Phillip Griffith | Academic Influence

Phillip Griffith's AcademicInfluence.com Rankings

Phillip Griffith

Mathematics

#1927

World Rank

#3054

Historical Rank

#776

USA Rank

Group Theory

#37

World Rank

#48

Historical Rank

#10

USA Rank

Algebra

#114

World Rank

#186

Historical Rank

#32

USA Rank

Number Theory

#357

World Rank

#445

Historical Rank

#58

USA Rank

mathematics Degrees

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Mathematics

Phillip Griffith's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Phillip Griffith Influential?

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According to Wikipedia, Phillip Alan Griffith is a mathematician and professor emeritus at University of Illinois at Urbana-Champaign who works on commutative algebra and ring theory. He received his PhD from the University of Houston in 1968. Griffith is the editor-in-chief of the Illinois Journal of Mathematics In 1971, Griffith received a Sloan Fellowship.

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Phillip Griffith'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

Trivial Extensions of Abelian Categories (1975) (286)
A note on a theorem of Hill. (1969) (169)
The syzygy problem (1981) (157)
Infinite abelian group theory (1970) (103)
Trivial extensions of Abelian categories : homological algebra of trivial extensions of Abelian categories with applications to ring theory (1975) (88)
Minimal injective resolutions with applications to dualizing modules and gorenstein modules (1975) (82)
Serial Rings (1971) (81)
The structure of serial rings. (1971) (64)
A solution to the splitting mixed group problem of Baer (1969) (60)
On the decomposition of modules and generalized left uniserial rings (1970) (55)
Local Cohomology Modules for Normal Domains (1979) (36)
A representation theorem for complete local rings (1976) (35)
[χ]n-free abelian groups (1972) (32)
Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$ (1975) (27)
Extensions of locally compact abelian groups. I (1971) (25)
Separability of torsion free groups and a problem of J. H. C. Whitehead (1968) (23)
Transitive and fully transitive primary abelian groups. (1968) (23)
Extensions of locally compact abelian groups. II (1971) (22)
BINOMIAL BEHAVIOR OF BETTI NUMBERS FOR MODULES OF FINITE LENGTH (1988) (19)
Maximal Cohen-Macaulay modules and representation theory☆ (1978) (18)
Syzygies, Ideals of Height Two, and Vector Bundles (1980) (17)
Some results in local rings on ramification in low codimension (1991) (17)
On a subfunctor of ext (1970) (14)
Restrictions of Torsion Divisor Classes to Hypersurfaces (1994) (11)
A Graded Syzygy Theorem in Mixed Characteristic (2001) (11)
Purely indecomposable torsion-free groups (1967) (9)
TRIVIAL EXTENSIONS OF ABELIAN CATEGORIES AND APPLICATIONS TO RINGS: AN EXPOSITORY ACCOUNT (1972) (9)
Extensions of free groups by torsion groups (1970) (9)
Intersection multiplicity, canonical element conjecture and the syzygy problem (2008) (9)
Normal extensions of regular local rings (1987) (9)
Normal extensions of regular local rings (1987) (9)
On the splitting of big Cohen-Macaulay modules (1998) (6)
Induced formal deformations and the Cohen-Macaulay property (2000) (6)
Pathology in divisor class groups of hypersurfaces (1986) (6)
A complete local factorial ring of dimension 4 which is not Cohen-Macaulay (1975) (5)
The Brauer group ofA [T] (1976) (5)
FILTERING COHOMOLOGY AND LIFTING VECTOR BUNDLES (1985) (5)
Order ideals of minimal generators (1982) (4)
The syzygy problem: a new proof and historical perspective (1983) (4)
Syzygy Theorems via comparison of order ideals on a hypersurface (2011) (4)
A theorem of Asano and Michler (1970) (4)
Approximate liftings in local algebra and a theorem of Grothendieck (2005) (3)
Restriction of divisor classes to hypersurfaces in characteristic p (2004) (3)
Syzygies: VECTOR BUNDLES ON THE PUNCTURED SPECTRUM OF A REGULAR LOCAL RING (1985) (3)
Completions of rings of invariants and their divisor class groups (1978) (3)
The Baer splitting problem in the twentyfirst century (2003) (3)
On direct sums ofp-mixed groups (1968) (2)
Lifting Syzygies and Extending Algebraic Vector Bundles (1985) (2)
A Relative Filtration Index and Fibers of Normal Primes in Extensions of Finite Type (1998) (1)
FREENESS OF THE SYMBOLIC CONORMAL MODULE AND MAPS OF DIVISOR CLASSES (2001) (1)
Simple Bundles of Rank Three (1982) (1)
Decomposition of pure subgroups of torsion free groups (1968) (1)
Homological dimensions in A ⋉ F (1975) (1)
A counterexample to a theorem of Chase (1968) (1)
Shorter Notes: A Theorem of Asano and Michler (1970) (1)
The new intersection theorem and descent of flatness for integral extensions (2009) (0)
FUNDAMENTAL THEOREMS ON SYZYGIES (1985) (0)
Representation dimension of finite algebras (1975) (0)
Duality and the Gorenstein property (1975) (0)
and that Rp/Ap-R/A as right R/Pn-modules or as right R-modules. Thus there are two exact sequences of right R-modules (2016) (0)
FILTRATIONS OF MODULES BASED ON COHOMOLOGY (1985) (0)
Koh like theorems for polynomials in mixed characteristic (2015) (0)
Syzygies of small rank (1981) (0)
Syzygies: BASIC ELEMENT THEORY (1985) (0)
A Brief History of Order Ideals (2013) (0)
Order ideals, annihilator ideals and pathological behavior (2016) (0)
On the structure of Abelian groups (1969) (0)
APPENDIX: SOME CONSTRUCTIONS OF VECTOR BUNDLES (1985) (0)
Dominant dimension of finite algebras (1975) (0)

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