Mick Roberts has returned to Wallaceville after a short overseas trip. He spent two weeks at the Department of Ecology and Evolutionary Biology, Princeton, continuing a joint research project with Andrew Dobson. He then attended and gave a plenary paper at the Fourth International Conference on Mathematical Population Dynamics, Rice University, Houston, before visiting Oxford and Cambridge Universities in the UK, and spending a week working with Hans Heesterbeek at the Agricultural Mathematics Group, Wageningen.

Dave Saville reports:- There are currently five biometricians at the crown research institutes at Lincoln. AgResearch has three, Dave Saville (80% time), David Baird and Lesley Hunt (50%). Crop & Food has one Andrew Wallace. Landcare has one, Jenny Brown. This will change again soon. Jenny is off to the University of Wisconsin at Stevens Point in August, and Landcare are advertising to replace her. Also, Ruth Butler will move from Crop & Food at Levin to join Andrew at Lincoln in December. David Baird is away till mid-July on a Rothamsted (UK) Fellowship, helping to write a Windows interface to Genstat, the statistical computing package most widely used in agricultural research in "British" countries. Dave Saville and Graham Wood have just finalised a contract with Springer-Verlag for a mini-version of their book on the geometry of statistics; this will be produced in paperback at about (US)$29.95, and should hit the bookshops early next year.

M Roberts



In April, Ivan Reilly attended the Regional Collaboration in Mathematics Education held at Monash University, sponsored by ICMI. Following that, he visited the 4 tertiary institutions in Melbourne: La Trobe University, Monash University, Royal Melbourne Institute of Technology, and University of Melbourne. In July he visited the Faculty of Mathematics at the University of Waterloo for a week, after which he led the NZ team (of 6 high school students) to the International Mathematical Olympiad in Toronto.


Jennifer Lennon went to Vienna, for the oral examination by Hermann Maurer of her thesis on "New Aspects of Hypermedia systems"; and she has now gained her PhD.

Rick Mugridge has gone on leave to California State University at Long Beach; and he has exchanged houses with Dr Slawomir Marian Lodzinski (of the Electrical Engineering Department there), who has come here as a Fulbright Fellow.


Dr Klaus Hinrichs (Westfalische Wilhelms-Universität), "Plane-sweep algorithms solve proximity problems on sets of convex planar objects elegantly".

Dr Helmut Jurgensen (University of Western Ontario), "The Hierarchy of Codes", Soliton Automata", and "A Theory of Circuit Testing".

Professor Sheng Yu (University of Western Ontario), "Synchronization expressions in ParC (Parallel C)", and "A pumping lemma for deterministic context-free languages".

Professor Tudor Zamfirescu (Dortmund University), "Longest cycles in grid-related graphs".

Professor Ioan Tomescu (University of Bucharest), "Minimum spanning Hypertrees".

Jim Fulton (Network Computing Devices), "Multimedia's evolution towards client-server computing".

Dr Fred Richman (Florida Atlantic University & University of Waikato), "Nontrivial uses of trivial rings".

Professor Clark Thomborson (University of Minnesota)} "Why aren't there more women computer scientists?", "Linearizing the memory hierarchy", and "Finding a good job as a programmer".

Dr Alan Creak (Department of Computer Science), "YAPOOMI: Yet Another Personal Opinion On Machine Intelligence".

Professor Omran Bukhres (Purdue University), "InterBase: an execution environment for heterogeneous software systems".

Dr Richard Lobb (Department of Computer Science), "Smoothing of polyhedra".

Stephen Fenwick (ANU) "Distributed Object Stores and Performance Monitoring".

Gill Dobbie (VUW), "A foundation for deductive object-oriented database systems".

Professor Hubert L. Dreyfus (University of California at Berkeley), "From Socrates to expert systems: The limits and dangers of calculative rationality".


Ken Ashton has been a Lecturer and then Senior Lecturer here since 1967. He has been an effective lecturer, with research interests in logic and education. In May 1994 he underwent major surgery, and he has been on sick leave since then. Ken had another major operation in March 1995, and in June 1995 he and his wife Annette were able to make a visit to Tasmania. Ken has now decided to take early retirement, as from 1995 July 31. We have missed his presence during the past year, and we much regret that he will not be working with us again. We all wish Ken a happy and long retirement.

Peter Lorimer continues on sick leave.

