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	Dr Pedram Hekmati Lecturer in Pure Mathematics, DECRA Fellow Differential geometry Index theory and noncommutative geometry Mathematical physics Mathematics of string theory Lie theory More about Pedram Hekmati...

	Associate Professor Zudi Lu Associate Professor in Statistics and ARC Future Fellow Non-parametric/semi-parametric smoothing/algorithm and statistical learning Temporal / spatial risk modeling in environmental finance and insurance Statistical inference of nonlinear spatial/temporal econometric modeling Applied statistics /biostatistics (MCMC, survival / missing data, mixture modeling) Nonlinear financial time series econometrics / financial mathematics More about Zudi Lu...

	Professor Michael Murray Chair of Pure Mathematics Differential geometry Gauge theory Mathematical physics Mathematics of string theory More about Michael Murray...

	Dr Yvonne Stokes Senior Lecturer in Applied Mathematics Viscous fluid mechanics Computational fluid dynamics Mathematical biology Industrial mathematics More about Yvonne Stokes...

	Professor Mathai Varghese Professor in Pure Mathematics, DORA Fellow, Fellow of the Australian Academy of Science Differential geometry Index theory and noncommutative geometry Mathematical physics Mathematics of string theory More about Mathai Varghese...

Courses matching "Nanotechnology: The mathematics of gas storage in "

	Computational Mathematics III In exploring large scale, complex systems, physicists, engineers, financiers and mathematicians often formulate problems as partial differential equations or many coupled ordinary differential equations. Only rarely can these mathematical models be solved algebraically. Instead computational mathematics derives approximate models that form the basis of computer predictions. Such models predict the climate, the weather, option prices, industrial processes, engineering devices, blood flow, epidemiology and more. This course develops sound stable computational methods for exploring large-scale systems. Topics covered are: the numerical solution and stability of ordinary differential equations, using explicit and implicit methods; finite-difference and spectral methods applied to boundary value problems and certain partial differential equations, including Laplace's equation, the heat equation and the wave equation; stability analysis of these schemes; modern Krylov and multigrid methods are used to solve large systems of linear equations such as those that arise from finite-difference schemes; continuation methods. More about this course...

	Engineering Mathematics IIA Mathematical models are used to understand, predict and optimise engineering systems. Many of these systems are deterministic and are modelled using differential equations. Others are random in nature and are analysed using probability theory and statistics. This course provides an introduction to differential equations and their solutions and to probability and statistics, and relates the theory to physical systems and simple real world applications. Topics covered are: Ordinary differential equations, including first and second order equations and series solutions; Fourier series; partial differential equations, including the heat equation, the wave equation, Laplace's equation and separation of variables; probability and statistical methods, including sampling and probability, descriptive statistics, random variables and probability distributions, mean and variance, linear combinations of random variables, statistical inference for means and proportions and linear regression. More about this course...

	Engineering Mathematics IIB This course provides an introduction to vector analysis and complex calculus, which is relevant to physics and engineering problems in two or more dimensions, such as solid and fluid mechanics, electromagnetism and thermodynamics. The course also introduces Laplace transform methods for solving differential equations, which have application to engineering problems such as circuit analysis and control. Topics covered are: Vector calculus: vector fields; gradient, divergence and curl; line, surface and volume integrals; integral theorems of Green, Gauss and Stokes with applications; orthogonal curvilinear coordinates. Complex analysis: elementary functions of a complex variable; complex differentiation; complex contour integrals; Laurent series; residue theorem. Laplace transforms: transforms of derivatives and integrals; shifting theorems; convolution; applications to differential equations. More about this course...

	Introduction to Financial Mathematics I Algebra: Matrices and linear equations. Optimisation problems: solutions by graphical and algebraic methods. Functions and Annuities: linear, quadratic, exponential and logarithmic functions; simple and compound interest, annuities and amortization of loans. Continuous rates of change and the derivative. More about this course...

	Mathematics for Information Technology I This course provides an introduction to a number of areas of discrete mathematics with wide applicability. Areas of application include: computer logic, analysis of algorithms, telecommunications, gambling and public key cryptography. In addition it introduces a number of fundamental concepts which are useful in Statistics, Computer Science and further studies in Mathematics. Topics covered are: Discrete mathematics: sets, relations, logic, graphs, mathematical induction and difference equations; probability and permutations and combinations; information security and encryption: prime numbers, congruences. More about this course...

	Mathematics IA This course together with MATHS 1012 Mathematics IB, provides an introduction to the basic mathematical concepts and techniques of calculus, linear algebra and probability, emphasising their inter-relationships and applications to the financial area; introduces students to the use of computers in mathematics; and develops problem solving skills with both theoretical and practical problems. Topics covered are: Calculus:functions of one variable, differentiation, the definite integral, and techniques of integration. Algebra: Linear equations, matrices, the real vector space determinants, optimisation, eigenvalues and eigenvectors; applications of linear algebra. More about this course...

	Mathematics IB This course, together with MATHS 1011 Mathematics IA, provides an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to engineering, the sciences and financial areas; introduces students to the use of computers in mathematics; and develops problem solving skills with both theoretical and practical problems. Topics covered are: Calculus: Applications of the derivative; functions of two variables; Taylor series; differential equations. Algebra: The real vector space, eigenvalues and eigenvectors, linear transformations and applications of linear algebra. More about this course...

	Mathematics IM This course provides the necessary additional mathematics to prepare students for MATHS 1011 Mathematics IA. The course contains an introduction to basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to the sciences and financial areas; introduces students to the use of computers in mathematics; and develops problem solving skills with a particular emphasis on applications. Topics covered are: Calculus: differential calculus with applications; an introduction to differential equations; Algebra: complex numbers; vectors, linear equations and matrices; applications of linear algebra. More about this course...

Events matching "Nanotechnology: The mathematics of gas storage in "

	Making tertiary mathematics more interesting 15:10 Fri 24 Mar 06 :: G08 Mathematics Building University of Adelaide :: Prof. Emeritus Neville de Mestre, Faculty of Information Technology, Bond University Abstract... For the past few decades, calculus and linear algebra have provided the basis for many university courses in mathematics, science or engineering. However there are other courses, which could be given to motivate the students, particularly those with only a passing love of mathematics. One possible course could show the essential features of how mathematicians solve problems using many different analytical, cerebral and computer skills. In this seminar I will describe such a one-semester course (2 lectures, 2 labs each week), which includes hands-on problem solving and students eventually creating their own problems. One or two exciting problems at first-year level will be developed in detail.

	Inconsistent Mathematics 15:10 Fri 28 Apr 06 :: G08 Mathematics Building University of Adelaide :: Prof. Chris Mortensen Abstract... The Theory of Inconsistency arose historically from a number of sources, such as the semantic paradoxes including The Liar and the set-theoretic paradoxes including Russell's. But these sources are rather too closely connected with Foundationalism: the view that mathematics has a foundation such as logic or set theory or category theory etc. It soon became apparent that inconsistent mathematical structures are of interest in their own right and do not depend on the existence of foundations. This paper will survey some of the results in inconsistent mathematics and discuss the bearing on various philosophical positions including Platonism, Logicism, Hilbert's Formalism, and Brouwer's Intuitionism.

	Homological algebra and applications - a historical survey 15:10 Fri 19 May 06 :: G08 Mathematics Building University of Adelaide :: Prof. Amnon Neeman Abstract... Homological algebra is a curious branch of mathematics; it is a powerful tool which has been used in many diverse places, without any clear understanding why it should be so useful. We will give a list of applications, proceeding chronologically: first to topology, then to complex analysis, then to algebraic geometry, then to commutative algebra and finally (if we have time) to non-commutative algebra. At the end of the talk I hope to be able to say something about the part of homological algebra on which I have worked, and its applications. That part is derived categories.

	Maths and Movie Making 15:10 Fri 13 Oct 06 :: G08 Mathematics Building University of Adelaide :: Dr Michael Anderson Abstract... Mathematics underlies many of the techniques used in modern movie making. This talk will sketch out the movie visual effects pipeline, discussing how mathematics is used in the various stages and detailing some of the mathematical areas that are still being actively researched. The talk will finish with an overview of the type of work the speaker is involved in, the steps that led him there and the opportunities for mathematicians in this new and exciting area.

	Modelling gene networks: the case of the quorum sensing network in bacteria. 15:10 Fri 1 Jun 07 :: G08 Mathematics Building University of Adelaide :: Dr Adrian Koerber Abstract... The quorum sensing regulatory gene-network is employed by bacteria to provide a measure of their population-density and switch their behaviour accordingly. I will present an overview of quorum sensing in bacteria together with some of the modelling approaches I\'ve taken to describe this system. I will also discuss how this system relates to virulence and medical treatment, and the insights gained from the mathematics.

	Div, grad, curl, and all that 15:10 Fri 10 Aug 07 :: G08 Mathematics Building University of Adelaide :: Prof. Mike Eastwood :: School of Mathematical Sciences, University of Adelaide Abstract... These well-known differential operators are, of course, important in applied mathematics. This is just the tip of an iceberg. I shall indicate some of what lies beneath the surface. There are links with topology, physics, symmetry groups, finite element schemes, and more besides. This talk will touch on these different topics by means of examples. Little prior knowledge will be assumed beyond the equality of mixed partial derivatives.

