Cornelius Greither

Cornelius Greither's AcademicInfluence.com Rankings

Cornelius Greither

Mathematics

#4752

World Rank

#6734

Historical Rank

Number Theory

#219

World Rank

#283

Historical Rank

Group Theory

#397

World Rank

#456

Historical Rank

Algebra

#694

World Rank

#909

Historical Rank

mathematics Degrees

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Mathematics

Why Is Cornelius Greither Influential?

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According to Wikipedia, Cornelius Greither is a German mathematician specialising in Iwasawa theory and the structure of Galois modules. Education and career Greither completed his PhD in 1983 at the Ludwig-Maximilians-Universität München under the supervision of Bodo Pareigis: his thesis bears the title Zum Kürzungsproblem kommutativer Algebren. He habilitated in 1988 at same university, with thesis title Cyclic Galois extensions and normal bases.

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Cornelius Greither'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

On the Equivariant Tamagawa number conjecture for Tate motives (2003) (156)
Hopf Galois theory for separable field extensions (1987) (114)
Class groups of abelian fields, and the main conjecture (1992) (98)
The Equivariant Tamagawa Number Conjecture: A survey (2003) (93)
Fitting Ideals of Class Groups of Real Fields with Prime Power Conductor (1998) (66)
Cyclic Galois Extensions of Commutative Rings (1993) (59)
An Equivariant Main Conjecture in Iwasawa theory and applications (2011) (56)
Equivariant Weierstrass Preparation and Values of L-functions at Negative Integers (2003) (53)
Some cases of Brumer's conjecture for abelian CM extensions of totally real fields (2000) (49)
Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture (2007) (46)
Swan Modules and Hilbert–Speiser Number Fields (1999) (45)
Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation (2008) (40)
Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring (1992) (35)
On the two generator problem for the ideals of a one-dimensional ring (1982) (30)
Computing Fitting ideals of Iwasawa modules (2004) (25)
The structure of some minus class groups, and Chinburg's third conjecture for abelian fields (1998) (25)
The Galois module structure of l-adic realizations of Picard 1-motives and applications (2010) (25)
A galois correspondence for radical extensions of fields (1986) (24)
Classes réalisables d'extensions non abéliennes (2006) (22)
The Brumer-Stark conjecture in some families of extensions of specified degree (2014) (17)
Annihilators for the class group of a cyclic field of prime power degree (2004) (16)
Hopf algebras, polynomial formal groups, and Raynaud orders (1998) (13)
On normal integral bases in ray class fields over imaginary quadratic fields (1997) (11)
Seminormality, projective algebras, and invertible algebras (1981) (11)
Annihilators of minus class groups of imaginary abelian fields (2007) (11)
On Chinburg's second conjecture for abelian fields. (1996) (11)
Tate sequences and Fitting ideals of Iwasawa modules (2016) (10)
Annihilators for the Class Group of a Cyclic Field of Prime Power Degree, II (2006) (10)
Hopf Algebras and Galois Module Theory (2021) (10)
Linear forms on Sinnott's module (2014) (9)
Relative integral normal bases in Q(ζp) (1990) (8)
Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields (2012) (8)
On the restricted Hilbert-Speiser and Leopoldt properties (2009) (8)
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems (2002) (8)
The second syzygy of the trivial $G$-module, and an equivariant main conjecture (2020) (7)
Eigenspaces of the ideal class group (2014) (7)
On totally real Hilbert-Speiser Fields of type C_p (2008) (6)
Non-existence and splitting theorems for normal integral bases (2008) (6)
Fitting Ideals of Iwasawa Modules and of the Dual of Class Groups (2017) (6)
Unramified Kummer extensions of prime power degree (1989) (6)
