2009
December
Thursday 17th Scott Murray (University of Sydney) Lie Theory in Magma
Thursday 10th Alexander Kasprzyk (University of Sydney) GRDB: An online database
Thursday 3rd Derek Holt (University of Warwick, UK) Artin groups of large type are automatic
November
Thursday 26th Derek Holt (University of Warwick, UK) Maximal Subgroups of Classical Groups in Low Dimensions
Thursday 19th Claus Fieker (University of Sydney) Representations over number fields
Thursday 12th Derek Holt (University of Warwick, UK) Computing Projective Indecomposable Modules of Finite Groups Over Finite Fields
Tuesday 3rd Bill Hart (University of Warwick, UK) MPIR: A library for Multiple Precision Arithmetic
Tuesday 3rd Allan Steel (University of Sydney) A Rational Meataxe and the Automatic Construction of Irreducible Rational Representations of Finite Groups
October
Tuesday 27th Daniel J. Bernstein (University of Illinois at Chicago) Speeding up characteristic 2
Tuesday 27th Derek Holt (University of Warwick, UK) On Coxeter's Families of Group Presentations
September
Thursday 24th Ivan Morel (ENS, Lyon) H-LLL: Householder inside LLL
Thursday 10th Kamal Khuri-Makdisi (American University of Beirut) Fast arithmetic in Picard groups of general curves
Thursday 3rd David Bailey (Chief Technologist, Computational Research Dept., Lawrence Berkeley National Laboratory) Experimental Mathematics, Multicore Processors and Highly Parallel Computing
August
Thursday 27th Mark Watkins (University of Sydney) Dirichlet and Hecke characters and L-functions therein
July
Tuesday 14th David Eisenbud (University of California, Berkeley) Some interesting challenges in Computational Algebraic Geometry
Thursday 9th Nils Bruin (Simon Fraser) Bounding Mordell–Weil ranks of Jacobians of smooth plane quartics
June
Thursday 25th Nils Bruin (Simon Fraser) Mordell–Weil sieving
Thursday 11th Mark Watkins (University of Sydney) A new extremal even unimodular lattice of dimension 80
Thursday 4th Robert Wilson (Queen Mary University, UK) A simple construction of the large Ree groups
May
Thursday 21st John Voight (Vermont) Constructing nonsolvable number fields ramified only at small primes
Thursday 14th Rob Wilson (Queen Mary University London) A New Approach to the Leech Lattice
Thursday 14th Dan Yasaki (University of North Carolina) Hecke operators and Bianchi forms
April
Thursday 30th Jared Weinstein (UCLA) Calculating the local components of a modular form
Thursday 2nd John Cannon (University of Sydney) Implementing the Classification Theorem for Finite Simple Groups
March
Thursday 19th David Gruenewald (Marseille) Explicit Complex Multiplication in Genus 2
Thursday 12th Gerriet Moehlmann (TU-Berlin) Calculating isomorphisms and inclusions of function fields
February
Thursday 19th Alexander Kasprzyk (University of Kent, UK) Classifying toric log Del Pezzo surfaces with the aid of a computer
Thursday 12th Ken Nakamula (Tokyo Metropolitan University) Quantum Public Key Cryptosystem and Implementation over Imaginary Quadratic Fields
Thursday 12th Richard Brent (ANU, joint work with Paul Zimmermann, INRIA) Three ways to test irreducibility
Tuesday 10th Steve Donnelly (University of Sydney) Modular forms and the theta series
Tuesday 10th Bill Unger (University of Sydney) Lattice automorphism groups
Tuesday 10th Damien Stehlé (University of Sydney) Enumeration of short vectors
Thursday 5th Gavin Brown (University of Kent, UK) Introduction to toric geometry: Part 2: The Cox Ring
Thursday 5th Frederik Vercauteren (Katholieke Universiteit Leuven) Forms of Elliptic Curves and their Arithmetic
January
Thursday 22nd Gavin Brown (University of Kent, UK) Introduction to toric geometry: Part 1: cones and fans
Thursday 22nd Mark Watkins (University of Sydney) L-function computations; theory and practice
Thursday 15th Reinhard Laue (Universitaet Bayreuth) A topic in Constructive Algebraic Combinatorics
2008
November
Thursday 27th Gilles Villard (CNRS, U. Lyon, INRIA) On computing matrix determinants and adjoints without divisions
Thursday 20th Ivan Morel (ENS Lyon & Sydney) From an LLL-Reduced Basis to Another
October
Thursday 16th Steve Donnelly (University of Sydney) Computing Brandt Matrices
September
Thursday 4th Tim Dokchitser (University of Cambridge, UK) Parity Conjecture for elliptic curves
July
Thursday 24th Matthew Greenberg (University of Calgary) Cohomology of discrete groups and rational points on elliptic curves
February
Thursday 28th Michael Pohst (TU-Berlin) On Solving Diophantine Equations over Global Fields, Part 3
Thursday 28th Gabi Nebe (RWTH-Aachen) What is an interesting lattice?