Dr Rod Gover (at the University of Adelaide) and Dr Shayne Waldron (at the University of Wisconsin) have been appointed as Lecturers.

Dr Geoff Nicholls has arrived, as Lecturer in the Applied & Computational Mathematics Unit.

Mark Wilson, a graduate of the University of Canterbury who has been appointed as Tutor, has completed his PhD at the University of Wisconsin. Michael Smythe, a graduate of this Department who is now a Tutor, has completed his PhD at the University of Newcastle. Dr Horst Gerlach, who had been a Tutor in the Applied & Computational Mathematics Unit for 5 years, resigned in February in order to return to Germany.

Gaven Martin is on leave for 1995, at ANU, Finland, USA etc. etc.

Norm Levenberg has returned from leave at Indiana State University, and Professor Len Bos (University of Calgary) has come to continue working with him.

John Butcher attended a conference at the University of Arizona, in honour of Bill Gear's 65th birthday. Philip Sharp was at Queen's University (Ontario), for the month of May. Vivien Kirk was at the University of Chicago, in May. Boris Pavlov attended a conference at Brunei in May, and in July he attended some conferences in Europe. Michael Thomas is on leave at Reading University, and Bill Barton is attending a conference at Cairns. Marston Conder took part in a Workshop in Computational Algebra and Set Theory, at Macquarie University in April.

Paul Turner, who was a graduate student here in 1989, has been appointed to a Lectureship at the University of Aberdeen. Paul got his PhD from the University of Manchester, and he works in algebraic topology. Paul is currently at the Max-Planck Institute in Bonn on a von Humboldt fellowship, and he will begin at Aberdeen in January 1996.


Professor J. Douglas Lawson (President of Algoma University College, Ontario), visited the Applied & Computational mathematics Unit for the first term. He delivered the 1995 Aldis Lecture, on "The contributions of F. Wilson to the development of education of indigenous peoples".

Professor Igor Boglaev (formerly at the University of Moscow) is visiting the Computational & Applied Mathematics Unit for 1995. Dr Shangmin Cao, (of Liaocheng Teachers College, Shandong, China) is visiting until the end of September. Professor David Borwein (University of Western Ontario - London) visited for a week, followed 2 weeks later by his son Dr. Jonathan Borwein (Simon Fraser University). Dr John Fauvel (Open University), eminent historian of mathematics, visited in June. Professor Petar Kenderov (Institute of Mathematics, Sofia) is visiting for the second term.

Professor Efim Zelmanov (of Yale University and the University of Chicago), winner of a Fields Medal in 1994 for his solution of the Restricted Burnside Problem in group theory, came for a week as University of Auckland Foundation Visitor and Sir Henry Cooper Fellow. A workshop on "Groups and Lie algebras" was held on July 5th, with the following speakers:

Dr Eamonn O'Brien (ANU), "Minimal presentations for p-groups".

Professor Efim Zelmanov (Chicago/Yale), "Pro p-groups and Lie algebras".

Dr Mike Newman (ANU), "Nilpotent Lie algebras".

Dr Mark Wilson (Auckland), "Lie properties of restricted enveloping algebras".

Dr Ian Hawthorn (Waikato), "Nice results from nasty functions".

Dr Arkadii Slinko (Auckland), "Co-algebraic Lie coalgebras".


Mark C. Wilson (University of Wisconsin), "Primeness of enveloping algebras".

Dr Margaret Taplin & Dr Jeff James (University of Tasmania), "Mathematics remediation for pre-service teachers".

Professor Jan Jaworowski (Indiana State University), "Antipodal coincidence for maps of spheres into complexes"

Afzal Ahmed & Honor Williams (Chichester Institute of Higher Education), "Can assessment maintain fidelity to the curriculum without exposing teaching quality?".

Dr Graham Baird (Western Australia School of Mines, Kalgoorlie), "Calculus for non-mathematicians: some thoughts".

Professor Colette Laborde (University of Grenoble), "The impact of the computer environment on learning".

Professor Mikhail Shubin, "Semiclassical asymptotics and Morse inequalities", and "Non-commutative 2-torus and Cantor spectra".

Dr Robert Wisbauer (University of Dusseldorf), "Modules over skew group rings", and "Linear topologies and module categories".

Professor Ioan Tomescu (University of Bucharest), "Bonferroni inequalities and negative cycles in large complete signed graphs".

Dr Mike Meylan (University of Otago, joint seminar with Engineering Science), "The motion of flexible structures in waves".

