K$$-theory (19-XX) 69 Mechanics of particles and systems (70-XX) 66 Operations research, mathematical programming (90-XX) 64 Special functions (33-XX) 63 Operator theory (47-XX) 58 Ordinary differential equations (34-XX) 57 Probability theory and stochastic processes (60-XX) 54 Functional analysis (46-XX) 52 Relativity and gravitational theory (83-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 46 Geometry (51-XX) 32 Fluid mechanics (76-XX) 32 Statistical mechanics, structure of matter (82-XX) 32 Systems theory; control (93-XX) 29 Difference and functional equations (39-XX) 28 History and biography (01-XX) 27 Measure and integration (28-XX) 26 Real functions (26-XX) 24 Mathematical logic and foundations (03-XX) 19 General and overarching topics; collections (00-XX) 19 Abstract harmonic analysis (43-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Approximations and expansions (41-XX) 12 Potential theory (31-XX) 9 General topology (54-XX) 7 Geophysics (86-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Integral transforms, operational calculus (44-XX) 5 Mathematics education (97-XX) 4 General algebraic systems (08-XX) 4 Optics, electromagnetic theory (78-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

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