Miles Reid
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Mathematician researching Algebraic Geometry
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Miles Reidmathematics Degrees
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Algebraic Geometry
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Mathematics
Why Is Miles Reid Influential?
(Suggest an Edit or Addition)According to Wikipedia, Miles Anthony Reid FRS is a mathematician who works in algebraic geometry. Education Reid studied the Cambridge Mathematical Tripos at Trinity College, Cambridge and obtained his Ph.D. in 1973 under the supervision of Peter Swinnerton-Dyer and Pierre Deligne.
Miles Reid'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
- Commutative Ring Theory (1989) (3409)
- Young person''s guide to canonical singularities (1985) (706)
- Mukai implies McKay: the McKay correspondence as an equivalence of derived categories (1999) (625)
- Commutative ring theory: Frontmatter (1987) (494)
- Commutative ring theory: Regular rings (1987) (391)
- Minimal Models of Canonical 3-Folds (1983) (371)
- Explicit birational geometry of 3-folds (2000) (364)
- Chapters on algebraic surfaces (1996) (267)
- Solitons : differential equations, symmetries and infinite dimensional algebras (2000) (252)
- Undergraduate Algebraic Geometry (1989) (237)
- The moduli space of 3-folds withK=0 may nevertheless be irreducible (1987) (224)
- Decomposition of Toric Morphisms (1983) (216)
- The complete intersection of two of more quadrics (1972) (199)
- The McKay correspondence for finite subgroups of SL(3,\C) (1994) (173)
- Hilbert schemes of abelian group orbits. (1999) (157)
- McKay correspondence (1997) (122)
- Graded rings and birational geometry (2000) (103)
- Embeddings of curves and surfaces (1996) (101)
- Kustin–Miller unprojection without complexes (2000) (92)
- Explicit Birational Geometry of 3-Folds: Fano 3-fold hypersurfaces (2000) (91)
- Varieties in projective space (2013) (85)
- Undergraduate Commutative Algebra (1995) (81)
- Fano 3-folds, K3 surfaces and graded rings (2002) (76)
- Basic algebraic geometry 1 (2nd, revised and expanded ed.) (1994) (63)
- Fano 3-folds in codimension 4, Tom and Jerry. Part I (2010) (57)
- How to calculate A-Hilb(C^3) (1999) (56)
- Projective morphisms according to Kawamata (2006) (55)
- Weighted Grassmannians (2002) (50)
- Geometries and Groups (1989) (45)
- Nonnormal del Pezzo Surfaces (1994) (44)
- Special Linear Systems on Curves Lying on a K 3 Surface (1976) (43)
- Geometry and Topology: List of figures (2005) (43)
- Problems on pencils of small genus (2003) (41)
- Surface cyclic quotient singularities and Hirzebruch–Jung resolutions (2003) (38)
- Geometry and Topology (2005) (37)
- Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra (1990) (37)
- Hyperelliptic linear systems on a K3 surface (1976) (34)
- Surfaces of small degree (1986) (30)
- Gorenstein in codimension 4 - the general structure theory (2013) (30)
- Cascades of projections from log del Pezzo surfaces (2004) (22)
- Ice cream and orbifold Riemann–Roch (2012) (22)
- Book Review: Convex bodies and algebraic geometry: An introduction to toric varieties (1989) (21)
- Mukai implies McKay (1999) (21)
- Quadrics through a canonical surface (1990) (19)
- π1for surfaces with small k2 (1979) (19)
- On Q-Fano 3-folds of Fano index 2 (2016) (18)
- Campedelli surfaces with fundamental group of order 8 (2008) (16)
- Commutative ring theory: Commutative rings and modules (1987) (15)
- On Q-Fano threefolds of Fano index 2 (2012) (15)
- Algebraic Gromov–Witten invariants (1999) (12)
- Update on 3-folds (2002) (11)
- Examples of Type IV unprojection (2001) (10)
- On the Hasse principle for bielliptic surfaces (2004) (10)
- Geometry and Topology: Topology (2005) (10)
- SEMINAIRE SUR LES SINGULARITES DES SURFACES (Palaiseau, France, 1976–1977) (Lecture Notes in Mathematics, 777) (1981) (7)
- Explicit Birational Geometry of 3-Folds: Twenty five years of 3-folds – an old person's view (2000) (7)
- Ice cream and orbifold Riemann - Roch@@@Ice cream and orbifold Riemann - Roch (2013) (7)
- Lines on Fano 3-folds according to Shokurov (2007) (7)
- On $\mathbb{Q}$-Fano 3-folds of Fano index 2 (2016) (6)
- Geometry and Topology: Geometry and group theory (2005) (6)
- Diptych varieties, I (2012) (6)