Dr Roger Alexander (University of Iowa), "New tricks for old dogs".

Professor David Borwein (University of Western Ontario - London), "Hardy-type inequali-ties".

Michelle Selinger (Open University), "Keeping in touch: computer communication in a distance-taught initial teacher education course".

Dr John Fauvel (Open University), "Why don't teachers learn the history of mathematics?".

Professor Jonathan Borwein (Simon Fraser University) "Viscosity subderivatives - theory and applications".

Professor Efim Zelmanov (University of Chicago/Yale University). "Solution of the Restricted Burnside Problem".

Dr Emily Stone (Utah State University), "Noise amplification by dynamical systems".

Professor Len Bos (University of Calgary), "The distance between a point and an algebraic hypersurface in Cn".


Associate Professor David J. Scott has arrived at Tamaki Campus.

Matt Regan, who had been on sick leave since February, has resumed as Senior Tutor at the Tamaki Campus.

A Director's Award For Teaching Excellence has been founded by Ivan Reilly. At a ceremony on May 30th, he presented the first such Award to the team teaching Stage 1 Statistics. Most of the members of the Department are members of that team, which this year is teaching about 2500 students in the several Stage 1 courses on Statistics.

Ross Ihaka and Robert Gentleman attended a workshop on Design & Implementation of Data Analysis Systems, at Heidelberg in July. Chris Triggs spent 3 months at the University of Seattle, running their Statistical Consulting Service.

Ilze Ziedins attended the Statistic Processes at Massey workshop (SPAM) in February, and the 23rd Conference on Stochastic Processes and their Application and the First INFORMS International Conference, both at Singapore in June. Renate Meyer and Chris Wild attended the joint JMS and Canadian Statistical Society Conference at Montreal, in July.

Siew Choo Soo has completed her PhD with her thesis on "Analysis of correlated categorical data", supervised by Alan Lee and Alastair Scott. She is now a statistician in the Freemasons Geriatric Unit of the School of Medicine.


Recent visitors include Professor Josef Steinebach (University of Marburg), Dr Clifford Konold (University of Massachusetts), Professor Danny Pfeffermann (Hebrew University), Dr Mark Bebbington (Massey University) and Dr Ruth J. Williams (University of California).


Dr Ralph Disney (Texas A&M, and Erskine Fellow, University of Canterbury), "The sojourn time problem in queuing networks".

Dr Lakhdar Aggoun (University of Auckland), "Recursive estimation in Capture-Recapture methods".

Dr Mark Bebbington (Massey University), "Computational methods for quasi-stationary distributions".

Professor Danny Pfeffermann (Hebrew University), "Testing distribution functions from complex sample surveys".

Dr Clifford Konold (University of Massachusetts), "Data scope".

Garry J. Tee



The planning for the new building continues, the design competition having generated a very attractive design. Final detailed plans are now being drawn up.

A lecturer level position in Applied Mathematics has been advertised and short listed candidates will be interviewed in August. See elsewhere in this issue for the advertisement for the Chair in Applied Mathematics at Canterbury.

Ian Coope is currently away on an Erskine fellowship visiting several Universities and attending some optimisation conferences. Peter Waylen has just returned from a study leave spent mostly at Monash. David Wall is away on study leave and is currently visiting Gerhard Christensen in Lund, Sweden.

Prof Chris Rodger of Auburn University was here from early May till mid-June supported by an Erskine fellowship. Chris was visiting Derek Breach.

Professor Jim Berger, from Purdue, is currently visiting on an Erskine Fellowship. The Statistics group has also been recently visited by Professor Bert Keats from Arizona State University and is currently being visited by Professor Wolfgang Polasek from Basel, Switzerland.


Professor Dan Tanberg, University of New Mexico, "How your doctor should think about diagnostic tests".

Rua Murray, Cambridge, "Chaos at Cambridge".

Dr David Glynn, "Representations of combinatorial structures in higher dimensional projective space over a field".

Professor Bert Keats, Arizona State, "A multi-purpose test of hypotheses for the characteristic value of the two parameter Weibull distribution".

Professor C Rodger, Auburn, "How to schedule a week of dinner parties".

Dr A. Panfilov, Utrecht, "Spiral waves in cardiac tissue".

Dr Frank Lad, "How big is your mathematics".

