Gabriele Nebe | Academic Influence

Gabriele Nebe's AcademicInfluence.com Rankings

Gabriele Nebe

Mathematics

#3368

World Rank

#4984

Historical Rank

Algebra

#112

World Rank

#184

Historical Rank

Geometry

#218

World Rank

#301

Historical Rank

Measure Theory

#3693

World Rank

#4356

Historical Rank

mathematics Degrees

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Mathematics

Gabriele Nebe's Degrees

PhD Mathematics University of Bonn

Why Is Gabriele Nebe Influential?

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According to Wikipedia, Gabriele Nebe is a German mathematician with contributions in the theory of lattices, modular forms, spherical designs, and error-correcting codes. With Neil Sloane, she maintains the Online Catalogue of Lattices. She is a professor in the department of mathematics at RWTH Aachen University.

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Gabriele Nebe'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

Interleaver design for turbo codes (2000) (185)
Self-dual codes and invariant theory (2009) (163)
The Invariants of the Clifford Groups (2000) (118)
On tight spherical designs (2012) (89)
Finite Rational Matrix Groups (1995) (61)
Automorphism groups of Gabidulin-like codes (2016) (56)
Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics) (2006) (53)
Lower Bounds for Measurable Chromatic Numbers (2008) (50)
Designs in Grassmannian Spaces and Lattices (2002) (48)
On Siegel modular forms of weigth 12 (2001) (44)
Some Cyclo-quaternionic Lattices☆ (1998) (44)
Finite quaternionic matrix groups (1998) (44)
An even unimodular 72-dimensional lattice of minimum 8 (2010) (42)
On the Euclidean minimum of some real number fields (2005) (40)
Lattice chain models for affine buildings of classical type (2002) (35)
EXTREMAL LATTICES OF MINIMUM 8 RELATED TO THE MATHIEU GROUP M22 (1998) (28)
Globally maximal arithmetic groups (2002) (27)
The strongly perfect lattices of dimension $10$ (2000) (26)
Network coding with flags (2018) (24)
Finite subgroups of GLn(Q) for 25 ≤ n ≤ 31 (1996) (24)
On the equivalence of quadratic APN functions (2011) (23)
Computing in arithmetic groups with Voronoï's algorithm☆ (2014) (22)
An extremal [72, 36, 16] binary code has no automorphism group containing Z2 x Z4, Q8, or Z10 (2011) (20)
A Simple Construction for the Barnes-Wall Lattices (2002) (18)
Kneser— Hecke— operators in coding theory (2005) (18)
Classification of Two Genera of 32-Dimensional Lattices of Rank 8 over the Hurwitz Order (1997) (17)
Low dimensional strongly perfect lattices. I: The 12-dimensional case (2005) (17)
Complete weight enumerators of generalized doubly-even self-dual codes (2003) (16)
Recognition of division algebras (2009) (16)
On self-dual MRD codes (2015) (15)
Unimodular lattices with long shadow (2003) (15)
Interleaver design for short block length turbo codes (2000) (15)
Mini-Workshop: Arithmetik von Gruppenringen (2007) (15)
Automorphisms of doubly even self‐dual binary codes (2008) (14)
Codes and invariant theory (2003) (13)
ON AUTOMORPHISMS OF EXTREMAL EVEN UNIMODULAR LATTICES (2013) (12)
Finite Subgroups of GL24(Q) (1996) (12)
The root lattices of the complex reflection groups (1999) (12)
On theta series attached to maximal lattices and their adjoints (2009) (12)
ρ — Adic Analogues of Ramanujan Type Formulas for 1/π (2013) (12)
The Normaliser Action And Strongly Modular Lattices (1997) (12)
The group ring of SL 2 (2 f ) over 2 -adic integers (2000) (10)
The Automorphism Group of an Extremal {72, 36, 16} Code Does Not Contain Z7, Z3×Z3, or D10 (2012) (10)
On the classification of lattices over $\Q(\sqrt{-3})$, which are even unimodular $\Z$-lattices (2009) (10)
Maximal Integral Forms of the Algebraic Group G2 Defined by Finite Subgroups (1998) (10)
The automorphism group of a self-dual [72, 36, 16] code does not contain S3, A4 or D8 (2013) (9)