	Riemann's Hypothesis 15:10 Fri 31 Aug 07 :: G08 Mathematics building University of Adelaide :: Emeritus Prof. E. O. Tuck Abstract... Riemann's hypothesis (that all non-trivial zeros of the zeta function have real part one-half) is the most famous currently unproved conjecture in mathematics, and a \\$1M prize awaits its proof. The mathematical statement of this problem is only at about second-year undergraduate level; after all, the zeta function is much like the trigonometric sine function, and all (?) second-year students know that all zeros of the sine function are (real) integer multiples of $\\pi$. Many of the steps apparently needed to make progress on the proof are also not much more complicated than that level. Some of these elementary steps, together with numerical explorations, will be described here. Nevertheless the Riemann hypothesis has defied proof so far, and very complicated and advanced abstract mathematics (that will NOT be described here) is often brought to bear on it. Does it need abstract mathematics, or just a flash of elementary inspiration?

	Regression: a backwards step? 13:10 Fri 7 Sep 07 :: Maths G08 :: Dr Gary Glonek Media... Abstract... Most students of high school mathematics will have encountered the technique of fitting a line to data by least squares. Those who have taken a university statistics course will also have heard this method referred to as regression. However, it is not obvious from common dictionary definitions why this should be the case. For example, "reversion to an earlier or less advanced state or form". In this talk, the mathematical phenomenon that gave regression its name will be explained and will be shown to have implications in some unexpected contexts.

	Groundwater: using mathematics to solve our water crisis 13:10 Wed 9 Apr 08 :: Napier 210 :: Dr Michael Teubner Abstract... 'The driest state in the driest continent' is how South Australia used to be described. And that was before the drought! Now we have severe water restrictions, dead lawns, and dying gardens. But this need not be the case. Mathematics to the rescue! Groundwater exists below much of the Adelaide metro area. We can store winter stormwater in the ground and use it when we need it in summer. But we need mathematical models to understand where groundwater exists, where we can inject stormwater and how much can be stored, and where we can extract it: all through mathematical models. Come along and see that we don't have a water problem, we have a water management problem.

	The Mathematics of String Theory 15:10 Fri 2 May 08 :: LG29 Napier Building University of Adelaide :: Prof. Peter Bouwknegt :: Department of Mathematics, ANU Abstract... String Theory has had, and continues to have, a profound impact on many areas of mathematics and vice versa. In this talk I want to address some relatively recent developments. In particular I will argue, following Witten and others, that D-brane charges take values in the K-theory of spacetime, rather than in integral cohomology as one might have expected. I will also explore the mathematical consequences of a particular symmetry, called T-duality, in this context. I will give an intuitive introduction into D-branes and K-theory. No prior knowledge about either String Theory, D-branes or K-theory is required.

	Puzzle-based learning: Introduction to mathematics 15:10 Fri 23 May 08 :: LG29 Napier Building University of Adelaide :: Prof. Zbigniew Michalewicz :: School of Computer Science, University of Adelaide Media... Abstract... The talk addresses a gap in the educational curriculum for 1st year students by proposing a new course that aims at getting students to think about how to frame and solve unstructured problems. The idea is to increase the student's mathematical awareness and problem-solving skills by discussing a variety of puzzles. The talk makes an argument that this approach - called Puzzle-Based Learning - is very beneficial for introducing mathematics, critical thinking, and problem-solving skills. The new course has been approved by the University of Adelaide for Faculty of Engineering, Computer Science, and Mathematics. Many other universities are in the process of introducing such a course. The course will be offered in two versions: (a) full-semester course and (b) a unit within general course (e.g. Introduction to Engineering). All teaching materials (power point slides, assignments, etc.) are being prepared. The new textbook (Puzzle-Based Learning: Introduction to Critical Thinking, Mathematics, and Problem Solving) will be available from June 2008. The talk provides additional information on this development. For further information see http://www.PuzzleBasedlearning.edu.au/

	Betti's Reciprocal Theorem for Inclusion and Contact Problems 15:10 Fri 1 Aug 08 :: G03 Napier Building University of Adelaide :: Prof. Patrick Selvadurai :: Department of Civil Engineering and Applied Mechanics, McGill University Abstract... Enrico Betti (1823-1892) is recognized in the mathematics community for his pioneering contributions to topology. An equally important contribution is his formulation of the reciprocity theorem applicable to elastic bodies that satisfy the classical equations of linear elasticity. Although James Clerk Maxwell (1831-1879) proposed a law of reciprocal displacements and rotations in 1864, the contribution of Betti is acknowledged for its underlying formal mathematical basis and generality. The purpose of this lecture is to illustrate how Betti's reciprocal theorem can be used to full advantage to develop compact analytical results for certain contact and inclusion problems in the classical theory of elasticity. Inclusion problems are encountered in number of areas in applied mechanics ranging from composite materials to geomechanics. In composite materials, the inclusion represents an inhomogeneity that is introduced to increase either the strength or the deformability characteristics of resulting material. In geomechanics, the inclusion represents a constructed material region, such as a ground anchor, that is introduced to provide load transfer from structural systems. Similarly, contact problems have applications to the modelling of the behaviour of indentors used in materials testing to the study of foundations used to distribute loads transmitted from structures. In the study of conventional problems the inclusions and the contact regions are directly loaded and this makes their analysis quite straightforward. When the interaction is induced by loads that are placed exterior to the indentor or inclusion, the direct analysis of the problem becomes inordinately complicated both in terns of formulation of the integral equations and their numerical solution. It is shown by a set of selected examples that the application of Betti's reciprocal theorem leads to the development of exact closed form solutions to what would otherwise be approximate solutions achievable only through the numerical solution of a set of coupled integral equations.

	Something cool about primes 13:10 Wed 13 Aug 08 :: Napier 210 :: Mr David Butler Abstract... So far this year in the undergraduate seminars, we have seen how mathematics is useful for solving important problems, and how mathematics can be used to uncover profound truths. In this seminar I will show you something about prime numbers that is neither useful nor profound. I just think it is extremely cool.

	Unsolvable problems in mathematics 15:10 Fri 3 Jul 09 :: Badger Labs G13 Macbeth Lecture Theatre :: Prof Greg Hjorth :: University of Melbourne Abstract... In the 1900 International Congress of Mathematicians David Hilbert proposed a list of 23 landmark mathematical problems. The first of these problems was shown by Paul Cohen in 1963 to be undecidable—which is to say, in informal language, that it was in principle completely unsolvable. The tenth problem was shown by Yuri Matiyasevich to be unsolvable in 1970. These developments would very likely have been profoundly surprising, perhaps even disturbing, to Hilbert. I want to review some of the general history of unsolvable problems. As much as reasonably possible in the time allowed, I hope to give the audience a sense of why the appearance of unsolvable problems in mathematics was inevitable, and perhaps even desirable.

	From linear algebra to knot theory 15:10 Fri 21 Aug 09 :: Badger Labs G13 Macbeth Lecture Theatre :: Prof Ross Street :: Macquarie University, Sydney Abstract... Vector spaces and linear functions form our paradigmatic monoidal category. The concepts underpinning linear algebra admit definitions, operations and constructions with analogues in many other parts of mathematics. We shall see how to generalize much of linear algebra to the context of monoidal categories. Traditional examples of such categories are obtained by replacing vector spaces by linear representations of a given compact group or by sheaves of vector spaces. More recent examples come from low-dimensional topology, in particular, from knot theory where the linear functions are replaced by braids or tangles. These geometric monoidal categories are often free in an appropriate sense, a fact that can be used to obtain algebraic invariants for manifolds.

	The Monster 12:10 Thu 10 Sep 09 :: Napier 210 :: Dr David Parrott :: University of Adelaide Media... Abstract... The simple groups are the building blocks of all finite groups. The classification of finite simple groups is a towering achievement of 20th century mathematics. In addition to 18 infinite families of finite simple groups, there are 26 sporadic groups. The biggest sporadic group, dubbed The Monster, has about 10^54 elements. The talk will give a glimpse of this deep area of mathematics.

	The proof of the Poincare conjecture 15:10 Fri 25 Sep 09 :: Napier 102 :: Prof Terrence Tao :: UCLA Abstract... In a series of three papers from 2002-2003, Grigori Perelman gave a spectacular proof of the Poincare Conjecture (every smooth compact simply connected three-dimensional manifold is topologically isomorphic to a sphere), one of the most famous open problems in mathematics (and one of the seven Clay Millennium Prize Problems worth a million dollars each), by developing several new groundbreaking advances in Hamilton's theory of Ricci flow on manifolds. In this talk I describe in broad detail how the proof proceeds, and briefly discuss some of the key turning points in the argument. About the speaker: Terence Tao was born in Adelaide, Australia, in 1975. He has been a professor of mathematics at UCLA since 1999, having completed his PhD under Elias Stein at Princeton in 1996. Tao's areas of research include harmonic analysis, PDE, combinatorics, and number theory. He has received a number of awards, including the Salem Prize in 2000, the Bochner Prize in 2002, the Fields Medal and SASTRA Ramanujan Prize in 2006, and the MacArthur Fellowship and Ostrowski Prize in 2007. Terence Tao also currently holds the James and Carol Collins chair in mathematics at UCLA, and is a Fellow of the Royal Society and the Australian Academy of Sciences (Corresponding Member).

	Buildings 15:10 Fri 9 Oct 09 :: MacBeth Lecture Theatre :: Prof Guyan Robertson :: University of Newcastle, UK Abstract... Buildings were created by J. Tits in order to give a systematic geometric interpretation of simple Lie groups (and of simple algebraic groups). Buildings have since found applications in many areas of mathematics. This talk will give an informal introduction to these beautiful objects.

