Edit Profile (opens in new tab) Mumford, David Bryant Compute Distance To: Compute 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 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 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 0797.14004Mumford, D.; Fogarty, J.; Kirwan, F. 637 1994 Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036Mumford, David; Shah, Jayant 627 1989 The irreducibility of the space of curves of a given genus. Zbl 0181.48803Deligne, Pierre; Mumford, D. 505 1969 Abelian varieties. Zbl 0223.14022Mumford, David 476 1970 Toroidal embeddings. I. Zbl 0271.14017Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard 426 1973 Lectures on curves on an algebraic surface. Zbl 0187.42701Mumford, D. 421 1966 Geometric invariant theory. Zbl 0147.39304Mumford, D. 328 1965 The topology of normal singularities of an algebraic surface and a criterion for simplicity. Zbl 0108.16801Mumford, 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 0509.14049Mumford, David 254 1983 Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008Mumford, 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 0549.14014Mumford, David 232 1984 The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008Knudsen, Finn; Mumford, David 205 1976 Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002Mumford, David 204 1976 On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016Harris, Joe; Mumford, David 182 1982 Smooth compactification of locally symmetric varieties. Zbl 0334.14007Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y. 172 1975 On the equations defining Abelian varieties. I-III. Zbl 0219.14024Mumford, D. 171 1966 Varieties defined by quadratic equations. Zbl 0198.25801Mumford, David 160 1970 Stability of projective varieties. Zbl 0363.14003Mumford, David 145 1977 Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008Mumford, David 140 1983 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012Mumford, David 139 1974 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017Artin, M.; Mumford, D. 133 1972 What can be computed in algebraic geometry? Zbl 0846.13017Bayer, Dave; Mumford, David 119 1993 Theta characteristics of an algebraic curve. Zbl 0216.05904Mumford, David 114 1971 Rational equivalence of O-cycles on surfaces. Zbl 0184.46603Mumford, D. 108 1969 Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012Mumford, D. 105 1977 Riemannian geometries on spaces of plane curves. Zbl 1101.58005Michor, Peter W.; Mumford, David 103 2006 Tata lectures on theta. III. Zbl 0744.14033Mumford, David; Nori, Madhav; Norman, Peter 101 1991 The red book of varieties and schemes. Zbl 0658.14001Mumford, David 101 1988 Curves and their Jacobians. Zbl 0316.14010Mumford, David 89 1975 Further pathologies in algebraic geometry. Zbl 0114.13106Mumford, D. 86 1962 The spectrum of difference operators and algebraic curves. Zbl 0502.58032van 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 0945.14001Mumford, David 85 1999 An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011Mumford, David 85 1972 Families of abelian varieties. Zbl 0199.24601Mumford, D. 81 1966 An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007Michor, Peter W.; Mumford, David 79 2007 Elastica and computer vision. Zbl 0798.53003Mumford, David 78 1994 Prym varieties. I. Zbl 0299.14018Mumford, David 78 1974 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020Zariski, O. 78 1971 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010Bombieri, E.; Mumford, D. 76 1976 A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006Ness, Linda 72 1984 An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020Mumford, David 69 1972 A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017Horrocks, G.; Mumford, D. 68 1973 A metric on shape space with explicit geodesics. Zbl 1142.58013Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David 64 2008 A remark on Mahler’s compactness theorem. Zbl 0215.23202Mumford, D. 64 1971 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010Michor, Peter W.; Mumford, David 61 2005 A note of Shimura’s paper: Discontinuous groups and Abelian varieties. Zbl 0169.23301Mumford, D. 60 1969 Algebraic Geometry. I: Complex projective varieties. Reprint of the corr. 2nd print. 