Dr Burkhard Polster, University of Erlangen-Nurberg and University of Canterbury, "Topological Hermite interpolation".

Professor Curt Lindner, Auburn, "Coding Theory made easy".

Dr Alan Andrew, LaTrobe, "Eigenvalues and eigenvectors of vector valued functions".

Professor Jim Berger, Purdue, "Unifying classical and Bayesian theory".

Rick Beatson



Biometrics. Patrick Connolly joined us earlier this year after completing a Diploma in Financial Mathematics at Victoria University. His first degree was in mechanical engineering. Melissa Miller has left us to work in market research. Her replacement is Marcus Davy, who is completing an M.Sc. in statistics at Auckland University.

John Maindonald.


Life at IRL has been very hectic lately, which is why there has been a lack of news recently. Once again we have been restructured, although the impact on the Applied Maths team should be minimal. The group we belonged to, Measurement and Mathematics, has been enlarged to the new Energy Division. As part of this restructuring, some staff in IRL have been made redundant. Consequently feelings of insecurity and uncertainty are easily stirred these days.

A review Applied Mathematics in IRL was commissioned jointly by FRST and IRL. This has not satisfactorily addressed many of the issues at hand, and negotiations with FRST are continuing.

Russ Boyles left in April to return to the US to start his own consultancy. He will continue to work on some projects with staff here. A new staff member was appointed to the OR section, but after accepting the appointment he decided to take a position in the US.

On the scientific front, the most notable feature has been the number of overseas trips. In May, Warwick Kissling, Graham Weir and Steve White attended the World Geothermal Congress in Florence. John Burnell and Steve attended the TOUGH users workshop in Berkeley. Roger Young and Steve had trips to Japan to work with colleagues on geothermal problems. Graham and John went to Australia and the US, respectively, to initiate contacts for a new project on flowing granular materials. Kit Withers has been visiting institutions in the UK and the US for the last two months. David Rhoades recently presented a paper at the IUGG in Colorado.

John Burnell



Inaugural Lecture: Professor Wolfgang Vogel, Massey University's Foundation Professor of Pure Mathematics, delivered his Inaugural Lecture, entitled "Appreciating Apollonius, 2000 years later" on 7 April this year to a large and appreciative audience.

Apollonius of Perga (c. 262-200 BC) was one of the finest mathematicians of the Hellenistic period. His work on conic sections is one of the great masterpieces of Greek geometry. However, some parts of his Book IV, dealing with questions about the intersection of these curves, are relatively little-known and unappreciated. For example, Sir Thomas Heath curtly describes Book IV as "dull", and van der Waerden's "Science Awakening" doesn't even mention it! However, the lecture explained that Apollonius's work on intersecting conics is the starting point of a line of research which still poses significant problems today.

The inaugural lecture discussed the methods used by Apollonius, and followed his works through the current mathematical research including some unpublished results of Professor Vogel.

Staff update: Congratulations to Glenda Anthony who has been awarded a PhD in Mathematics Education. Julie Falkner has now left for Canada. Dr Yow-Tzong Yeh started his Lectureship at the Albany campus at the beginning of the year; his research interests lie in group theory and mathematics education; he has recently been joined by Dr Shaun Cooper whose interests are in special functions and computational mathematics. Mr Derek Christie has joined the PN staff in a joint position as Tutor in the Mathematics Department and in the Certech programme. Richard Rayner, a software analyst with the Department, has left for Wellington; his much-valued technical skills, cheerful disposition and helpfulness have sadly been lost to us, but now become NIWA's assets. Alex McNabb, a Research Fellow with the Department for several years, will depart shortly for the University of Auckland where he takes up a similar position.

Post-doctoral fellow update: Dr Chikashi Miyazaki, who was working with Wolfgang Vogel, has now returned to Japan; Dr Yuji Kamoi has arrived to a similar position, working in algebraic geometry. Dr Simon Watt is currently working with Graeme Wake on dynamical systems with uncertainty (stochasticity), while Dr Soren Perry is expected in September from Bielefeld, Germany, to work with Mike Hendy on evolutionary trees. Dr Kumar Vetharaniam, an AgResearch Post-doctoral Fellow, will move to Auckland as part of the AgResearch Mathematical Biology Unit.

Shane Dye completed his PhD in Operations Research last December, "On a flexible model for New Zealand's hydrothermal electricity generation system". He and his wife Philippa are now in Norway, where Shane has a three-year post-doctoral position at the University of Trondheim, funded by Norwegian Telecom and supervised by Stein Wallace. Needless to say, the Dyes have been attending as many conferences in warmer countries as possible!

