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1st Joint International Meeting between the American Mathematical Society and the New Zealand Mathematical Society
December 12-15, 2007
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan (VUW, co-convener), Matt Miller (South Carolina, co-convener), Jeff Cheeger (Courant/NYU), Rod Downey (VUW), Peter Jones (Yale), Vaughan Jones (UC Berkeley), Gaven Martin (Massey, Albany)

Conference Homepage

Abstracts

Plenary Talks

Marston Conder Chirality
Rod Downey Practical FPT and Foundations of Kernelization
Michael Freedman Physically Motivated Questions in Topology: Manifold Pairings
Bruce Kleiner Bilipschitz Embedding in Banach Spaces
Gaven Martin Curvature and Dynamics
Assaf Naor The Story of the Sparsest Cut Problem
Theodore A Slaman Effective Randomness and Continuous Measures
Matt Visser Emergent Spacetimes, Rainbow Geometries, and Pseudo-Finsler Geometries

General Contributed Talks

R.K. Beatson Preconditioning radial basis function interpolation problems using mean value coordinates
Igor Boglaev Robust Monotone Iterates
Petarpa Boonserm Buchdahl-like transformations in general relativity
Kevin Byard Qualified Residue Difference Sets from Unions of Cyclotomic Classes
Celine Cattoen Cosmography: Extracting the Hubble series from the supernova data
E. F. Cornelius, Jr. Module-Building with Polynomials and Power Series
Gloria Cravo Snapshot-Based Theory: An Interdisciplinary Approach
Nick Depree Mathematical Modelling of an Annealing Furnace
Peter Donelan Genericity of Serial Manipulator Singularities
Driss Drissi On bounded sequences and applications to invariant subspace problem
Harper, J. F. Electrophoresis of gas bubbles
Sun Young Jang C*-algebras like the Toeplitz algebra
Stephen Joe Lattice rules for integration over Rs
Mareli Korostenski Regular Martingales in Riesz Spaces
Jacek Krawczyk A Viability Theory Approach to a Two-Stage Optimal Control Problem
Daniel Lond Külshammer's second problem
Robert McKibbin Modelling turbulent dispersion of pollen in a forest canopy
Alastair McNaughton Loci of zeros in fractional calculus
V.Lakshmana Gomathi Nayagam Fuzzy Translation Invariant Topological Spaces
Andrew Percy Cohomology cross-cap products
Avinesh Prasad A Lyapunov-based Path Planning and Obstacle Avoidance for a Two-link Manipulator on a Wheeled Platform
Irwin Pressman Steiner triples and a solution of the Kirkman school girl problem using matrices with multiple symmetry properties
Agnes Radl Transport processes in networks with scattering ramification nodes
Krishna Sami Raghuwaiya Potential Field Functions for Motion Planning and Posture Control of 3-Trailer Systems
Muni V. Reddy Some recent developments on the structure of lattice rules
Alexey L. Sadovski On Spacial Statistics Models of the Determination of the Geoid
Bibhya Sharma A Navigation and Collision Avoidance Scheme for Heterogeneous Robot Collectives
S. K. Sunanda Generalized Opial type L(p)-Inequalities for Fractional Derivatives
Ratneesh Suri A real options approach to fisheries
Winston L. Sweatman Full ionisation in binary-binary encounters at high velocity
Bill Taylor A note on strategies for win/loss symmetric games.
Michael Tuite Vertex Operator Algebras on Genus Two Riemann Surfaces
Neil Watson Recent progress on the heat equation
ChungChun Yang On entire solutions of certain type of nonlinear differential equations
Yuncheng You Regularity Asymptotics of Vorticity for the 2D Navier-Stokes Equation