1976. Zbl 0821.14001Mumford, David 58 1995 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001Mumford, David 56 2008 Two fundamental theorems on deformations of polarized varieties. Zbl 0128.15505Matsusaka, T.; Mumford, D. 56 1964 An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021Mumford, D. 51 1979 Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002Mumford, David; Series, Caroline; Wright, David 50 2002 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021Bombieri, E.; Mumford, D. 47 1977 Pathologies. III. Zbl 0146.42403Mumford, 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 0423.14007Mumford, D. 41 1977 Filtering, segmentation and depth. Zbl 0801.68171Nitzberg, Mark; Mumford, David; Shiota, Takahiro 41 1993 Periods of a moduli space of bundles on curves. Zbl 0174.52902Mumford, D.; Newstead, P. 37 1968 Abelian quotients of the Teichmüller modular group. Zbl 0173.22903Mumford, D. 32 1967 Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng 32 2010 The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661Lee, Ann B.; Pedersen, Kim S.; Mumford, David 29 2003 Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009Bruveris, Martins; Michor, Peter W.; Mumford, David 23 2014 Stochastic models for generic images. Zbl 1159.68598Mumford, David; Gidas, Basilis 22 2001 A remark on Mordell’s conjecture. Zbl 0151.27301Mumford, D. 21 1965 On Euler’s equation and ‘EPDiff’. Zbl 1274.35277Mumford, David; Michor, Peter W. 20 2013 A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009Michor, Peter W.; Mumford, David 18 2013 Picard groups of moduli problems. Zbl 0187.42801Mumford, D. 18 1965 On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036Mumford, David 17 1983 Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901Oort, F.; Mumford, D. 17 1968 Introduction to the theory of moduli. Zbl 0242.14004Mumford, David; Suominen, Kalevi 17 1972 A stochastic grammar of images. Zbl 1198.68160Zhu, 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 1314.00007Mumford, David; Series, Caroline; Wright, David 16 2015 Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002Mumford, 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 1112.14003Mumford, David 15 2007 Pattern theory: The mathematics of perception. Zbl 1057.91072Mumford, 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 1112.14002Mumford, David 14 2007 Stability of projective varieties. Zbl 0497.14004Mumford, David 14 1977 Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005Micheli, 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 0138.42002Mumford, D. 14 1961 Bi-extensions of formal groups. Zbl 0216.33101Mumford, D. 14 1969 Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002Mumford, David 14 2005 Two- and three-dimensional patterns of the face. Zbl 0930.68140Hallinan, Peter W.; Gordon, Gaile G.; Yuille, A. L.; Giblin, Peter; Mumford, David 13 1999 Enriques’ classification of surfaces in char p. I. Zbl 0188.53201Mumford, D. 13 1969 Projective invariants of projective structures and applications. Zbl 0154.20702Mumford, D. 13 1963 The dawning of the age of stochasticity. Zbl 0962.60003Mumford, David 12 2000 Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002Mumford, D. 12 1978 Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks. Zbl 1276.37047Micheli, Mario; Michor, Peter W.; Mumford, David 12 2012 Chordal completions of planar graphs. Zbl 0809.05038Chung, F. R. K.; Mumford, David 11 1994 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015Mumford, David 11 1985 2D-shape analysis using conformal mapping. Zbl 1477.68492Sharon, E.; Mumford, D. 10 2006 The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023Mumford, David 10 1971 Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman. Reprint of the 1991 edition. Zbl 1124.14043Mumford, David 8 2007 The self-intersection formula and the ’formule-clef’. Zbl 0341.14002Lascu, 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 1012.68715Lee, Ann B.; Mumford, David; Huang, Jinggang 7 2001 Pathologies. IV. Zbl 0315.14012Mumford, David 7 1975 Lectures on curves on a algebraic surface. Zbl 0187.42702Mumford, D. 7 1968 Pattern theory: A unifying perspective. Zbl 0939.68820Mumford, David 6 1994 Algebraic geometry II. Zbl 1325.14001Mumford, 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 0279.32007Mumford, David 6 1973 Matsusaka’s big theorem. Zbl 0321.14004Liebermann, D.; Mumford, D. 6 1975 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Atiyah, 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 1338.01023Ladegaillerie, 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 