Staff travel/conferences: Marijcke Vlieg presented a paper surveying exact travelling wave solutions to the KdV-Burgers' equation at an international symposium, KdV '95, held in Amsterdam to commemorate the centennial of the publication of the famous equation named after Korteweg and de Vries. Robert McKibbin and Alex McNabb travelled to Florence to present papers on various aspects of mathematical modelling of geothermal systems at the 1995 World Geothermal Congress. Robert also presented a paper at a UNESCO-sponsored international congress at Monash University on engineering education/industry links. Graeme Wake was an invited speaker at conferences on mathematical modelling, one at Brunei University and the other, on natural resources modelling, at the University of Natal in South Africa. Fiona Taylor took part in the first international meeting, in Singapore, of INFORMS, the International Society for Operations Research and Management Science, talking about "Search-and-rescue problems".

Glenda Anthony attended an informative and interesting conference on teaching gifted secondary-level students, and presented a paper on "Learning strategies in Mathematics education" to a Maths Education Seminar Series at the University of Auckland. She has joined a research ream, based at the Auckland Maths Education Centre, involved with a "Mathematics curriculum change longitudinal investigation", and is also taking part in a project examining student perceptions of mathematics education.

Seminars: The Department has been fortunate to have had a steady stream of visitors from overseas and from within NZ. Most have presented seminars, and some of their research interests can be deduced from the seminar titles below. Another successful Mathematical Physics Seminar Series has been completed, the fourth to date; jointly organised by Dean Halford from Maths and Tony Signal from Physics, the annual series is proving a fine contribution to this multi-disciplinary area of teaching and research.

Scholar update: Shaun Hendy, who completed a 1st Class Honours degree in Mathematical Physics in 1992 at Massey, has just received a Canadian Commonwealth Scholarship. The Scholarship will support him in the final two years of his PhD studies at the University of Alberta in Edmonton, After completing his Honours degree, Shaun travelled to Canada to pursue a PhD in Theoretical Physics (in Relativity and Theory of Gravitation) under the supervision of Professor Valery Frolov in the Department of Physics at the University of Alberta. His initial studies were supported by a two-year teaching scholarship.

ANZIAM'96: New Zealand is to host the next ANZIAM (Australia New Zealand Industrial and Applied Mathematics) conference in Masterton in February 1996. Graeme Wake, who has also recently been elected for a term as President of ANZIAM (a division of the Australian Mathematics Society), is the Convenor of the meeting; Robert McKibbin and Adrian Swift are Secretary and Treasurer respectively. A conference notice can be found elsewhere in this issue.

8 x 10 glossies: Robert McLachlan followed up his cover of the Fall 1994 Mathematical Intelligencer with the cover of the October 1994 International Journal of Bifurcations and Chaos. Producing the computer graphics of three knotted tori, invariant under the flow of a certain differential equation, took him a happy morning playing with a Silicon Graphics workstation, followed by months and months of frustrating hassle trying to fix tiny glitches and get nice output. In New Zealand the journal has a combined circulation of 2.

Seminars at Palmerston North

Professor Michael D Hendy (Massey) "Linear invariants for some stochastic models of sequence evolution".

Professor I Tomescu (University of Bucharest) "Minimum spanning hypertrees".

Professor J Jaworowski (University of Indiana) "Grassmann manifolds".

Professor Robert Wisbauer (University of Dusseldorf) "Bimodule structure of algebras".

Professor David Gauld (University of Auckland) "Knots at Huia: The workshop and some topology that came out of it".

Dr Mary Barnes (formerly Sydney University) "The use of graphics calculators in teaching calculus".

Dr Rod Downey (Victoria University of Wellington) "Parameterized complexity".

Mathematical Physics

Professor Janez Stepio(s,[[breve]])nik (University of Ljubljana) "Random motion, velocity auto-correlations and measurement of diffusion by NMR".

Professor Graeme Wake (Massey) "A diffusion-reaction model for corrosion of zinc-coated steel under polymer paint films"

Mr Steve Shrimpton (Physics, Massey) "Renormalization of higher twist operators".

Associate Professor Dean Halford (Massey) "Tensors".