Computability Theory

George Barmpalias Relative randomness and cardinality
Paul Brodhead Continuity of capping in EbT
Cristian S. Calude Representation of Computably Enumerable e-Random Reals
Chi Tat Chong A P11 uniformization principle for reals
Barbara F. Csima Linear Orders with Distinguished Function Symbol
Qi Feng Solovay pairs and supercompacteness
Johanna Franklin Truth table reducibility and Schnorr triviality
Noam Greenberg Working above totally omega-c.e. degrees using strong reducibilities
Denis R. Hirschfeldt Atomic Models and Genericity
Carl G. Jockusch, Jr. Chains and antichains in (weakly) stable posets
Bakhadyr Khoussainov Kolmogorov Complexity, Computable Categoricity, and Frasse Limits
Bjørn Kjos-Hanssen Infinite subsets of random sets of integers
Antonio Montalban On the Back-and-Forth relation on Boolean Algebras
Ng, Keng Meng Strong Jump Traceability and Beyond
Andre Nies Borel presentable structures
Jan Reimann Effective Capacitability and Dimension of Measures
Ludwig Staiger On Universal Computably Enumerable Prefix Codes
Frank Stephan Sets of nonrandom numbers
Hugh Woodin Definable Determinacy and Second Order Number Theory
Guohua Wu On the complexity of the successivity relation in computable linear orderings

Dynamical Systems and Ergodic Theory

Boris Baeumer Brownian Subordinators And Fractional Cauchy Problems
Mathias Beiglböck Ramsey theory from a dynamical viewpoint
Arno Berger Uniform attraction and growth in nonautonomous dynamical systems
Keith Burns Typical partially hyperbolic diffeomorphisms with one dimensional center are accessible
Dmitry Dolgopyat Galton board
Anthony Dooley The AT property is not preserved by finite extensions
Gary Froyland Phase transitions and equilibrium states
Wenzhi Luo Equidistribution of closed geodesics on the modular surface
Ian Melbourne Decay of correlations for Lorentz gases
Rua Murray Ulam's method for invariant measures with an indifferent fixed point
Matthew Nicol Extreme value statistics for non-uniformly hyperbolic systems
Anthony Quas Distances in positive density sets
Luchezar Stoyanov Spectra of Ruelle transfer operators for contact flows on basic sets
Martin Wechselberger Canard induced mixed-mode oscillations
Alistair Windsor Tilings and Gallai's Theorem
Reinhard Winkler For a topologist, typical sequences are extremely irregular
Ilze Ziedins Nonmonotonicity of phase transitions in a tree loss network

Group Theory, Actions and Computation

Russell Blyth Nonabelian tensor squares of free nilpotent groups of finite rank
Ruth Charney Partially symmetric automorphisms of free groups
Marston Conder Short presentations for the alternating and symmetric groups
Antonio Breda d'Azevedo Bicontactual rotary hypermaps
Benjamin Fine On Some Finiteness Properties in Infinite Groups
Michael A. Jackson The strong symmetric genus and generalized symmetric groups: results and a conjecuture
Gareth Jones Total chirality of maps and hypermaps on Riemann surfaces
Jin Ho Kwak Enumerating chiral maps on surfaces with a given underlying graph
Arturo Magidin Capable groups of class two and prime exponent
Tomaž Pisanski A census of edge-transitive tessellations
Gerhard Rosenberger The Tits alternative for sherical generalized tetrahedron groups
Gunter Steinke Old and new on the universal covering group of SL(2, R).

History and Philosophy of Mathematics

Douglas Bridges Constructive Reverse Mathematics
Bruce Burdick Mathematical Problems from the Maine Farmer's Almanac
Philip Catton Elegance and insight: what is the link?
Lawrence D'Antonio Leonard Euler and the dastardly John Robison
Hannes Diener The dark side of constructive reverse mathematics
Hardy Grant Episodes from the career of the Riemann Hypothesis
John Hannah Limits of solvability: unsolvable problems in Fibonacci's Liber Abbaci
Iris Loeb Indecomposability of the Continuum in Constructive Reverse Mathematics
Clemency Montelle Hypsicles of Alexandria and Arithmetical Sequences
Kim Plofker Mathematics and observation in Indian astronomical parameters
Bronwyn Rideout Probability in Ancient Greek: Moving Beyond the Traditional Narrative
Jim Tattersall Mathematical Contributions to The Educational Times from Australia and New Zealand
Paul R Wolfson Algebraic invariant theory and characteristic classes

