Edit Profile (opens in new tab) Mumford, David Bryant Co-Author Distance 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: 144 Publications since 1961, including 43 Books 5 Contributions as Editor · 5 Further Contributions Biographic References: 7 Publications Co-Authors: 120 Co-Authors with 75 Joint Publications 2,905 Co-Co-Authors all top 5 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 3 Flath, Daniel Evans 3 Gordon, Sheldon P. 3 Kempf, George R. 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 Knudsen, Finn Faye 2 Lee, Ann B. 2 Lock, Patti Frazer 2 Manin, Yuriĭ 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 Adams, Malcolm R. 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 1 Donagi, Ron Y. 1 Eglash, Ron 1 Egorov, Yuriĭ Vladimirovich 1 Furstenberg, Hillel 1 Giblin, Peter J. 1 Gidas, Basilis 1 Gieseker, David 1 Glazebrook, James F. 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 Jeffrey, Lisa Claire 1 Kalayciôglu, Selin 1 Katz, Nicholas Michael ...and 58 more Co-Authors all top 5 Serials 14 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 all top 5 Fields 77 Algebraic geometry (14-XX) 25 History and biography (01-XX) 19 General and overarching topics; collections (00-XX) 17 Computer science (68-XX) 12 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 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-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 Mathematical logic and foundations (03-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 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 11,094 times in 8,894 Documents Cited by ▼ Year ▼ Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004 Mumford, D.; Fogarty, J.; Kirwan, F. 822 1994 Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036 Mumford, David; Shah, Jayant 734 1989 The irreducibility of the space of curves of a given genus. Zbl 0181.48803 Deligne, Pierre; Mumford, D. 592 1969 Abelian varieties. Zbl 0223.14022 Mumford, David 563 1970 Toroidal embeddings. I. Zbl 0271.14017 Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard 498 1973 Lectures on curves on an algebraic surface. Zbl 0187.42701 Mumford, D. 467 1966 Geometric invariant theory. Zbl 0147.39304 Mumford, D. 360 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 349 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 339 1983 The topology of normal singularities of an algebraic surface and a criterion for simplicity. Zbl 0108.16801 Mumford, D. 300 1961 Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008 Mumford, D.; Fogarty, J. 267 1982 The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008 Knudsen, Finn; Mumford, David 240 1976 Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002 Mumford, David 225 1976 On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016 Harris, Joe; Mumford, David 224 1982 Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008 Mumford, David 207 1983 Varieties defined by quadratic equations (with an appendix by George Kempf). Zbl 0198.25801 Mumford, David 196 1970 Smooth compactification of locally symmetric varieties. Zbl 0334.14007 Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y. 190 1975 On the equations defining Abelian varieties. I-III. Zbl 0219.14024 Mumford, D. 188 1966 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012 Mumford, David 177 1974 Stability of projective varieties. Zbl 0363.14003 Mumford, David 166 1977 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017 Artin, M.; Mumford, D. 154 1972 Tata lectures on theta. III. Zbl 0744.14033 Mumford, David; Nori, Madhav; Norman, Peter 151 1991 Theta characteristics of an algebraic curve. Zbl 0216.05904 Mumford, David 137 1971 What can be computed in algebraic geometry? Zbl 0846.13017 Bayer, Dave; Mumford, David 129 1993 Prym varieties. I. Zbl 0299.14018 Mumford, David 127 1974 Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012 Mumford, D. 124 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 123 1999 Rational equivalence of O-cycles on surfaces. Zbl 0184.46603 Mumford, D. 119 1969 The red book of varieties and schemes. Zbl 0658.14001 Mumford, David 118 1988 Riemannian geometries on spaces of plane curves. Zbl 1101.58005 Michor, Peter W.; Mumford, David 116 2006 Families of abelian varieties. Zbl 0199.24601 Mumford, D. 103 1966 Curves and their Jacobians. Zbl 0316.14010 Mumford, David 97 1975 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010 Bombieri, E.; Mumford, D. 96 1976 