Dr Bruce van Brunt (Massey) "Nonlinear hyperbolic PDEs and the Cauchy-Kowalevsky Theorem".

Robert McKibbin

North Island 4, South Island nil

Although to you the World Wide Web might be just another medium by which NZ mathematicians can fail to talk to each other, some of us are being dragged kicking and screaming into the mid-1990s. The Auckland, Waikato, Massey, and Victoria departments now have their own home pages, and Auckland has graciously assumed the responsibility of pointing to these.

The main uses of the Massey page have been for locals to use as a starting place for internet access to maths resources, and for overseas job applicants to easily find out a little about us. So far NZ has not mounted anything like the impressive collection of information provided by the Australian Maths Society.

Massey & OJ Simpson

When I went to a conference at Stanford a few months ago it was brought home to me that the deluge of "America deluged with OJ Simpson stories" stories we were getting here did have a basis in fact. But even I would not have predicted that the august name of Massey University would ever be brought into play. The statistician Bruce Weir was on the staff of the then Department of Mathematics and Statistics for a time in the early 1970s. He then moved to the University of North Carolina, made a name as an expert trial witness, and was hired by the OJ Simpson prosecution. The short TV clip showed him filling a spreadsheet on a whiteboard with entries like "1 in 17.3 million chance".

I don't know if any NZ media had picked up the story at this point. Indeed, perhaps the news feeds only mentioned Dr Weir's nationality when one Monday morning he testified that he had checked his calculations over the weekend and found them to be seriously in error. Yoicks, that's a bit more publicity than you might get in J. Pure Appl. Stat. Any publicity is good publicity.

Robert McLachlan


Usually our mid winter news is of an exodus to the north, but this year we have an influx. Chuck Gates is coming from Texas A & M University, Ann Mitchell from Imperial College, and Govindaraja from Bharathier University, India. These three will be staying at the Palmerston North campus for the second semester.

One person is heading north. Over 4 months Siva Ganesh is visiting much of the Empire, with a few side trips.

Jeff Hunter's duties as Acting Dean cut back his Winter Escape to two weeks in Singapore - for two conferences and some Massey PR.

Megan Pledger has moved from Wellington to Auckland, but continuing her PhD and teaching duties in Palmerston North. She has become our WWW expert, and thanks to her efforts if you browse around http://www. massey.ac.nz/you will find out about the Department and see some attractive photographs of us and of Palmerston North.

We are half way through our first two term (that is, semesterized) year. Generally those in favour of the change think they are working well, others are not so sure. In the interested of educational research we should toss a coin each August to decide which of Palmerston North or Albany should teach in semesters the following year ...


Individuals are from the Statistics Department unless otherwise stated).

John Koolard, "Some results on discriminant analysis".

Richard Barker, "Single-stratum mark-recapture models with ancillary observations".

Charles Lawoko and Dick Harker (Social Studies in Education), "The application of an hierarchical linear model in the investigation of the effects of schools on student learning".

Mhairi McHugh, "A comparison of some different methods for modelling the future cost of state superannuation".

G. Ganesalingam, "Estimation of the mixing proportion in a mixture of two multivariate normal distributions".

Robin Milne (Department of Mathematics, University of Western Australia), "Simple derivations of properties of counting processes associated with Markov renewal processes".

Mark Bebbington, "Synthetics Seismicity Models".

Greg Arnold



I am afraid that, as usual, this correspondent is late getting the news together for the newsletter. As such, what I lack in detail I shall endeavour to make up for in brevity.

During the course of the first semester we were fortunate enough to have several visitors through the Department at various stages. Derek Holton has been visited by various colleagues in Mathematics Education, including Jim Neyland from Wellington, James Heddens from Florida and currently Warwick Evans from Bognor Regis. There have also been some more transient visitors in this field who have dropped by to contribute to a quite lively seminar series in Maths Education held here in the Department.

Martin Fricke from the University of Arizona in Tucson spent several weeks here working with Gerrard Liddell on a project on the use of diagrams in symbolic computation.

Professor Larry Zalcman from Bar-Ilan University in Israel visited Peter Fenton in March/April to work on Normal Families in Complex Analysis.

Currently visiting us after a period at the Universidad de Concepcion in Chile is Marti McCracken. Marti will be here until December and is teaching two Statistics courses.

Two postgraduate students have completed research degrees this year. They are: Mike Porteous with an MA on "Extendability of matchings in graphs", and Gareth Hegarty whose MSc was in "Symmetries of differential equations".

