# David Mumford

#335

Most Influential Person Now

British/American mathematician

## David Mumford's AcademicInfluence.com Rankings

David Mumfordmathematics Degrees

Mathematics

#12

World Rank

#60

Historical Rank

Algebraic Geometry

#4

World Rank

#5

Historical Rank

Measure Theory

#103

World Rank

#163

Historical Rank

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Mathematics

## Why Is David Mumford Influential?

(Suggest an Edit or Addition)According to Wikipedia, David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.

## David Mumford's Published Works

### Published Works

- Optimal approximations by piecewise smooth functions and associated variational problems (1989) (5535)
- Tata Lectures on Theta I (1982) (1946)
- The irreducibility of the space of curves of given genus (1969) (1876)
- Geometric Invariant Theory (1965) (1503)
- Hierarchical Bayesian inference in the visual cortex. (2003) (1418)
- Toroidal Embeddings I (1973) (1088)
- Lectures on curves on an algebraic surface (1966) (928)
- Towards an Enumerative Geometry of the Moduli Space of Curves (1983) (869)
- The red book of varieties and schemes (1988) (836)
- The topology of normal singularities of an algebraic surface and a criterion for simplicity (1961) (701)
- On the computational architecture of the neocortex. II. The role of cortico-cortical loops. (1992) (680)
- Algebraic Geometry I: Complex Projective Varieties (1981) (675)
- On the Kodaira dimension of the moduli space of curves (1982) (669)
- Communications on Pure and Applied Mathematics (1989) (659)
- Statistics of natural images and models (1999) (655)
- Filters, Random Fields and Maximum Entropy (FRAME): Towards a Unified Theory for Texture Modeling (1998) (639)
- On the computational architecture of the neocortex (2004) (637)
- The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div". (1976) (591)
- The role of the primary visual cortex in higher level vision (1998) (536)
- Stability of projective varieties (1977) (505)
- Elastica and Computer Vision (1994) (503)
- Minimax Entropy Principle and Its Application to Texture Modeling (1997) (499)
- Abelian Varieties Tata Institute of Fundamental Research (1970) (483)
- On the computational architecture of the neocortex (2004) (449)
- Riemannian Geometries on Spaces of Plane Curves (2003) (418)
- Prior Learning and Gibbs Reaction-Diffusion (1997) (417)
- Some Elementary Examples of Unirational Varieties Which are Not Rational (1972) (393)
- Theta characteristics of an algebraic curve (1971) (372)
- Rational equivalence of 0-cycles on surfaces (1969) (326)
- Hirzebruch's proportionality theorem in the non-compact case (1977) (325)
- What Can Be Computed in Algebraic Geometry (1993) (315)
- An analytic construction of degenerating curves over complete local rings (1972) (286)
- The Nonlinear Statistics of High-Contrast Patches in Natural Images (2003) (284)
- Lectures on Curves on an Algebraic Surface. (AM-59) (1966) (269)
- Curves and their Jacobians (1975) (252)
- An analytic construction of degenerating abelian varieties over complete rings (1971) (248)
- A Metric on Shape Space with Explicit Geodesics (2007) (241)
- An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach (2006) (239)
- Stress and psychiatric disorder in rural Punjab (1997) (237)
- Stochastic models for generic images (2001) (232)
- Modeling and decoding motor cortical activity using a switching Kalman filter (2004) (231)
- Geometric invariant theory, Third Edition (1994) (230)
- Sociocultural Correlates of Eating Disorders among Asian Schoolgirls in Bradford (1991) (228)
- The spectrum of difference operators and algebraic curves (1979) (216)
- Neural activity in early visual cortex reflects behavioral experience and higher-order perceptual saliency (2002) (211)
- Statistics of range images (2000) (204)
- A note of Shimura's paper “discontinuous groups and abelian varieties” (1969) (203)
- Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms (2004) (203)
- The Bradford Somatic Inventory (1991) (200)
- 2D-Shape Analysis Using Conformal Mapping (2004) (195)
- Varieties Defined by Quadratic Equations (2010) (191)