An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011 Mumford, David 95 1972 Further pathologies in algebraic geometry. Zbl 0114.13106 Mumford, D. 92 1962 Elastica and computer vision. Zbl 0798.53003 Mumford, David 91 1994 The spectrum of difference operators and algebraic curves. Zbl 0502.58032 van Moerbeke, Pierre; Mumford, David 91 1979 An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007 Michor, Peter W.; Mumford, David 89 2007 An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020 Mumford, David 88 1972 A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006 Ness, Linda 85 1984 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001 Mumford, David 83 2008 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020 Zariski, O. 82 1971 Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001 Mumford, David 75 1995 A remark on Mahler’s compactness theorem. Zbl 0215.23202 Mumford, D. 74 1971 A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017 Horrocks, G.; Mumford, D. 74 1973 A metric on shape space with explicit geodesics. Zbl 1142.58013 Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David 72 2008 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010 Michor, Peter W.; Mumford, David 72 2005 A note of Shimura’s paper: Discontinuous groups and Abelian varieties. Zbl 0169.23301 Mumford, D. 68 1969 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021 Bombieri, E.; Mumford, D. 67 1977 Two fundamental theorems on deformations of polarized varieties. Zbl 0128.15505 Matsusaka, T.; Mumford, D. 67 1964 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 62 2010 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. 58 1977 Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002 Mumford, David; Series, Caroline; Wright, David 58 2002 2D-shape analysis using conformal mapping. Zbl 1477.68492 Sharon, E.; Mumford, D. 57 2006 An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021 Mumford, D. 57 1979 Filtering, segmentation and depth. Zbl 0801.68171 Nitzberg, Mark; Mumford, David; Shiota, Takahiro 53 1993 Pathologies. III. Zbl 0146.42403 Mumford, D. 48 1967 Abelian quotients of the Teichmüller modular group. Zbl 0173.22903 Mumford, D. 42 1967 Periods of a moduli space of bundles on curves. Zbl 0174.52902 Mumford, D.; Newstead, P. 39 1968 The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661 Lee, Ann B.; Pedersen, Kim S.; Mumford, David 31 2003 Projective invariants of projective structures and applications. Zbl 0154.20702 Mumford, D. 31 1963 On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036 Mumford, David 28 1983 Picard groups of moduli problems. Zbl 0187.42801 Mumford, D. 26 1965 Stochastic models for generic images. Zbl 1159.68598 Mumford, David; Gidas, Basilis 25 2001 Enriques’ classification of surfaces in char p. I. Zbl 0188.53201 Mumford, D. 25 1969 Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009 Bruveris, Martins; Michor, Peter W.; Mumford, David 25 2014 Bi-extensions of formal groups. Zbl 0216.33101 Mumford, D. 24 1969 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 23 2007 Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001 23 2007 On Euler’s equation and ‘EPDiff’. Zbl 1274.35277 Mumford, David; Michor, Peter W. 23 2013 Introduction to the theory of moduli. Zbl 0242.14004 Mumford, David; Suominen, Kalevi 22 1972 A remark on Mordell’s conjecture. Zbl 0151.27301 Mumford, D. 21 1965 Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002 Mumford, David; Desolneux, Agnès 19 2010 A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009 Michor, Peter W.; Mumford, David 19 2013 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 17 2007 Pattern theory: The mathematics of perception. Zbl 1057.91072 Mumford, David 17 2002 Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901 Oort, F.; Mumford, D. 17 1968 A stochastic grammar of images. Zbl 1198.68160 Zhu, Song-Chun; Mumford, David 17 2006 Pathologies of modular algebraic surfaces. Zbl 0138.42002 Mumford, D. 16 1961 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 Stability of projective varieties. Zbl 0497.14004 Mumford, David 16 1977 Two- and three-dimensional patterns of the face. Zbl 0930.68140 Hallinan, Peter W.; Gordon, Gaile G.; Yuille, A. L.; Giblin, Peter; Mumford, David 15 1999 Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002 Mumford, David 15 2005 Chordal completions of planar graphs. Zbl 0809.05038 Chung, F. R. K.; Mumford, David 14 1994 