Faculty of Computing and Mathematical Sciences

Professor Ben Green

Arithmetic progressions of primes

Professor Ben Green

Linear equations in primes
Professor Roger Hosking

From Cold Regions to Modern Railtracks
Dr Nicholas Cavenagh
YouTube presentation
Professor T.G. Forbes

Predicting the Onset of Solar Eruptions
Associate Professor Graeme Hocking
Coating deformations in the jet stripping process

Andy Drizen

Finding Uniformly Distributed Steiner Triple Systems

Dr Nicholas Cavenagh

Cryptography, latin squares and cutting up triangles
Professor Stan Owocki
What Physics Sets the Upper Mass (Eddington) Limit of Stars?
Professor Jongchul Chae

Unsolved Problems in Solar Prominences
Dr Timothy Stokes

Programs as Algebras
Associate Professor Kevin Broughan
Three topics in number theory from 2008: the factorial function, flat primes and Lehmer's Euler phi function conjecture
Associate Professor Graeme Hocking
A steady flow with unsteady forcing
Jethro van Ekeren
BSc(Hons) Mathematics Student
The Lamb Shift
Professor Peter Cameron - FORDER LECTURER 2008
The random graph
Professor Peter Cameron - FORDER LECTURER 2008
Sudoku, Mathematics and Statistics
Felicien Bonnefoy
Higher order spectral methods applied to nonlinear ocean waves
Professor Michael Eastwood
Div, grad, curl and all that
Professor Igor Shparlinski
Modular Hyperbolas
Dr Jochen Garcke
Sparse grids for machine learning
Dr Ian Hawthorn
The Banach-Tarski paradox

Vasile Sinescu (PhD student)
Construction of good lattice rules based on the L_∞ weighted star discrepancy
Professor Matt Visser
Analogue spacetimes
Professor Boris Pavlov
Typical problems of analytic perturbation theory on the continuous spectrum
Dr Gareth Vaughan
Smoothed particle hydrodynamics for fluids
Professor Gary Walsh
Linear recurrence sequences and their connections to cryptography and Diophantine analysis
Garry J. Tee
Sir William Rowan Hamilton (1805–1865, Royal Astronomer of Ireland)
Dirk Nuyens
On the construction of rank-1 lattice rules
Dr Tim Stokes and Dr Ian Hawthorn
Idempotent semiheaps
Professor Martin Bridson (2005 FORDER LECTURER)
The geometry and grammar of 3-manifolds
Dr Bart Oldemann (NZIMA Postdoc)
The saddle-node Hopf bifurcation with global reinjection
Vasile Sinescu (PhD student)
Construction of rank - 1 lattice rules based on the general weighted star discrepancy
Professor R. Bruce Richter (2004 NZMS LECTURER)
A simple proof of Grötzsch's Theorem
Dr Mark Harmer
Conformal Mappings of the triangle groups and a theorem for weighted Laplaceans (joint work with Gaven Martin and Boris Pavlov)
Professor Arieh Iserles
Highly oscillatory quadrature and its applications
Dr Shayne Waldron
An introduction to tight frames
Associate Professor Chris Bose
Shock waves for the discrete Boltzmann equation
Professor Alfred Sneyd and Kirk Spragg (PhD Student)
Liquid-metal oscillations and viscous damping
Dr Gabriel Fruit
Propagation of MHD waves in current sheets. Comparison with CLUSTER data.
Dr Rua Murray
Variational methods for invariant measure approximation: duality and numerical studies
Associate Professor Chris Bose
A variational approach to the approximation of invariant measures
Professor Ernie Kalnins
Separation of variables for spaces of constant curvature
Dr Timothy Stokes
Internalized equality and modal logic
Dr Alistair Windsor
Exactly realizable sequences are smoothly realizable
Dr Vadim B. Kuznetsov
Jack polynomials: integral equation, factorization and representation
Dr Jiling Cao
Automatic continuity
Dr Graham Rickard
Ocean modelling at NIWA
Dr Marcel Jackson
The Kuratowski closure-complement problem
Kirk Spragg (MATH420Y - BCMS Project Talk )
The shallow water equations: The method of characteristics and two numerical approximation schemes
Dasha Leonova (MATH421Y - BCMS Project Talk)
Game theory: Repeated games of complete information
Iain MacDonald
Edge-waves on beaches of arbitrary profile
Dr A. Ross Barnett
High-precision values of the real Gamma function
Professor Caroline Series (Forder Lecturer 2003)
Why is there hyperbolic geometry in dynamics?
Professor Caroline Series (Forder Lecturer 2003)
Indra’s pearls
Sivajah Somasundaram
Recent results on weak Asplund spaces
Dr Ian Hawthorn
The Banach-Tarski paradox (2003)
Dr Scott Parkins
Quantum chaos with ultra-cold atoms
Dr Mike Meylan
Application of spectral theory to linear water waves
Murray Black
The Applied Mathematics Department at AUT
Dr Stephen Joe
Construction of good quasi-Monte Carlo rules for functions in weighted spaces
Professor John Brown (Astronomer Royal for Scotland)
Black holes-white rabbits
Dr Anthony Quas
Non-monotonicity in voting systems
Professor Rekha Kulkarni
Iterative computation of eigenelements
David Harder
Geodesic geometry of some static axisymmetric vacuum spacetimes
Professor Robert Bartnik
General relativity and the concept of mass: An introduction
Professor Richard Canfield
Of tilt and twist
Dr Michael Bulmer
Equational reasoning as a tool for data analysis
Dr Jacob Heekikhuisen
Magnetic reconnection with a generalised Ohm's Law
Associate Professor Kevin Broughan
The approximation theorem of Dirichlet (and Kronecker) and its application to the Riemann zeta function
Dr Warren Moors
Baire category theorem in analysis
Dr Rua Murray
Orbit statistics for maps with indifferent fixed points
Professor Marston Conder
Hurwitz groups with arbitrary centres
Dr Alastair Rucklidge
Quasipatterns in the Faraday wave experiment
Dr Ken Louie
Roll me over in the clover-a model for growth of Trifolium repens
Dr Carlo Laing
Pattern formation in neural systems
Professor Ernie Kalnins
Classical and quantum constants of the motion (explicit techniques)
Professor S. Rauch-Wojciechowski
From Jacobi problem of separation of variables to theory of quasi-potential Newton systems
Steven Joyce
Symmetry groups of the four-dimensional polytopes
Dr Tim Stokes
Traversing the spectrum: from surfaces to semigroups
Steven Joyce
Applications of the Baire category theorem to Fourier analysis and the non-differentiability of continuous functions
Mirela Domijan
Applications of fixed point theorems to ordinary differential equations
Dr Frances Kuo
Constructing good lattice rules with millions of points - an overview of recent developments
Gemma Blacklock
Consumer theory
Celia Voysey
Viscous damping of periodic water waves
Professor James Geelen (NZMS Visiting Lecturer)
An algebraic matching algorithm
Professor John Butcher
Numerical methods for ordinary differential equations in the 20th century
Professor John Butcher
Some new methods for stiff and non-stiff problems

Seminars
Recent Seminars

Professor Gary Walsh - Linear recurrence sequences and their connections to cryptography and Diophantine analysis

University of Ottawa, Canada

2006-03-10

G3.33

The theory of linear recurrences has a rich history, and has close connection to more applied topics such as primality testing, integer factorization and public-key cryptography.

In this talk we will discuss these connections, and explore tendencies in the factorization of terms which appear in particular class of such sequences; the so-called Lucas sequences.

We discuss some of the more pertinent results on this topic, some related open problems, and recent progress being made by way of the modularity of elliptic curves.

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