- Review: Tadao Oda, Convex bodies and algebraic geometry: An introduction to toric varieties (1989) (5)
- Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over PP(1,2,3) (2018) (5)
- Undergraduate Algebraic Geometry: Preface (1988) (5)
- Constructing Algebraic Varieties via Commutative Algebra (2005) (4)
- Undergraduate Algebraic Geometry: Index (1988) (4)
- Last on the List (1974) (3)
- Akizuki's counterexample (1995) (3)
- The Tate Oort Group Scheme TO p (2019) (3)
- Number theory and algebraic geometry : to Peter Swinnerton-Dyer on his 75th birthday (2003) (2)
- A SCRAPBOOK OF COMPLEX CURVE THEORY (1982) (1)
- Diptych varieties. II, Apolar varieties (2012) (1)
- Undergraduate Commutative Algebra: The Nullstellensatz and Spec A (1995) (1)
- In lieu of birthday greetings (2003) (1)
- Explicit Birational Geometry of 3-Folds: Foreword (2000) (1)
- Vyacheslav Vladimirovich Shokurov (on his 60th birthday) (2010) (1)
- DVRs and normal integral domains (1995) (0)
- Undergraduate Algebraic Geometry: The 27 lines on a cubic surface (1988) (0)
- Commutative ring theory: The exterior algebra (1987) (0)
- III · 1 – 3 Update on 3-folds (2003) (0)
- Geometry and Topology: References (2005) (0)
- Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3) (2021) (0)
- Vasilii Alekseevich Iskovskikh (obituary) (2009) (0)
- Number Theory and Algebraic Geometry: Frontmatter (2004) (0)
- New Trends in Algebraic Geometry: Foreword (1999) (0)
- Modular Invariants, Operator Algebra and Quotient Singularities (1999) (0)
- Relative fractional canonical algebras and thegeneral Godeaux surface (2013) (0)
- The Tate-Oort Group Scheme $$\mathbb{TO}_p$$ (2019) (0)
- Geometry and Topology: Linear algebra (2005) (0)
- Book Review: Rational curves on algebraic varieties (2000) (0)
- Commutative ring theory: Conventions and terminology (1987) (0)
- Surfaces and Higher Dimensional Varieties (2017) (0)
- Commutative ring theory: Valuation rings (1987) (0)
- Commutative ring theory: Dimension theory (1987) (0)
- Commutative ring theory: Some homological algebra (1987) (0)
- A G ] 6 A ug 2 00 1 Examples of Type IV unprojection (2001) (0)
- Commutative ring theory: References (1987) (0)
- MA3D5 Galois theory (2004) (0)
- Undergraduate Algebraic Geometry: Affine varieties and the Nullstellensatz (1988) (0)
- M ay 2 00 2 Kustin – Miller unprojection without complexes (2008) (0)
- A G ] 1 5 N ov 2 00 0 Kustin – Miller unprojection without complexes (2008) (0)
- Commutative ring theory: Properties of extension rings (1987) (0)
- New trends in algebraic geometry : EuroConference on Algebraic Geometry Warwick, July 1996 (1999) (0)
- Undergraduate Algebraic Geometry: Woffle (1988) (0)
- Undergraduate Commutative Algebra: Finite extensions and Noether normalisation (1995) (0)
- Commutative ring theory: Regular sequences (1987) (0)
- 60 70 21 v 1 2 2 Ju l 1 99 6 Embeddings of curves and surfaces ∗ (1999) (0)
- Keeping in touch with Soviet colleagues (1977) (0)
- A G ] 2 4 Ju n 20 02 Update on 3-folds (2002) (0)
- Undergraduate Algebraic Geometry: Appendix to Chapter I. Curves and their genus (1988) (0)
- Eulogy for Andrew Wiles (1998) (0)
- Geometry and Topology: Spherical and hyperbolic non-Euclidean geometry (2005) (0)
- Commutative ring theory: Derivations (1987) (0)
- Rings of fractions S-1A and localisation (1995) (0)
- Commutative ring theory: I-smoothness (1987) (0)
- Number Theory and Algebraic Geometry: Peter Swinnerton-Dyer's mathematical papers to date (2004) (0)
- Cubics and the group law (1988) (0)
- Undergraduate Algebraic Geometry: Tangent space and nonsingularity, dimension (1988) (0)
- Commutative ring theory: Solutions and hints for exercises (1987) (0)
- Surveys in Modern Mathematics: Rings and algebraic varieties (2005) (0)
- Viktor Stepanovich Kulikov (on his seventieth birthday) (2022) (0)
- Quaternions, rotations and the geometry of transformation groups (2005) (0)
- Commutative ring theory: Tensor products, direct and inverse limits (1987) (0)
- Protective varieties and birational equivalence (1988) (0)
- Geometry and Topology: Preface (2005) (0)
- Commutative ring theory: Prime ideals (1987) (0)
- Orbifold Riemann–Roch and plurigenera (2006) (0)
- Geometry and Topology: Affine geometry (2005) (0)
- Geometry and Topology: Composing maps (2005) (0)
- Functions on varieties (1988) (0)
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