1314.00007Mumford, David; Series, Caroline; Wright, David 16 2015 Algebraic geometry II. Zbl 1325.14001Mumford, David; Oda, Tadao 6 2015 Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009Bruveris, Martins; Michor, Peter W.; Mumford, David 23 2014 Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001Abhyankar, 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 1274.35277Mumford, David; Michor, Peter W. 20 2013 A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009Michor, Peter W.; Mumford, David 18 2013 Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005Micheli, 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 1263.13001Kunz, Ernst 4 2013 Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks. Zbl 1276.37047Micheli, Mario; Michor, Peter W.; Mumford, David 12 2012 Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047Stewart, 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 1284.01048Stewart, 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 1268.14003Mumford, David 4 2011 Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng 32 2010 Pattern theory. The stochastic analysis of real-world signals. Zbl 1210.94002Mumford, David; Desolneux, Agnès 16 2010 A metric on shape space with explicit geodesics. Zbl 1142.58013Younes, 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 1177.14001Mumford, David 56 2008 An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007Michor, 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 1112.14003Mumford, 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 1112.14002Mumford, 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 1124.14043Mumford, 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 1101.58005Michor, Peter W.; Mumford, David 103 2006 A stochastic grammar of images. Zbl 1198.68160Zhu, Song-Chun; Mumford, David 17 2006 2D-shape analysis using conformal mapping. Zbl 1477.68492Sharon, E.; Mumford, D. 10 2006 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010Michor, Peter W.; Mumford, David 61 2005 Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Zbl 1079.14002Mumford, David 14 2005 The nonlinear statistics of high-contrast patches in natural images. Zbl 1070.68661Lee, Ann B.; Pedersen, Kim S.; Mumford, David 29 2003 Indra’s pearls. The vision of Felix Klein. With cartoons by Larry Gonick. Zbl 1141.00002Mumford, David; Series, Caroline; Wright, David 50 2002 Pattern theory: The mathematics of perception. Zbl 1057.91072Mumford, David 15 2002 Stochastic models for generic images. Zbl 1159.68598Mumford, David; Gidas, Basilis 22 2001 Occlusion models for natural images: A statistical study of a scale-invariant dead leaves model. Zbl 1012.68715Lee, Ann B.; Mumford, David; Huang, Jinggang 7 2001 The dawning of the age of stochasticity. Zbl 0962.60003Mumford, David 12 2000 The dawning of the age of stochasticity. Zbl 1149.00309Mumford, 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 0945.14001Mumford, David 85 1999 Two- and three-dimensional patterns of the face. Zbl 0930.68140Hallinan, Peter W.; Gordon, Gaile G.; Yuille, A. L.; Giblin, Peter; Mumford, David 13 1999 Calculus. Single and multivariable. 2nd ed. Zbl 0913.26003Hughes-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 1288.00054Mumford, David 1 1998 Multivariable calculus. Zbl 0892.26002McCallum, 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 0821.14001Mumford, David 58 1995 Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004Mumford, D.; Fogarty, J.; Kirwan, F. 637 1994 Elastica and computer vision. Zbl 0798.53003Mumford, David 78 1994 Chordal completions of planar graphs. Zbl 0809.05038Chung, F. R. K.; Mumford, David 11 1994 Pattern theory: A unifying perspective. Zbl 0939.68820Mumford, David 6 1994 What can be computed in algebraic geometry? Zbl 0846.13017Bayer, Dave; Mumford, David 119 1993 Filtering, segmentation and depth. Zbl 0801.68171Nitzberg, Mark; Mumford, David; Shiota, Takahiro 41 1993 Tata lectures on theta. III. Zbl 0744.14033Mumford, David; Nori, Madhav; Norman, Peter 101 1991 Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036Mumford, David; Shah, Jayant 627 1989 The red book of varieties and schemes. Zbl 0658.14001Mumford, David 101 1988 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015Mumford, 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 0549.14014Mumford, David 232 1984 A stratification of the null cone via the moment map. (With an appendix by David Mumford). Zbl 0604.14006Ness, 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 0509.14049Mumford, David 254 1983 Towards an enumerative geometry of the moduli space of curves. Zbl 0554.14008Mumford, David 140 1983 On the Kodaira dimension of the Siegel modular variety. Zbl 0527.14036Mumford, David 17 1983 Geometric invariant theory. 