References#
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Motives
ANTS II
ANTS III
ANTS IV
ANTS V
ANTS VI
ANTS VII
Rational representations and permutation representations of finite groups
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Computing Automorphisms of Abelian Number Fields
An introduction to Gröbner bases
Cohomology of Finite Groups
The Manin Constant, Congruence Primes, and the Modular Degree
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Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero
With an appendix by J. Cremona and B. Mazur
(untitled)
Closest point search in lattices
The Design and Analysis of Computer Algorithms
Network Flows, Theory, Algorithms, and Applications
Random lattices, threshold phenomena and efficient reduction algorithms
Structure of Algebras
Revised printing
A method for extending binary linear codes
Quaternion orders, quadratic forms, and Shimura curves
Graded Rings Corresponding to Polarised K3 Surfaces and Q-Fano $3$-folds
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Jacobians of genus one curves
An algebraic method for public-key cryptography
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Theory of braids
Geometric Algebra
On the Jacobians of plane cubics
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Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones
(untitled)
Weierstrass points at cusps $_o(N)$
Elliptic curves and primality proving
Hecke operators on $\Gamma_0(N)$
An algorithm for finding the blocks of a permutation group
Black-box recognition of finite simple groups of Lie type by statistics of element orders
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Zum Round 4 Algorithmus
Finiteness results for modular curves of genus at least 2
PD-sets for $\Z_4$-linear codes: Hadamard and Kerdock codes
Partial permutation decoding for binary linear and $\Z_4$-linear Hadamard codes
Submitted to Designs, Codes and Cryptography, arXiv:1512.01839
The group structure of the normaliser of $\Gamma_0(N)$ after Atkin-Lehner
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Computation of Hilbert Functions
Algorithms for finite groups
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Preprint
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Adjoint Computation for Hypersurfaces Using Formal Desingularizations
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Gröbner Bases
A uniform approach for the fast computation of matrix-type Padé approximants
The splitting algorithm for Egyptian fractions
Permutation decoding of $\Z_2\Z_4$-linear codes
Efficient Multivariate Factorization Over Finite Fields
Factoring into coprimes in essentially linear time
The conjugate dimension of algebraic numbers
Construction of finite groups
The groups of order at most 1000 except 512 and 768
The groups of order $qndot p$
Codierungstheorie -- Konstruktion und Anwendung linearer Codes
Number field sieve to compute Class groups
Improved techniques for computing the ideal class group and a system of fundamental units in number fields
Solving Thue Equations of High Degree
A new approach to the word and conjugacy problems in the braid groups
The infimum, supremum, and geodesic length of a braid conjugacy class
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A new principle in the geometry of numbers, with some applicati ons
Corners and arithmetic groups
Avec un appendice: Arrondissement des variétés à coins, par A. Douady et L. Hérault
On $\Z_2\Z_4$-linear codes and duality
$\Z_2\Z_4$-linear codes: generator matrices and duality
Canonical bases for Cyclotomic fields
Discovering Mathematics with Magma
On the computation of quadratic $2$-class groups
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Lattices of Compatibly Embedded Finite Fields
Computations with Finitely generated Modules over Dedekind Domains
Simplified O($n$) Planarity Algorithms
submitted
Fast constructive recognition of a black box group isomorphic to $S_n$ or $A_n$ using Goldbach's conjecture
A characterization of null systems in projective space
An improved method of finding the centralizer of an involution
New Methods to Color the Vertices of a Graph
(untitled)
An improved Monte Carlo factorization algorithm
Factorizations of $a^n 1$, $13 łe a < 100$
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The set of dominance-minimal roots
A finiteness property and an automatic structure for Coxeter groups
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Finding All Cliques of an Undirected Graph
Constructing the group preserving a system of forms
StarAlge
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Intersecting two classical groups
Bounds on the minimum distance of linear codes
Bounds on the size of linear codes
Introduction to Complex Reflection Groups and their Braid Groups
Datagraphs in algebraic geometry
F. Winkler and U. Langer (eds.)
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Chabauty methods using elliptic curves
The arithmetic of genus two curves with (4,4)-split Jacobians
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Two-cover descent on hyperelliptic curves
The Mordell-Weil sieve: Proving non-existence of rational points on curves
Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal
On Some Computational Problems in Finite Abelian Groups
Approximating rings of integers in number fields
Orbifold Riemann-Roch for 3-folds and applications to Calabi-Yaus
Diagrams for geometries and groups
Handbook of incidence geometry
Diagram geometry
Cycles, $L$-functions and triple products of elliptic curves
On the discriminant scheme of homogeneous polynomials
The local Langlands conjecture for $GL(2)$
Computing with permutation and matrix groups I: Normal closure, commutator subgroups, series
Computing with permutation and matrix groups III: Sylow subgroups
Computing Sylow subgroups of permutation groups using homomorphic images of centralizers
On Holt's algorithm
An inductive schema for computing conjugacy classes in permutation groups
The Schreier Algorithm for Matrix Groups
Effective computation with group homomorphisms
Fundamental Algorithms for Permutation Groups
A mod five approach to modularity of icosahedral Galois representations
Modular forms and modular symbols over imaginary quadratic fields
Tensor decomposition of the Suzuki groups
submitted
Recognising the Suzuki groups in their natural representations
Recognising the Ree groups in their natural representations
A practical model for computation with matrix groups
Constructive recognition of the Ree groups
preprint
Good quantum error-correcting codes exist
(untitled)
Recognizing doubly transitive groups
Finite permutation groups and finite simple groups
Structural computation in finite permutation groups
Computing Sylow subgroups in permutation groups
Computing the subgroup lattice of a permutation group
Computing the subgroups of a permutation group
Computing chief series, composition series and socles in large permutation groups
Automorphism group computation and isomorphism testing in finite groups
Computing maximal subgroups of finite groups
The transitive permutation groups of degree 32
Computing subgroups of low index in a finite group
On the computation of normal subgroups in permutation groups
Implementation and analysis of the Todd-Coxeter algorithm
Sur les Représentations $$-adiques attach«ees aux formes modulaires de Hilbert
On the number of curves of genus 2 over a finite field
Zeta function and cryptographic exponent of supersingular curves of genus 2
Curves of genus two over fields of even characteristic
Curves of genus two over fields of even characteristic
Field of moduli and field of definition for curves of genus $2$
On the number of curves of genus 2 over a finite field
Field of moduli and field of definition for curves of genus 2
ØEuvres complètes. Partie I. Groupes de Lie
Simple Groups of Lie Type
The Sylow 2-subgroups of the finite classical groups
Simple groups of Lie type
Pure and Applied Mathematics, Vol. 28
Diophantine equations with special reference to elliptic curves
Rational Quadratic Forms
Lectures on elliptic curves