Nonexistence of Extremal Lattices in Certain Genera of Modular Lattices (1996) (9)
Orthogonal Frobenius reciprocity (2000) (9)
Boris Venkov's Theory of Lattices and Spherical Designs (2012) (8)
S-extremal strongly modular lattices (2007) (8)
A fourth extremal even unimodular lattice of dimension 48 (2013) (8)
The Group Ring of SL2(pf) over p-adic Integers for p Odd☆ (2000) (7)
ON THE CLASSIFICATION OF EVEN UNIMODULAR LATTICES WITH A COMPLEX STRUCTURE (2012) (7)
On extremal self-dual ternary codes of length 48 (2011) (7)
Odd unimodular lattices of minimum 4 (2002) (7)
Optimal Interleaver Design for Short Block-length Turbo Codes (2000) (7)
Hermitian modular forms congruent to 1 modulo p (2008) (7)
On the radical idealizer chain of symmetric orders (2003) (7)
Maximal finite subgroups and minimal classes (2013) (7)
The automorphism group of a self-dual binary [72,36,16] code does not contain Z7, Z3xZ3, or D10 (2011) (6)
ON EXTREMAL QUASI-MODULAR FORMS AFTER KANEKO AND KOIKE (2019) (6)
On the classification of lattices over $\mathbb{Q}(\sqrt{-3})$, which are even unimodular ℤ-lattices (2010) (6)
Elementary Divisors of Gram Matrices of Certain Specht Modules (2002) (6)
Dense lattices as Hermitian tensor products (2013) (6)
Low dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14 (2008) (6)
Hecke actions on certain strongly modular genera of lattices (2005) (6)
Extremal Even Unimodular Lattices of Rank 32 and Related Codes (1993) (5)
An analogue of the Pless symmetry codes (2013) (5)
The Group Ring ofSL2(p2) over thep-adic Integers☆ (1998) (5)
Finite Subgroups of GL 2 4(Q). (1996) (5)
Strongly modular lattices with long shadow (2002) (5)
Construction and Investigation of Lattices with Matrix Groups F(g) := Ff 2 Q Dd J F = F Tr ; Gfg Tr = F for All G 2 Gg (5)
Strongly perfect lattices sandwiched between Barnes–Wall lattices (2018) (5)
The principal block of ℤ p S 2p (2002) (4)
Binary Hermitian Lattices over Number Fields (2019) (4)
Zonal Functions for the Unitary Groups and Applications to Hermitian Lattices (2002) (4)
Automorphisms of extremal unimodular lattices in dimension 72 (2014) (4)
A Gilbert-Varshamov type bound for Euclidean packings (2008) (4)
Invariants of Orthogonal G-Modules from the Character Table (2000) (3)
On involutions in extremal self-dual codes and the dual distance of semi self-dual codes (2014) (3)
On extremal even unimodular 72-dimensional lattices (2013) (3)
The orthogonal character table of SL2(q) (2016) (3)
An analogue of Hecke-operators in coding theory (2005) (3)
Automorphism groups of self-dual codes (2009) (3)
Clifford-Weil groups for finite group rings, some examples (2008) (3)
Clifford-Weil groups of quotient representations (2008) (3)
Orders and polytropes: matrix algebras from valuations (2021) (3)
On lattices whose minimal vectors form a 6-design (2009) (3)
A method for building permutation representations of finitely presented groups (2016) (3)
A generalisation of Turyn's construction of self-dual codes (Research into Vertex Operator Algebras, Finite Groups and Combinatorics) (2011) (3)
Degenerate flag varieties in network coding (2020) (3)
The Group Ring of SL 2( p 2) over the p-adic Integers (1998) (3)
Automorphisms of modular lattices (2019) (3)
The unreasonable effectiveness of the tensor product (2012) (2)
On the cokernel of the Witt decomposition map (2000) (2)
Bolytrope orders (2021) (2)
Weighted Generating Functions and Configuration Results for Type II Lattices and Codes (2009) (2)
On conjugacy of diagonalizable integral matrices (2019) (2)
Real and Complex Clifford Groups (2006) (2)
Quaternary quadratic lattices over number fields (2017) (2)
Finite Weil representations and associated Hecke algebras (2009) (2)
On Group Ring Automorphisms (2004) (2)
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. (2013) (2)
Generalizing Subspace Codes to Flag Codes Using Group Actions (2018) (2)
Slopes of Euclidean lattices, tensor product and group actions (2018) (2)
Self-Dual Codes Over Chain Rings (2020) (2)
The Automorphism Group of an Extremal <formula formulatype="inline"> <tex Notation="TeX">$[{72,36,16}]$</tex></formula> Code Does Not Contain <formula formulatype="inline"><tex Notation="TeX">$Z_{7}$</tex></formula>, <formula formulatype="inline"><tex Notation="TeX">$Z_{3}\times Z_{3}$</tex></formul (2012) (1)
Orthogonal representations of finite groups (2016) (1)
One Class Genera of Lattice Chains Over Number Fields (2016) (1)
On the Classification of Lattices Over ℚ(√-3) Which Are Even Unimodular ℤ-Lattices of Rank 32 (2013) (1)
Low dimensional strongly perfect lattices IV: The dual strongly perfect lattices of dimension 16 (2008) (1)
The Invariants of the Cli ord (1999) (1)
Golden lattices (2012) (1)
The Structure of Maximal Finite Primitive Matrix Groups (1997) (1)
Orthogonal determinants of characters (2021) (1)
A parallel algorithm for Gaussian elimination over finite fields (2018) (1)
Self-Dual Codes Over Chain Rings (2019) (1)
ON BLOCKS WITH CYCLIC DEFECT GROUPS AND THEIR HEAD ORDERS (2003) (1)
Dual strongly perfect lattices (2013) (1)
Slopes of Euclidean lattices, tensor product and group actions (2019) (0)
The mathematical background of the subgroup tables (2011) (0)
On free elementary ZpCp lattices. (2020) (0)
There is no [24, 12, 9] doubly-even self-dual code over 픽4 (2016) (0)
Subspaces Fixed by a Nilpotent Matrix (2022) (0)
Single-class genera of orthogonal groups (2019) (0)
Lattices and Applications in Number Theory (2016) (0)
Hecke operators for algebraic modular forms (2016) (0)
The Main Theorems (2006) (0)
On the dual distance of semi self-dual codes (2014) (0)
A ug 2 00 8 LOWER BOUNDS FOR MEASURABLE CHROMATIC NUMBERS (2009) (0)
A new extremal even unimodular lattice of dimension 48 (2013) (0)
Chapter 1.5 The mathematical background of the subgroup tables (2006) (0)
Self-dual codes and invariant theory 1 (0)
Classical Self-Dual Codes (2006) (0)
25-Designs , groups and lattices (2006) (0)
Lifting properties of blocks (2017) (0)
The Category Quad (2006) (0)
Orthogonal Stability (2022) (0)
On free elementary Z p C p-lattices (2021) (0)
Lattices and Spherical Designs (2010) (0)
Further Examples of Self-Dual Codes (2006) (0)
Network coding and spherical buildings (2016) (0)
Enumeration of Self-Dual Codes (2006) (0)
Kneser-Hecke-Operators for Codes over Finite Chain Rings (2016) (0)
Algorithms for lattices and algebraic automorphic forms (2019) (0)
On free elementary $$\mathbb {Z}_p C_p$$-lattices (2021) (0)
Equivariant quadratic forms in characteristic 2 (2022) (0)
Even Lattices with Covering Radius < p 2 (2003) (0)
N ov 2 00 2 Strongly modular lattices with long shadow (2008) (0)
2 The radical idealizer chain (2003) (0)
Book Review: Perfect lattices in Euclidean spaces (2004) (0)
On automorphisms of extremal even unimodular lattices of dimension 48 (2012) (0)
The Group Ring of Sl 2 (p F P-adic Integers for P Odd (2000) (0)
Shadows of Odd Unimodular Lattices (2003) (0)
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices (2020) (0)
Network coding with flags (2017) (0)
On orthogonal discriminants of characters (2022) (0)
On extremal lattices in jump dimensions (2012) (0)
Extremal lattices and hilbert modular forms (2017) (0)
Group rings of finite groups over p-adic integers, some examples (2002) (0)
Automorphism groups of Gabidulin-like codes (2016) (0)
Extremal and Optimal Codes (2006) (0)
On free elementary ZpCp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}_p C_p$$\end{document}-lattices (2021) (0)
Maximal Isotropic Codes and Lattices (2006) (0)
The Type of a Self-Dual Code (2006) (0)
Computing with Arithmetic Groups (2017) (0)
Weight Enumerators and Important Types (2006) (0)

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