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 Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043 Mumford, David 13 2007 The dawning of the age of stochasticity. Zbl 0962.60003 Mumford, David 13 2000 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015 Mumford, David 13 1985 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 13 2012 Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002 Mumford, D. 12 1978 The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023 Mumford, David 11 1971 The self-intersection formula and the ’formule-clef’. Zbl 0341.14002 Lascu, A. T.; Mumford, D.; Scott, D. B. 11 1975 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 10 2013 Algebraic geometry II. Zbl 1325.14001 Mumford, David; Oda, Tadao 10 2015 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 8 2001 Hilbert’s fourteenth problem - the finite generation of subrings such as rings of invariants. Zbl 0341.14019 Mumford, David 8 1976 Lectures on curves on a algebraic surface. Zbl 0187.42702 Mumford, D. 8 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 7 2007 Pathologies. IV. Zbl 0315.14012 Mumford, David 7 1975 Matsusaka’s big theorem. Zbl 0321.14004 Liebermann, D.; Mumford, D. 7 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 10 2015 Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009 Bruveris, Martins; Michor, Peter W.; Mumford, David 25 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. 23 2013 A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009 Michor, Peter W.; Mumford, David 19 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 10 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 13 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 6 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 62 2010 Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002 Mumford, David; Desolneux, Agnès 19 2010 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001 Mumford, David 83 2008 A metric on shape space with explicit geodesics. Zbl 1142.58013 Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David 72 2008 An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007 Michor, Peter W.; Mumford, David 89 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 23 2007 Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001 23 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 17 2007 Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043 Mumford, David 13 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 7 2007 Riemannian geometries on spaces of plane curves. Zbl 1101.58005 Michor, Peter W.; Mumford, David 116 2006 2D-shape analysis using conformal mapping. Zbl 1477.68492 Sharon, E.; Mumford, D. 57 2006 A stochastic grammar of images. Zbl 1198.68160 Zhu, Song-Chun; Mumford, David 17 2006 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010 Michor, Peter W.; Mumford, David 72 2005 Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002 Mumford, David 15 2005 The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661 Lee, Ann B.; Pedersen, Kim S.; Mumford, David 31 2003 Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002 Mumford, David; Series, Caroline; Wright, David 58 2002 Pattern theory: The mathematics of perception. Zbl 1057.91072 Mumford, David 17 2002 Stochastic models for generic images. Zbl 1159.68598 Mumford, David; Gidas, Basilis 25 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 8 2001 The dawning of the age of stochasticity. Zbl 0962.60003 Mumford, David 13 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 123 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 15 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 75 1995 Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004 Mumford, D.; Fogarty, J.; Kirwan, F. 822 1994 Elastica and computer vision. Zbl 0798.53003 Mumford, David 91 1994 Chordal completions of planar graphs. Zbl 0809.05038 Chung, F. R. K.; Mumford, David 14 1994 Pattern theory: A unifying perspective. Zbl 0939.68820 Mumford, David 5 1994 What can be computed in algebraic geometry? Zbl 0846.13017 Bayer, Dave; Mumford, David 129 1993 Filtering, segmentation and depth. Zbl 0801.68171 Nitzberg, Mark; Mumford, David; Shiota, Takahiro 53 1993 Tata lectures on theta. III. Zbl 0744.14033 Mumford, David; Nori, Madhav; Norman, Peter 151 1991 Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036 Mumford, David; Shah, Jayant 734 1989 The red book of varieties and schemes. Zbl 0658.14001 Mumford, David 118 1988 