Annihilators for the class group of a cyclic field of primepower degree III (2015) (6)
Cyclic Galois extensions and normal bases (1991) (6)
Improving Ramachandra’s and Levesque’s unit index (1999) (5)
On a conjecture concerning minus parts in the style of Gross (2008) (5)
On a transformation of the hopf algebra in a hopf galois extension (1996) (4)
Serre's problem for one-dimensional ground rings (1982) (4)
Washington units, semispecial units, and annihilation of class groups (2020) (4)
Fitting ideals of p-ramified Iwasawa modules over totally real fields (2020) (4)
A note on seminormal rings andA1-fibrations (1986) (4)
Galois Extensions of Prime Degree (1989) (3)
Bounds on the number of ideals in finite commutative nilpotent F p-algebras (2018) (3)
Construction of a hopf algebra of z-rank whose antipode has order 2n (1989) (3)
Forms of the affine line and their genus (1986) (2)
On the compositum of orthogonal cyclic fields of the same odd prime degree (2020) (2)
Galois-Cohen-Lenstra heuristics (2000) (2)
Capitulation for locally free class groups of orders of group algebras over number fields (2006) (2)
Abstract $\ell$-Adic 1-Motives and Tate's Canonical Class for Number Fields (2018) (2)
Bounds on the number of ideals in finite commutative nilpotent $\mathbb{F}_p$-algebras (2017) (2)
Constructing Monogenic Hopf Algebras over p-adic Rings of Integers (1995) (2)
An Equivariant Version of an Index Formula of Fröhlich and McCulloh (1998) (1)
Abstract $\ell$-adic $1$-motives and Tate's class (2017) (1)
Picard 1-motives and Tate sequences for function fields (2022) (1)
CM FIELDS WITHOUT UNIT-PRIMITIVE ELEMENTS (2017) (1)
A Note on Generators of Even-Numbered $K$-groups of Rings of Integers (2009) (1)
Book Review: Multiplicative Galois module structure (1997) (0)
Geometric theory: cyclic extensions of finitely generated fields (1992) (0)
Jeremy Gray: A History of Abstract Algebra. From Algebraic Equations to Modern Algebra (2018) (0)
N T ] 3 1 M ay 2 01 8 Tame Galois module structure revisited (2019) (0)
The structure of higher-dimensional Iwasawa modules under a far-fetched assumption (2019) (0)
On a question of Hayes concerning integrality of Brumer elements (2015) (0)
N T ] 2 J un 2 01 8 Tame Galois module structure revisited (2018) (0)
Washington units, semispecial units, and annihilation of class groups (2020) (0)
Galois theory of commutative rings (1992) (0)
Tame Galois module structure revisited (2019) (0)
Tate sequences and lower bounds for ranks of class groups (2013) (0)
On constructions similar to the Burnside ring for commutative rings and profinite groups. (1989) (0)
Corestriction and Hilbert's Theorem 90 (1992) (0)
Tame Galois module structure revisited (2018) (0)
Calculations with units (1992) (0)
On the monoid of tame extensions (1989) (0)
CM fields with a reciprocal unit-primitive element (2017) (0)
On a question of Hayes concerning integrality of Brumer elements (2017) (0)
Cyclic Galois theory without the condition “p−1 ≥ R” (1992) (0)
Fitting ideals and various notions of equivalence for modules (2023) (0)
Fitting Ideals in Number Theory and Arithmetic (2021) (0)
tlNRAMII~IED KtIMMER EXTENSIONS OF PRIME POWER DEGREE (1989) (0)
On the equivalence of the restricted Hilbert-Speiser and Leopoldt properties (2008) (0)
Galois modules , Iwasawa theory and leading term conjectures (2011) (0)
Minimal Hopf-Galois Structures on Separable Field Extensions (2020) (0)
On linearly Chinese field extensions (2020) (0)
Families of curves with Galois action and their L-functions (2015) (0)
Jeremy Gray: A History of Abstract Algebra. From Algebraic Equations to Modern Algebra (2019) (0)
Cyclic p -extensions and {ie771-}-extensions of number fields (1992) (0)

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Published Works

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What Schools Are Affiliated With Cornelius Greither?

Cornelius Greither's AcademicInfluence.com Rankings