	Is the price really right? 12:10 Thu 22 Oct 09 :: Napier 210 :: Mr Sam Cohen :: University of Adelaide Media... Abstract... Making decisions when outcomes are uncertain is a common problem we all face. In this talk I will outline some recent developments on this question from the mathematics of finance-the theory of risk measures and nonlinear expectations. I will also talk about how decisions are currently made in the finance industry, and how some simple mathematics can show where these systems are open to abuse.

	Finite and infinite words in number theory 15:10 Fri 12 Feb 10 :: Napier LG28 :: Dr Amy Glen :: Murdoch University Abstract... A 'word' is a finite or infinite sequence of symbols (called 'letters') taken from a finite non-empty set (called an 'alphabet'). In mathematics, words naturally arise when one wants to represent elements from some set (e.g., integers, real numbers, p-adic numbers, etc.) in a systematic way. For instance, expansions in integer bases (such as binary and decimal expansions) or continued fraction expansions allow us to associate with every real number a unique finite or infinite sequence of digits. In this talk, I will discuss some old and new results in Combinatorics on Words and their applications to problems in Number Theory. In particular, by transforming inequalities between real numbers into (lexicographic) inequalities between infinite words representing their binary expansions, I will show how combinatorial properties of words can be used to completely describe the minimal intervals containing all fractional parts {x*2^n}, for some positive real number x, and for all non-negative integers n. This is joint work with Jean-Paul Allouche (Universite Paris-Sud, France).

	The exceptional Lie group G_2 and rolling balls 15:10 Fri 19 Feb 10 :: Napier LG28 :: Prof Pawel Nurowski :: University of Warsaw Abstract... In this talk, after a brief history of how the exceptional Lie group G_2 was discovered, I present various appearances of this group in mathematics. Its physical realisation as a symmetry group of a simple mechanical system will also be discussed.

	Some unusual uses of usual symmetries and some usual uses of unusual symmetries 12:10 Wed 10 Mar 10 :: School board room :: Prof Phil Broadbridge :: La Trobe University Abstract... Ever since Sophus Lie around 1880, continuous groups of invariance transformations have been used to reduce variables and to construct special solutions of PDEs. I will outline the general ideas, then show some variations on the usual reduction algorithm that I have used to solve some practical nonlinear boundary value problems. Applications include soil-water flow, metal surface evolution and population genetics.

	Exploratory experimentation and computation 15:10 Fri 16 Apr 10 :: Napier LG29 :: Prof Jonathan Borwein :: University of Newcastle Media... Abstract... The mathematical research community is facing a great challenge to re-evaluate the role of proof in light of the growing power of current computer systems, of modern mathematical computing packages, and of the growing capacity to data-mine on the Internet. Add to that the enormous complexity of many modern capstone results such as the Poincare conjecture, Fermat's last theorem, and the Classification of finite simple groups. As the need and prospects for inductive mathematics blossom, the requirement to ensure the role of proof is properly founded remains undiminished. I shall look at the philosophical context with examples and then offer some of five bench-marking examples of the opportunities and challenges we face.

	"The Emperor's New Mind": computers, minds, physics and biology 11:10 Wed 21 Apr 10 :: Napier 210 :: Prof Tony Roberts :: University of Adelaide Media... Abstract... In the mid-1990s the computer 'Deep Blue' beat Kasparov, the world chess champion. Will computers soon overtake us humans in other endeavours of intelligence? Roger Penrose's thesis is that human intelligence is far more subtle than has previously been imagined, that the quest for human-like artificial intelligence in computers, the holy grail of artificial intelligence, is hopeless. The argument ranges from icily clear mathematics of computation, through the amazing shadows of quantum physics, and thence to new conjectures in biology.

	Spot the difference: how to tell when two things are the same (and when they're not!) 13:10 Wed 19 May 10 :: Napier 210 :: Dr Raymond Vozzo :: University of Adelaide Media... Abstract... High on a mathematician's to-do list is classifying objects and structures that arise in mathematics. We see patterns in things and want to know what other sorts of things behave similarly. This poses several problems. How can you tell when two seemingly different mathematical objects are the same? Can you even tell when two seemingly similar mathematical objects are the same? In fact, what does "the same" even mean? How can you tell if two things are the same when you can't even see them! In this talk, we will take a walk through some areas of maths known as algebraic topology and category theory and I will show you some of the ways mathematicians have devised to tell when two things are "the same".

	The mathematics of theoretical inference in cognitive psychology 15:10 Fri 11 Jun 10 :: Napier LG24 :: Prof John Dunn :: University of Adelaide Abstract... The aim of psychology in general, and of cognitive psychology in particular, is to construct theoretical accounts of mental processes based on observed changes in performance on one or more cognitive tasks. The fundamental problem faced by the researcher is that these mental processes are not directly observable but must be inferred from changes in performance between different experimental conditions. This inference is further complicated by the fact that performance measures may only be monotonically related to the underlying psychological constructs. State-trace analysis provides an approach to this problem which has gained increasing interest in recent years. In this talk, I explain state-trace analysis and discuss the set of mathematical issues that flow from it. Principal among these are the challenges of statistical inference and an unexpected connection to the mathematics of oriented matroids.

	Some thoughts on wine production 15:05 Fri 18 Jun 10 :: School Board Room :: Prof Zbigniew Michalewicz :: School of Computer Science, University of Adelaide Abstract... In the modern information era, managers (e.g. winemakers) recognize the competitive opportunities represented by decision-support tools which can provide a significant cost savings & revenue increases for their businesses. Wineries make daily decisions on the processing of grapes, from harvest time (prediction of maturity of grapes, scheduling of equipment and labour, capacity planning, scheduling of crushers) through tank farm activities (planning and scheduling of wine and juice transfers on the tank farm) to packaging processes (bottling and storage activities). As such operation is quite complex, the whole area is loaded with interesting OR-related issues. These include the issues of global vs. local optimization, relationship between prediction and optimization, operating in dynamic environments, strategic vs. tactical optimization, and multi-objective optimization & trade-off analysis. During the talk we address the above issues; a few real-world applications will be shown and discussed to emphasize some of the presented material.

	Counting lattice points in polytopes and geometry 15:10 Fri 6 Aug 10 :: Napier G04 :: Dr Paul Norbury :: University of Melbourne Abstract... Counting lattice points in polytopes arises in many areas of pure and applied mathematics. A basic counting problem is this: how many different ways can one give change of 1 dollar into 5,10, 20 and 50 cent coins? This problem counts lattice points in a tetrahedron, and if there also must be exactly 10 coins then it counts lattice points in a triangle. The number of lattice points in polytopes can be used to measure the robustness of a computer network, or in statistics to test independence of characteristics of samples. I will describe the general structure of lattice point counts and the difficulty of calculations. I will then describe a particular lattice point count in which the structure simplifies considerably allowing one to calculate easily. I will spend a brief time at the end describing how this is related to the moduli space of Riemann surfaces.

	Triangles, maps and curvature 13:10 Wed 8 Sep 10 :: Napier 210 :: Dr Thomas Leistner :: University of Adelaide Abstract... Euclidean space is flat but the real world is curved. This causes lots of problems for sailors, surveyors, mapmakers, and even geometers. In the talk I will explain how the notion of curvature evolved in mathematics starting off from practical applications such as geodesy and cartography and yielding less practical applications in modern physics.

	Totally disconnected, locally compact groups 15:10 Fri 17 Sep 10 :: Napier G04 :: Prof George Willis :: University of Newcastle Abstract... Locally compact groups occur in many branches of mathematics. Their study falls into two cases: connected groups, which occur as automorphisms of smooth structures such as spheres for example; and totally disconnected groups, which occur as automorphisms of discrete structures such as trees. The talk will give an overview of the currently developing structure theory of totally disconnected locally compact groups. Techniques for analysing totally disconnected groups will be described that correspond to the familiar Lie group methods used to treat connected groups. These techniques played an essential role in the recent solution of a problem raised by R. Zimmer and G. Margulis concerning commensurated subgroups of arithmetic groups.

	The mathematics of smell 15:10 Wed 29 Sep 10 :: Ingkarni Wardli 5.57 :: Dr Michael Borgas :: CSIRO Light Metals Flagship; Marine and Atmospheric Research; Centre for Australian Weather and Clim Abstract... The sense of smell is important in nature, but the least well understood of our senses. A mathematical model of smell, which combines the transmission of volatile-organic-compound chemical signals (VOCs) on the wind, transduced by olfactory receptors in our noses into neural information, and assembled into our odour perception, is useful. Applications include regulations for odour nuisance, like German VDI protocols for calibrated noses, to the design of modern chemical sensors for extracting information from the environment and even for the perfume industry. This talk gives a broad overview of turbulent mixing in surface layers of the atmosphere, measurements of VOCs with PTR-MS (proton transfer reaction mass spectrometers), our noses, and integrated environmental models of the Alumina industry (a source of odour emissions) to help understand the science of smell.