Hopf Algebras and Quantum Groups

Aaron Armour The Geometric Classification of Four Dimensional Superalgebras
Stefaan Caenepeel A structure theorem for relative Hopf bimodules with applications to Morita equivalences
Juan Cuadra The Hopf-Schur subgroup
Miodrag C Iovanov (Co)Representation theoretic approach to fundamental results in Hopf algebras
Yevgenia Kashina Classifying Semisimple Hopf Algebras of dimension 2n.
Akira Masuoka On cocycle deformations of pointed Hopf algebras with abelian grouplikes
Susan Montgomery Frobenius-Schur indicators for Hopf algebras
Siu-Hung Ng On the classification of Hopf algebras of dimension pq
Fred Van Oystaeyen On Crystalline Graded Rings
David E. Radford On the representations of pointed Hopf algebras
Yorck Sommerhäuser Hopf Algebras and Congruence Subgroups
Blas Torrecillas The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras

Infinite-Dimensional Groups and their Actions

Christopher Atkin Isometries of infinite-dimensional Riemannian manifolds
Anthony Dooley Costs of equivalence relations and group actions
Inessa Epstein Orbit inequivalent actions of non-amenable groups
Stefano Ferri Groups acting on Banach spaces
Hendrik Grundling On group algebras for non-locally compact groups
Sidney A. Morris The Structure of Connected Pro-Lie Groups
Vladimir Pestov A footnote to the property (FH)
Christian Rosendal Generic representations of finitely generated groups.
Lionel Nguyen Van Thé Oscillation stability for topological groups and Ramsey theory.
Todor Tsankov Full Groups of Equivalence Relations
Yevhen Zelenyuk On finite groups in Stone-Cech compactifications

Integrability of Continuous and Discrete Evolution Systems

Partha Guha Quasi-Hamiltonian Structure, Hojman Construction and Integrable Systems
Willy Hereman Symbolic Computation of Conservation Laws of Nonlinear PDEs in (n+1)-dimensions
Mark Hickman Leading Order Integrability Conditions for Differential-Difference Equations
Ernie Kalnins Integrability and Separation of Variables
Gerrard Liddell American Barriers
Reinout Quispel Discrete Integrable Systems

Dynamics and Control of Systems: Theory and Applications to Biomedicine

Alona Ben-Tal Modelling Cheyne-Stokes Respiration and other aspects of the control of respiration
Robert Donnelly Cellular Automata Model of Radiation Therapy in Cervical Cancer
Wen Duan Mathematical Modeling of GnRH neurons in the Rat Brain
Krzysztof Fujarewicz Optimal sampling for identification of models of cell signaling pathways
Scott Graybill TGF - A Renal Feedback Mechanism
Emily Harvey Complex oscillations in mathematical models of calcium dynamics
Peter Hinow A Mathematical Model Quantifies Proliferation and Motility Effects of TGF-b on Cancer Cells
Matthias Kawski Chronological calculus and nonlinear feedback loops
Carlo Laing Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities
Urszula Ledzewicz Optimal and Suboptimal Protocols for a Class of Mathematical Models of Tumor Growth under Angiogenic Inhibitors
Dann Mallet A Hybrid CA-PDE Model of Chlamydia Trachomatis Infection in the Female Genital Tract
Helmut Maurer Optimal multi-drug control of the innate immune response with time delays
Annette Molinaro Piecewise Constant Estimation Algorithms for Predicting Clinical Outcomes: Applications in Genomic Data
L.G. de Pillis A Mathematical Model of B Cell Chronic Lymphocytic Leukemia
Michael Plank Levy random walks in ecology: fact or fiction?
Ami Radunskaya A delayed-differential model of the immune response: optimization and analysis.
Heinz Schättler Minimizing the Tumor Size in Mathematical Models for Novel Cancer Treatments
James Sneyd Calcium and Ducks
Andrzej Swierniak Evolution of repeats in microsatellite DNA and emergency of genetic disorders
Michal Swierniak SVD based analysis of DNA microarray data
Graeme Wake Modelling of Cancer Treatment
Inga Wang A mathematical model of airway and pulmonary arteriole smooth muscle.
Phil Wilson The lipid bilayer at the mesoscale: a physical continuum model

