Mark Lee Green | Academic Influence

Mark Lee Green's AcademicInfluence.com Rankings

Mark Lee Green

Mathematics

#1410

World Rank

#2326

Historical Rank

#585

USA Rank

Group Theory

#153

World Rank

#183

Historical Rank

#33

USA Rank

Algebra

#208

World Rank

#309

Historical Rank

#47

USA Rank

Measure Theory

#2551

World Rank

#3059

Historical Rank

#725

USA Rank

mathematics Degrees

Download Badge

Mathematics

Mark Lee Green's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Mark Lee Green Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Mark Lee Green is an American mathematician, who does research in commutative algebra, algebraic geometry, Hodge theory, differential geometry, and the theory of several complex variables. He is known for Green's Conjecture on syzygies of canonical curves. Green received in 1968 his bachelor's degree from MIT and in 1972 his PhD from Princeton University under Phillip Griffiths with thesis Some Picard Theorems for Holomorphic Maps to Algebraic Varieties. In 1970/71 Green was a Procter Fellow in Princeton. He was an instructor from 1972 to 1974 at the University of California, Berkeley and for the academic year 1974/75 at MIT. He became in 1975 an assistant professor and in 1982 a full professor at UCLA. He was a co-founder and the director of the Institute for Pure and Applied Mathematics for 7 years, starting in 2001.

(See a Problem?)