- Enriques' classification of surfaces in char.p, III (1976) (187)
- Occlusion Models for Natural Images: A Statistical Study of a Scale-Invariant Dead Leaves Model (2004) (187)
- A rank 2 vector bundle on P4 with 15,000 symmetries (1973) (184)
- A Bayesian treatment of the stereo correspondence problem using half-occluded regions (1992) (183)
- A remark on Mahler’s compactness theorem (1971) (183)
- Two Fundamental Theorems on Deformations of Polarized Varieties (1964) (175)
- Stress and psychiatric disorder in urban Rawalpindi. Community survey. (2000) (169)
- On the equations defining abelian varieties. II (1967) (163)
- An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation , Korteweg deVries equation and related non-linear equations (1977) (161)
- Recruitment into psychiatry. (2002) (158)
- Prym Varieties I (1974) (152)
- The translation and evaluation of an Urdu version of the Hospital Anxiety and Depression Scale (1991) (151)
- An Algebraic Surface with \(K\) ample, \((K^2)= 9, p_g = q = 0\) (1979) (150)
- Pattern theory: a unifying perspective (1996) (149)
- Mathematical theories of shape: do they model perception? (1991) (149)
- Stress and Psychiatric Disorder in the Hindu Kush (1996) (134)
- Pattern Theory: The Stochastic Analysis of Real-World Signals (2010) (131)
- On the Kodaira dimension of the Siegel modular variety (1983) (128)
- FRAME: filters, random fields, and minimax entropy towards a unified theory for texture modeling (1996) (126)
- Survey of eating disorders in English‐medium schools in Lahore, Pakistan (1992) (123)
- The measurement of culture shock (1998) (121)
- Further Pathologies in Algebraic Geometry (1962) (117)
- On the equations defining abelian varieties. III (1967) (107)
- Projective Invariants of Projective Structures and Applications (2004) (106)
- The Dawning of the Age of Stochasticity (2000) (103)
- On the Computational Architecture of the Neocortex I: The Role of the Thalamo-Cortical Loop (2004) (102)
- On the equations defining abelian varieties. I (1966) (92)
- Pattern Theory: the Mathematics of Perception (2002) (91)
- Increased prevalence of bulimia nervosa among Asian schoolgirls. (1988) (91)
- 2D-Shape Analysis Using Conformal Mapping (2004) (90)
- Jacobian theta functions and differential equations (1984) (87)
- Periods of a Moduli Space of Bundles on Curves (1968) (86)
- Complex Analysis and Algebraic Geometry: Enriques' Classification of Surfaces in Char. p , II (1977) (85)
- Algebraic Geometry and Its Applications (1994) (84)
- Texture Segmentation by Minimizing Vector-Valued Energy Functionals: The Coupled-Membrane Model (1992) (84)
- Abelian quotients of the Teichmüller modular group (1967) (84)
- A pilot study of eating disorders in Mirpur (Pakistan) using an Urdu version of the eating attitudes test (1992) (84)
- Complex projective varieties (1995) (77)
- The ‘Dhat syndrome’ : a culturally determined symptom of depression? (1996) (73)
- Assembling virtual pots from 3D measurements of their fragments (2001) (71)
- A Remark on Mordell's Conjecture (1965) (60)
- Families of Abelian Varieties (2004) (59)
- GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES (2013) (56)
- GRADE: Gibbs reaction and diffusion equations (1998) (55)
- On Euler's equation and `EPDiff' (2012) (54)
- Mathematics in India (2010) (53)
- Bayesian pot-assembly from fragments as problems in perceptual-grouping and geometric-learning (2002) (52)
- Effect of nutritional status on the incidence of infection in childhood cancer. (1993) (51)
- Surface Evolution under Curvature Flows (2002) (48)
- Harmonic, wavelet and p-adic analysis (2007) (47)
- Work related upper limb disorder: the relationship between pain, cumulative load, disability, and psychological factors. (1992) (47)
- Educating Future Scientists (2003) (47)
- Analysis of stability (1965) (45)
- The Canonical Ring of an Algebraic Surface (1962) (44)
- Bi-extensions of formal groups (1968) (43)
- Chordal Completions of Planar Graphs (1994) (41)
- A zoo of diffeomorphism groups on R n (2013) (39)
- Eating Disorders in Different Cultures (1993) (39)
- Bayesian Rationale for the Variational Formulation (1994) (38)