Gareth is currently presenting a seminar series in Algebraic Topology for staff and senior students in the Department.


While various seminars have been given during the semester in mathematics, mathematics education and statistics, this poorly organized soul has only the details of the statistics series at hand to include in this bulletin. A list of these talks follows.

Mike Paulin "System identification of apiking aensory neurons using realistically constrained time series models".

Laimonis Kavalieris, "Estimation of the Number of Periodic Signals".

Bryan Manly, "Do animal body size distributions have clumps?".

Ben Smith and J.B Wilson, "The measurement of species evenness: a buyer's guide and some problems".

Ken Dodds, "Genetic probabilities for farmed animals: exclusions and linkage efficiency".

Nikola Kasabov, "Learning, generalisation, approximation and adaptation in artificial neural networks".

Russell Millar, "Community assemblages of demersal fish on the Chatham Rise".

Peter Johnstone, "Ad hoc row columns designs".

Katrina Sharples, "For young statisticians".

When this contribution was put together about 200 were registered for the Aitken Conference to be held in Dunedin in the last week of August. Late registrations will be accepted from anyone wishing to attend but it is too late to give a talk. See you at the conference.

Robert Aldred


There have been a number of staff changes recently; some resignations, and some staff seconded to the Department's Information Technology project. We are currently recruiting replacements.

Dennis Trewin has returned to the Australian Bureau of Statistics. Mark Jones is now working in the Australian Bureau also. Minoo Meimand has resigned. Troy Kusabs and Bronwyn Anderson joined us in late January.

Visitors in the last 6 months have included John Zarb (from the ABS), John Rao, and Danny Pfefferman.

Sampling Statisticians have been busy with the 2 new surveys (Disability, and Post-Censal Estimation Survey) to be run after the Census.

Judith Archibald and Robert Templeton attended the Bureau of the Census Research Conference in Washington. Karen Wong, Gary Dunnet and Len Cook are off to the ISI in Beijing. Max Wigbout spent a month in Tonga giving a data analysis course for the South Pacific Commission.

Mike Doherty



John Harper is gadding about on sabbatical for eight months, mostly in the Earth Sciences Department, Cambridge, UK, with a short visit to UC Santa Barbara to warm up before returning to us at the end of January 1996.

Rob Goldblatt spent two weeks in May as a visitor to the Algebraic Logic group at the Mathematical Institute of the Hungarian Academy of Sciences in Budapest, where he gave lectures and held research discussions with colleagues and graduate students. The main topics of interest concerned equational classes of Boolean algebras with operators, especially ultraproducts in the theory of cylindric set algebras.

Geoff Whittle and Charles Semple (doing a masters with Geoff) went to a joint AMS, IMS, SIAM summer conference in matroid theory in early July at the University of Washington in Seattle. Geoff gave an invited talk. Charles presented a poster session entitled "Matroid representations over partial fields". En route they went to different parts of Canada - Geoff to Victoria BC, where one attraction was a five-day coast walk dodging bears and cougars, and Charles to Vancouver and Victoria.

Rod Downey was one of the two principal speakers at the COLORET II (COmplexity Logic and REcursion Theory) conference in beautiful Siena where he gave a series of 4 lectures in May. Then he visited the university of Victoria B. C. for a week. Rod is to give a plenary address on recursion theory and an invited lecture on theoretical computer science at Logic Colloquium 95 in Haifa Israel in August on his way to take up a visiting scholar position at Cornell until late December.

An Operator Theory Study Group for staff and senior students was set up and is running successfully. Vladimir Pestov is the coordinator and Geoff Thorpe (MSc student) is the permanent speaker.

Each year since 1992 Vladimir Pestov has been running an undergraduate seminar for 300-level students. This year the topic is topology, and Geoff Thorpe is assisting in running the seminar.

Irene and Vladimir Pestov (along with their two children) became Kiwi citizens in late May, in an amazing ceremony at the Town Hall.