Matroids, Graphs, and Complexity

Thomas Britz Matroids applied to coding theory
Maria Chudnovsky Even pairs in Berge graphs
Carolyn Chun Unavoidable Minors of Loosely c-Connected Infinite Graphs
Henry Crapo Simplicial Maps, and the Generic Rigidity Matroid
Jim Geelen Binary matroid minors
Isidoro Gitler Some Links Between Combinatorial Optimization Properties of Clutters and Algebraic Properties of Monomial Ideals
Gary Gordon Automorphisms of matroids associated with root systems
Rhiannon Hall Chain-type and splitter-type theorems for cocircuits and hyperplanes in 3-connected matroids
Petr Hlineny Finding Branch-decompositions and Rank-decompositions
Peter Humphries A basis exchange property for matroids
Joseph P. Kung The Tutte polynomial turned upside down
Charles Little Minimal non-bipartite join covered graphs
Dillon Mayhew The excluded minors for the class of matroids that are either binary or ternary.
Gordon Royle Binary matroids with no K3, 3 minor
Paul Seymour Forcing a K2, t minor

New Trends in Spectral Analysis and PDE

Sergei Avdonin Control and inverse problems for partial differential equations on graphs
Boris P Belinskiy Stochastic wave equation driven by a fractional Brownian motion
Anjan Biswas Quasi-stationary solitons for Langmuir waves in plasmas
Jochen Brüning The equivariant index theorem for Dirac operators
Annalisa Calini Cable Formation for Finite-Gap Solutions of the Vortex Filament Flow
William Desmond Evans Inequalities of Hardy-Sobolev and Hardy-Gagliardo-Nirenberg type
Colin Fox Semi-analytic spectral methods
Florina Halasan Absolutely Continuous Spectrum for the Anderson Model on More General Trees
Yulia Karpeshina Quasi-intersections of Isoenergetic Surfaces: Description in Terms of Determinants.
Felipe Leitner On unitary conformal holonomy
Roger T Lewis Hardy and Rellich Inequalities with Remainders
Stephen McDowall Optical tomography in media with varying index of refraction.
Boris Pavlov An ill-posed problem in scattering theory
Georgi Raikov Spectral properties of a magnetic quantum Hamiltonian on a strip
Gunter Stolz Bubbles tend to the boundary
Graeme Wake Spectral properties of non-local eigenvalue problems
David Wall The mathematics of Imaging in Magnetic Resonance Elastography

Quantum Topology

Michael Freedman Continuation of plenary talk: Manifold pairings.
David Gauld Foliations and non-metrisable manifolds
Andrew Kricker Covering spaces and the Kontsevich integral.
Scott Morrison Lasagna composition of Khovanov link homologies, and a 4-d skein module.
Noah Snyder The Ribbon Half-Twist
Christopher Tuffley Generalised knot groups
Shona Yu The Cyclotomic Birman-Murakami-Wenzl Algebras