- The Bayesian Rationale for Energy Functionals 1 (1994) (38)
- Somatization: A Transcultural Perspective (1993) (38)
- A deformable model for the recognition of human faces under arbitrary illumination (1995) (36)
- Factors leading to the reporting of 'functional' somatic symptoms by general practice attenders. (1991) (36)
- Teaching pigeons an abstract relational rule: Insideness (1989) (35)
- Pathologies of Modular Algebraic Surfaces (1961) (34)
- Sectional Curvature in Terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks (2010) (33)
- Perception as Bayesian Inference: Pattern theory: A unifying perspective (1996) (33)
- Body dissatisfaction and eating attitudes in slimming and fitness gyms in London and Lahore: a cross‐cultural study (2000) (31)
- Development and validation of a questionnaire for anxiety and depression in Pakistan. (2005) (31)
- Educating future scientists (2001) (31)
- An investigation of 'functional' somatic symptoms among patients attending hospital medical clinics in Pakistan--II. Using somatic symptoms to identify patients with psychiatric disorders. (1991) (30)
- Computational and Clinical Approaches to Pattern Recognition and Concept Formation: Quantitative Analyses of Behavior (1990) (30)
- Culture Shock among Young British Volunteers Working Abroad: Predictors, Risk Factors and Outcome (2000) (30)
- Some footnotes to the work of C (1978) (29)
- Riemannian geometries on the space of plane curves (2003) (28)
- Learning generic prior models for visual computation (1997) (26)
- The self-intersection formula and the ‘formule-clef’ (1975) (25)
- The Complex Statistics of High-Contrast Patches in Natural Images (2001) (25)
- Deformations and liftings of finite, commutative group schemes (1968) (23)
- Algebraic Geometry II (2015) (23)
- A zoo of diffeomorphism groups on $$\mathbb{R }^{n}$$Rn (2012) (22)
- Bulimia nervosa among Asian schoolgirls. (1988) (22)
- What is Pattern Theory (2010) (20)
- Discriminating figure from ground: the role of edge detection and region growing. (1987) (20)
- A switching Kalman filter model for the motor cortical coding of hand motion (2003) (20)
- An investigation of 'functional' somatic symptoms among patients attending hospital medical clinics in Pakistan--I. Characteristics of 'non-organic' patients. (1991) (20)
- Advances in deterministic and stochastic analysis (2007) (19)
- Empirical Statistics and Stochastic Models for Visual Signals (2006) (19)
- Why I am a Platonist (2009) (19)
- The Statistical Description of Visual Signals (1996) (18)
- Calculus Reform for the Millions (1997) (18)
- A Remark on the Paper of M. Schlessinger (1973) (18)
- Intuition and rigor and Enriques's quest (2011) (18)
- The structure of the moduli spaces of curves and abelian varieties (1970) (17)
- Varieties are preschemes (1988) (17)
- Validation of a self administered version of the cultural distance questionnaire among young british volunteers working overseas (1998) (17)
- Somatic sensations and psychological distress among students in Britain and Pakistan (1989) (17)
- Hamiltonian Approach to Shape Spaces in a Diffeomorphic Framework : from the Discontinuous Image Matching Problem to a Stochastic Growth Model (2009) (15)
- Global Analysis (2003) (15)
- Emotional Distress in the Hebrew Bible (1992) (12)
- Shape representation via conformal mapping (2007) (12)
- On algebraic geometry, including correspondence with Grothendieck (2010) (12)
- Matsusaka''s big theorem (1974) (12)
- Curvature motions, medial axes and distance transforms (1998) (12)
- Introduction and motivation : theta functions in one variable ; Basic results on theta functions in several variables (1983) (12)
- Somatic symptoms and psychological distress in the Iliad of Homer. (1996) (12)
- Guest Editorial: Statistical and Computational Theories of Vision: Modeling, Learning, Sampling and Computing, Part I (2000) (11)
- Detection of psychiatric disorders among Asian patients presenting with somatic symptoms. (1992) (10)
- A New Approach to Compactifying Locally Symmetric Varieties (2004) (10)
- Clinical academies: innovative school-health services partnerships to deliver clinical education. (2007) (10)