	Mathematical modelling in nanotechnology 15:10 Fri 4 Mar 11 :: 7.15 Ingkarni Wardli :: Prof Jim Hill :: University of Adelaide Media... Abstract... In this talk we present an overview of the mathematical modelling contributions of the Nanomechanics Groups at the Universities of Adelaide and Wollongong. Fullerenes and carbon nanotubes have unique properties, such as low weight, high strength, flexibility, high thermal conductivity and chemical stability, and they have many potential applications in nano-devices. In this talk we first present some new results on the geometric structure of carbon nanotubes and on related nanostructures. One concept that has attracted much attention is the creation of nano-oscillators, to produce frequencies in the gigahertz range, for applications such as ultra-fast optical filters and nano-antennae. The sliding of an inner shell inside an outer shell of a multi-walled carbon nanotube can generate oscillatory frequencies up to several gigahertz, and the shorter the inner tube the higher the frequency. A C60-nanotube oscillator generates high frequencies by oscillating a C60 fullerene inside a single-walled carbon nanotube. Here we discuss the underlying mechanisms of nano-oscillators and using the Lennard-Jones potential together with the continuum approach, to mathematically model the C60-nanotube nano-oscillator. Finally, three illustrative examples of recent modelling in hydrogen storage, nanomedicine and nanocomputing are discussed.

	How are weather forecasts made?... and what role does mathematics play? 12:10 Mon 7 Mar 11 :: 5.57 Ingkarni Wardli :: Mika Peace :: University of Adelaide Abstract... Have you ever wondered where the weather forecast for the next seven days comes from? Come and find out! We will look at the basic laws of meteorology, leading in to the primitive equations, which are solved on supercomputers to produce the weather forecasts we see every day. We will finish by using the current numerical weather prediction charts to forecast our weather for the next few days.

	Nanotechnology: The mathematics of gas storage in metal-organic frameworks. 12:10 Mon 28 Mar 11 :: 5.57 Ingkarni Wardli :: Wei Xian Lim :: University of Adelaide Abstract... Have you thought about what sort of car you would be driving in the future? Would it be a hybrid, solar, hydrogen or electric car? I would like to be driving a hydrogen car because my field of research may aid in their development! In my presentation I will introduce you to the world of metal-organic frameworks, which are an exciting new class of materials that have great potential in applications such as hydrogen gas storage. I will also discuss about the mathematical model that I am using to model the performance of metal-organic frameworks based on beryllium.

	Why is a pure mathematician working in biology? 15:10 Fri 15 Apr 11 :: Mawson Lab G19 lecture theatre :: Associate Prof Andrew Francis :: University of Western Sydney Media... Abstract... A pure mathematician working in biology should be a contradiction in terms. In this talk I will describe how I became interested in working in biology, coming from an algebraic background. I will also describe some areas of evolutionary biology that may benefit from an algebraic approach. Finally, if time permits I will reflect on the sometimes difficult distinction between pure and applied mathematics, and perhaps venture some thoughts on mathematical research in general.

	When statistics meets bioinformatics 12:10 Wed 11 May 11 :: Napier 210 :: Prof Patty Solomon :: School of Mathematical Sciences Media... Abstract... Bioinformatics is a new field of research which encompasses mathematics, computer science, biology, medicine and the physical sciences. It has arisen from the need to handle and analyse the vast amounts of data being generated by the new genomics technologies. The interface of these disciplines used to be information-poor, but is now information-mega-rich, and statistics plays a central role in processing this information and making it intelligible. In this talk, I will describe a published bioinformatics study which claimed to have developed a simple test for the early detection of ovarian cancer from a blood sample. The US Food and Drug Administration was on the verge of approving the test kits for market in 2004 when demonstrated flaws in the study design and analysis led to its withdrawal. We are still waiting for an effective early biomarker test for ovarian cancer.

	The Extended-Domain-Eigenfunction Method: making old mathematics work for new problems 15:10 Fri 13 May 11 :: 7.15 Ingkarni Wardli :: Prof Stan Miklavcic :: University of South Australia Media... Abstract... Standard analytical solutions to elliptic boundary value problems on asymmetric domains are rarely, if ever, obtainable. Several years ago I proposed a solution technique to cope with such complicated domains. It involves the embedding of the original domain into one with simple boundaries where the classical eigenfunction solution approach can be used. The solution in the larger domain, when restricted to the original domain is then the solution of the original boundary value problem. In this talk I will present supporting theory for this idea, some numerical results for the particular case of the Laplace equation and the Stokes flow equations in two-dimensions and discuss advantages and limitations of the proposal.

	Statistical challenges in molecular phylogenetics 15:10 Fri 20 May 11 :: Mawson Lab G19 lecture theatre :: Dr Barbara Holland :: University of Tasmania Media... Abstract... This talk will give an introduction to the ways that mathematics and statistics gets used in the inference of evolutionary (phylogenetic) trees. Taking a model-based approach to estimating the relationships between species has proven to be an enormously effective, however, there are some tricky statistical challenges that remain. The increasingly plentiful amount of DNA sequence data is a boon, but it is also throwing a spotlight on some of the shortcomings of current best practice particularly in how we (1) assess the reliability of our phylogenetic estimates, and (2) how we choose appropriate models. This talk will aim to give a general introduction this area of research and will also highlight some results from two of my recent PhD students.

	Permeability of heterogeneous porous media - experiments, mathematics and computations 15:10 Fri 27 May 11 :: B.21 Ingkarni Wardli :: Prof Patrick Selvadurai :: Department of Civil Engineering and Applied Mechanics, McGill University Abstract... Permeability is a key parameter important to a variety of applications in geological engineering and in the environmental geosciences. The conventional definition of Darcy flow enables the estimation of permeability at different levels of detail. This lecture will focus on the measurement of surface permeability characteristics of a large cuboidal block of Indiana Limestone, using a surface permeameter. The paper discusses the theoretical developments, the solution of the resulting triple integral equations and associated computational treatments that enable the mapping of the near surface permeability of the cuboidal region. This data combined with a kriging procedure is used to develop results for the permeability distribution at the interior of the cuboidal region. Upon verification of the absence of dominant pathways for fluid flow through the cuboidal region, estimates are obtained for the "Effective Permeability" of the cuboid using estimates proposed by Wiener, Landau and Lifschitz, King, Matheron, Journel et al., Dagan and others. The results of these estimates are compared with the geometric mean, derived form the computational estimates.

	From group action to Kontsevich's Swiss-Cheese conjecture through categorification 15:10 Fri 3 Jun 11 :: Mawson Lab G19 :: Dr Michael Batanin :: Macquarie University Media... Abstract... The Kontsevich Swiss-Cheese conjecture is a deep generalization of the Deligne conjecture on Hochschild cochains which plays an important role in the deformation quantization theory. Categorification is a method of thinking about mathematics by replacing set theoretical concepts by some higher dimensional objects. Categorification is somewhat of an art because there is no exact recipe for doing this. It is, however, a very powerful method of understanding (and producing) many deep results starting from simple facts we learned as undergraduate students. In my talk I will explain how Kontsevich Swiss-Cheese conjecture can be easily understood as a special case of categorification of a very familiar statement: an action of a group G (more generally, a monoid) on a set X is the same as group homomorphism from G to the group of automorphisms of X (monoid of endomorphisms of X in the case of a monoid action).

	Object oriented data analysis 14:10 Thu 30 Jun 11 :: 7.15 Ingkarni Wardli :: Prof Steve Marron :: The University of North Carolina at Chapel Hill Abstract... Object Oriented Data Analysis is the statistical analysis of populations of complex objects. In the special case of Functional Data Analysis, these data objects are curves, where standard Euclidean approaches, such as principal components analysis, have been very successful. Recent developments in medical image analysis motivate the statistical analysis of populations of more complex data objects which are elements of mildly non-Euclidean spaces, such as Lie Groups and Symmetric Spaces, or of strongly non-Euclidean spaces, such as spaces of tree-structured data objects. These new contexts for Object Oriented Data Analysis create several potentially large new interfaces between mathematics and statistics. Even in situations where Euclidean analysis makes sense, there are statistical challenges because of the High Dimension Low Sample Size problem, which motivates a new type of asymptotics leading to non-standard mathematical statistics.

	Heads of Mathematics 12:00 Thu 7 Jul 11 :: N132 Engineering North :: School outreach event Abstract... This collaboration with MASA is aimed at high school teachers of mathematics. A mixture of workshops, lectures and discussion sessions is given to expose the teachers to new ideas for teaching mathematics.

	The Selberg integral 15:10 Fri 5 Aug 11 :: 7.15 Ingkarni Wardli :: Prof Ole Warnaar :: University of Queensland Media... Abstract... In this talk I will give a gentle introduction to the mathematics surrounding the Selberg integral. Selberg's integral, which first appeared in two rather unusual papers by Atle Selberg in the 1940s, has become famous as much for its association with (other) mathematical greats such as Enrico Bombieri and Freeman Dyson as for its importance in algebra (Coxeter groups), geometry (hyperplane arrangements) and number theory (the Riemann hypothesis). In this talk I will review the remarkable history of the Selberg integral and discuss some of its early applications. Time permitting I will end the talk by describing some of my own, ongoing work on Selberg integrals related to Lie algebras.

	Textbooks go interactive but are they any better? 12:10 Mon 15 Aug 11 :: 5.57 Ingkarni Wardli :: Mr Patrick Korbel :: University of Adelaide Abstract... Textbooks remain a central part of mathematics lessons in secondary schools. However, while textbooks are still formatted in the traditional way, they are including increasingly more sophisticated software packages to assist teachers and students. I will be demonstrating the different software packages available to students included with two South Australian textbooks. I will talk about how these new features fit into the current classroom environment and some of their potential positives and negatives. I would also like to encourage people to share their own experiences with textbooks, especially if they were used in a novel way or you have experience of mathematics classes in another country.