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015 Mumford, David 13 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 349 1984 A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006 Ness, Linda 85 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 339 1983 Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008 Mumford, David 207 1983 On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036 Mumford, David 28 1983 Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008 Mumford, D.; Fogarty, J. 267 1982 On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016 Harris, Joe; Mumford, David 224 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 91 1979 An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021 Mumford, D. 57 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 166 1977 Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012 Mumford, D. 124 1977 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021 Bombieri, E.; Mumford, D. 67 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. 58 1977 Stability of projective varieties. Zbl 0497.14004 Mumford, David 16 1977 Stability of projective varieties. Zbl 0376.14007 Mumford, David 3 1977 The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008 Knudsen, Finn; Mumford, David 240 1976 Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002 Mumford, David 225 1976 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010 Bombieri, E.; Mumford, D. 96 1976 Hilbert’s fourteenth problem - the finite generation of subrings such as rings of invariants. Zbl 0341.14019 Mumford, David 8 1976 Smooth compactification of locally symmetric varieties. Zbl 0334.14007 Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y. 190 1975 Curves and their Jacobians. Zbl 0316.14010 Mumford, David 97 1975 The self-intersection formula and the ’formule-clef’. Zbl 0341.14002 Lascu, A. T.; Mumford, D.; Scott, D. B. 11 1975 Pathologies. IV. Zbl 0315.14012 Mumford, David 7 1975 Matsusaka’s big theorem. Zbl 0321.14004 Liebermann, D.; Mumford, D. 7 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 177 1974 Prym varieties. I. Zbl 0299.14018 Mumford, David 127 1974 Toroidal embeddings. I. Zbl 0271.14017 Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard 498 1973 A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017 Horrocks, G.; Mumford, D. 74 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. 154 1972 An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011 Mumford, David 95 1972 An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020 Mumford, David 88 1972 Introduction to the theory of moduli. Zbl 0242.14004 Mumford, David; Suominen, Kalevi 22 1972 The irreducibility of the space of curves of a given genus. Zbl 0233.14008 Deligne, Pierre; Mumford, D. 3 1972 An analytic construction of degenerating curves over complete local rings. Zbl 0243.14010 Mumford, David 2 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 Theta characteristics of an algebraic curve. Zbl 0216.05904 Mumford, David 137 1971 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020 Zariski, O. 82 1971 A remark on Mahler’s compactness theorem. Zbl 0215.23202 Mumford, D. 74 1971 The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023 Mumford, David 11 1971 Abelian varieties. Zbl 0223.14022 Mumford, David 563 1970 Varieties defined by quadratic equations (with an appendix by George Kempf). Zbl 0198.25801 Mumford, David 196 1970 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,916 Authors 55 Ballico, Edoardo 46 Biswas, Indranil 45 Geng, Xianguo 41 Zarkhin, Yuriĭ Gennad’evich 31 Bauer, Martin 28 Brion, Michel 25 Tai, Xuecheng 22 Pirola, Gian Pietro 21 Abramovich, Dan 21 Hulek, Klaus 21 Lange, Herbert 21 Michor, Peter Wolfram 20 Bruveris, Martins 20 Catanese, Fabrizio M. E. 20 Harris, Joseph Daniel 19 Katsura, Toshiyuki 19 Oort, Frans 19 Srivastava, Anuj 18 Eisenbud, David 18 Farkas, Gavril 18 Reichstein, Zinovy B. 18 Voisin, Claire 17 Kollár, János 17 Previato, Emma 17 Schröer, Stefan 16 Debarre, Olivier 16 Mumford, David Bryant 16 Pandharipande, Rahul 16 Van der Geer, Gerard 15 Beauville, Arnaud 15 Ciliberto, Ciro 15 Ichikawa, Takashi 15 Kannan, Senthamarai 15 Salvati Manni, Riccardo 14 Duong, Dao Van 14 Silverman, Joseph Hillel 14 Xu, Chenyang 13 Chen, Ke 13 Grushevsky, Samuel 13 Gurjar, Rajendra Vasant 13 Kirwan, Frances Clare 13 Kleiman, Steven Lawrence 13 Nguyen Minh Chuong 13 Renner, Lex E. 13 Rumpf, Martin 13 Zuo, Kang 12 Alexeev, Valery A. 