Second Descents for Elliptic Curves
Prolegomena to a Middlebrow Arithmetic of Curves of Genus $2$
Point counting on curves using a gonality preserving lift
Linear algebra over $Z_p[[u]]$ and related rings
On some questions about a family of cyclically presented groups
Some remarks on the computation of complements and normalizers in soluble groups
Calculating the Order of an Invertible Matrix
Generating random elements of a finite group
Elliptic Functions
GCDHEU: Heuristic Polynomial GCD Algorithm Based on Integer GCD Computation
On Implementing the Push-Relabel Method for the Maximum Flow Problem
Augment or Push? A Computational Study of Bipartite Matching and Unit Capacity Flow Algorithms
The algebraic theory of spinors and Clifford algebras
Collected works. Vol. 2, Edited and with a foreword by Pierre Cartier and Catherine Chevalley, With a postface by J.-P. Bourguignon
Algorithms for the solution of systems of linear Diophantine equations
Graph Theory, An Algorithm Approach
Linear Programming
Finite complex reflection groups
Computing in unipotent and reductive algebraic groups
An algorithm for Lang's Theorem
Computing in groups of Lie type
Lie algebras generated by extremal elements
Row reduction for twisted groups of Lie type
preprint
Row reduction for twisted groups of Lie type
Handbook of Elliptic and Hyperelliptic Curve Cryptography
A Course in Computational Algebraic Number Theory
Hermite and Smith normal form algorithms over Dedekind domains
Advanced Topics in Computational Number Theory
Computing Ray Class Groups, Conductors and Discriminants
Computing Ray Class Groups, Conductors and Discriminants
Converting Bases with the Gröbner Walk
Nilpotent orbits in semisimple Lie algebras
Constructive recognition for $PSL(2, q)$
Calculating characters of $p$-groups
Computing modular and projective character degrees of soluble groups
Elliptic Curve Handbook
Component groups of purely toric quotients
Arithmetic on a quintic threefold
On transitive permutation groups
Reduction of group constructions to point stabilizers
Fast evaluation of logarithms in fields of characteristic two
Discrete logarithms in GF($p$)
Finding a small root of a univariate modular equation
Estimation and Computation with Matrices Over Finite Fields
Fano $3$-fold hypersurfaces
Explicit birational geometry of $3$-folds
On the largest conjugacy class size in a finite group
Even Unimodular 12-Dimensional Quadratic Forms over $Q(5)$
Constructive membership testing in classical groups
Topics in computational group theory: primitive permutation groups and matrix group normalisers
The primitive permutation groups of degree less than 4096
Ideals, Varieties and Algorithms
Using Algebraic Geometry
The homogeneous coordinate ring of a toric variety
Discrete groups generated by reflections
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
Modular symbols for $_1(N)$ and elliptic curves with everywhere good reduction
Algorithms for modular elliptic curves
Explicit $n$-descent on elliptic curves. I. Algebra
Visualizing elements in the Shafarevich-Tate group
Efficient solution of rational conics
Solving conics over function fields
Explicit $n$-Descent On Elliptic Curves, III. Algorithms.
ArXiv preprint. http://arxiv.org/abs/1107.3516
Explicit $n$-Descent On Elliptic Curves, II. Geometry.
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves
Reduction of binary cubic and quartic forms
Classical invariants and 2-descent on elliptic curves
Visualizing elements in the Shafarevich-Tate group
Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula
Explicit second $p$-descents on elliptic curves
Explicit descent in the Picard group of a cyclic cover of the projective line
Über die Bestimmung der ganzen Elemente in Ra-dikalerweiterungen algebraischer Zahlkörper
The geometry of toric varieties
Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups
On vertices of simple modules for symmetric groups of small degrees
Classification of solvable Lie algebras
Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
Lie Algebras: Theory and Algorithms
Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
http://arxiv.org/abs/math.NT/0512477
Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras
Constructing semisimple subalgebras of semisimple Lie algebras
A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces
Solving exponential Diophantine equations using lattice basis reduction algorithms
Construction of surfaces in P4
Sheaf algorithms using the Exterior algebra
Computing in Algebraic Geometry
Groupes de Garside
Valeurs de fonctions $L$ et périodes d'intégrales
Les schémas de modules de courbes elliptiques
An algebraic approach to the association schemes of coding theory
Données radicielles
Computing Hilbert Modular Forms Over Fields With Nontrivial Class Group
Finite geometries
Generalized Hughes planes
Explicit methods for Hilbert modular forms
The Class Number of Hereditary Orders in Non-Eichler Algebras over Global Fields
Some Characteristics of Bruhat Ordering on a Coxeter group and determination of the Relative Möbius Function
An algorithm to compute generalized Padé-Hermite Forms
Computation of Invariants for Reductive Groups
Computing with matrix groups over infinite fields
On deciding finiteness of matrix groups
Deciding finiteness of matrix groups in positive characteristic
Algorithms for the Tits alternative and related problems
Algorithms for linear groups of finite rank
Recognizing finite matrix groups over infinite fields
Modular forms and modular curves
Definitions of a group and a field by independent postulates
On finite algebras
An Index Calculus Algorithm for Plane Curves of S\ mall Degree
Graph Theory, Second Edition
On the groups of cubefree order
Effective black-box constructive recognition of classical groups
Constructive recognition of classical groups in even characteristic
Modularity of the Consani-Scholten quintic
On the projective invariants of quartic plane curves
High--speed computation of group characters
Identifying Frobenius elements in Galois groups
ComputeL, pari package to compute motivic $L$-functions
Computing special values of motivic $L$-functions
About a new method for computing in algebraic number fields
Direct methods for sparse matrices
Euler factors and local root numbers for symmetric powers of elliptic curves
The virtual Haken conjecture; experiments and examples
Rational Puiseux Expansions
Maximal Subgroups of the Classical Groups
On the Fitting subgroup of a polycyclic-by-finite group and its applications
Constructing automorphism groups of a $p$-groups
Enumerating $p$-groups
Sheaf Cohomology and Free Resolutions over Exterior Algebras
Finding sparse systems of parameters
Direct Methods for Primary Decomposition
Three-dimensional link theory and invariants of plane curve singularities
Commutative Algebra with a View Toward Algebraic Geometry
The geometry of syzygies: a second course in commutative algebra and algebraic geometry
Algorithms for positive braids
Rational Points Near Curves and Small Nonzero $|x^3 - y^2|$ via Lattice Reduction
The automorphism group of the modular curve $X_0(63)$
Elliptic and modular curves over finite fields and related computational issues
Kennzeichnung elliptischer Gruppenräume
Endliche Inzidenzgruppen
Invariants for the computation of intransitive and transitive Galois groups
A Note on Short Cosets
Good models for cubic surfaces
(To appear)
Explicit computations of invariants of plane quartic curves
Cubic surfaces with a Galois invariant double-six
Weil polynomials of K3 surfaces
Groups acting on hyperbolic space
Harmonic analysis and number theory
Word processing in groups
Graph Algorithms
Algorithmic analysis of presentations of groups and modules
A new efficient algorithm for computing Gröbner bases ($F_4$)
(untitled)
The computations of some Schur indices
On rank and kernel of $\Z_4$-linear codes
$\Z_2\Z_4$-linear codes: rank and kernel
A practical algorithm to compute the geometric picard lattices of K3 surfaces of degree 2
preprint arXiv:1808.00351 [math.AG]
On solving relative norm equations in algebraic number fields.
Computation of Galois Groups of Rational Polynomials
http://arxiv.org/abs/1211.3588
Über relative Normgleichungen in algebraischen Zahlkörpern
Computing Class Fields via the Artin Map
On reconstruction of algebraic numbers
A procedure for determining algebraic integers of given norm
(untitled)
Polynomial identity tensors and their invariants
in preparation
Partial permutation decoding for simplex codes
Local solubility and height bounds for coverings of elliptic curves
The invariants of a genus one curve
Testing equivalence of ternary cubics
In ANTS X: Proceedings of the Tenth Algorithmic Number Theory Symposium
On 5 and 7 descents for elliptic curves
Some examples of $5$ and $7$ descent for elliptic curves over Q
The Hessian of a genus one curve
preprint arXiv:math/0610403v2 [math.NT]
Finding rational points on elliptic curves using 6-descent and 12-descent
Invariant theory for the elliptic normal quintic, I. Twists of X(5)
Minimisation and reduction of 5-coverings of elliptic curves
Minimal models for $6$-coverings of elliptic curves
Linear groups of small degree over finite fields
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves
Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
Recursive computation of tensor power components
Centralizers and conjugacy classes in finite classical groups
Conjugacy in finite classical groups
Conjugacy problem for braid groups and Garside groups
Proving the primality of very large numbers with fastECPP
Hilbert modular forms
On Artin's conjecture for odd 2-dimensional representations
1585
On the class numbers of certain quadratic extensions
Berechnung relativer Ganzheitsbasen mit dem Round-2-Algorithmus
Berechnung von Maximalordnungen über Dedekindringen
Probability in the Classical Groups over Finite Fields: Symmetric Functions, Stochastic Algorithms, and Cycle Indices
Algebraic Curves
Introduction to toric varieties
The William H. Roever Lectures in Geometry
Young Tableaux
On the resolution of index form equations in quartic number fields
Simultaneous representation of integers by a pair of ternary quadratic forms -- With an application to index form equations in quartic number fields
Computing all power integral bases of cubic fields
Quadratic Double Circulant Codes over Fields
An Algorithm for finding an algebraic number whose norm is a given rational number
Length-based conjugacy search in the braid group
Preprint; available at http://www.arxiv.org/math.GR/0209267
Holomorphic Hilbert modular forms
The braid group and other groups
Counting Points on Hyperelliptic Curves over Finite Fields
Algorithmique des Courbes Hyperelliptiques et Applications à la Cryptographie
Constructing a short defining set of relations for a finite group
Efficient collection in infinite polycyclic groups
A new approach to the conjugacy problem in Garside groups
Preprint; available at http://www.arxiv.org/math.GT/0306199
Characters of finite Coxeter groups and Iwahori-Hecke algebras
Algorithms for Computer Algebra
Berechnung von Galoisgruppen über Zahl- und Funktionenkörpern
Galois Group computation for Rational Polynomials
Automorphic forms on adele groups
Definite quadratic forms over $\F_q[X]$
Classification of genus 3 curves in special strata of the moduli space.
Writing representations over minimal fields
Writing projective representations over subfields
Computing intersections and normalizers in soluble groups
Computational group theory, Part 1
Modular curves of genus 2
Non-hyperelliptic modular curves of genus 3
Algorithms For Del Pezzo Surfaces of Degree 5 (Construction, Parametrization)
Improving an algorithm to solve Multiple Simultaneous Conjugacy Problems in braid groups
Preprint; available at http://www.arxiv.org/math.GT/0212150
Codes on algebraic curves
Codes on algebraic curves
(untitled)
Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules, $R$-matrices
Constructing canonical bases of quantized enveloping algebras
Five constructions of representations of quantum groups
Bounds on the minimum distance of linear codes
http://www.codetables.de/
Bounds on the minimum distance of quantum codes
http://iaks-www.ira.uka.de/home/grassl/QECC/
On the indecomposable representations of a finite group
Computing systems of eigenvalues associated to Hilbert modular forms
Another probabilistic method in the theory of Young tableaux
Efficient decoding of $\Z_p^k$-linear codes
A Singular Introduction to Commutative Algebra
Series Expansions of Algebraic Functions
Normal forms of convex lattice polytopes
Preprint; available at http://arxiv.org/abs/1301.6641
Heegner Points and Derivatives of $L$-series
Locally finite near-fields
Higher Newton Polygons in the computation of discriminants and prime ideal decomposition in number fields
Newton polygons of higher order in algebraic number theory
Collection of Ramanujan-like series for $1/^2$
(untitled)
Computing Hecke eigenvalues below the cohomological dimension
A Linear Time Implementation of SPQR-Trees
Fast Elliptic Curve Point Counting Using Gaussian Normal Basis
Construction effective des codes géométriques
Effective construction of algebraic geometry codes
Special issue on algebraic geometry codes
A rigorous subexponential algorithm for computation of class groups
Combinatorial Theory
The theory of groups
Computing Galois Cohomology and Forms of Linear Algebraic Groups
The $\Z_4$-linearity of kerdock, preparata, goethals and related codes
Improved Analysis of Kannan's Shortest Lattice Vector Algorithm (Extended Abstract)
A new automorphism of $X_0(108)$
Preprint: online at arXiv as arXiv:1108.5595v3[math.NT]
Explicit solution by radicals, gonal maps and plane models of algebraic curves of genus 5 or 6
Rational Parametrisation for Degree 6 Del Pezzo Surfaces using Lie Algebras
An extension of Kedlaya's algorithm for hyperelliptic curves
Algebraic Geometry, GTM 52
Efficient computation of p-adic heights
Algebraic topology
Coset enumeration strategies
On Coxeter's families of group presentations
Recognizing badly presented Z-modules
An algorithm for computing isomorphisms of algebraic function fields
Zur Klassengruppenberechnung in algebraischen Zahlkörpern
Zur Divisorenklassengruppenberechnung in globalen Funktionenkörpern
http://www.staff.uni-oldenburg.de/florian.hess/publications/diss\_FH.pdf
Hilbert modular forms and Iwasawa theory
Low-dimensional representations of quasi-simple groups
Corrigenda: Low-dimensional representations of quasi-simple groups
A practical attack on some braid group based cryptographic primitives
Almost-classical Lie algebras. I, II
Canonical heights on hyperelliptic curves
Preprint http://arxiv.org/abs/1004.4503
Handbook of Computational Group Theory
A computer program for the calculation of a covering group of a finite group
The mechanical computation of first and second cohomology groups
The computation of normalizers in permutation groups
Perfect Groups
KBMAG -- Knuth-Bendix in Monoids and Automatic Groups
A new approach to proving hyperbolicity
Computing decompositions for modules with respect to a normal subgroup
Testing matrix groups for primitivity
Groups, languages and automata
Dividing a Graph into Triconnected Components
Normal forms over Dedekind domains, efficient implementation in the computer algebra system KANT
(untitled)
(untitled)
Computing automorphism groups and isomorphism testing in finite groups
Spans in the module $\Z_m^s$
Matrix generators for exceptional groups of Lie type
Point counting in families of hyperelliptic curves
Preprint http://arxiv.org/abs/math.NT/0601438
Quasi-quadratic elliptic curve point counting using rigid cohomology
http://wis.kuleuven.be/algebra/hubrechts/
A class of non-Desarguesian projective planes
A linear algebraic attack on the AAFG1 braid group cryptosystem
Computing subgroups invariant under a set of automorphisms
Constructing transitive permutation groups
Reflection groups and Coxeter groups
The geometry of some special arithmetic quotients
Classification Problems for Finite Linear Groups
Elliptic Curves
Similarity of integer matrices
Working with weighted complete intersections
Arithmetic variety of moduli for genus two
Arithmetic variety of moduli for genus two.
(untitled)
Sphere Packings, Lattices and Groups
Lie algebras
(untitled)
On strong pseudoprimes to several bases
Fast recognition of alternating groups of unknown degree
An L3-U3-quotient algorithm for finitely presented groups
The Representation Theory of the Symmetric Group
The representation theory of the symmetric group
With a foreword by P. M. Cohn, With an introduction by Gilbert de B. Robinson
Lectures on Quantum Groups
On the arithmetic of certain modular curves
The Elliptic Curve Digital Signature Algorithm (ECDSA)
Available at http://www.cacr.math.uwaterloo.ca/
A database of local fields
Über die Berechnung von Lösungen relativer Normgleichungen in algebraischen Zahlkörpern
Infinite Dimensional Lie Algebras
On the homology theory of fiber spaces
arXiv:math/0504437v1
Subquadratic-time factoring of polynomials over finite fields
Reflection Groups and Invariant Theory
Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix
Finding composition factors of permutation groups of degree $nłeq 106$
Fuchsian groups
Exponential Sums and Differential Equations
Rigid Local Systems
Representations of Coxeter groups and Hecke algebras
Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology
$A$-infinity algebras in representation theory
Calculating Invariant Rings of Finite Groups over Arbitrary Fields
An Algorithm to Calculate Optimal Homogeneous Systems of Parameters
Some Algorithms in Invariant Theory of Finite Groups
Automorphism groups of the modular curves $X_0(N)$
SYMMETRICA, an object oriented computer-algebra system for the symmetric group
http://www.mathe2.uni-bayreuth.de/axel/symneu\_engl.html
Some non-Gorenstein Hecke algebras attached to spaces of modular forms
Minimal generating sets of non-modular invariant rings of finite groups
http://arxiv.org/abs/math/0703035
Finite symplectic matrix groups
available at http://www.math.rwth-aachen.de/ Markus.Kirschmer/symplectic/thesis.pdf
A normal form for definite quadratic forms over $\F_q[t]$
Definite quadratic and hermitian form with small class number
Algorithmic enumeration of ideal classes for quaternion orders
The Subgroup Structure of the Finite Classical Groups
Elliptic K3 surfaces with geometric Mordell-Weil rank 15
Über die Berechnung von Teilkörpern algebraischer Zahlkörper
Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper
On computing subfields. A detailed description of the algorithm.
Algorithms for Function Fields
On Computing Subfields
Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen
The Book of Involutions
Preface by Jacques Tits
The Art of Computer Programming
New public-key cryptosystem using braid groups
Introduction to Elliptic Curves and Modular Forms
Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
Endomorphism rings of elliptic curves over finite fields
Hecke module structure of quaternions
Component groups of quotients of $J_0(N)$
The AGM-$X_0(N)$ Heegner Point Lifting Algorithm and Elliptic Curve Point Counting
Component Groups of Quotients of $J_0(N)$
Two-Descent for Elliptic Curves in Characteristic Two
Arithmetic of elliptic curves upon quadratic extension
Complete classification of reflexive polyhedra in four dimensions
PALP, A package for analyzing lattice polytopes with applications to toric geometry
$\Z_4$-linear Hadamard and extended perfect codes
An arithmetic-geometric method in the study of the subgroups of the modular group
(untitled)
(untitled)
Finite groups of matrices whose entries are integers
Computing zeta functions of algebraic curves using Harvey's trace formula
available at https://web.maths.unsw.edu.au/ davidharvey/research/kyng-thesis.pdf
Plane quartics over $$ with complex multiplication
Small degree representations of finite Chevalley groups in defining ch aracteristic
Lectures on projective planes
Computation of Discrete Logarithms in Prime Fields
Solving Large Sparse Linear Systems over Finite Fields
Tensors: geometry and applications
Elliptic Functions
Schubert polynomials and the Littlewood-Richardson rule
Computations with classical and p-adic modular forms
An approximate functional equation for the Hecke zeta-function of an imaginary quadratic field
A reduction algorithm for for large-base primitive permutation groups
Solving Zero-dimensional Algebraic Systems
Cryptanalysis of the public key encryption based on braid groups
Introduction to smooth manifolds
(untitled)
Potential Weakness of the Commutator Key Agreement Protocol Based on Braid Groups
The structure of groups of prime power order
Oxford Science Publications
Variants of product replacement
Recognising tensor products of matrix groups
Tensor Products are Projective Geometries
Recognising tensor-induced matrix groups
Constructive recognition of classical groups in odd characteristic
Presentations on standard generators for classical groups
Computing with group homomorphisms
Unitary Reflection Groups
NFS with four large primes: An explosive experiment
Factoring polynomials with rational coefficients
Abelian varieties having purely additive reduction
On an algorithm for finding a base and a strong generating set for a group given by generating permutations
Computing automorphism groups of error-correcting codes
Permutation Group Algorithms Based on Partitions, I: Theory and Algorithms
Partitions, refinements, and permutation group computation
Algorithmique des courbes elliptique dan les corps finis
Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time
A Quasi-Quadratic Time Algorithm for Hyperelliptic Curve Point Counting
Fast computation of isomorphisms of hyperelliptic curves and explicit descent
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
Polylogarithms and associated functions
Noncommutative Gröbner Bases and Filtered-Graded Transfer
Finding the characteristic of a group of Lie type
Recognition of finite exceptional groups of Lie type
Courbes modulaires de genre 1
Modular forms and elliptic curves over imaginary quadratic fields
http://etheses.nottingham.ac.uk/138/
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
Paths and root operators in representation theory
Cones, crystals, and patterns
Products and plethysms of characters with orthogonal, symplectic and symmetric groups
Finding intersections and normalizers in finitely generated nilpotent groups
On the computation of local components of a newform
preprint
Einklassige Geschlechter orthogonaler Gruppen
The construction of Tutte's $8$-cage and the Conder graph
Quantum groups at roots of $1$
Braid group action and canonical bases
Constructive recognition of $\SL_3(q)$
On the computation of elementary divisors of integer matrices
Highly symmetric hypertopes
Preprint, arXiv:1604.03162
Groups and nilpotent Lie rings whose order is the sixth power of a prime
Canonical heights on genus two Jacobians
Basic algorithms for rational function fields
On a construction of the basic spin representations of symmetric groups
https://arxiv.org/abs/0911.3794
Modulformen und quadratische Formen über dem quadratischen Zahlkörper $R(5)$
Symmetric functions and Hall polynomials
With contributions by A. Zelevinsky, Oxford Science Publications
The Theory of Error-Correcting Codes
On the invariant fields of binary octavics
On the invariant field of binary octavics
Recognition of small dimensional representations of general linear groups
Combinatorial group theory
Presentations of groups in terms of generators and relations
Foundations of linear algebra
Cubic Forms (2nd ed.)
Vol. 4 of North-Holland Mathematical Library
DIEHARD: a battery of tests of randomness
http://stat.fsu.edu/pub/diehard/
The Monster, a random number generator with period over $10^2857$ times as long as the previously touted longest-period one
Preprint
A new class of random number generators
Symmetric powers of elliptic curve $L$-functions
Commutative ring theory
New RSA Vulnerabilities Using Lattice Reduction Methods
Computation of $p$-adic heights and log convergence
The p-adic sigma function
(untitled)
(untitled)
Practical Graph Isomorphism
Isomorph-free exhaustive generation
(untitled)
http://pallini.di.uniroma1.it/nug26.pdf
Twists of genus three curves over finite fields
Some remarks on the computation of conjugacy classes of soluble groups
Elliptic curve public key cryptosystems
Handbook of Applied Cryptography
Intersections sur des courbes modulaires
Universal Fourier expansions of modular forms
Explicit $4$-descents on an elliptic curve
Sur la méthode des graphes, Exemples et applications
La méthode des graphes. Exemples et applications
Complexity of lattice problems: a cryptographic perspective
On isometries of inner product spaces
An FFT Extension of the Elliptic Curve Method of Factorization
An introduction to commutative and noncommutative Gröbner bases
Calcul du nombre de points sur une courbe elliptique dans un corps fini: aspects algorithmiques
The EZ GCD algorithm
A treatise on the theory of determinants
Tata Lectures on Theta II
The orthogonal and symplectic groups
Polynomial selection for the number field sieve integer factorisation algorithm
http://web.comlab.ox.ac.uk/oucl/work/richard.brent/ftp/Murphy-thesis.ps.gz
Selecting base points for the Schreier-Sims algorithm for matrix groups
A Dynamic Programming Approach for Timing and Designing Clique Algorithms