	MiS information night 16:00 Tue 23 Aug 11 :: 7.15 Ingkarni Wardli Abstract... Mathematicians in Schools (MiS) is a CSIRO-supported endeavour that entails partnerships between mathematicians and high-schools. This relationship helps promote mathematics to high-school students. The MiS information night will consist of participants in established partnerships discussing their experiences and also an opportunity to ask about future participation.

	IGA-AMSI Workshop: Group-valued moment maps with applications to mathematics and physics 10:00 Mon 5 Sep 11 :: 7.15 Ingkarni Wardli Media... Abstract... Lecture series by Eckhard Meinrenken, University of Toronto. Titles of individual lectures: 1) Introduction to G-valued moment maps. 2) Dirac geometry and Witten's volume formulas. 3) Dixmier-Douady theory and pre-quantization. 4) Quantization of group-valued moment maps. 5) Application to Verlinde formulas. These lectures will be supplemented by additional talks by invited speakers. For more details, please see the conference webpage.

	The Makerbot - desktop printing in 3D - and some of the maths that makes it work 12:10 Thu 13 Oct 11 :: Napier 210 :: A/Prof Matt Roughan :: School of Mathematical Sciences Abstract... For many years industry has used CNC (computer numerically controlled) machines to craft specialist items. CNC machines traditionally mill out metal objects with arbitrary shapes, but they are expensive, large and dangerous. In recent years a new type of CNC machine has appeared - a 3D printer - which makes 3D objects by printing layers of plastic. These can be made safe, cheap, and small enough to fit on a desktop. I will show off my 3D printer, and explain some of the maths that goes into it.

	Mathematical opportunities in molecular space 15:10 Fri 28 Oct 11 :: B.18 Ingkarni Wardli :: Dr Aaron Thornton :: CSIRO Abstract... The study of molecular motion, interaction and space at the nanoscale has become a powerful tool in the area of gas separation, storage and conversion for efficient energy solutions. Modeling in this field has typically involved highly iterative computational algorithms such as molecular dynamics, Monte Carlo and quantum mechanics. Mathematical formulae in the form of analytical solutions to this field offer a range of useful and insightful advantages including optimization, bifurcation analysis and standardization. Here we present a few case scenarios where mathematics has provided insight and opportunities for further investigation.

	Quasimodo's Cipher 15:10 Fri 4 Nov 11 :: Room change: Horace Lamb lecture theatre :: Dr Burkard Polster :: Monash University Media... Abstract... I thought to see the fairies in the fields, but I saw only the evil elephants with their black backs. Woe! How that sight awed me! The elves danced all around and about while I heard voices calling clearly.... Puzzled? Curious? Come and join in the chase for the key to this cipher message, learn about the beautiful mathematics underlying the ancient art of ringing the changes, and find out what all this has to do with juggling.

	Applications of tropical geometry to groups and manifolds 13:10 Mon 21 Nov 11 :: B.19 Ingkarni Wardli :: Dr Stephan Tillmann :: University of Queensland Abstract... Tropical geometry is a young field with multiple origins. These include the work of Bergman on logarithmic limit sets of algebraic varieties; the work of the Brazilian computer scientist Simon on discrete mathematics; the work of Bieri, Neumann and Strebel on geometric invariants of groups; and, of course, the work of Newton on polynomials. Even though there is still need for a unified foundation of the field, there is an abundance of applications of tropical geometry in group theory, combinatorics, computational algebra and algebraic geometry. In this talk I will give an overview of (what I understand to be) tropical geometry with a bias towards applications to group theory and low-dimensional topology.

	Fluid mechanics: what's maths got to do with it? 13:10 Tue 20 Mar 12 :: 7.15 Ingkarni Wardli :: A/Prof Jim Denier :: School of Mathematical Sciences Media... Abstract... We've all heard about the grand challenges in mathematics. There was the Poincare Conjecture, which has now been resolved. There is the Riemann Hypothesis which many are seeking to prove. But one of the most intriguing is the so called "Navier-Stokes Equations" problem, intriguing because it not only involves some wickedly difficult mathematics but also involves questions about our deep understanding of nature as encountered in the flow of fluids. This talk will introduce the problem (without the wickedly difficult mathematics) and discuss some of the consequences of its resolution.

	Index type invariants for twisted signature complexes 13:10 Fri 11 May 12 :: Napier LG28 :: Prof Mathai Varghese :: University of Adelaide Abstract... Atiyah-Patodi-Singer proved an index theorem for non-local boundary conditions in the 1970's that has been widely used in mathematics and mathematical physics. A key application of their theory gives the index theorem for signature operators on oriented manifolds with boundary. As a consequence, they defined certain secondary invariants that were metric independent. I will discuss some recent work with Benameur where we extend the APS theory to signature operators twisted by an odd degree closed differential form, and study the corresponding secondary invariants.

	The classification of Dynkin diagrams 12:10 Mon 21 May 12 :: 5.57 Ingkarni Wardli :: Mr Alexander Hanysz :: University of Adelaide Media... Abstract... The idea of continuous symmetry is often described in mathematics via Lie groups. These groups can be classified by their root systems: collections of vectors satisfying certain symmetry properties. The root systems are described in a concise way by Dynkin diagrams, and it turns out, roughly speaking, that there are only seven possible shapes for a Dynkin diagram. In this talk I'll describe some simple examples of Lie groups, explain what a root system is, and show how a Dynkin diagram encodes this information. Then I'll give a very brief sketch of the methods used to classify Dynkin diagrams.

	Adventures with group theory: counting and constructing polynomial invariants for applications in quantum entanglement and molecular phylogenetics 15:10 Fri 8 Jun 12 :: B.21 Ingkarni Wardli :: Dr Peter Jarvis :: The University of Tasmania Media... Abstract... In many modelling problems in mathematics and physics, a standard challenge is dealing with several repeated instances of a system under study. If linear transformations are involved, then the machinery of tensor products steps in, and it is the job of group theory to control how the relevant symmetries lift from a single system, to having many copies. At the level of group characters, the construction which does this is called PLETHYSM. In this talk all this will be contextualised via two case studies: entanglement invariants for multipartite quantum systems, and Markov invariants for tree reconstruction in molecular phylogenetics. By the end of the talk, listeners will have understood why Alice, Bob and Charlie love Cayley's hyperdeterminant, and they will know why the three squangles -- polynomial beasts of degree 5 in 256 variables, with a modest 50,000 terms or so -- can tell us a lot about quartet trees!

	Inquiry-based learning: yesterday and today 15:30 Mon 9 Jul 12 :: Ingkarni Wardli B19 :: Prof Ron Douglas :: Texas A&M University Media... Abstract... The speaker will report on a project to develop and promote approaches to mathematics instruction closely related to the Moore method -- methods which are called inquiry-based learning -- as well as on his personal experience of the Moore method. For background, see the speaker's article in the May 2012 issue of the Notices of the American Mathematical Society. To download the article, click on "Media" above.

	The Four Colour Theorem 11:10 Mon 23 Jul 12 :: B.17 Ingkarni Wardli :: Mr Vincent Schlegel :: University of Adelaide Media... Abstract... Arguably the most famous problem in discrete mathematics, the Four Colour Theorem was first conjectured in 1852 by South African mathematician Francis Guthrie. For 124 years, it defied many attempts to prove and disprove it. I will talk briefly about some of the rich history of this result, including some of the graph-theoretic techniques used in the 1976 Appel-Haken proof.

	Boundary-layer transition and separation over asymmetrically textured spherical surfaces 12:30 Mon 27 Aug 12 :: B.21 Ingkarni Wardli :: Mr Adam Tunney :: University of Adelaide Media... Abstract... The game of cricket is unique among ball sports by the ignorant exploitation of \thetitle in the practice of swing bowling, often referred to as a "mysterious art". I will talk a bit about the Magnus effect exploited in inferior sports, the properties of a cricket ball that allow swing bowling, and the explanation of three modes of swing (conventional, contrast and reverse). Following that there will be some discussion on how I plan to use mathematics to turn this "art" into science.

	Examples of counterexamples 13:10 Tue 4 Sep 12 :: 7.15 Ingkarni Wardli :: Dr Pedram Hekmati :: School of Mathematical Sciences Media... Abstract... This aims to be an example of an exemplary talk on examples of celebrated counterexamples in mathematics. A famous example, for example, is Euler's counterexample to Fermat's conjecture in number theory.

	Knot Theory 12:10 Mon 10 Sep 12 :: B.21 Ingkarni Wardli :: Mr Konrad Pilch :: University of Adelaide Media... Abstract... The ancient Chinese used it, the Celts had this skill in spades, it was a big skill of seafarers and pirates, and even now we need it if only to be able to wear shoes! This talk will be about Knot Theory. Knot theory has a colourful and interesting past and I will touch on the why, the what and the when of knots in mathematics. I shall also discuss the major problems concerning knots including the different methods of classification of knots, the unresolved questions about knots, and why have they even been studied. It will be a thorough immersion that will leave you knotted!