12 Alper, Jarod 12 Caporaso, Lucia 12 Chen, Dawei 12 Cremers, Daniel 12 Dolgachev, Igor’ Vladimirovich 12 Donagi, Ron Y. 12 Kumar, Shrawan 12 Nicaise, Johannes 12 Sommese, Andrew John 12 Van den Bergh, Michel 12 Viehweg, Eckart 12 Viviani, Filippo 12 Zeng, Xin 12 Zhu, Wei 11 Arapura, Donu 11 Brodmann, Markus P. 11 Cavalieri, Renzo 11 Chambolle, Antonin 11 Duits, Remco 11 Edidin, Dan 11 Esnault, Hélène 11 Gross, Mark 11 Harris, Michael Howard 11 Hassett, Brendan 11 Hausen, Jürgen 11 He, Guoliang 11 Lesfari, Ahmed 11 Melo, Margarida 11 Polishchuk, Alexander Evgen’evich 11 Robert, Damien 11 Sankaran, Gregory Kumar 11 Sturmfels, Bernd 11 Tschinkel, Yuri 11 van Moerbeke, Pierre 11 Vistoli, Angelo 11 Weinmann, Andreas 11 Yang, Di 11 Yeung, Sai-Kee 11 Yu, Chia-Fu 10 Adler, Mark 10 Bastianelli, Francesco 10 Bismut, Jean-Michel 10 Bost, Jean-Benoît 10 Braides, Andrea 10 Ellia, Philippe 10 Ford, Timothy J. 10 Gritsenko, Valeriĭ Alekseevich 10 Harms, Philipp 10 Kani, Ernst J. 10 Kato, Fumiharu 10 Katzarkov, Ludmil 10 Kondō, Shigeyuki 10 Lan, Kai-Wen ...and 7,816 more Authors all top 5 Cited in 608 Serials 376 Mathematische Annalen 360 Inventiones Mathematicae 295 Journal of Algebra 278 Transactions of the American Mathematical Society 258 Compositio Mathematica 243 Advances in Mathematics 232 Duke Mathematical Journal 184 Mathematische Zeitschrift 179 Journal of Pure and Applied Algebra 166 Annales de l’Institut Fourier 152 Manuscripta Mathematica 144 Proceedings of the American Mathematical Society 126 Communications in Mathematical Physics 110 Journal of Algebraic Geometry 108 Journal of Mathematical Imaging and Vision 91 Journal of Geometry and Physics 89 Communications in Algebra 89 Annales Scientifiques de l’École Normale Supérieure. 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English Series 18 International Journal of Number Theory 17 Journal of Mathematical Analysis and Applications 17 Journal of Soviet Mathematics ...and 508 more Serials all top 5 Cited in 63 Fields 5,629 Algebraic geometry (14-XX) 1,242 Number theory (11-XX) 1,004 Several complex variables and analytic spaces (32-XX) 626 Differential geometry (53-XX) 583 Commutative algebra (13-XX) 516 Computer science (68-XX) 481 Dynamical systems and ergodic theory (37-XX) 454 Group theory and generalizations (20-XX) 425 Information and communication theory, circuits (94-XX) 404 Partial differential equations (35-XX) 389 Numerical analysis (65-XX) 374 Quantum theory (81-XX) 349 Global analysis, analysis on manifolds (58-XX) 330 Manifolds and cell complexes (57-XX) 294 Calculus of variations and optimal control; optimization (49-XX) 291 Functions of a complex variable (30-XX) 238 Associative rings and algebras (16-XX) 224 Topological groups, Lie groups (22-XX) 207 Nonassociative rings and algebras (17-XX) 152 Mechanics of deformable solids (74-XX) 149 Category theory; homological algebra (18-XX) 139 Algebraic topology (55-XX) 133 Field theory and polynomials (12-XX) 132 Combinatorics (05-XX) 123 Statistics (62-XX) 120 Biology and other natural sciences (92-XX) 111 Convex and discrete geometry (52-XX) 109 Linear and multilinear algebra; matrix theory (15-XX) 96 \(K\)-theory (19-XX) 86 Operator theory (47-XX) 83 Special functions (33-XX) 82 Mechanics of particles and systems (70-XX) 78 Relativity and gravitational theory (83-XX) 76 Functional analysis (46-XX) 73 Ordinary differential equations (34-XX) 73 Operations research, mathematical programming (90-XX) 69 Harmonic analysis on Euclidean spaces (42-XX) 68 Probability theory and stochastic processes (60-XX) 55 Geometry (51-XX) 46 Statistical mechanics, structure of matter (82-XX) 45 Difference and functional equations (39-XX) 38 Mathematical logic and foundations (03-XX) 37 History and biography (01-XX) 37 Systems theory; control (93-XX) 36 Measure and integration (28-XX) 34 Fluid mechanics (76-XX) 29 Real functions (26-XX) 28 General and overarching topics; collections (00-XX) 25 Abstract harmonic analysis (43-XX) 20 Approximations and expansions (41-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Potential theory (31-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 General topology (54-XX) 8 Integral transforms, operational calculus (44-XX) 8 Optics, electromagnetic theory (78-XX) 6 General algebraic systems (08-XX) 6 Geophysics (86-XX) 6 Mathematics education (97-XX) 4 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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