Vladimir Pestov visited Israel for two weeks during the mid-year break. (His first overseas trip with a brand new NZ passport!) The host institutions were the Bar-Ilan University (located in Ramat-Gan, a suburb of Tel-Aviv) and the Ben-Gurion University of the Negev (Beer-Sheva). The visit, aimed at launching a new joint research program "Dynamics in Function Spaces" with two Israeli mathematicians (Dr A. Leiderman and Dr. M. Levy) was supported by a grant from the NZ Ministry for Research (International Science Linkages Fund), as well as by the two host Universities. Not only was Vladimir fascinated by the beauty of the Land of Israel and the courage and high-spiritedness of her people, but he became convinced that NZ and Israel share much more in common than it is usual to think and that our two countries could mutually benefit from stepping up cooperation in all areas, including maths research: in the wake of the recent wave of emigration from the disintegrating fSU, Israel stands out as a great mathematics power!

Sandra Chapman was farewelled a few months ago, when she handed in her Masters thesis with a sigh of relief, and she is now working for ACC in Wellington. Tina Nguyen left her part-time position in the office to work and study to be an actuary with Prudential in Wellington.

Finlay Thompson, who did his Honours at the department, was awarded a scholarship for PhD study at the International School for Advanced Studies (SISSA), Trieste, Italy. The competition was rather tough, and the main contender was a 19-year-old Russian woman who graduated from Oxford. Finlay leaves for Italy in October this year for three years. He will be doing his PhD research under the guidance of Professor Ugo Bruzzo.


Rod Downey, "The Chain-Antichain Principle, Ramsey's Theorem and Reverse Mathematics".

Marston Conder (Auckland), "Some Unexpected Results on Arc- and Path-Transitivity in Graphs and Digraphs".

W. Wistar Comfort (Wesleyan University, USA), "Recent Progress and Problems in Topological Groups".

Eugenia Schuchinsky (Wellington), "On Exceptional Values of Wiman Inequalities".

Jan Jaworowski (Indiana University), (1) "Maps of Spheres into Complexes of a Lower Dimension"; (2) "Grassmann Manifolds".

Charles Semple, "Matroid Representation Over Partial Fields".

Sean Oughton (University College, London), "Late-time states of 2D Navier-Stokes turbulence".

Megan Clark, "Raising Achievement of Pacific Island students in Mathematics and Statistics at VUW".

Chris Atkin, "Some ideas of Wojtynski on one-parameter subgroups".

M McGuinness





Our esteemed secretary Jan Stephenson departed in June and has been replaced by Angela Hayward (email now to ahayward@waikato.ac.nz or glenys@waikato.ac.nz) for all matters of consequence. Our senior tutor Guinivere Nalder has been appointed as the Design Power (Wellington) Hydrologist, having recently completed the work for her doctoral degree.

Paul Watson has completed his degree at DAMPT Cambridge with a thesis on "Convective MHD in sunspots" is now a research fellow in the department working on the magnetic field line reconnection problem. Professor Kalnins is on research leave in Russia but is expected back at the start of Semester II.

Professor Bridges spent three weeks in Europe, first giving a lecture to the Gödel Society in Vienna, and working there with Dr Karl Svozil (Institute for Theoretical Physics, Technische Universität Wien), and then moving on to Mangalia, Romania, to give some lectures to a Summer School of the Black Sea University.

The split into a Department of Mathematics and Department of Statistics has been approved by the Academic Board so will take place at the start of 1996. The chairperson has yet to be appointed. The Mathematics Department is to be reviewed with the principal focus being improved funding. A replacement Applied Mathematician for Ian Urch has been approved - see the advertisement elsewhere in this Newsletter or contact douglas@waikato.ac.nz.

Working Parties on our first year program, algebra program and internet usage are meeting. The Waikato participation in the Centre for Discrete Mathematics and Theoretical Computer Science has been approved. For information contact Douglas Bridges.

A Centre for Applied Mathematics and Theoretical Physics to formalize and enhance the relationship between physics and applied mathematics is going through the approval stages. Contact Ernie Kalnins.

The department has recently taken possession of an NT server which possibly divides correctly. Building G (Maths/Stats/Computer Sci/Info Tech Serv) is being rewired with higher speed cable.


T. Zamfirescu (University of Dortmund) "Adventures on a convex surface".

G. Richard (St Andrews University) "Coronal Heating by Resonant Wave Absorption: natural selection in action".

B. Allen (NIWA Wellington) "MHD Wave Research at NIWA".

F. Richman (Florida Atlantic University) "A circular argument".

N. Kamran (McGill University) "Quasi-exact solvability".

F. Richman (Florida Atlantic University) "Linear Transformations and Polynomials".

I. Hawthorn (University of Waikato) "Nice results from nasty functions".

Kevin Brougham