	Quantisation commutes with reduction 15:10 Fri 14 Sep 12 :: B.20 Ingkarni Wardli :: Dr Peter Hochs :: Leibniz University Hannover Media... Abstract... The "Quantisation commutes with reduction" principle is an idea from physics, which has powerful applications in mathematics. It basically states that the ways in which symmetry can be used to simplify a physical system in classical and quantum mechanics, are compatible. This provides a strong link between the areas in mathematics used to describe symmetry in classical and quantum mechanics: symplectic geometry and representation theory, respectively. It has been proved in the 1990s that quantisation indeed commutes with reduction, under the important assumption that all spaces and symmetry groups involved are compact. This talk is an introduction to this principle and, if time permits, its mathematical relevance.

	Krylov Subspace Methods or: How I Learned to Stop Worrying and Love GMRes 12:10 Mon 17 Sep 12 :: B.21 Ingkarni Wardli :: Mr David Wilke :: University of Adelaide Media... Abstract... Many problems within applied mathematics require the solution of a linear system of equations. For instance, models of arterial umbilical blood flow are obtained through a finite element approximation, resulting in a linear, n x n system. For small systems the solution is (almost) trivial, but what happens when n is large? Say, n ~ 10^6? In this case matrix inversion is expensive (read: completely impractical) and we seek approximate solutions in a reasonable time. In this talk I will discuss the basic theory underlying Krylov subspace methods; a class of non-stationary iterative methods which are currently the methods-of-choice for large, sparse, linear systems. In particular I will focus on the method of Generalised Minimum RESiduals (GMRes), which is of the most popular for nonsymmetric systems. It is hoped that through this presentation I will convince you that a) solving linear systems is not necessarily trivial, and that b) my lack of any tangible results is not (entirely) a result of my own incompetence.

	Towards understanding fundamental interactions for nanotechnology 15:10 Fri 5 Oct 12 :: B.20 Ingkarni Wardli :: Dr Doreen Mollenhauer :: MacDiarmid Institute for Advanced Materials and Nanotechnology, Wellington Media... Abstract... Multiple simultaneous interactions show unique collective properties that are qualitatively different from properties displayed by their monovalent constituents. Multivalent interactions play an important role for the self-organization of matter, recognition processes and signal transduction. A broad understanding of these interactions is therefore crucial in order to answer central questions and make new developments in the field of biotechnology and material science. In the framework of a joint experimental and theoretical project we study the electronic effects in monovalent and multivalent interactions by doing quantum chemical calculations. The particular interest of our investigations is in organic molecules interacting with gold nanoparticles or graphene. The main purpose is to analyze the nature of multivalent bonding in comparison to monovalent interaction.

	Rescaling the coalescent 12:30 Mon 8 Oct 12 :: B.21 Ingkarni Wardli :: Mr Adam Rohrlach :: University of Adelaide Media... Abstract... Recently I gave a short talk about how researchers use mathematics to estimate the time since a species' most recent common ancestor. I also pointed out why this generally doesn't work when a population hasn't had a constant population size. Then I quickly changed the subject. In this talk I aim to reintroduce the Coalescent Model, show how it works in general, and finally how researcher's deal with varying a population size.

	Moduli spaces of instantons in algebraic geometry and physics 15:10 Fri 19 Oct 12 :: B.20 Ingkarni Wardli :: Prof Ugo Bruzzo :: International School for Advanced Studies Trieste Media... Abstract... I will give a quick introduction to the notion of instanton, stressing its role in physics and in mathematics. I will also show how algebraic geometry provides powerful tools to study the geometry of the moduli spaces of instantons.

	Mathematics in Popular Culture: the Good, the Bad and the Ugly 12:30 Mon 22 Oct 12 :: B.21 Ingkarni Wardli :: Mr Patrick Korbel :: University of Adelaide Media... Abstract... A slightly unusual (for this School at least) and hopefully entertaining look at representations of mathematics and mathematicians in popular culture. Do these representations affect people's perceptions of mathematics and its mysterious practitioners? What examples of positive and negative representations are there? Should we care and should it affect our enjoyment those texts? All these questions and many more will remain hopelessly unanswered as we try to cover examples such as Numb3rs, Mean Girls, A Beautiful Mind, Good Will Hunting, 21, The Simpsons and Futurama. Feel free to come prepared with your own examples of egregious crimes against mathematics or refreshing beacons of hope.

	Fair and Loathing in State Parliament 12:10 Mon 29 Oct 12 :: B.21 Ingkarni Wardli :: Mr Casey Briggs :: University of Adelaide Media... Abstract... The South Australian electoral system has a history of bias, malapportionment and perceived unfairness. These days, it is typical of most systems across Australia, except with one major difference - a specific legislated criterion designed to force the system to be 'fair'. In reality, fairness is a hard concept to define, and an even harder concept to enforce. In this talk I will briefly take you through the history of South Australian electoral reform, the current state of affairs and my proposed research. There will be very little in the way of rigorous mathematics. No knowledge of politics is assumed, but an understanding of the process of voting would be useful.

	Filtering Theory in Modelling the Electricity Market 12:10 Mon 6 May 13 :: B.19 Ingkarni Wardli :: Ahmed Hamada :: University of Adelaide Media... Abstract... In mathematical finance, as in many other fields where applied mathematics is a powerful tool, we assume that a model is good enough when it captures different sources of randomness affecting the quantity of interests, which in this case is the electricity prices. The power market is very different from other markets in terms of the randomness sources that can be observed in the prices feature and evolution. We start from suggesting a new model that simulates the electricity prices, this new model is constructed by adding a periodicity term, a jumps terms and a positives mean reverting term. The later term is driven by a non-observable Markov process. So in order to prices some financial product, we have to use some of the filtering theory to deal with the non-observable process, these techniques are gaining very much of interest from practitioners and researchers in the field of financial mathematics.

	Quantization, Representations and the Orbit Philosophy 15:10 Fri 5 Jul 13 :: B.18 Ingkarni Wardli :: Prof Nigel Higson :: Pennsylvania State University Media... Abstract... This talk will be about the mathematics of quantization and about representation theory, where the concept of quantization seems to be especially relevant. It was discovered by Kirillov in the 1960's that the representation theory of nilpotent Lie groups (such as the group that encodes Heisenberg's commutation relations) can be beautifully and efficiently described using a vocabulary drawn from geometry and quantum mechanics. The description was soon adapted to other classes of Lie groups, and the expectation that it ought to apply almost universally has come to be called the "orbit philosophy." But despite early successes, the orbit philosophy is in a decidedly unfinished state. I'll try to explain some of the issues and some possible new directions.

News matching "Nanotechnology: The mathematics of gas storage in "

	Usenet Conference Associate Professor Matt Roughan (Applied Mathematics) has been invited to Co-Chair the Association for Computing Machinery Usenet Internet Measurement Conference. Posted Mon 15 Jan 07.

	Dr Yvonne Stokes wins Michell Medal Dr Yvonne Stokes (Applied Mathematics) was awarded the 2007 J.H. Michell Medal of ANZIAM. The award is made annually to an outstanding new researcher, one who is in the first ten years of their research career. Read Yvonne's citation here. Posted Mon 5 Mar 07.

	Mathematics Building to be demolished The existing mathematics building will be demolished to make way for a new 8-storey, 6-star building. The new building, which is expected to be completed for the start of semester 1, 2010, will house the Schools of Electrical and Electronic Engineering, Computer Science and Mathematical Sciences. The demolition will begin on 10th December 2007. See the Building Life Impact web-site for more details. Posted Mon 12 Nov 07.

	School to move to new accommodation In anticipation of the demolition of the existing Mathematics building, the School of Mathematical Sciences will be moving to new temporary accommodation. As from 10th December 2007 we can be found on level 3 (School Office) and 4 of 10 Pulteney Street. Posted Mon 10 Dec 07.

	Potts Medal Winner Professor Charles Pearce, the Elder Profesor of Mathematics, was awarded the Ren Potts Medal by the Australian Society for Operations Research at its annual meeting in December. This is a national award for outstanding contributions to Operations Research in Australia. Posted Tue 22 Jan 08.

	University Implementation Grant for Learning and Teaching Enhancements Congratulations to Dr Adrian Koerber and Dr Paul McCann who have been successful in securing $40,000 funding from the University Implementation Grant for Learning and Teaching Enhancements. Their proposal "An enhanced implementation of Maple T.A. in mathematics service courses" will expand the use of Maple TA, and online assessment, further into the School large second year service courses. Posted Fri 18 Apr 08.

	Open Day Innovation Fund Success Congratulations to Associate Professor Matt Roughan, Mr David Butler and Mr Jono Tuke who have been awarded $2000 from the Open Day Innovation Fund for their project "Tactile Mathematics". Posted Fri 18 Apr 08.

	Positions available in the School (5) The School is currently seeking a Professor of Statistics, an Associate Professor of Statistics, a Lecturer/Senior Lecturer in Applied Mathematics, a Lecturer in Applied Mathematics and a Lecturer in Pure Mathematics. See the University's jobs website for full details, including the selection criteria. Posted Fri 23 May 08.

	Teaching Fellow Position Visiting Teaching Fellow School of Mathematical Sciences (Ref: 3808) We are seeking a Visiting Teaching Fellow (Associate Lecturer) who will be responsible for developing better links between the University of Adelaide and secondary schools and developing new approaches for first-year undergraduate teaching. You will be required to conduct tutorials in first year mathematics and statistics subjects for up to 16 hours per week, and assist in subject assessment and curriculum development. This position would suit an experienced mathematics teacher with strong mathematical training and an interest and recent involvement in teaching advanced mathematics units in years 11 and 12. Fixed-term position available from 19 January 2009 to 31 December 2009. Salary: (Level A) $49,053 - $66,567 per annum.Plus an employer superannuation contribution of 17% applies. (Closing date 14/11/08.) Please see the University web site for further details. Posted Wed 17 Sep 08.