Special Functions and Orthogonal Polynomials

Richard Askey The first addition formula and some of what came later
Walter Van Assche Multiple Hermite polynomials and some applications
Ross Barnett High-Precision Values of the Gamma Function of real argument
Bruce C. Berndt Modified Bessel functions in Ramanujan's lost notebook
Kevin A Broughan The vanishing of the integral of the Hurwitz zeta function
Song Heng Chan Congruences for Andrews-Paule's broken 2-diamond partition function.
Edmund Y. M. Chiang On The Nevanlinna Order Of Lommel Functions And Subnormal Solutions Of Certain Complex Differential Equations
Wenchang Chu Abel's Lemma on Summation by Parts and Theta Hyeprgeometric Series
Howard S. Cohl Fourier Expansions of the Fundamental Solution for Powers of the Laplacian in Rn
Diego Dominici Asymptotic analysis of the Bell polynomials by the ray method
Tom ter Elst Does diffusion determine the drum?
Michael Hirschhorn Some conjectures of Melham concerning representations by figurate numbers.
Mourad . H. Ismail Addition Theorems Via Continued Fractions
Ernie Kalnins Orthogonal polynomials and associated algebras.
Andrea Laforgia The zeros of the complementary error function
Heung Yeung Lam Sixteen Eisenstein Series
A. Sri Ranga Asymptotics for Gegenbauer-Sobolev and Hermite-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
Michael Schlosser Macdonald polynomials in the light of basic hypergeometric series
Dennis Stanton Finite fields and (q, t)-binomials
Garry J. Tee Permutable Polynomials and Rational Functions
Pee Choon Toh Representations of certain binary quadratic forms as Lambert series
Shayne Waldron Tight frames of multivariate orthogonal polynomials
Ole Warnaar The Mukhin-Varchenko conjecture
N J Wildberger Spread Polynomials
Nicholas Witte Semi-classical orthogonal polynomials and the Painlevé-Garnier systems

University Mathematics Education

Bill Barton Revisiting Felix Klein's "Elementary Mathematics from an Advanced Standpoint"
Patricia Cretchley Readiness for first-year mathematics studies: Management, placement and prognosis
David Easdown Teaching proofs in mathematics
Derek Holton Where have all the mathematicians gone?
Alex James From lessons to lectures: NCEA mathematics and first year performance
Matthias Kawski Interactive visualization in advanced university mathematics
William McCallum Secondary Mathematics from an Advanced Standpoint
G. Arthur Mihram Three Attributes of Tertiary-level Mathematical Education to One's Society and its Advancement of Science
Mark Nelson Online learning resources for engineering students: Do they work?
Tim Passmore A Flexible, Extensible Online Testing System for Mathematics

Water-Wave Scattering Focusing on Wave-Ice Interactions

Luke Bennetts Wave scattering by a periodic line array of axisymmetric ice floes
Alison Kohout An Elastic Plate Model for Wave Scattering in the Marginal Ice Zone
Michael Meylan Simulation of near-trapping time-dependent water wave problem.
Malte A. Peter Time-dependent water waves incident on a vertical elastic plate
Gareth L. Vaughan Scattering and damping of ice coupled waves

Geometric Numerical Integration

John Butcher G-symplectic general linear methods
Yousaf Habib Symplectic Methods with Transformations
Allison Heard Stability of Numerical Solvers for Ordinary Differential Equations
Laurent O. Jay Butcher trees and curve search in nonlinear optimization
Melvin Leok Homogeneous Variational Integrators for Lagrangian Dynamics on Two-Spheres
Robert McLachlan Achieving Brouwer's law of round-off error
Klas Modin On explicit adaptive symplectic integration of separable Hamiltonian systems
Dion O'Neale Geometric integration, high oscillation and resonance.
Reinout Quispel Geometric Integration of Ordinary Differential Equations
Gustaf Söderlind Adaptive Geometric Integration: Structural Aspects of Reversible Step Size Control
Mayya Tokman Evaluating Performance of Exponential Integrators.
Will Wright The efficient evaluation of functions related to the matrix exponential
Philip Zhang Dynamics and Numerics of some generalised Euler equations


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