- Smooth Compactifications of Locally Symmetric Varieties: Frontmatter (2010) (9)
- Supervised discharge order: the first year in the South and West Region (1998) (9)
- The Influence of Benoît B. Mandelbrot on mathematics (2012) (9)
- Equivariant embeddings of Tori (1973) (9)
- Continuous Non-linear Systems (1995) (9)
- Development and evaluation of an inner city mental health team (1998) (8)
- Cultural issues in assessment and treatment (1995) (8)
- Smooth Compactifications of Locally Symmetric Varieties: Compactifications of locally symmetric varieties (2010) (8)
- The role of V1 in shape representation (1997) (8)
- Fields Medals (IV): An Instinct for the Key Idea. (1978) (8)
- What’s so Baffling About Negative Numbers? — a Cross-Cultural Comparison (2010) (7)
- Statistical and computational theories for image segmentation, texture modeling and object recognition (1996) (7)
- Trends in the Profession of Mathematics (1998) (7)
- Psychiatry in the new undergraduate curriculum (1999) (7)
- “Yu laid out the lands:” georeferencing the Chinese Yujitu [Map of the Tracks of Yu] of 1136 (2012) (6)
- Foundations of algebraic geometry and resolution of singularities (1972) (6)
- Failure in community care. Supervision register needs rethinking. (1994) (6)
- Appendix: Curves and Their Jacobians (1999) (5)
- Semi-stable reduction (1973) (5)
- My Introduction to Schemes and Functors (2014) (5)
- A FOREWORD FOR NON-MATHEMATICIANS (1991) (4)
- References: The Red Book of Varieties and Schemes (1999) (4)
- The geometry and curvature of shape spaces (2012) (4)
- Mathematics Belongs in a Liberal Education (2006) (4)
- Conformal shape representation (2008) (4)
- Smooth Compactifications of Locally Symmetric Varieties: Preface to the second edition (2010) (4)
- Hospital Anxiety and Depression Scale (1991) (4)
- An Elementary Theorem in Geometric Invariant Theory (1961) (3)
- Parameterizing Exemplars of Categories (1991) (3)
- The Convergence of AI code and Cortical Functioning - a Commentary (2020) (2)
- Two tests for the value unit model: Multicell recordings and pointers (1986) (2)
- Theta functions with quadratic forms (1991) (2)
- Algebraic theta functions (1991) (2)
- Bottom Line on Mathematics Education (2012) (2)
- The homogeneous coordinate ring of an abelian variety (1991) (2)
- Resident classification in an extended-care setting. (1981) (2)
- Minds must unite (2005) (2)
- Eating disorders among Asian girls in Britain (1992) (2)
- Review of background in algebraic geometry (2007) (2)
- Polyhedral reduction theory in self-adjoint cones (2010) (1)
- Basic results on theta functions in several variables (1983) (1)
- Algebraic construction of the Jacobian of a hyperelliptic curve (2007) (1)
- On the classification of varieties and moduli spaces (2004) (1)
- Assessing the accuracy of ancient eclipse predictions (2018) (1)
- From fasting saints to anorexic girls. Walter Vandereycken, Ron van Deth. The Athlone Press: London. (1994) pp. 296, £18.95 (1995) (1)
- Oscar Zariski and his work (1988) (1)
- Modeling images and textures by minimax entropy (1997) (1)
- Home Care for the Aged (1975) (1)
- Definition of a morphism: I (1988) (1)
- ON EULER ’ S EQUATION AND ‘ (2013) (1)
- Zariski’s Main Theorem (1988) (1)
- Frobenius’ theta formula (2007) (1)
- On the nonlinear statistics of range image patches (2009) (1)
- Developments in Algebraic Geometry In directions initiated (2007) (1)
- Some aspects of health visiting. (1968) (0)
- M. Shepherd Æ D. Gunnell Æ B. Maxwell Æ D. Mumford Development and evaluation of an inner city mental health team (1998) (0)
- The inappropriate question syndrome (1990) (0)
- The intellectual consequences of the RAE: the case of medicine (1999) (0)
- [No Title] (1990) (0)
- Promoting Mental Health Internationally (2002) (0)
- Competence and deliberate self-harm: a little legal knowledge can be dangerous (2017) (0)
- Author's Reply (1991) (0)
- ROC analysis (1990) (0)
- Stewards of the Nation's Health (1991) (0)
- Book reviews : Chakraborty, Ajita (1990) Social Stress and Mental Health: A Social-Psychiatric Field Study of Calcutta. New Delhi: Sage. 200pp (1992) (0)