2nd enlarged ed. Zbl 0504.14008Mumford, D.; Fogarty, J. 246 1982 On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016Harris, Joe; Mumford, David 182 1982 Algebraic geometry. I: Complex projective varieties. Corr. 2nd printing. Zbl 0456.14001Mumford, David 1 1980 The spectrum of difference operators and algebraic curves. Zbl 0502.58032van Moerbeke, Pierre; Mumford, David 85 1979 An algebraic surface with K ample, \((K^ 2)=9\), \(p_ g=q=O\). Zbl 0433.14021Mumford, D. 51 1979 Some footnotes to the work of C. P. Ramanujam. Zbl 0444.14002Mumford, D. 12 1978 Fields Medals. IV: An instinct for the key idea. Zbl 1225.01080Mumford, David; Tate, John 1 1978 Stability of projective varieties. Zbl 0363.14003Mumford, David 145 1977 Hirzebruch’s proportionality theorem in the non-compact case. Zbl 0365.14012Mumford, D. 105 1977 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021Bombieri, 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 0423.14007Mumford, D. 41 1977 Stability of projective varieties. Zbl 0497.14004Mumford, David 14 1977 Stability of projective varieties. Zbl 0376.14007Mumford, David 2 1977 The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008Knudsen, Finn; Mumford, David 205 1976 Algebraic geometry. I: Complex projective varieties. Zbl 0356.14002Mumford, David 204 1976 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010Bombieri, E.; Mumford, D. 76 1976 Hilbert’s fourteenth problem - the finite generation of subrings such as rings of invariants. Zbl 0341.14019Mumford, David 4 1976 Smooth compactification of locally symmetric varieties. Zbl 0334.14007Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y. 172 1975 Curves and their Jacobians. Zbl 0316.14010Mumford, David 89 1975 The self-intersection formula and the ’formule-clef’. Zbl 0341.14002Lascu, A. T.; Mumford, D.; Scott, D. B. 8 1975 Pathologies. IV. Zbl 0315.14012Mumford, David 7 1975 Matsusaka’s big theorem. Zbl 0321.14004Liebermann, D.; Mumford, D. 6 1975 A new approach to compactifying locally symmetric varieties. Zbl 0322.32016Mumford, David 3 1975 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Zbl 0326.14012Mumford, David 139 1974 Prym varieties. I. Zbl 0299.14018Mumford, David 78 1974 Toroidal embeddings. I. Zbl 0271.14017Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard 426 1973 A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017Horrocks, G.; Mumford, D. 68 1973 A remark on the paper of M. Schlessinger. Zbl 0279.32007Mumford, David 6 1973 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001Zariski, Oscar 1 1973 Some elementary examples of unirational varieties which are not rational. Zbl 0244.14017Artin, M.; Mumford, D. 133 1972 An analytic construction of degenerating curves over complete local rings. Zbl 0228.14011Mumford, David 85 1972 An analytic construction of degenerating Abelian varieties over complete rings. Zbl 0241.14020Mumford, David 69 1972 Introduction to the theory of moduli. Zbl 0242.14004Mumford, David; Suominen, Kalevi 17 1972 The irreducibility of the space of curves of a given genus. Zbl 0233.14008Deligne, Pierre; Mumford, D. 3 1972 Rational equivalence of 0-cycles on surfaces. Zbl 0228.14005Mumford, D. 2 1972 Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001Zariski, Oscar 2 1972 An analytic construction of degenerating curves over complete local rings. Zbl 0243.14010Mumford, David 2 1972 Theta characteristics of an algebraic curve. Zbl 0216.05904Mumford, David 114 1971 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020Zariski, O. 78 1971 A remark on Mahler’s compactness theorem. Zbl 0215.23202Mumford, D. 64 1971 The structure of the moduli spaces of curves and abelian varieties. Zbl 0222.14023Mumford, David 10 1971 Abelian varieties. Zbl 0223.14022Mumford, David 476 1970 Varieties defined by quadratic equations. Zbl 0198.25801Mumford, David 160 1970 ...and 22 more Documents all cited Publications top 5 cited Publications 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. 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