	Positions available in the School (2) The School expects to advertise two tenurable ("tenure track") positions, one in Pure Mathematics and one in Applied Mathematics, in the coming month. Please check back regularly for further details. Posted Fri 6 Mar 09.

	Mini Winter School on Geometry and Physics The Institute for Geometry and its Applications will host a Winter School on Geometry and Physics on 20-22 July 2009. There will be three days of expository lectures aimed at 3rd year and honours students interested in postgraduate studies in pure mathematics or mathematical physics. Posted Wed 24 Jun 09. More information...

	Position available: Lecturer in Applied Mathematics The School is currently seeking to appoint a Lecturer in Applied Mathematics in the area of optimisation. See the University's jobs website for full details, including the selection criteria. Posted Wed 26 Aug 09.

	Position available: Professor of Pure Mathematics The School is currently seeking to appoint a Professor of Pure Mathematics. See the University's jobs website for full details, including the selection criteria. Posted Fri 18 Sep 09. More information...

	Group of Eight review The Go8 Review of Mathematics and Quantitative Disciplines has been released and is now available on the Go8 website. Posted Sat 20 Mar 10. More information...

	New Fellow of the Australian Academy of Science Professor Mathai Varghese, Professor of Pure Mathematics and ARC Professorial Fellow within the School of Mathematical Sciences, was elected to the Australian Academy of Science. Professor Varghese's citation read "for his distinguished for his work in geometric analysis involving the topology of manifolds, including the Mathai-Quillen formalism in topological field theory.". Posted Tue 30 Nov 10.

	Lectureships in Pure and Applied Mathematics Two lecturer positions are now available, one in Pure Mathematics and one in Applied Mathematics. The closing date is 17th December 2010. Further details of these two positions, and how to apply, can be found here: Lecturer in Pure Mathematics and the Lecturer in Applied Mathematics Posted Tue 30 Nov 10.

	Post-doctoral positions available in Applied Mathematics Four post-doctoral positions are now available in Applied Mathematics. Further details of these positions including the application procedure and closing dates can be found here and here. Posted Wed 22 Dec 10.

	Professor of Pure Mathematics We are seeking an experienced researcher with an international reputation in an area of Pure Mathematics to join the School as a Full Professor in Pure Mathematics. You will also be an enthusiastic contributor to our teaching programs at undergraduate and postgraduate levels and be willing to take a leading role in the continued development and expansion of the School. Full details on how to apply, including the selection criteria are available on the University's jobs website. Posted Fri 3 Jun 11.

	IGA-AMSI Workshop: Group-valued moment maps with applications to mathematics and physics (5–9 September 2011) Lecture series by Eckhard Meinrenken, University of Toronto. Titles of individual lectures: 1) Introduction to G-valued moment maps. 2) Dirac geometry and Witten's volume formulas. 3) Dixmier-Douady theory and pre-quantization. 4) Quantization of group-valued moment maps. 5) Application to Verlinde formulas. These lectures will be supplemented by additional talks by invited speakers. For more details, please see the conference webpage Posted Wed 27 Jul 11. More information...

	Two contract positions are available As a result of the School's success in securing two prestigious Australian Research Council Future Fellowships, we now have two limited term positions available, one in Pure Mathematics and one in Statistics . Posted Wed 14 Dec 11.

	Hayden Tronnolone receives A. F. Pillow Scholarship Please join me in congratulating Mr Hayden Tronnolone who was awarded the A. F. Pillow Applied Mathematics Top-up Scholarship at the 2012 ANZIAM conference in Warrnambool. Posted Thu 16 Feb 12.

Publications matching "Nanotechnology: The mathematics of gas storage in "