- Book reviews : Verma, Ratna (1991) Psychiatric Social Work in India. New Delhi: Sage (1993) (0)
- Culture and Conversion: Journeying to a New Land (1989) (0)
- Culture and Psychopathology–A Guide to Clinical Assessment Edited by Wen-Shing Tseng and Jon Streitzer, New York: Brunner/Mazel. 1997. 270 pp. US$34.95(hb). ISBN 0-87630-839-6 (1997) (0)
- Author's reply (2001) (0)
- Somatic presentation of psychiatric disturbance. (1991) (0)
- Biographical Memoirs: George Mackey (2008) (0)
- A mental health court hearing in Czechoslovakia (1990) (0)
- Changing role of the health visitor. (1966) (0)
- Pakistan Anxiety and Depression Questionnaire (2012) (0)
- In Memoriam: George R. Kempf 1944-2002 (2002) (0)
- Book Review: Culture and Weight Consciousness. Mervat Nasser. Routledge: London and New York (1997) pp. 160, £12.99 (paperback), £35 (hardback) (1998) (0)
- Multidisciplinary care. Bringing social work into the hospital. (1986) (0)
- Best evidence for fitness to practise (2017) (0)
- Letter: Home care for the aged. (1975) (0)
- Timothy Hugh Moss (2017) (0)
- May I See aChristianPsychiatrist (1987) (0)
- Biographical Memoirs: Andrew Gleason (2010) (0)
- The Arithmetic Genus and the Generalized Theorem of Riemann-Roch (1995) (0)
- LECTURE 24. THE STRUCTURE OF Φ (1966) (0)
- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES (1966) (0)
- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE (1966) (0)
- Smooth Compactifications of Locally Symmetric Varieties: Further developments (2010) (0)
- LECTURE 14. SOME VANISHING THEOREMS (1966) (0)
- LECTURE 16. THE METHOD OF CHOW SCHEMES (1966) (0)
- Non-singularity and the UFD property (1988) (0)
- Quasi-coherent modules (1988) (0)
- Branch Curves of Multiple Planes and Continuous Systems of Plane Algebraic Curves (1995) (0)
- Characterization of hyperelliptic period matrices (2007) (0)
- Stability of projective varieties : lectures ... (1977) (0)
- The Prime Form E(x,y). (2007) (0)
- THE WORK OF C. P. RAMANUJAM IN ALGEBRAIC GEOMETRY (2013) (0)
- Tying together the analytic Jacobian and algebraic Jacobian (2007) (0)
- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES (1966) (0)
- Heisenberg groups in general (1991) (0)
- A tribute to Ulf Grenander (2018) (0)
- Non-singularity and differentials (1988) (0)
- The Birational Geometry of Surfaces (1981) (0)
- Fundamental theorems for the actions of reductive groups (1965) (0)
- L'enseignement Mathématique Stability of Projective Varieties Stability of Projective Varieties 1) (2009) (0)
- PROOF COPY (A-8700) 005307JOA Hierarchical Bayesian inference in the visual cortex (2003) (0)
- PROOF COPY (A-8700) 005307JOA Hierarchical Bayesian inference in the visual cortex (2003) (0)
- The hyperelliptic p-function (2007) (0)
- Irreducible algebraic sets (1988) (0)
- An elementary example (1965) (0)
- LECTURE 18. THE INDEX THEOREM (1966) (0)
- Mixed markov fields (2000) (0)
- Figure 9 Experimental Results on Real Images 3.3 Region Inference 4 Experimental Results Figure 8 Experimental Results on Synthetic Data 5 3.2 Tensor Voting 3.1 Saliency Tensor (1998) (0)
- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p (1966) (0)
- Zariski's Papers on the Foundations of Algebraic Geometry and on Linear Systems (1991) (0)
- The category of preschemes (1988) (0)
- The fibres of a morphism (1988) (0)
- APPENDIX TO LECTURE 5 (1966) (0)
- THE ROLE OF VI IN SHAPE REPRESENTATION (2013) (0)
- Applications to solutions of differential equations (2007) (0)
- Is there a general structure for grammars? (2009) (0)
- Sheaves and affine varieties (1988) (0)
- Theta Functions in Spherical Harmonics (1991) (0)
- Riemann’s theta relation (1991) (0)
- Linearly reductive groups, actions, affine quotients, linear actions, stable and semistable points, good quotients, the Hilbert-Mumford numerical criterion, examples. Reference: (1982) (0)
- Henri ’ s Crystal Ball (2008) (0)
- Introduction by Guest Editors (2004) (0)
- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES (1966) (0)
- Proper morphisms and finite morphisms (1988) (0)
- The metaplectic group and the full functional equation of ϑ (1991) (0)
- The method of covariants — 2nd construction (1965) (0)