On the construction of Gröbner bases using syzygies
Computing canonical heights on Jacobians
available at http://www.math.uni-hamburg.de/home/js.mueller/
Explicit Kummer surface formulas for arbitrary characteristic
Sur les propriétés arithmétiques des cubiques planes du premier genre
(untitled)
Local computation of differents and discriminants
Computer Solution of Linear Programs
Finite subgroups of $GL_n(Q)$ for $25łeq nłeq 31$
Finite quaternionic matrix groups
The Catalogue of Lattices
A Catalogue of Lattices
Some algorithms for computing with finite permutation groups
Primitive permutation groups containing a cycle of prime-power length
A Recognition Algorithm for Classical Groups
Irregular links at infinity of complex affine plane curves
A data structure for a uniform approach to computations with finite groups
Modification rules for the orthogonal and symplectic groups
Application of computers to questions like those of Burnside. II
Explicit local reciprocity for tame extensions
LLL on the Average
Floating-Point LLL Revisited
An LLL Algorithm with Quadratic Complexity
Constructive recognition of normalisers of small extra-special matrix groups
A Recognition Algorithm for Classical Groups over Finite Fields
A Recognition Algorithm for Non-Generic Classical Groups over Finite Fields
The $p$-group generation algorithm
The Groups of Order 256
Isomorphism testing for $p$-groups
Towards effective algorithms for linear groups
Algorithms for matrix groups
The groups with order $p^7$ for odd prime $p$
Subgroup chains in matrix groups
Introduction to Quadratic Forms
Convex bodies and algebraic geometry
An introduction to the theory of toric varieties, Translated from the Japanese
Hyperelliptic modular curves
The graded ring of invariants of ternary quartics I
Unpublished
Dual Cones and the Voronoi Algorithm
Crystallographic Algorithms and Tables
Advanced linear--programming computing techniques
Constructive and destructive facets of Weil descent on elliptic curves
Arbitrary Precision Error Analysis for computing $(s)$ with the Cohen-Olivier algorithm: Complete description of the real case and preliminary report on the general case
http://www.inria.fr/rrrt/rr-5852.html
Kustin--Miller unprojection with complexes
A characterization of a special ordering in a root system
Diagram geometries
On the computation of all extensions of a $p$-adic field of a given degree
Zur Berechnung von Strahlklassengruppen
Efficient Enumeration of Extensions of Local Fields with Bounded Discriminant
Factoring polynomials over local fields
Constructing Class Fields over Local Fields
Computing residue class rings and Picard groups of orders
Lattice Basis Reduction in Function Fields
Finite groups that admit Kantor families
On the Permutation Automorphism Group of Quaternary Linear Hadamard Codes
Characterization of the automorphism group of quaternary linear Hadamard codes
An Algorithm for Computing Modular Forms on $_0(N)$
An L2-quotient algorithm for finitely presented groups
Beiträge zur Bestimmung der endlichen irreduziblen Untergruppen von GL(n,Z) und ihrer ganzzahligen Darstellungen
Finite unimodular groups of prime degree and circulants
On maximal finite irreducible subgroups of GL(n,Z). Parts I and II
On maximal finite irreducible subgroups of GL(n,Z). Parts III-V
Computing Isometries of Lattices
An Improved Algorithm for Computing Logarithms over GF($p$) and Its Cryptographic Significance
Computational Algebraic Number Theory
A Modification of the LLL Reduction Algorithm
Computational Aspects of Kummer Theory
Algorithmic Algebraic Number Theory
Explicit descent for Jacobians of cyclic covers of the projective line
The Cassels-Tate pairing on polarized abelian varieties
MPFR, a LGPL-library for multiple-precision floating-point computations with exact rounding
http://www.mpfr.org/
Quaternary Plotkin constructions and Quaternary Reed-Muller codes
Construction of $\Z_4$-linear Reed-Muller codes
Rigorous and efficient short lattice vectors enumeration
Fields of definition of building blocks
On some simple groups defined by Chevalley
ACE
Decomposition of toric morphisms
Undergraduate Algebraic Geometry
Chapters on Algebraic Surfaces
Graded rings and birational geometry
Maximal Orders
Group: a computer system for group-theoretic calculations
Explicit Descent On Elliptic Curves Over Function Fields
Root Numbers
Root Numbers
Conjugacy of subgroups of the general linear group
The primitive permutation groups of degree less than 2500
The affine primitive permutation groups of degree less than 1000
Algorithms for Lie algebras of algebraic groups
On Lie algebras generated by few extremal elements
Irreducibility testing of finite nilpotent linear groups
Primitivity testing of finite nilpotent linear groups
Weyl groups, affine Weyl groups and reflection groups
Matrix generators for the orthogonal groups
Projective Models of K-3 Surfaces
A Treatise on the Higher Plane Curves
A treatise on the analytic geometry of three dimensions
Classification theory of semi-simple algebraic groups
With an appendix by M. Sugiura, Notes prepared by Doris Schattschneider, Lecture Notes in Pure and Applied Mathematics, 3
Strategies for Computing Minimal Free Resolutions
An introduction to nonassociative algebras
On restricted roots of semi-simple algebraic groups
(untitled)
Effective radical parametrization of trigonal curves
Preprint: online at arXiv as arXiv:1104.2470v1[math.AG]
Rational parametrization of surfaces
Verwendung von Untergruppenleitern zur Bestimmung von Doppelnebenklassen.
Dixon's Character Table Algorithm Revisited
Applied Cryptography: Protocols, Algorithms, and Source Code in C
Lattice Basis Reduction: Improved Practical Algorithms and Solving Subset Sum Problems
Attacking the Chor-Rivest Cryptosystem by Improved Lattice Reduction
Needles in a Haystack: Special Varieties via Small Fields
An algorithm for computing genera of ternary and quaternary quadratic forms
Two matrix group algorithms with applications to computing the automorphism group of a finite $p$-group
The fundamental theorem of algebra in terms of computational complexity
Schnelle Berechnung von Kettenbruchentwicklungen
Untersuchung konstruktiver Probleme in globalen Funktionenkörpen
Faisceaux Algebriques Coherents
Conducteurs d'Artin des caractères réels
Elliptic subfields and automorphisms of genus $2$ function fields
http://au.arxiv.org/abs/math.AG/0107142
Finite unitary reflection groups
On the Graded Ring of Invariants of Binary Octavics
Scheme for reducing decoherence in quantum computer memory
The Primitive Soluble Permutation Groups of Degree less than 256
NTL, Number Theory C++ Library
http://www.shoup.net/ntl/
A New Polynomial Factorization Algorithm and its Implementation
Infinite descent on elliptic curves
The arithmetic of elliptic curves
Solving norm equations in relative number fields using $S$-units.