Thursday 21st Michael Pohst (TU-Berlin) On Solving Diophantine Equations over Global Fields, Part 2
Thursday 21st Peter Fleischmann (University of Kent, UK) Some Aspects of Modular Invariant Theory of Finite Groups, Part 2
Sunday 17th Michael Pohst (TU-Berlin) On Solving Diophantine Equations over Global Fields, Part 1
Sunday 17th Peter Fleischmann (University of Kent, UK) Some Aspects of Modular Invariant Theory of Finite Groups, Part 1
Thursday 7th Gabi Nebe (RWTH-Aachen) Jurgen Opgenorth's algorithm to calculate the normalizer of a finite unimodular group
January
Wednesday 23rd Renate Scheidler (University of Calgary) Construction of Hyperelliptic Function fields of High Three-Rank
Wednesday 9th Nicolas Brisebarre (CNRS, LIP/Arenaire, ENS Lyon) Machine-efficient polynomial approximants
Wednesday 9th Damien Stehlé (University of Sydney) Lattice Reduction, Part 2
Monday 7th Damien Stehlé (University of Sydney) Lattice Reduction, Part 1
2007
November
Thursday 29th Andrea Previtali (Como) Building Characters and Representations for Finite Groups
Thursday 22nd Dimitri Leemans (Université Libre de Bruxelles) On computing subgroup lattices of sporadic groups with Magma
Thursday 15th Hugh Williams (Calgary) Pseudopowers and Primality Proving
October
Thursday 25th Scott Murray (University of Sydney) Algorithmic recognition of Lie algebras
Thursday 11th Mikael Johansson (Stanford) Computation of group cohomology and A-infinity algebras
September
Thursday 13th Lassina Dembele (Essen) Computing Hilbert modular forms
August
Thursday 30th Mike Vaughan-Lee (University of Oxford, UK) The biggest group ever
Thursday 30th Lassina Dembele (Essen) Computing Hilbert modular forms
Thursday 23rd Mike Vaughan-Lee (University of Oxford, UK) Classifying Groups of Small Order
Thursday 23rd Stephen Glasby (Central Washington University) The MeatAxe and f-cyclic matrices
Thursday 16th Tobias Beck (RICAM) Formal Desingularization of Surfaces in ℙ3
Thursday 9th Christophe Doche (Macquarie) Double-Base Number System in Elliptic Curve Cryptography
July
Thursday 26th Shuhong Gao (Clemson University) Grobner bases and fibre structures of points
June
Thursday 28th Gene Cooperman (Northeastern University, Boston) Twenty-Six moves or less Suffice to Solve Rubik's Cube
Thursday 21st Peter Brooksbank (Bucknell University) Algorithms for matrix algebras and their modules
Thursday 14th Richard Brent (ANU) Using Magma to find good xorshift random number generators
Thursday 14th Igor Shparlinski (Macquarie) Distribution of elliptic curves for pairing-based cryptography
Thursday 7th John Voight (IMA, University of Minnesota) Computing zeta functions using Dwork cohomology
May
Thursday 31st Steve Donnelly (University of Sydney) Why compute modular forms?
Thursday 24th Don Taylor (University of Sydney) Lie algebras from finite groups
Thursday 17th Eamonn O'Brien (Auckland) Determination of p-groups and nilpotent Lie rings
Thursday 3rd Willem de Graaf (Trento) Computing with algebraic groups
April
Thursday 26th Charles Leedham-Green (Queen Mary University London) An overview of matrix group recognition
Thursday 12th Henrik Bäärnhielm (Queen Mary University London) Constructive recognition of the Big Ree groups
March
Thursday 15th Bill Unger (University of Sydney) Constructing representations using extension
Thursday 15th Claus Fieker (University of Sydney) Writing a representation over a minimal field
Thursday 15th John Cannon (University of Sydney) Approaches to the construction of ordinary and modular representations
Thursday 8th Allan Steel (University of Sydney) An Automatic System for Constructing Irreducible Rational Representations of Finite Groups
Thursday 8th Bob Howlett (University of Sydney) W-graphs for Specht modules
Thursday 8th Derek Holt (University of Warwick, UK) The construction of integral representations and their normalizers
Thursday 1st Derek Holt (University of Warwick, UK) Transitive groups of degree 32
January
Thursday 25th Volker Gebhardt (University of Western Sydney) Braid Groups in Cryptography
Thursday 25th Peter Brooksbank (Bucknell) Constructive recognition of simple groups
Thursday 18th Damien Stehlé (ENS, Lyon) Lattice Point Enumeration Revisited
2006
December
Thursday 7th Mark Watkins (University of Sydney) Heuristics for elliptic curves
November
Thursday 16th Colva Roney-Dougal (University of St. Andrews, UK) Maximal subgroups of low dimensional classical groups