Publications
The decay of suddenly blocked flow in a curved pipe Clarke, Robert; Denier, James, Journal of Engineering Mathematics 63 (241–257) 2009
Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field Ikbal, M; Chakravarty, S; Wong, Kelvin; Mazumdar, Jagan; Mandal, P, Journal of Computational and Applied Mathematics 230 (243–259) 2009
Elementary Calculus of Financial Mathematics Roberts, Anthony John, (Society for Industrial and Applied Mathematics) 2009
Holomorphic classification of four-dimensional surfaces in C3 Beloshapka, V; Ezhov, Vladimir; Schmalz, G, Izvestiya Mathematics 72 (413–427) 2008
Influence of rapid changes in a channel bottom on free-surface flows Binder, Benjamin; Dias, F; Vanden-Broeck, J, IMA Journal of Applied Mathematics 73 (254–273) 2008
Some U-Statistics in goodness-of-fit tests derived from characterizations via record values Morris, Kerwin; Szynal, D, International Journal of Pure and Applied Mathematics 46 (507–582) 2008
Synchronization of neural networks based on parameter identification and via output or state coupling Lou, X; Cui, B, Journal of Computational and Applied Mathematics 222 (440–457) 2008
The mathematical modelling of rotating capillary tubes for holey-fibre manufacture Voyce, Christopher; Fitt, A; Monro, Tanya, Journal of Engineering Mathematics 60 (69–87) 2008
Using distortions of copulas to price synthetic CDOs Crane, Glenis Jayne; Van Der Hoek, John, Insurance Mathematics & Economics 42 (903–908) 2008
Thomas P. Branson (1953?2006) - Professor of Mathematics, University of Iowa Chang, A; Eastwood, Michael; Gover, R; Jorgensen, P; Olafsson, G; Oersted, B; Yang, P; Peterson, L; Svidersky, O; Ugalde, W; Hong, P, Acta Applicandae Mathematicae 102 (127–129) 2008
Aspects of Dirac operators in analysis Eastwood, Michael; Ryan, J, Milan Journal of Mathematics 75 (91–116) 2007
Computation of extensional fall of slender viscous drops by a one-dimensional eulerian method Hajek, Bronwyn; Stokes, Yvonne; Tuck, Ernest, Siam Journal on Applied Mathematics 67 (1166–1182) 2007
Goodness-of-fit tests based on characterizations involving moments of order statistics Morris, Kerwin; Szynal, D, International Journal of Pure and Applied Mathematics 38 (83–121) 2007
The twistor construction and Penrose transform in split signature Eastwood, Michael, The Asian Journal of Mathematics 11 (103–111) 2007
A biography of J. N. Newman Tuck, Ernest, Journal of Engineering Mathematics 58 (1–5) 2007
Cayley hypersurfaces Eastwood, Michael; Ezhov, Vladimir, Steklov Institute of Mathematics. Proceedings 253 (221–224) 2006
Heat kernels and the range of the trace on completions of twisted group algebras Varghese, Mathai, Contemporary Mathematics 398 (321–345) 2006
Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians Dodziuk, Josef; Varghese, Mathai, Contemporary Mathematics 398 (69–82) 2006
Linear transformations on codes Glynn, David; Gulliver, T; Gupta, M, Discrete Mathematics 306 (1871–1880) 2006
On a generalised Connes-Hochschild-Kostant-Rosenberg theorem Varghese, Mathai; Stevenson, Daniel, Advances in Mathematics 200 (303–335) 2006
Prolongations of geometric overdetermined systems Branson, T; Cap, A; Eastwood, Michael; Gover, A, International Journal of Mathematics 17 (641–664) 2006
Some Penrose transforms in complex differential geometry Anco, S; Bland, J; Eastwood, Michael, Science in China Series A-Mathematics Physics Astronomy 49 (1599–1610) 2006
The instability of the flow in a suddenly blocked pipe Jewell, Nathaniel; Denier, James, Quarterly Journal of Mechanics and Applied Mathematics 59 (651–673) 2006
Resolving the multitude of microscale interactions accurately models stochastic partial differential equations Roberts, Anthony John, London Mathematical Society. Journal of Computation and Mathematics 9 (193–221) 2006
Analysis of a practical control policy for water storage in two connected dams Howlett, P; Piantadosi, J; Pearce, Charles, chapter in Continuous optimization: Current trends and modern applications (Springer) 435–450, 2005
Class-D audio amplifiers with negative feedback Cox, Stephen; Candy, B, Siam Journal on Applied Mathematics 66 (468–488) 2005
Examples of unbounded homogeneous domains in complex space Eastwood, Michael; Isaev, A, Science in China Series A-Mathematics Physics Astronomy 48 (248–261) 2005
Generalized quadrangles and regularity Brown, Matthew, Discrete Mathematics 294 (25–42) 2005
Goodness-of-fit tests via characterizations Morris, Kerwin; Szynal, D, International Journal of Pure and Applied Mathematics 23 (491–555) 2005
Hamiltonian dynamics and morse topology of humanoid robots Ivancevic, V; Pearce, Charles, Global Journal of Mathematics and Mathematical Sciences (GJMMS) 1 (9–19) 2005
Higher symmetries of the Laplacian Eastwood, Michael, Annals of Mathematics 161 (1645–1665) 2005
L2 torsion without the determinant class condition and extended L2 cohomology Braverman, M; Carey, Alan; Farber, M; Varghese, Mathai, Communications in Contemporary Mathematics 7 (421–462) 2005
On some polynomial-like inequalities of Brenner and Alzer Pearce, Charles; Pecaric, Josip, Journal of Inequalities in Pure and Applied Mathematics 6 (WWW 1–WWW 5) 2005
Oriented site percolation, phase transitions and probability bounds Pearce, Charles; Fletcher, F, Journal of Inequalities in Pure and Applied Mathematics 6 (WWW 1–WWW 15) 2005
Representations via overdetermined systems Eastwood, Michael, Contemporary Mathematics 368 (201–210) 2005
Self-similar "stagnation point" boundary layer flows with suction or injection King, J; Cox, Stephen, Studies in Applied Mathematics 115 (73–107) 2005
Free surface flows past surfboards and sluice gates Binder, Benjamin; Vanden-Broeck, J, European Journal of Applied Mathematics 16 (601–619) 2005
Preface to the Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, EMAC-2005 Stacey, A; Blyth, B; Shepherd, J; Roberts, Anthony John, The ANZIAM Journal 47 (–) 2005
Some Properties of the Capacity Value Function Chiera, Belinda; Krzesinski, A; Taylor, Peter, Siam Journal on Applied Mathematics 65 (1407–1419) 2005
A deterministic discretisation-step upper bound for state estimation via Clark transformations Malcolm, William; Elliott, Robert; Van Der Hoek, John, J.A.M.S.A. Journal of Applied Mathematics and Stochastic Analysis 2004 (371–384) 2004
A fundamental solution for linear second-order elliptic systems with variable coefficients Clements, David, Journal of Engineering Mathematics 49 (209–216) 2004
Kirillov theory for a class of discrete nilpotent groups Tandra, Haryono; Moran, W, Canadian Journal of Mathematics-Journal Canadien de Mathematiques 56 (883–896) 2004
Large-Reynolds-number asymptotics of the Berman problem Cox, Stephen; King, J, Studies in Applied Mathematics 113 (217–243) 2004
Mixing measures for a two-dimensional chaotic Stokes flow Finn, Matthew; Cox, Stephen; Byrne, H, Journal of Engineering Mathematics 48 (129–155) 2004
Moduli of isolated hypersurface singularities Eastwood, Michael, The Asian Journal of Mathematics 8 (305–314) 2004
Monads and bundles on rational surfaces Buchdahl, Nicholas, Rocky Mountain Journal of Mathematics 34 (513–540) 2004
Pricing claims on non tradable assets Elliott, Robert; Van Der Hoek, John, Contemporary Mathematics 351 (103–114) 2004
Mathematics of Financial Markets Elliott, Robert; Kopp, P, (Springer) 2004
Arbitrage in a Discrete Version of the Wick-Fractional Black Scholes Model Bender, C; Elliott, Robert, Mathematics of Operations Research 29 (935–945) 2004
Euler and his contribution to number theory Glen, Amy; Scott, Paul, Australian Mathematics Teacher 1 (2–5) 2004
Two-zone model of shear dispersion in a channel using centre manifolds Roberts, Anthony John; Strunin, D, Quarterly Journal of Mechanics and Applied Mathematics 57 (363–378) 2004
Approximating L2 invariants and the Atiyah conjecture Dodziuk, Josef; Linnell, P; Varghese, Mathai; Schick, T; Yates, Stuart, Communications on Pure and Applied Mathematics 56 (839–873) 2003
Interpolations of Jensen's inequality Dragomir, S; Pearce, Charles; Pecaric, Josip, Tamkang Journal of Mathematics 34 (175–187) 2003
On some spectral results relating to the relative values of means Pearce, Charles, Journal of Inequalities in Pure and Applied Mathematics 4 (1–7) 2003
Radon and Fourier transforms for D-modules D'Agnolo, A; Eastwood, Michael, Advances in Mathematics 180 (452–485) 2003
The geometric triangle for 3-dimensional Seiberg-Witten monopoles Carey, Alan; Marcolli, M; Wang, Bai-Ling, Communications in Contemporary Mathematics 5 (197–250) 2003
The nonparallel evolution of nonlinear short waves in buoyant boundary layers Denier, James; Bassom, A, Studies in Applied Mathematics 110 (139–156) 2003
A holistic finite difference approach models linear dynamics consistently Roberts, Anthony John, Mathematics of Computation 72 (247–262) 2003
Modelling the dynamics of turbulent floods Mei, Z; Roberts, Anthony John; Li, Z, Siam Journal on Applied Mathematics 63 (423–458) 2003
A comparison of linear and nonlinear computations of waves made by slender submerged bodies Tuck, Ernest; Scullen, David, Journal of Engineering Mathematics 42 (255–264) 2002
Inequalities for lattice constrained planar convex sets Hillock, P; Scott, Paul, Journal of Inequalities in Pure and Applied Mathematics 3 (www 23:1–www 23:10) 2002
Ruled cubic surfaces in PG(4, q), Baer subplanes of PG(2, q2) and Hermitian curves Casse, Rey; Quinn, Catherine, Discrete Mathematics 248 (17–25) 2002
Supporting maintenance strategies using Markov models Al-Hassan, K; Swailes, D; Chan, J; Metcalfe, Andrew, IMA Journal of Management Mathematics 13 (17–27) 2002
Towards the inverse of a word Clarke, Robert, Discrete Mathematics 256 (595–607) 2002
Weak UCP and perturbed monopole equations Booss-Bavnbek, B; Marcolli, M; Wang, Bai-Ling, International Journal of Mathematics 13 (987–1008) 2002
A class of non-expected utility risk measures and implications for asset allocations Van Der Hoek, John; Sherris, M, Insurance Mathematics & Economics 28 (69–82) 2001
A classification of non-degenerate homogeneous equiaffine hypersurfaces in four complex dimensions Eastwood, Michael; Ezhov, Vladimir, The Asian Journal of Mathematics 5 (721–740) 2001
On Boutroux's tritronque solutions of the first Painlev equation Joshi, Nalini; Kitaev, Alexandre, Studies in Applied Mathematics 107 (253–291) 2001
On Euler trapezoid formulae Dedic, L; Matic, M; Pecaric, Josip, Applied Mathematics and Computation 123 (37–62) 2001
Plya-type inequalities for arbitrary functions Pearce, Charles; Pecaric, Josip; Varosanec, S, Houston Journal of Mathematics 27 (601–612) 2001
The Mx/G/1 queue with queue length dependent service times Choi, B; Kim, Y; Shin, Y; Pearce, Charles, J.A.M.S.A. Journal of Applied Mathematics and Stochastic Analysis 14 (399–419) 2001
Twistor results for integral transforms Bailey, T; Eastwood, Michael, Contemporary Mathematics 278 (77–86) 2001
A generalized trapezoid inequality for functions of bounded variation Cerone, Pietro; Dragomir, S; Pearce, Charles, Turkish Journal of Mathematics 24 (147–163) 2000
Analytic continuation of vector bundles with Lp-curvature Harris, A; Tonegawa, Y, International Journal of Mathematics 11 (29–40) 2000
Blowups and gauge fields Buchdahl, Nicholas, Pacific Journal of Mathematics 196 (69–111) 2000
CVBEM for a class of linear crack problems Ang, W; Clements, David; Dehghan, M, Mathematics and Mechanics of Solids 4 (369–391) 2000
Correspondences, von Neumann algebras and holomorphic L2 torsion Carey, Alan; Farber, M; Varghese, Mathai, Canadian Journal of Mathematics-Journal Canadien de Mathematiques 52 (695–736) 2000
Deformations of carbon-fiber-reinforced yacht masts Clements, David; Cooke, Tristrom, Journal of Engineering Mathematics 37 (11–25) 2000
Extensional fall of a very viscous fluid drop Stokes, Yvonne; Tuck, Ernest; Schwartz, L, Quarterly Journal of Mechanics and Applied Mathematics 53 (565–582) 2000
Inequalities for convex sets Scott, Paul; Awyong, P-W, Journal of Inequalities in Pure and Applied Mathematics 1 (1–6) 2000
Inequalities for differentiable mappings with application to special means and quadrature formulae Pearce, Charles; Pecaric, Josip, Applied Mathematics Letters 13 (51–55) 2000
Multivariate Hardy-type inequalities Hanjs, Z; Pearce, Charles; Pecaric, Josip, Tamkang Journal of Mathematics 31 (149–158) 2000
Nonexistence results for the Korteweg-de Vries and Kadomtsev-Petviashvili equations Joshi, Nalini; Petersen, J; Schubert, Luke Mark, Studies in Applied Mathematics 105 (361–374) 2000
Notes on Seiberg-Witten-Floer theory Carey, Alan; Wang, Bai-Ling, Contemporary Mathematics 258 (71–85) 2000
On unbounded p-summable Fredholm modules Carey, Alan; Phillips, J; Sukochev, Fedor, Advances in Mathematics 151 (140–163) 2000
Reciprocal link for 2 + 1-dimensional extensions of shallow water equations Hone, Andrew, Applied Mathematics Letters 13 (37–42) 2000
Refinements of Jensen's inequality Brnetic, I; Pearce, Charles; Pecaric, Josip, Tamkang Journal of Mathematics 31 (63–69) 2000
Remarks on a variable-coefficient sine-gordon equation Hone, Andrew, Applied Mathematics Letters 13 (83–84) 2000
The unified treatment of some inequalities of Ostrowski and Simpson types Culjak, V; Pearce, Charles; Pecaric, Josip, Soochow Journal of Mathematics 26 (377–390) 2000
Weak and generalized solutions to abstract stochastic equations Melnikova, I; Filinkov, Alexei, Doklady Mathematics 62 (373–377) 2000

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