Quadratic equations in dimensions 4, 5 and more
Computational methods in the study of permutation groups
Computing the order of a solvable permutation group
Computation with Finitely Presented Groups
Computing character degrees in $p$-groups
$S$-unit equations, binary forms and curves of genus $2$
Explicit endomorphisms and correspondences
http://hdl.handle.net/2123/1066
Computing automorphisms of finite soluble groups
Computing Galois Groups over the rationals
On $\Z_4$-linear codes with parameters of Reed-Muller codes
On the adjunction mapping
Strong Pseudoprimes to Twelve Prime Bases
Irreducible finite integral matrix groups of degree 8 and 10
Die irreduziblen Darstellungen der symmetrischen Gruppe.
Explicit $8$-descent On Elliptic Curves
available at http://www.jacobs-university.de/research/dissertations/
Constructive Sylow Theorems for the Classical Groups
The determination of Galois Groups
Error correcting codes in quantum theory
A new scheme for computing with algebraically closed fields
A New Algorithm for the Computation of Canonical Forms of Matrices over Fields
Gröbner Basis Timings Page
http://magma.maths.usyd.edu.au/users/allan/gb/
Conquering Inseparability: Primary Decomposition and Multivariate Factorization over Algebraic Function Fields of Positive Characteristic
A New Database of Elliptic Curves---First Report
Explicit approaches to modular abelian varieties
Component Groups of Purely Toric Quotients of Semistable Jacobians
Modular forms: a computational approach
An introduction to computing modular forms using modular symbols
Generators for simple groups
Algebraic function fields and codes
On the height constant for curves of genus two
On the height constant for curves of genus two
Minimal models for 2-coverings of elliptic curves
Implementing 2-descent for Jacobians of hyperelliptic curves
Fast algorithms for linear algebra modulo $N$
Simple Lie algebras over fields of positive characteristic. I
Structure theory
Modular Lie algebras and their representations
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms, the quartic case
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms
How to solve a Diophantine equation
Efficient Computation of Maximal Orders in Artin--Schreier--Witt Extensions
Efficient Computation of Maximal Orders of Radical (including Kummer) Extensions
Computing Galois Groups of Polynomials (especially over Function Fields of Prime Characteristic)
Galois Groups in Magma
On Fano indices of Q-Fano 3-folds
Available as math.AG/0210309 on arXiv
Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau geometry
math.AG/0309033
Introduction to Algorithms
Invariant Wedderburn factors
Number Theoretic Background
Pairs of Generators for Matrix Groups. I
The geometry of the classical groups
A Space Efficient Algorithm for Group Structure Computation
Better Random Walks for Pollard's Rho Method
Classification of algebraic simple groups, Algebraic groups and discontinuous groups
Géométries polyédriques et groupes simples
Zeros of Dedekind zeta functions in the critical strip
Algebraic factoring and rational function integration
Hilbert Functions and the Buchberger Algorithm
Algebraic-geometric codes
Translated from the Russian by the authors
(untitled)
(untitled)
Schur indices of perfect groups
On the practical solution of the Thue equation
Computing chief series of a large permutation group
In preparation
Computing the character table of a finite group
Computing the solvable radical of a permutation group
Polynomial automorphisms and the Jacobian conjecture
Galois theory of linear differential equations
Another NP-complete partition problem and the complexity of computing short vectors in a lattice
Technical report 81-04, Mathematisch Instituut, Universiteit van Amsterdam
The cusp forms of weight $3$ on $2(2,4,8)$
Generating Subfields
Factorization of differential operators with rational functions coefficients
Formal solutions and factorization of differential operators with power series coefficients
Factoring Polynomials and the knapsack problem
LiE, A package for Lie Group Computations
Introduction to Coding Theory and Algebraic Geometry
Testing the equivalence of planar curves
Computing zeta functions of hyperelliptic curves over finite fields of characteristic 2
Fundamental domain drawing program
http://hverrill.net/fundomain/
Simplification pour les ordres des corps de quaternions totalement définits
Arithmétique des Algèbres de Quaternions
Efficient representation of binary nonlinear codes: constructions and minimum distance computation
Computing fundamental domains for cofinite Fuchsian groups
Quadratic forms and quaternion algebras: Algorithms and arithmetic
Computing CM points on Shimura curves arising from cocompact arithmetic triangle groups
Identifying the matrix ring: algorithms for quaternion algebras and quadratic forms
Modern Computer Algebra
Computing Frobenius Maps And Factoring Polynomials
Algebraic Curves
On the conjugacy classes in the unitary, symplectic and orthogonal groups
Examples of Genus Two CM Curves Defined over the Rationals
Computing with the Jacobian of a Genus 2 Curve
Geometry of classical groups over finite fields
Quaternary Codes
An improved multivariate polynomial factoring algorithm
The EEZ-GCD algorithm
Computing the modular degree of an elliptic curve
The Accelerated Integer GCD Algorithm
Jacobi Sums as ``Grössencharaktere''
Sommes de Jacobi et caractères de Hecke
Sur les périodes des intégrales abéliennes
Sylow p-subgroups of the classical groups over finite fields with characteristic prime to p
Bounding the number of rational points on certain curves of high rank
The theory of groups and quantum mechanics
Modular symbols and elliptic curves over imaginary quadratic fields
A course of modern analysis
Finite Permutation Groups
(untitled)
Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern mit einer Anwendung auf die Bestimmung aller ganzen Punkte einer Mordellschen Kurve
Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern. (On the solution of units and index form equations in algebraic number fields).
Explicit descent on elliptic curves
On the singular values of Weber modular functions
Polylogarithms, Dedekind Zeta Functions, and the Algebraic $K$-Theory of Fields
Über endliche Fastkörper
Symmetry principles in quantum systems theory
Applying sieving to the computation of quadratic class groups
KANT V4
The Number Theory Package KANT/KASH
Reconstructing plane quartics from their invariants
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell-Yan scattering
preprint arXiv:1908.01079 [math.AG]
The theory of groups and quantum mechanics
Translated from the second (revised) German edition by H. P. Robertson, Reprint of the 1931 English translation
Computing 2-cocycles for central extensions and relative difference sets
The Theory of Group Characters and Matrix Representations of Groups
Multiple-particle interference and quantum error correction
Éléments de mathématique. Algèbre. Chapitre 9
Reprint of the 1959 original
Su una generalizzazione dei piani di Hughes
Générateurs, relations et revêtements de groupes algébriques
Zeta and $L$ functions
Groupes réductifs de rang semi-simple $1$, Données radicielles
Groups over $Z$
Darstellungen von Gruppen. 2. Aufl.