Thursday 9th Eric Rains (UC Davis) Efficient computation of isomorphisms between finite fields
October
Thursday 19th Frederik Vercauteren (KU Leuven) The number field sieve in the medium prime case
July
Thursday 27th Dan Roozemond (University of Sydney) Combinatorics with Representations - Embedding LiE in Magma
Thursday 13th Mike Harrison (University of Sydney) Using curves in Magma for cryptography and other fun things
Thursday 13th Allan Steel (University of Sydney) Reduce Everything To Multiplication
Tuesday 11th Damien Stehlé (ENS, Lyon) The new LLL routines in the MAGMA computational algebra system
Thursday 6th Sergei Haller (Giessen) Groups of Lie Type in MAGMA
June
Thursday 29th Damien Stehlé (ENS, Lyon) LLL on the average
Thursday 15th Steve Donnelly (University of Sydney) Finding rational points on elliptic curves with Magma
Thursday 1st Jon Carlson (Athens, GA) Monomial Condensation
May
Thursday 25th Scott Murray (University of Sydney) Computing with Algebraic Groups
Thursday 18th John Voight (University of Sydney) Computational aspects of Shimura curves
Thursday 4th Bill Unger (University of Sydney) An algorithm for Schur indices
April
Thursday 6th Tom Fisher (University of Cambridge, UK) The Hessian of a genus one curve
March
Thursday 30th John Voight (University of Sydney) Computing maximal orders for quaternion algebras
Thursday 16th Jürgen Klüners (Universität Kassel) Generating Subfields
Thursday 9th Gabriele Nebe (RWTH Aachen) An analogue of Hecke-operators in coding theory
Thursday 2nd Damien Stehlé (ENS, Lyon) The floating-point LLL algorithm
February
Thursday 23rd Gabriele Nebe (RWTH Aachen) Self-dual codes and invariant theory
Thursday 16th Stephen Watt (University of Western Ontario, Canada) Interfaces for Pen-Based Mathematics
Thursday 16th John Voight (University of Sydney) Basic algorithms for quaternion algebras (cont)
Wednesday 8th John Voight (University of Sydney) Basic algorithms for quaternion algebras
Thursday 2nd Jasper Scholten (KU Leuven) Curve Cryptography: Index calculus and cover attacks II
January
Wednesday 25th Wieb Bosma (Radboud) Radicals
Thursday 19th Jasper Scholten (KU Leuven) Curve Cryptography: Index calculus and cover attacks
2005
December
Tuesday 20th James Hirschfeld (University of Sussex, UK) Curves over a finite field: how many points?
Thursday 15th Jasper Scholten (KU Leuven) Elliptic curves over function fields
November
Thursday 10th Claus Fieker (University of Sydney) Galois Groups – a challenge for Computer Algebra
September
Thursday 29th Allan Steel (University of Sydney) Linear and Polynomial Algebra in Magma: A Detailed Overview
Thursday 22nd Frank-Olaf Schreyer (Universität des Saarlandes) Cohomology, Chow forms and Resultants
Thursday 15th Frank-Olaf Schreyer (Universität des Saarlandes) Higher direct images and families of vector bundles
Thursday 8th Miles Reid (University of Warwick, UK) K3s and Fano 3-folds, Tom and Jerry
June
Thursday 16th Willem de Graaf (Trento) Classifying solvable Lie algebras with Magma
Thursday 9th Eamonn O'Brien (Auckland) An introduction to matrix group recognition
May
Thursday 19th Mark Watkins (Penn. State) Some new features in MAGMA v2.12 related to number theory
Thursday 12th Oliver Goodman (University of Melbourne) Arithmetic invariants of hyperbolic 3-manifolds
Thursday 5th Sebastian Pauli (TU Berlin) Constructing Class Fields of Local Fields
April
Thursday 28th Paul Zimmerman (Nancy) The MPFR library: recent developments and future plans
Thursday 7th Derek Holt (University of Warwick, UK) The computation of normal subgroups in finitely presented groups
Thursday 7th Steven Galbraith (Royal Holloway, University of London) The η pairing
March
Thursday 17th Florian Hess (TU Berlin) An algorithm for computing isomorphisms of algebraic function fields
Thursday 10th Mark Stather (University of Warwick, UK) Computing with Matrix Groups
Thursday 3rd Arje Cohen and Scott Murray (Eindhoven and Sydney) Conjugacy and Twisted Conjugacy in Groups of Lie Type
February
Thursday 24th Alexa van der Waall (Simon Fraser) A journey through the local factorisation of differential operators
Thursday 10th Nils Bruin (Simon Fraser) Exhibiting Sha[2] of Jacobians of hyperelliptic curves
Thursday 3rd Colva Roney-Dougal (University of St. Andrews, UK) Computing Maximal Subgroups of Finite Groups