Mark Lee Green's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Koszul cohomology and the geometry of projective varieties (1984) (607)
On the projective normality of complete linear series on an algebraic curve (1986) (299)
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville (1987) (256)
Cayley-Bacharach theorems and conjectures (1996) (253)
Generic Initial Ideals (1998) (249)
Two Applications of Algebraic Geometry to Entire Holomorphic Mappings (1980) (242)
Higher obstructions to deforming cohomology groups of line bundles (1991) (226)
Some results on the syzygies of finite sets and algebraic curves (1988) (177)
Infinitesimal variations of hodge structure (I) (1983) (177)
Some Picard Theorems for Holomorphic Maps to Algebraic Varieties (1975) (163)
Restricting linear syzygies: algebra and geometry (2004) (152)
Special divisors on curves on aK3 surface (1987) (145)
Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann (1989) (129)
Holomorphic maps into complex projective space omitting hyperplanes (1972) (96)
The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces (1978) (95)
Infinitesimal Methods in Hodge Theory (1994) (82)
Griffiths' infinitesimal invariant and the Abel-Jacobi map (1989) (81)
A new proof of the explicit Noether-Lefschetz theorem (1988) (70)
Quadrics of rank four in the ideal of a canonical curve (1984) (68)
The period map for hypersurface sections of high degree of an arbitrary variety (1985) (66)
The hyperbolicity of the complement of 2+1 hyperplanes in general position in _{} and related results (1977) (65)
Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves (1999) (62)
Algebraic cycles and Hodge theory (1994) (53)
Components of maximal dimension in the Noether-Lefschetz locus (1989) (50)
Néron models and limits of Abel–Jacobi mappings (2010) (49)
Small schemes and varieties of minimal degree (2004) (41)
Holomorphic Maps to Complex Tori (1978) (41)
KOSZUL COHOMOLOGY AND THE GEOMETRY OF PROJECΠVE VARIETIES. II (2008) (38)
On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (2005) (37)
NÉRON MODELS AND BOUNDARY COMPONENTS FOR DEGENERATIONS OF HODGE STRUCTURE OF MIRROR QUINTIC TYPE (2008) (33)
The canonical ring of a variety of general type (1982) (32)
A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces (1984) (27)
Algebraic Cycles and Motives: Algebraic Cycles and Singularities of Normal Functions (2007) (25)
The Eisenbud-Koh-Stillman conjecture on linear syzygies (1996) (23)
Hodge Theory, Complex Geometry, and Representation Theory (2013) (22)
The LLV decomposition of hyper-Kaehler cohomology (2019) (20)
Extremal degenerations of polarized Hodge structures (2014) (19)
Some Enumerative Global Properties of Variations of Hodge Structures (2009) (19)
The equations defining Chow varieties (1986) (18)
Some examples and counter-examples in value distribution theory for several variables (1975) (16)
Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety (1996) (14)
Completion of Period Mappings and Ampleness of the Hodge bundle (2017) (13)
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results ? (2009) (13)
Positivity of vector bundles and Hodge theory (2018) (13)
Gröbner Bases and Applications: A Tutorial on Generic Initial Ideals (1998) (12)
The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior) (2021) (12)
On the analytic solution of the equation of fifth degree (1978) (12)
On the functional equation ²=^{2₁}+^{2₂}+^{2₃} and a new Picard theorem (1974) (9)
Higher Abel-Jacobi maps. (1998) (9)
ABEL'S DIFFERENTIAL EQUATIONS (2002) (9)
The information encoded in initial ideals (2000) (8)
A Picard theorem for holomorphic curves in the plane (1976) (8)
Period Mappings and Ampleness of the Hodge line bundle (2017) (8)
A DEFORMATION THEORY FOR COHOMOLOGY OF ANALYTIC VECTOR BUNDLES ON KÄHLER MANIFOLDS, WITH APPLICATIONS (1987) (6)
On the Functional Equation $f^2 = e^{2\phi_1} + e^{2\phi_2} + e^{2\phi_3} and a New Picard Theorem (1974) (6)
Metric rigidity of holomorphic maps to Kähler manifolds (1978) (5)
Deformation Theory and Limiting Mixed Hodge Structures (2014) (5)
IDEALS OF MINORS IN FREE RESOLUTIONS (1994) (5)
$f$-Racks, $f$-Quandles, their Extensions and Cohomology (2016) (5)
Ternary and n-ary f-distributive structures (2017) (4)
Secant functions, the Reiss relation and its converse (1983) (4)
Polynomial structures and generic Torelli for projective hypersurfaces (1990) (4)
On the syntax and semantics of impersonal sentences in Russian : a study of the sentence type "vetrom uneslo lodku" (1980) (4)
4 Algebraic Cycles and Singularities of Normal Functions (2006) (3)
Algebraic cycles and Hodge theory : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993 (1994) (3)
The global asymptotic structure of period mappings (2020) (2)
Completions of period mappings: progress report (2021) (2)
Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles (2014) (2)
Shafarevich mappings and period mappings (2022) (2)
Trends in Commutative Algebra (2011) (1)
Book Review: Commutative algebra with a view toward algebraic geometry (1996) (1)
HOLOMORPHIC MAPS INTO COMPLEX PROJECTIVE SPACE (2010) (1)
Chapter Two. The Classical Case When n = 1 (2005) (0)
Chapter Nine. Applications and Examples (2005) (0)
The classical theory: Part II (2013) (0)
Geometry of flag domains: Part II (2013) (0)
On the functional equation $f\sp{2}=e\sp{2\phi\sb{1}}+e\sp{2\phi\sb{2}}+e\sp{2\phi\sb{3}}\ $ and a new Picard theorem (1974) (0)
Chapter Four. Absolute Differentials (I) (2005) (0)
Chapter V. Hodge Structures With Complex Multiplication (2012) (0)
Chapter I. Mumford-Tate Groups (2012) (0)
Contents, Vol. 62, 1994 (1994) (0)
Miscellaneous topics and some questions (2013) (0)
Brody's Method in Value Distribution Theory (Geometric Theory of Several Complex Variables) (1978) (0)
Differential of a period mapping at a singularity (2022) (0)
Chapter II. Period Domains and Mumford-Tate Domains (2012) (0)
Chapter Six. Absolute Differentials (II) (2005) (0)
Algebraic Geometry 2000, Azumino – Program and Acknowledgement (2002) (0)
Global properties of period mappings on the boundary (2020) (0)
Comparisons between the Hodge-theoretic and algebro-geometric approaches to limiting mixed Hodge structures (2019) (0)
Penrose transforms in the two main examples (2013) (0)
Chapter III. The Mumford-Tate Group of a Variation of Hodge Structure (2012) (0)
Chapter VI. Arithmetic Aspects of Mumford-Tate Domains (2012) (0)
Chapter VII. Classification of Mumford-Tate Subdomains (2012) (0)
Chapter Seven. The Ext-definition of TZ2(X) for X an Algebraic Surface (2005) (0)
Discrete series and -cohomology (2013) (0)
Moduli and Hodge Theory (2018) (0)
Chapter Ten. Speculations and Questions (2005) (0)
Chapter IV. Hodge Representations and Hodge Domains (2012) (0)
Chapter Eight. Tangents to Related Spaces (2005) (0)
New Geometric Invariants Arising from Hodge Theory (2018) (0)
Chapter VIII. Arithmetic of Period Maps of Geometric Origin (2012) (0)
Completions of period mappings (2020) (0)
Reviews (2002) (0)
Polarized Hodge structures and Mumford-Tate groups and domains (2013) (0)
Chapter Five Geometric Description of T̳Zn(X) (2005) (0)
Chapter Three. Differential Geometry of Symmetric Products (2005) (0)
On a Type of Plane Rational Quartic Curve (0)
Nonlinear Approximation Small Schemes and Varieties of Minimal Degree (2006) (0)
Review: Serge Lang, Introduction to complex hyperbolic spaces (1988) (0)
Natural line bundles on completions of period mappings (2021) (0)
Trends in Commutative Algebra: Preface (2004) (0)

This paper list is powered by the following services:

Other Resources About Mark Lee Green

en.wikipedia.org

What Schools Are Affiliated With Mark Lee Green?

Mark Lee Green is affiliated with the following schools:

Image Attributions

Image Source for Mark Lee Green