Groupes de monodromie en géométrie algébrique. I
Séminaire de Géométrie Algébrique du Bois-Marie 1967--1969 (SGA 7 I), Dirigé par A. Grothendieck. Avec la collaboration de M. Raynaud et D. S. Rim, Lecture Notes in Mathematics, Vol. 288
Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: Systèmes de racines
Über die Anzahl der Dickson'schen Fastkörper gegebener Ordnung
The restriction of a representation of $GL_2(k)$ to $GL_2(O)$
The Algebraic Theory of Quadratic Forms
The geometry of discrete groups
Computing isometry groups of Hermitian maps
Determination of groups of prime-power order
Dimensions des espaces de formes modulaires
Modular forms of weight $1/2$
Clebsch-Gordan Series for symmetrized tensor products
Modular curves and the Eisenstein ideal
Algebra II. Chapters 4--7
Translated from the 1981 French edition by P. M. Cohn and J. Howie, Reprint of the 1990 English edition [Springer, Berlin; MR1080964 (91h:00003)]
A modified Todd-Coxeter algorithm
A Tietze transformation program
The calculation of the Schur multiplier of a permutation group
Improved algorithms for integer programming and related lattice problems
Polynomial Factorization and Nonrandomness of Bits of Algebraic and Some Transcendental Numbers
On the congruence of modular forms
Finite groups of Lie type
Conjugacy classes and complex characters, Reprint of the 1985 original, A Wiley-Interscience Publication
Integer and Combinatorial Optimization
Introduction to quantized enveloping algebras
Calculs de nombres de classes et de régulateurs de corps quadratiques en temps sous-exponentiel
(untitled)
Proc. Congress in Livorno, Italy, April 17--21, 1990
Number theory I
Fundamental problems, ideas and theories, A translation of Number theory 1 (Russian), Akad.\ Nauk SSSR, Vsesoyuz.\ Inst.\ Nauchn.\ i Tekhn.\ Inform., Moscow, 1990, Translation edited by A. N. Parshin and I. R. Shafarevich
Permutation groups and polynomial-time computation
A theorem on sandwich algebras
Translated in Proc.\ Steklov Inst.\ Math.\ 1991, no.\ 4, 121--126, Galois theory, rings, algebraic groups and their applications (Russian)
Algorithms for groups
Massively parallel computation of discrete logarithms
Proc. 12th Annual International Cryptology Conference, Santa Barbara, Ca, USA, August 16--20, 1992
Introduction to quantum groups
Families of elliptic curves with constant mod $p$ representations
CHEVIE---a system for computing and processing generic character tables
Computational methods in Lie theory (Essen, 1994)
Computing nilpotent quotients of finitely presented groups
Finding blocks of imprimitivity in small-base groups in nearly linear time
Algorithms for quantum computation: discrete logarithms and factoring
A non-constructive recognition algorithm for the special linear and other classical groups
Similarity of crystal bases
Computing the Fitting subgroup and solvable radical of small-base permutation groups in nearly linear time
Finite rational matrix groups
Implementing a Recognition Algorithm for Classical Groups
An algorithmic theory of lattice points in polyhedra
Finding the radical of an algebra of linear transformations
Algorithms for algebra (Eindhoven, 1996)
On computations in Kummer extensions
Computational algebra and number theory (Milwaukee, WI, 1996)
Efficient decomposition of associative algebras
Computing double cosets in soluble groups
Computational algebra and number theory (Milwaukee, WI, 1996)
On symmetric powers of differential operators
On the computation of conjugacy classes in permutation groups
Maui, July 21--23, 1997
Arithmetic of modular curves and applications
On the computation of the multiplicative group of residue class rings
Primitive prime divisor elements in finite classical groups
The Shortest Vector Problem in L2 is NP-hard for Randomized Reductions (Extended Abstract)
Shimura curve computations
Chabauty methods and covering techniques applied to generalized Fermat equations
Dissertation, University of Leiden, Leiden, 1999
The computational matrix group project
The locus of curves with prescribed automorphism group
Communications in arithmetic fundamental groups (Kyoto, 1999/2001)
Calculating Generators for Invariant Fields of Linear Algebraic Groups
Constructing representations of split semisimple Lie algebras
Effective methods in algebraic geometry (Bath, 2000)
Proper parametrization of surfaces with a rational pencil
The groups of order at most 2000
Introduction to $A$-infinity algebras and modules
(untitled)
Proc. 7th International Conference on the Theory and Applications of Cryptology and Information Security, Dec. 9--13, 2001, Gold Coast, Queensland, Australia
Factoring Polynomials and 0-1 vectors
A Comparison and a Combination of SST and AGM Algorithms for Counting Points on Elliptic Curves in Characteristic 2
Proc. 8th International Conference on the Theory and Applications of Cryptology and Information Security, Dec. 1--5 2002, Queenstown, New Zealand
Web posting
Under November 2002 entry at http://listserv.nodak.edu/archives/nmbrthry.html
An algorithmic analysis of the intersection property
How to do a $p$-descent on an elliptic curve
Solving quadratic equations using reduced unimodular quadratic forms
Computing in nilpotent matrix groups
Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms
Floating-point LLL: theoretical and practical aspects
To appear
A. S. Detinko and D. L. Flannery. Algorithms for computing with nilpotent matrix groups over infinite domains. J. Symbolic Comput., 43:8–26, 2008.
Centralizers and conjugacy classes in finite classical groups
Computing Chevalley bases in small characteristics
On one-relator quotients of the modular group
Euclid Meets Bézout: Intersecting Algebraic Plane Curves with the Euclidean Algorithm
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group
Computing with Hecke Grössencharacters
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects
http://dx.doi.org/10.1016/j.jalgebra.2012.07.054
Euler factors determine local Weil representations
Improved methods for the construction of relative invariants for permutation groups
Functional Decomposition using Principal Subfields
accepted
The conjugacy problem in $GL(n, Z)$
A census of small transitive groups and vertex-transitive graphs
A black-box algorithm for recognising finite symmetric and alternating groups, I