- LECTURE 21. THE PICARD SCHEME: CONCLUSION (1966) (0)
- Thomae’s formula and moduli of hyperelliptic curves (2007) (0)
- LECTURE 4. USES OF THE FUNCTOR OF POINTS (1966) (0)
- COMMENTARY ON GRENANDER & MILLER : Representations of Knowledge in Complex Systems (0)
- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED (1966) (0)
- Adelic Heisenberg groups and towers of abelian varieties (1991) (0)
- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS (1966) (0)
- The problem of moduli — 1st construction (1965) (0)
- The Korteweg-deVries dynamical system (2007) (0)
- 1 Thoughts on Consciousness (2019) (0)
- Definition of prevarieties and morphism (1988) (0)
- SINGULAR COBORDISM CATEGORIES (2008) (0)
- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED “FUNCTOR OF POINTS” (1966) (0)
- Differential Geometry. — a Metric on Shape Space with Explicit Geodesics, By (2008) (0)
- LECTURE 8. FLATTENING STRATIFICATIONS (1966) (0)
- Holomorphic functions and linear systems (1973) (0)
- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 (1966) (0)
- Corollaries of the identity (2007) (0)
- The real Heisenberg groups (1991) (0)
- The red book of varieties and schemes : with an appendix on "curves and their Jacobians" (1997) (0)
- Simple and Double Integrals on an Algebraic Surface (1995) (0)
- The functor of points of a prescheme (1988) (0)
- Adjoint Systems and the Theory of Invariants (1995) (0)
- Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete (2012) (0)
- LECTURE 26. RING SCHEMES; THE WITT SCHEME (1966) (0)
- Flat and smooth morphisms (1988) (0)
- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn (1966) (0)
- Figure 9 Experimental Results on Real Images 3.3 Region Inference 4 Experimental Results 3.1 Saliency Tensor (1998) (0)
- Products and the Hausdorff Axiom (1988) (0)
- Normal varieties and normalization (1988) (0)
- LECTURE 19. THE PICARD SCHEME : OUTLINE (1966) (0)
- Curves and Their Genus (1981) (0)
- Theta characteristics and the fundamental Vanishing Property (2007) (0)
- LECTURE 11. BACK TO THE CLASSICAL CASE (1966) (0)
- Finite Heisenberg groups and sections of line bundles on abelian varieties (1991) (0)
- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES (1966) (0)
- LECTURE 15. UNIVERSAL FAMILIES OF CURVES (1966) (0)
- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER (1966) (0)
- Degree of a Projective Variety (1981) (0)
- LECTURE 5. Pro j AND INVERTIBLE SHEAVES (1966) (0)
- LECTURE 17. GOOD CURVES (1966) (0)
- Fields of definition (1988) (0)
- Neumann’s dynamical system (2007) (0)
- THE MODULI SPACES OF CURVES AND ABELIAN VARIETIES 459 Over the complex ground field (2010) (0)
- The moment map (1994) (0)
- Smooth Compactifications of Locally Symmetric Varieties: Basics on torus embeddings; examples (2010) (0)
- Smooth Compactifications of Locally Symmetric Varieties: Supplementary Bibliography (2010) (0)
- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER (1966) (0)
- III. Local Properties of Schemes (1999) (0)
- Chordal Completions of Grids and Planar Graphs (1991) (0)
- Guide to the Literature and References: Curves and Their Jacobians (1999) (0)
- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS (1966) (0)
- Contributions to Algebraic Geometry in Honor of Oscar Zariski (1979) (0)
- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES (1966) (0)
- The Generalized Jacobian of a Singular Curve and its Theta Function (2007) (0)
- The translation-invariant vector fields (2007) (0)
- CONSTRUCTION ANALYTIQUE DE COURBES EN GEOMETRIE NON ARCHIM~DIENNE (1973) (0)
- Chow’s Theorem (1981) (0)
- Divisors on hyperelliptic curves (2007) (0)
- Topological Properties of Algebaraic Surfaces (1995) (0)
- Prior Learning and Gibbs Reaction-Diffusion share how this access benefits you. Your story matters (1997) (0)
- Statistics of Range Images The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2000) (0)

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## What Are David Mumford's Academic Contributions?

David Mumford is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of

David Mumford has made the following academic contributions: