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January 2004

January 2004

THE MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

Forthcoming COUNCIL DIARY tions for a possible further 21 November 2003 new venture for LMS Society Publications, in the area of Meetings The first substantial item at Mathematical Biology. the November meeting was Stephen Huggett reported on 2004 the Treasurer’s business. arrangements for the then very Friday 20 February Council approved his report imminent International Review London for the Annual General of . All the back- D. Schleicher Meeting. It reported a (small) ground documentation was S.M. Rees rise this year in the Society’s now with the International ( fixed assets, in line with a Panel, and many of the venues Lecture) general rise in UK equities; had had dry runs. [page 5] welcome news after last year’s The President reported on 1 falls, but the Society contin- the production of the medal for Wednesday 12 May ues to review its investment the joint IMA-LMS David Nottingham policy. As has been the case in Crighton award; he showed Midlands Regional each of the last few years, the Council a plaster cast, which Meeting Society’s fortunes have been was agreed to be a very good significantly boosted by rev- likeness of David. Friday 18 June enue from its publishing activ- The Society welcomed a London ities. The Society also receives powerful ‘statement of con- Hardy Lecture income from rent of surplus cern’ that the Education space in De Morgan House, Secretary had prepared, based Friday 2 July and is looking for new ten- on the Society’s response to Newcastle ants as the current tenants the HEFCE consultation on Northern Regional are terminating their agree- Funding Mathematics in uni- Meeting ment. A number of possibili- versities. ties are under consideration, Council received reports Friday 17 September including some with organisa- from a number of its repre- Exeter tions with which we have sentatives on other bodies. South West & South some common cause. Ken Brown reported from the Wales Regional The relaunch of the journal Scientific Committee of the Meeting Compositio Mathematica is British Mathematical going full steam ahead, Colloquium, on plans to hold Friday 19 November advertised at a recent very further joint meetings with London successful meeting in the BAMC, on the increasingly Annual General Amsterdam, and at the AMS important problem of the cost Meeting meeting in Phoenix in of accommodation, and on January. The Publisher report- how a liability for VAT compli- ed on her recent investiga- cated the issue of a BMC THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

reserve fund. Tom Körner, our representa- moves. As it nears the end of this phase, LONDON MATHEMATICAL SOCIETY tive at the British Association for the the Society is more conscious than 2003-2004 COUNCIL Advancement of Science, reported that the before of the relationship between its Mathematics Section was in need of some income stream and the schemes it has to As a result of the annual election, membership of the Council is the following: boosting. It was recognised that the British support; it needs to be, as the mecha- Association provides a massive opportunity nisms for support of our main activity, President: Professor F.C. Kirwan FRS (Oxford) for media attention, and agreed that this namely research, are changing at many Vice-Presidents: Professor A.G. Chetwynd (Lancaster) would be an appropriate job for the new levels. Professor A.J. Scholl (Cambridge) Mathematics Promotion Unit. As the meeting moved towards its Treasurer: Dr N.M.J. Woodhouse (Oxford) The report of the General Secretary end, it was time for the President to General Secretary: Professor N.L. Biggs (LSE) sparked off an extensive discussion on thank those members of Council whose Programme Secretary: Dr S.A. Huggett (Plymouth) the aims of the Society and its relation- last meeting it was, and especially Chris Publications Secretary: Professor J. Howie FRSE (Heriot-Watt) ship with the IMA; a joint LMS/IMA Lance, who had been Publications Education Secretary: Dr W.B. Stewart (Oxford) working group has been considering this Secretary since 1996 during a period of Members-at-Large: Professor I.D. Abrahams (Manchester) relationship, and it is now proposed that major expansion the Society’s publishing Professor M.R. Bridson (Imperial College London) we should step up a gear and embark on activity. Then Tony Scholl closed the Professor C.J. Budd (Bath) a more thorough investigation of the meeting with his thanks to the Dr R.D. Camina (Cambridge) ways in which the two societies might President. He had only been in office for Professor R.T. Curtis (Librarian) (Birmingham) 2 work together on issues which are rele- one year, leaving early to take up his Dr P.J. Davies (Strathclyde) 3 vant to both. As a starting point we new appointment at the Institute for Professor M.M. Dodson (York) would need to examine in detail the Advanced Study in Princeton, but, as Professor A.M. Etheridge (Oxford) aims of the LMS. In recent years much Tony put it, rather than take time to get Professor K.J. Falconer FRSE (St Andrews) has changed. The LMS has been going up to speed as President, he had started Sir John Kingman FRS (Isaac Newton Institute) through a period of evolution, during his post with us with rocket boosters on, Dr S.E. Rees (Newcastle) which the acquisition of De Morgan and so had more than made up for his Dr F.A. Rogers (King’s College London) House and the appointment of an short tenure. Executive Secretary have been key Sarah Rees TREASURER'S REPORT TO (£68,900) to cover grants that have been awarded but which will not be claimed THE ANNUAL GENERAL immediately; and the Special Activities LMS Newsletter MEETING 2003 Reserve (£23,222) to hold gifts and bequests. The level of reserve funds, and their purpose, General Editor: Dr D.R.J. Chillingworth ([email protected]) In the financial year 1 September 2002 to 31 will be reviewed in January. Reports Editor: Dr S.A. Huggett ([email protected]) August 2003 the Fixed Assets of the Society It has been another good year for the Reviews Editor: Professor M.P.F. du Sautoy ([email protected]) rose in value from £9,556,871 to £9,819,351. Society’s publishing activities, which generat- Administrative Editor: Miss S.M. Oakes ([email protected]) The rise is welcome after the sharp fall last ed a welcome surplus of £558,560, the drop Editorial office address: London Mathematical Society, De Morgan House, year, and reflects a general rise in UK equi- from last year being almost entirely due to 57-58 Russell Square, London WC1B 4HS (tel: 020 7637 3686; fax: 020 7323 3655; ties. the start-up costs of Compositio. The surplus email: [email protected], web: www.lms.ac.uk) The Building and Development Reserve is the result of good management rather Designed by CHP Design (tel: 020 7240 0466, email: [email protected], web:www.chpdesign.com) Fund was unchanged over the year, and than excessive profit taking, but provides an Publication dates and deadlines: published monthly, except August. stands at £500,000. The Printing and essential contribution to the resources need- Items and advertisements by first day of the month prior to publication. Publication Reserve Fund fell by £55,413 to ed to pursue the Society’s charitable objects. Information in the Newsletter is free to be used elsewhere unless otherwise stated; attribution is £1,144,587, after a planned withdrawal to The total expenditure of the Programme requested when reproducing whole articles. The LMS cannot accept responsibility for the accuracy meet the start-up costs of the journal Committee, Research Meetings Committee, of information in the Newsletter. Nor do views expressed necessarily represent the views or policy Compositio. Two new reserve funds were Computer Science Committee, Women in of the London Mathematical Society. Charity registration number: 252660. established, the Grants Payable Fund Mathematics Committee, and Education THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

Committee was very much the same as last ANDREI BOLIBRUKH year at £296,895, but other grants and expenditure in furtherance of the objects of Academician Andrei Bolibrukh died on 11 LONDON MATHEMATICAL SOCIETY the Society fell back some £40K to the level November 2003 after a long illness, at the age of 2000-01, having increased by roughly this of 53. Professor Bolibrukh was appointed as the MARY CARTWRIGHT LECTURE amount last year as a result of grants for Editor of Izvestiya Mathematics in 2002 and he the Mathematical Olympiad and for the was a very welcome newcomer to the collabo- Friday 20 February 2004, University College London ICM in Beijing. ration that the Society has with the Russian 3.30 – 4.30 Professor Dierk Schleicher (Bremen) Total ordinary membership increased mar- Academy of Sciences on the translation of this Understanding Complex Dynamical Systems and their ginally by 5; there was a sharp increase in journal. His contribution to the management Parameter Spaces associate membership from 43 to 138, reflect- meetings that took place this summer in 4.30 – 5.00 Tea ing the success of the EPSRC scheme to pay Moscow was clear and incisive and gave an indi- 5.00 – 6.00 Mary Cartwright Lecture the cost of membership for EPSRC-funded cation of his value to Russian mathematics as Professor Mary Rees (Liverpool) research students. Subscription income rose one of the internationally distinguished mathe- The Topographer’s View of Parameter Spaces from £47,070 to £52,406; expenditure on maticians who chose to work in . He was direct services to members was steady. Deputy Director of the Steklov Institute. The two talks by Mary Rees and Dierk Schleicher will discuss parameter spaces Management and Administration costs Bolibrukh applied modern methods of complex which arise in complex dynamical systems: each point in such a parameter rose from £503,472 to £541,677. The rise analytic geometry to classical problems about space represents a different , and different parameters are 4 reflects an increase in salary costs, other ordinary differential equations and was a lead- distinguished by the different features which the corresponding dynamical 5 smaller changes largely cancelling out (a rise ing expert on Hilbert’s 21st problem. After systems might have. This gives interesting structure to parameter spaces. One in IT costs, a fall in electricity costs, and a fall doubts had been raised in the 1970s about often finds that a relatively small class of dynamical features yields a good in travel costs for officers, Council, and com- J. Plemelj’s 1908 solution, Bolibrukh published understanding of the entire parameter space. mittees). Last year, travel costs were inflated the first counterexample in 1989; his work also by the ICM in Beijing. gave correct proofs in many cases. The first talk, Understanding Complex Dynamical Systems and their Parameter Overall, the news is positive, certainly in con- Spaces by Dierk Schleicher, will provide some examples of parameter spaces, trast to last year. There are no dramatic changes LMS-IMA WORKING of different dynamical features and how they help to distinguish different to report, but Council is aware of the Society’s dynamical systems. The rigidity given by complex differentiability of the maps reliance on its publications surplus, and is con- GROUP allows us to translate many questions into the realm of symbolic dynamics. We cerned about future developments in this area Representatives of the LMS and IMA now will illustrate the rich interplay between complex dynamical systems, symbolic as electronic publishing becomes more wide- meet regularly to discuss ways in which the dynamics, and combinatorial models in a number of cases. spread and efficient. I would like to thank two organisations can co-operate for the Ephrem Belay, Susan Oakes and Peter Cooper good of the mathematical community. A In the second talk, Mary Rees will concentrate on some parameter spaces of for their tireless work and support. meeting took place on 19 September 2003 quadratic rational maps, and will describe the topographer’s view of these N.M.J. Woodhouse and this joint report, the second in the series, spaces, one of the subjects in a forthcoming Astérisque volume (288). This is Treasurer is provided for the membership of both soci- essentially a geometrization theorem for a larger space of maps. It is a recur- eties. ring theme in dynamics that purely topological information has a considerable ROYAL GOLD MEDAL 1. It was reported that the design and strik- bearing on dynamical behaviour, not only on the level of individual maps, but ing of the David Crighton Medal was pro- also on the level of parameter spaces. The large influence of critical points in The Royal Society of Edinburgh awards the ceeding via Fattorini’s; a plaster cast would complex dynamics is related to this. Royal Gold Medal in recognition of intellectual be available for viewing by Johanna endeavour which has had a profound influence Crighton, and others representing the two There are limited funds available to contribute in part to the expenses of on people’s lives, world-wide. Amongst those organisations. It was proposed that the members of the Society or research students to attend the Society meeting. recently awarded the Royal Gold Medal was Sir award be presented to the 2003 recipient, Requests for support, including an estimate of expenses, may be addressed to , OM, FRS, for his profound and John Ball, at the IMA Presidential Address the Programme Secretary at the Society (web: www.lms.ac.uk; email: beneficial effect in the development of mathe- on 23 June 2004, an open event, followed [email protected]). matics and science in the UK and Europe. by a reception. THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

2. In discussion of the roles played by the IMA • The LMS Council is considering propos- and the LMS in support of conferences sev- als to establish an International Affairs eral points were made, including: Committee, to bring together the • Unlike the LMS, the IMA processes Society’s international activities. The conferences to recover all costs and IMA will be asked to nominate a mem- this policy can lead to perceptions ber to the new committee, as it had for that the IMA is less ‘charitable’ than the former IMU Advisory Committee. the LMS. 4. Future strategy for LMS-IMA relations was dis- • Groups of IMA members run confer- cussed, and the following points were made: ences from their own organisations • It was undoubtedly beneficial for the and often receive support from the mathematics community that the two LMS. It was noted that the IMA had organisations were meeting to discuss recently introduced a modest confer- issues of common interest. No matter ence grant scheme aimed at addressing what longer-term outcome, it was the same need. agreed this level of communication • The LMS feels the need for smaller low- should be maintained. cost meetings and sees no reasons to • There are clearly strong reasons for amend the basis of its support. looking at closer collaboration, not 6 • Outside the academic sector, it was less least in terms of external perceptions 7 easy for members to draw on their own of mathematics and our ability to influ- organisations to facilitate low-cost ence policy-formers. meetings. However in many cases the The meeting agreed to propose that: higher registration fee was accepted • the Councils should aim to establish, by discus- by the membership as reasonable. sion among their members, a view within two • Further opportunities for collaboration years on the direction and speed of change in between the two societies exist, sepa- long-term relations between the two bodies; rate from their role in facilitating meet- • a group (or two linked groups) should be ings organised by the mathematics established to draw up a consultation community itself. For example there is a paper, looking at the ways the two organ- wide range of meetings being arranged isations could best benefit mathematics by across mathematics for different partic- various structural arrangements; ipants. The two societies, in attempting • no matter what the outcome, the links to support meetings in different parts between the LMS and IMA should be main- of this multidimensional spectrum, tained and enhanced. were broadly complementary. Norman Biggs 3. Links with overseas and international organi- Charles Evans sations and mathematicians were discussed. • Both organisations have overseas NOTE FROM THE GENERAL members and their journals are distrib- uted throughout the world. The LMS SECRETARY has reciprocity agreements with some On 21 November 2003 the LMS Council dis- equivalent societies overseas. Other cussed the proposal referred to in Item 4 of opportunities for international collab- the report printed above. Council agreed to oration exist. For instance, neither the proposal in principle, and the details are body at present has formal links with currently under discussion with the IMA. Australia. Norman Biggs THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

ANNUAL LMS SUBSCRIPTION to discontinue the supply of periodicals and the Newsletter to members whose 2003-04 subscription remains unpaid by 31 The Society is appreciative of those mem- January 2004. The methods of payment bers who have paid their 2003-04 sub- are either by a sterling cheque drawn on scriptions. May we remind those who a UK bank; a US$ cheque drawn on a US have not yet paid that subscriptions were bank, direct debit or credit card. If you due on 1 November 2003. Prompt pay- have misplaced your renewal of subscrip- ment ensures continuity of publications tion form, contact the LMS office (email: and avoids the need for time-consuming [email protected]; tel: 020 7637 reminders. The Society reserves the right 3686; fax: 020 7323 3655).

Individual members 2003–04 rates

Subscriptions £ US$

Ordinary 30.00 60.00 8 9 Reciprocity 15.00 30.00

Associate 7.50 15.00

European Mathematical Society 16.00 32.00

Publications

Bulletin Volume 36 30.00 60.00

Journal Volumes 69 & 70 60.00 120.00

Proceedings Volumes 88 & 89 60.00 120.00

JCM (electronic) Volume 7 free free

Nonlinearity Volume 17 – except North America 44.00 – North America 110.00

Journal of Applied Probability Volume 41 43.00 86.00

Quarterly Journal of Mathematics Volume 55 90.00 165.00

Math. Proc. Camb. Phil. Society Volumes 135 & 136 82.75 165.50

Glasgow Mathematical Journal Volume 46 45.00 90.00

Journal of the European Mathematical Society Volume 6 30.00 60.00 THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

SCHEME 7 LMS COMPUTER cations of 30 September, 31 January and 31 research in other disciplines and industry/busi- Social Responsibility statement setting out May. Awards will be restricted to one award ness. However, they felt that there was still a our policy on these types of issues. SCIENCE SMALL GRANTS in any given academic year (September to need to continue to improve these interactions The next item on the agenda was EPSRC’s The aim of the scheme is to provide small August) and in the event of oversubscriptions and this will remain a priority for the pro- funding of Statistics. The resources that have grants to individual LMS members within the in any particular round, applicants who gramme. The panels were concerned about been included within the doctoral training United Kingdom to help support a visit for receive an award in the previous academic the demographics of the academic community, accounts to enhance the stipends of PhD stu- collaborative research at the interface of year will not be considered. Please send the particularly in statistics, where the shortage of dents in statistics and operational research were Mathematics and Computer Science, either grant application to Frances Spoor, researchers is beginning to impact on other welcomed. In 2004, additional resources will be by the grantee to another institution within Administrative Officer, London Mathematical disciplines. More generally, TOP and UP were provided to the Mathematics Programme to the UK or abroad, or by a named Computer Society (email: [email protected], tel: 020 7291 keen that EPSRC should continue to find ways continue to provide enhanced stipends in these Scientist or Mathematician from within the 9979, fax: 020 7291 9978). to overcome the conservatism of applicants shortage areas. Some suggestions for novel UK or abroad to the home base of the and peer review, that all programmes should forms of doctoral training in statistics were grantee. A visit to investigate the potential EPSRC MATHEMATICS PRO- give more attention to public engagement made. The SAT suggested that the International for a research grant proposal to an interdisci- activities and that universities should be Review should provide some indication of the plinary initiative would also be a legitimate GRAMME STRATEGIC ADVI- encouraged to make full use of the flexibility quality of statistics research in the UK compared request. The time available for joint research SORY TEAM afforded by doctoral training accounts. with international standards. It felt that both arising from the grant is expected to be sev- At its October meeting, Council considered EPSRC and the Royal Statistical Society have a eral working days. The maximum sum avail- The Maths SAT met for the fourth time on 12 the advice from TOP and UP. It also discussed role to play in engaging with the research com- 10 able is £500 and, where necessary, grantees November at Polaris House, Swindon. The a preliminary proposal from the office for munity and encouraging internationally leading 11 will have to cover further costs from other team received an update on the Balance of reallocating resources based on the cross-pro- statisticians to participate in EPSRC’s responsive sources such as departmental or personal Portfolio exercise following the September gramme bids. Following these discussions, the mode and its peer review process. funds meetings of Council’s advisory panels TOP office will present a full proposal to Council in The head of EPSRC’s international section, The intention is to provide sufficient funds (Technical Opportunities Panel) and UP (User December, detailing suggested resource allo- Jane Sykes, joined the SAT meeting for a discus- so that the call on other sources is held with- Panel). There is a biennial planning cycle cations to individual programmes for 2004-05 sion of EPSRC’s International Strategy and the in manageable bounds. Applications should that focuses, on alternate years, on pro- and 2005-06. This will be accompanied by an UK requirements for Framework Programme 7. be in the form of a letter setting out the pro- gramme assurance and on longer-term pro- analysis of the new activities these allocations Some data on the uptake of EPSRC schemes to posed academic case for the visit, including a gramme strategy. 2003 is a strategy year dur- will enable and the impact of the proposed support international collaborations was pro- description of a specific project, an explana- ing which TOP and UP provide advice to the allocations on existing activities. vided – not surprisingly, the Mathematics com- tion of how the proposed research lies at the Chief Executive and Council on financial pri- Once the resource allocations and the business munity is one of the largest users of the overseas interface of Mathematics and Computer orities and provide guidance to Programme plans have been finalised and approved by Council travel grant and visiting fellowship schemes. Science, the standing of the collaborator and Managers on future strategic directions. they will be published on the EPSRC website. The final item on the agenda was dissemina- an estimate of costs. Whilst a reasonable In September, TOP and UP considered the The SAT had an interesting discussion on tion of research grant outcomes and knowledge level of detail is desirable, an application fit between the core portfolio and Council’s the issue of scientific ethics and public trust. transfer. The SAT provided some feedback on the should not be excessively long, and the docu- strategic objectives as set out in the EPSRC EPSRC needs to take appropriate steps to schemes that were most useful for these types of mentation should run to at most three A4 Strategic Plan. They also reviewed a number ensure that research proposals are assessed activities and suggested ways that knowledge pages. Applicants should bear in mind that of cross-programme proposals to build on fairly and without bias and that funding is transfer could be made more effective. the purpose of the Scheme is to support spe- the core portfolio and optimise the alloca- distributed in accordance with clearly articu- Finally, the SAT endorsed the change of name cific projects with named collaborators and tion of resources within the current baseline. lated principles. The scientific community of the programme to the Mathematical Sciences not, for example, simply to contribute to the The feedback on the quality of research also should address ethical concerns about its Programme from 1 January 2004. costs of a sabbatical visit. being supported by the Mathematics research to retain the support of society and As always, the Mathematics Programme A brief report on the use of the grant is Programme was very positive and the views of the freedom to explore and develop new would be happy to receive feedback from the expected: this should describe the academic the International Reviews of Mathematics and areas of science. We would be happy to wider mathematics community on any of the outcome of the visit, together with very brief of Operational Research are awaited with receive suggestions of any areas of research issues that were discussed. financial details. Grants will be awarded interest. The panels endorsed the work that within EPSRC’s remit where ethical concerns Dr Annette Bramley three times annually, in October, February the programme has done to encourage con- may arise. The SAT also suggested that EPSRC EPSRC Programme Manager, Mathematics and June, with respective deadlines for appli- nectivity between mathematicians and users of should have the equivalent of a Corporate THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

MATHEMATICAL SCIENCES service overseas can be discounted, but Application and Processing (e-GAP) system forms must be received on or before 27 The New Name for EPSRC’s teaching experience and/or time spent in (https://e-gap.royalsoc.ac.uk, or via the e-GAP February 2004. Appointments to the Mathematics Programme industry since the award of a PhD should be logo on the front page of the Society’s web- Fellowship will be made during June 2004. included in the total amount of postdoctoral site). Applications can no longer be submit- The full regulations, and application form, On 1 January 2004, the Mathematics experience. Part-time work will be counted ted on paper. If you would like any further can be found at: www.royalcommis- Programme became the Mathematical pro rata. information on these schemes, about the e- sion1851.org.uk/res_fellow.html. Sciences Programme. ‘The aim of the University Research Fellowships are open GAP process, or the submission of your appli- change’, said the programme manager, Dr only to European Union citizens who are cation, please contact the Research VISIT OF PROFESSOR YURI Annette Bramley, ‘is to reflect better the either currently employed in the UK or, if not Appointments Department, The Royal breadth of research and training activities employed, have at some time been resident Society, 6-9 Carlton House Terrace, London MAISTRENKO AND DR supported by the programme. The portfolio in the UK for a continuous period of three SW1Y 5AG (tel: 020 7451 2545, email: e- OLEKSANDR POPVYCH now includes a significant component at the years other than for the sole purpose of [email protected]). interfaces with other disciplines, and encom- receiving full-time education. Persons hold- Professor Yuri Maistrenko and Dr Oleksandr passes statistics and operational research as ing a permanent post in a European Union ROYAL COMMISSION FOR Popvych (National Academy of Sciences, well as mathematics.’ university will not be considered. Ukraine) will be visiting Dr Peter Ashwin The way the programme operates will not Length of tenure: Appointments are ten- THE EXHIBITION OF 1851 (University of Exeter) for a period during change and it will continue to support pro- able for five years in the first instance (possi- Research Fellowship January 2004. During this time they will be gramme-specific activities such as the small bly renewable in instalments up to a maxi- The scheme of 1851 Research Fellowships is working with Dr Ashwin on problems related 12 grant scheme, workshops and post-doctoral mum of 10 years) and will be available from intended to give a few young scientists or to synchronizations, especially applications 13 fellowships alongside its support for research 1 October 2004. engineers of exceptional promise the oppor- to coupled map systems. Their visit to the UK grants through responsive mode and a small Place of tenure: Fellowships must be held tunity for conducting research for a further is supported by LMS Scheme 2 (Maistrenko) number of managed activities. in a UK university. period of two years. Approximately six and Scheme 4 (Popovych) grants. Professor Value: Research fellows are paid on the awards are made each year. Maistrenko will give talks at Exeter, ROYAL SOCIETY UNIVERSITY non-clinical academic and academic-related Candidates in science subjects must normal- Bristol and UMIST; at the time of writing staff (Lecturer A and B) salary scale which cur- ly be in possession of a PhD degree, or in the these have not yet been scheduled. For RESEARCH FELLOWSHIPS rently runs from £22,191 to £33,679. Starting final stages of their PhD studies. Candidates details please check the webpage 2004 salaries will be set at a point on this scale, offering engineering do not have to be in www.maths.ex.ac.uk/Research/applDSC/even with London Allowance where appropriate, possession of a PhD, but must be of at least ts.html or contact [email protected]. Applications are invited for appointments and will rise incrementally each year. A limit- PhD standard. The Fellowships are open to tenable from 1 October 2004. The ed number of merit increments will be candidates in any of the physical or biological PERCY ALEXANDER Fellowships are funded, largely through a awarded each year to reward outstanding sciences, in mathematics, in applied science, parliamentary grant from the Office of performance. Annual research expenses (up or in any branch of engineering. MACMAHON Science and Technology, for research in all to a maximum of £13,000 for the first year The Fellowship stipend payable in 2004 is 150th Birthday Celebration the natural sciences (including agriculture, and £11,000 thereafter) will be available £21,700 for the first year, and £22,800 for the A meeting to celebrate Percy Alexander mathematics, health and human sciences, together with relocation expenses and a con- second year. In addition a London Weighting MacMahon’s 150th birthday will be held on technology and engineering). This scheme tribution to baggage costs for successful of £2,134 per annum is payable in appropri- Thursday 23 September from 13:30 to 17:00, at aims to provide outstanding scientists, who applicants from overseas and their families. ate cases. the Open University Centre for the History of should have the potential to become leaders Number offered: Varies. Around 30 avail- A candidate must be British or a citizen of the Mathematical Sciences. The speakers will in their chosen field, with the opportunity to able for 2004. the British Commonwealth or of the be George Andrews of Penn State University build an independent research career. Closing date: 9 January 2004. Past experi- Republics of Ireland or Pakistan, and should and editor of MacMahon's Collected Works, Eligibility: Applicants must have a PhD or ence suggests that the results of the compe- preferably be less than thirty years old. Keith Lloyd of Southampton University, David equivalent research experience, and must tition will be available about five months Candidates must be recommended by Singmaster of South Bank University, and Paul have at least two and not more than seven after the closing date. Please note that inter- Professors or Heads of Departments of Garcia of the Open University. There will be a years’ full-time postdoctoral experience by 1 views are not held for these fellowships Universities or other Institutions of equiva- small exhibition of MacMahon memorabilia. October 2004. Career breaks such as materni- Applications can only be submitted online lent status in the United Kingdom. For further information, email Paul Garcia ty leave, EU national service and voluntary on the Royal Society’s new electronic Grant Recommendations made on the prescribed ([email protected]). THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

SMS-NATO ADVANCED MATHEMATICS ACTIVITIES SUMMER INSTITUTE AT ICTP IN 2004 Summer School School on Commutative Algebra and The SMS-NATO Advanced Summer Institute Interactions with Algebraic Geometry and Summer School on Morse Theoretic Methods in Combinatorics (24 May - 11 June) Non-linear Analysis and Symplectic Topology Directors: A. Simis (Universidade Federal de will be held from 21 June - 2 July at the Pernambuco, Recife, Brazil), N.V. Trung Université de Montréal, Canada. The following (Academy of Sciences of Vietnam, Hanoi, is a partial list of subjects to be covered : Vietnam), G. Valla (Università di Genova, • Floer homological methods in symplectic Italy). 10 January 2004 deadline for request- topology; ing participation. Details available from: • Lagrangian geometry and topology; http://agenda.ictp.trieste.it/smr.php?1563 • Analysis behind symplectic field theory; • Generating functions and applications; Summer School and Conference on • Morse theory, graphs, and loop spaces; Dynamical Systems (19 July - 6 August) • Homotopy theoretic tools in finite and Directors: M. Viana (IMPA, Brazil), J.-C. infinite dimensional Morse theory; Yoccoz (Collège de France). Honorary 14 • The Morse complex for infinite dimension- Directors: J. Palis (IMPA, Brazil),Ya. Sinai 15 al manifolds; (Princeton University & Landau Institute, • The Conley index in Hilbert spaces with Russia). 15 March 2004 deadline for request- applications; ing participation. Details available from: • Topology of robot motion planning. http://agenda.ictp.trieste.it/smr.php?1573 The Invited Speakers are: • Alberto Abbondandolo (Scuola Normale di Advanced School & Conference on Non- Pisa) Commutative Geometry (9 - 27 August) • Paul Biran (Tel-Aviv) Directors: O.A. Laudal (University of Oslo, • Ralph Cohen (Stanford) Norway), C. Procesi (Università ‘La Sapienza’, • Octav Cornea (Montréal) Rome, Italy), M. Van den Bergh (Limburgs • Michael Farber (Tel-Aviv) Universitair Centrum, Diepenbeek, Belgium). • Kenji Fukaya (Kyoto) 28 February 2004 deadline for requesting • Helmut Hofer (Courant Institute) participation. Details available from: • Marek Izydorek (Technical University of http://agenda.ictp.trieste.it/smr.php?1576 Gdansk) • Yong-Geun Oh (Madison) The Adbus Salam International Centre for • Leonid Polterovich (Tel-Aviv) Theoretical Physics (ICTP) was founded in • Matthias Schwarz (Leipzig) 1964 by Abdus Salam (Nobel Laureate). ICTP • Claude Viterbo (École Polytechnique) operates under the aegis of two United The application deadline is 8 March 2004. For Nations agencies: UNESCO and IAEA and is further information and an application form regularised by an agreement with the contact: Diane Bélanger, SMS Coordinator, Government of Italy which provides the Département de Mathématiques et Statistique, major part of the Centre’s funding. One of Université de Montréal, CP 6128 succ Centre- the main aims of ICTP is to foster the growth Ville, Montréal QC H3C 3J7, Canada (email: of advanced studies and research in the [email protected]) or visit the web- developing countries. For further informa- site (http://www.dms.umontreal.ca/sms). tion visit the website www.ictp.trieste.it/. THE LONDON MATHEMATICAL SOCIETY

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16 17 THE LONDON MATHEMATICAL SOCIETY

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LONG-STANDING MEMBERS WIDENING PARTICIPATION school teachers. A number of alternative entry routes like HNDs and foundation degrees are pro- The following is a list of mathematicians who have completed fifty years or more of mem- IN MATHEMATICS, STATIS- filed. There are also a few examples of recruitment bership of the London Mathematical Society. TICS AND OPERATIONAL aimed at specific groups of people. The section on retention looks at matching the 12/12/1929 Wright, E.M 17/06/1948 Bateman, P.T. RESEARCH curriculum to the student intake, student support 04/02/1932 Potter, H.S.A 18/11/1948 Mullender, P. Widening participation has been a concern mechanisms and facilities as well as retention in the 13/12/1934 Meyler, D.S 13/12/1948 Fishel, B. for mathematics related subjects for some USA, retention in FE and improving student 16/12/1937 Pitt, H.R. 20/01/1949 Borwein, D. time as this discipline area continues to expe- achievement in English Higher Education. 08/02/1940 Kendall, D.G 17/03/1949 Kilmister, C.W. rience recruitment problems and there are This booklet is the latest in the occasional 09/05/1940 Willmore, T.J 28/04/1949 Austin, M.C. not enough graduates with mathematics series produced by the LTSN Maths, Stats & OR 17/12/1940 Good, I.J. 17/11/1949 Northcott, D.G. related degrees to meet industry's demands. Network under the heading Learning and 17/03/1943 Dyson, F.J. 15/12/1949 Godwin, H.J. The Mathematics, Statistics and Operational Teaching in Mathematics, Statistics and 15/06/1944 Williams, A.E 19/01/1950 Shepherdson, J.C. Research (MSOR) community has already done a Operational Research (ISSN 1476-1378). The 25/01/1945 Collard, K. 16/02/1950 Lehner, J. lot of work in this area. Links have been devel- other titles in the series are: Post-sixteen 25/01/1945 Ollerenshaw, K. 23/03/1950 Ponting, F.W. oped with schools and the general community, Mathematics within Curriculum 2000, 17/05/1945 Henstock, R. 15/06/1950 Ackroyd, R.T. and there have been a number of alternative Guidelines for Introducing Group Work in 28/06/1945 Tropper, A.M. 14/12/1950 Patterson, E.M. entry routes provided such as HNDs, foundation Undergraduate Mathematics, Good Practice in 18 13/12/1945 Rogers, C.A. 19/04/1951 Chen, D.L.C. degrees and bridging courses to prepare stu- the Provision of Mathematics Support Centres 19 25/04/1946 Goldie, A.W. 17/05/1951 Roth, K.F. dents for degree work. (2nd ed), Flexible Learning in Statistics. 25/04/1946 Rothman, M. 14/06/1951 Jackson, M. Students are being supported by a range If you would like a copy of any of these 23/05/1946 Huppert, E.L. 14/06/1951 Ledermann, W. of appropriate and flexible curricula. A num- booklets, please contact the LTSN Maths, 23/05/1946 Rees, D. 20/12/1951 Dowker, Y.N. ber of new learning and teaching method- Stats & OR Network (tel: 0121 414 7095, 19/12/1946 Higman, G. 20/12/1951 Herszberg, J. ologies are being employed. In addition, email: [email protected]). Electronic 19/12/1946 Ruston, A.F. 17/01/1952 Boyd, A.V. modes of study have been adapted to cater versions are also available via 16/01/1947 Macbeath, A.M. 17/01/1952 Wilson, D.H. for the differing needs of students. There is http://ltsn.mathstore.ac.uk/publications/index.shtml. 20/02/1947 Hay, G.E. 14/02/1952 Utz, W.R. also considerable evidence that the students 20/03/1947 Hayman, W.K. 15/02/1952 Shephard, G.C. that have been recruited from this wider 22/05/1947 Ghaffari, A. 20/03/1952 Bonsall, F.F. pool are realising their potential. 19/06/1947 Cassels, J.W.S. 20/03/1952 Swinnerton-Dyer, H.P.F. These are the conclusions presented in the 27/11/1947 Hilton, P.J. 20/11/1952 Knight, A.J. booklet Widening Participation in Mathematics, 18/03/1948 Burkill, H. 18/12/1952 Reeve, J.E. Statistics and Operational Research, by Bill Cox 18/03/1948 Isaacs, G.L. 18/12/1952 Taunt, D.R. (Aston University) and Penny Bidgood (Kingston 18/03/1948 Reade, M.O. University), which has just been published by the LTSN Maths, Stats & OR Network. The booklet examines how lecturers have responded to DEADLINES REMINDER widening participation, identifies good practice and sets out to disseminate it to the wider com- 9 January Royal Society University Research Fellowships 2003 applications munity. It contains over 30 different case studies 16 January , Senior , Naylor Prize, Fröhlich Prize, from a wide range of higher education institu- Whitehead Prizes nominations tions. It groups these under three main headings: recruitment, retention and realising potential. 31 January LMS annual subscription payments The examples of practice cover a wide range of 4 February Cecil King Travel Scholarship applications outreach activities such as improving links with schools and colleges, publications for school chil- 27 February Royal Commision Research Fellowship applications dren and providing support and materials for © Sidney Harris THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

DEVELOPING LINKS AMS PRESIDENT-ELECT ROYAL INSTITUTION Masterclasses Organisers’ Meeting in 1985, the Gallery’s second and last year of operation. BETWEEN TEACHING AND Professor James G. Arthur of the University DISCOURSE This led to some of John’s maquettes being RESEARCH of Toronto has been elected as President- David Acheson, one of this year’s LMS presented at the Royal Institution in 1988 and Elect of the American Mathematical Popular Lecturers, was the speaker at a Royal 1992, for Discourses of Sir Michael Atiyah and A Day Break Workshop on Developing Links Society (AMS). He will officially assume this Institution Discourse on 31 October 2003. As of Ronnie Brown, and to full size sculptures between Teaching and Research, organised office on 1 February 2004. One year after ever, David gave an excellent talk, entitled being shown at the Pop Mathematics by LTSN Maths, Stats & OR Network, will be that, he will succeed AMS President David 1089, entertaining a large and diverse audi- Roadshow in Leeds in 1989 and Liverpool in held on Wednesday 28 January at the Eisenbud of the Mathematical Sciences ence, in the manner customary to these long- 1990. A website at Bangor (www.cpm.infor- University of Birmingham. The course will Research Institute and the University of established evenings. matics.bangor.ac.uk/), showing over 55 sculp- cover a range of approaches that may be California, Berkeley. Scattered around the RI Library for the event tures, was constructed in 1996, supported by developed to introduce research topics and James Arthur is an internationally recog- were exhibitions to amuse and inform. The Edition Limitée, and was upgraded in 2002 techniques into an undergraduate pro- nized mathematician who works in the theo- Society’s materials attracted good interest, in with EPSRC support. This has made John’s work gramme. The four year M.Sci and M.Math ry of automorphic forms. This theory is a cor- particular the videos of the Popular Lectures, available to the world. Ronnie Brown has lec- programmes usually require a significant nerstone of the Langlands Program, which including, of course, those of David and Marcus tured on John’s work in Oxford, Toronto (Fields project component where specialised suggests deep connections between analysis, du Sautoy earlier this year. Institute, 90th birthday of Donald Coxeter), research topics may be addressed. However number theory, and representation theory. Another exhibition – models of mathemati- Maubeuge, San Sebastian, Paris, Obidos, this course will focus more on other Arthur is probably best known for his devel- cally-related sculptures by John Robinson – Bologna, Anglesey and Bilbao. 20 approaches based on practice elsewhere in opment of the so-called Arthur-Selberg trace renewed the long association of the Royal One of the aims of this association of math- 21 the country. formula, a key analytic tool in the Langlands Institution with Bangor mathematics and the ematics and art is to link mathematics, in the This will include courses based on program. sculptor. public mind and for students, with imagina- Research Foundations in Applied James Arthur received his PhD from Yale Ronnie Brown first saw some of John’s tion, rhythm of form, and creativity. Another is Mathematics, problems based on University in 1970 and has been at the amazing sculptures in John’s Freeland Gallery to suggest questions on the nature and role of Industrial Mathematics Links (eg Oxford University of Toronto since 1979; he became in Albemarle Street, after a Mathematics mathematics, and indeed of art. Study Group), courses focusing on History a University Professor in 1987. He has of Mathematics (perhaps concentrating on received several prizes, including the Tory certain individuals) and 'apprentice' or Medal of the Royal Society of Canada, the 'shadowing' of academic staff undertak- Canada Gold Medal of the National Science ing research activities. The intention of and Engineering Research Council and the G. the course will be to prompt participants de B. Robinson Prize of the Canadian into developing and extending their own Mathematical Society. He is a fellow of The 'departmental approach' to integrating a Royal Society of London, The Royal Society of research component into courses, based Canada, and the American Academy of Arts on the expertise and knowledge-base and Sciences. available in the department and sharing Professor Arthur was twice an invited their experiences with colleagues. speaker at the International Congress of Speakers will include Professor Chris Mathematicians (Warsaw, 1983, and Berlin, Budd (Bath), Dr Chris Sangwin 1998). He also spoke at the AMS meeting, (Birmingham), Dr Neil Challis (Sheffield Mathematical Challenges of the 21st Hallam) and the organiser Professor John Century, at the University of California, Los Blake (Birmingham). The cost of £45 Angeles, in 2000. includes tea, coffee, lunch and any course Professor Arthur has a substantial record of materials. Please register online at service with the AMS. He has been on sever- http://ltsn.mathstore.ac.uk/daybreak/ or al Society committees and served as a contact Brad Payne (tel: 0115 848 4713, Member at Large of the Council (1986-88) email [email protected]). and as Vice President (1999-2001). John Robinson THE LONDON MATHEMATICAL SOCIETY

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WHITTAKER AND WATSON in 1928-29, was awarded the De Morgan I am grateful to Mr Graham Robertson in the chillier climes of England, with British Medal in1935, and was knighted in 1945. of Cambridge University Press for the fol- boyfriend Warren in tow. Her unfortunate The text Modern Analysis by E.T. Whittaker G.N. Watson (1886-1965) was also educat- lowing information about Whittaker and partner makes a great sacrifice, giving up and G.N. Watson, published by Cambridge ed at Cambridge, and followed in Watson: his musical career to become a domestic University Press, has been continuously in Whittaker’s footsteps, becoming a Fellow of 1. Sales for the fourth edition since 1975 drudge while she chases her scientific muse. print for more than a century. This seems Trinity College in 1910. He held a chair at exceed 20,000 copies. The main motivation behind the writing is all the more remarkable in an age when Birmingham from 1918 to 1951, and was 2. The second edition cost 18 shillings, and the urge to explain what her work is about many textbooks come and go with great President of the LMS for the period 1933-35. the fourth edition cost 40 shillings in and what makes her tick. A history of the sci- rapidity. Whittaker and Watson, as it is The Preface to the fourth edition consists 1930. entific view of the cosmos is presented, from most usually called, was first published in of the following two sentences: ‘Advantage My own copy of the fourth edition, Copernicus via Newton to Einstein and 1902, with Whittaker as the sole author. has been taken of the preparation of the printed in 1958 and purchased in 1959, beyond. Being addressed to a non-scientist, Subsequent editions bear the names of fourth edition of this work to add a few cost 80 shillings, and the dust jacket bears everything is explained beautifully in an intu- both Whittaker and Watson. The second additional references and to make a number the following quotation from a review in itive way, with many pictures. Even more and third editions followed in 1915 and of corrections of minor errors. Our thanks are Nature: ‘Whittaker and Watson has unusual is the backdrop of her personal life, 1920, and a large number of reprints of due to a number of our readers for pointing entered and held the field as the standard so that the most technical descriptions are the fourth edition have been made since it out errors and misprints, and in particular we book of reference in English on the appli- interspersed with thoughts and reflections first appeared in 1927. are grateful to Mr E.T. Copson, Lecturer in cations of analysis to the transcendental on where she is and who she’s with. E.T. Whittaker (1873-1956) was educated Mathematics in the University of Edinburgh, functions.’ This statement would not look 22 at Manchester Grammar School and Trinity for the trouble which he has taken in supply- out of place if it were repeated today. 23 College, Cambridge. Following a ing us with a somewhat lengthy list.’ E.T. George M. Phillips Fellowship at Trinity College, he was Copson (1901-1980), who subsequently mar- Astronomer Royal for Ireland from 1906.In ried Whittaker’s elder daughter Beatrice, was 1912 he was appointed to the chair of himself the author of several texts, the best BOOK REVIEW mathematics at the University of known being Functions of a Complex Edinburgh, where he remained for the rest Variable (1935), which remained in print for How the Universe Got Its Spots. Diary of a of his career. He was President of the LMS about fifty years. Finite Space in a Finite Time by Janna Levin. Weidenfeld & Nicolson, paperback 2003, pp 224, £7.99, ISBN 0753813769; hardback 2002, pp 142, £16.99, ISBN 0297646516. Popular science has become gradually LMS INVITED LECTURES 2004 more fashionable over the past fifteen years or so. This trend has partly been set by the bestsellers of Stephen Hawking, which Professor M.W. Davis (Ohio State University) have introduced modern cosmology into The Geometry and Topology of Coxeter Groups the public awareness. However, while there are now several good popular books on the Monday 5 - Friday 9 July 2004 subject, this new contribution from young cosmologist Janna Levin provides some- thing unique: a rare insight into the per- The 2004 LMS Invited Lectures will be given at the School of Mathematics, sonal and intellectual life of a scientist. University of Southampton. This series is held annually: a single speaker The book is a two-year diary of unsent gives a course of 10 expository lectures, examining an important topic in letters to the author’s mother, chronicling The ‘Finite Space’ of the subtitle refers to depth, over a five day period. Further details will be announced later on. the peripatetic and insecure existence of a Levin’s original work concerning the possi- For general enquiries contact the organiser Dr I.J. Leary postdoctoral researcher. At the start she ble extent of the universe. She has a gut ([email protected]). leaves behind her sun-drenched life in feeling that nature abhors infinities, so the California, in order to strike out a new path space we live in should be finite. However, THE LONDON MATHEMATICAL SOCIETY

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just as we can travel on the curved surface expert like me, Levin’s book provides a fas- of our planet without falling off, in a com- cinating introduction to the work of LONDON MATHEMATICAL SOCIETY pact universe there is no edge of space. To Thurston, Best and Weeks on compact explain this requires an appreciation of three-manifolds with negative curvature. CECIL KING TRAVEL SCHOLARSHIP topology, in order to understand how space There is also a wonderful scientific analogy fits together, and the book gives a highly between patterns of radiation in the sky The London Mathematical Society annually awards a Cecil King Travel Scholarship in accessible introduction to these ideas. An and Murray’s work in mathematical biology Mathematics to the value of £5000, to a young mathematician of outstanding prom- important insight is that while Einstein’s on the leopard’s spots, which gives the ise, to support a period of study or research abroad for a typical period of three general theory of relativity describes the book its title. months. Many mathematicians have found that such a visit has benefited both their local geometry of the universe, in terms of Science is viewed here as a creative mathematics and their career; the Society urges young mathematicians and their the curvature of space-time, it does not expression of our sense of wonder at the supervisors to consider seriously this opportunity. address global topological questions. universe, and its human face is vividly The award is competitive and based on a written proposal describing the intended The notion of a finite universe has evoked by the autobiographical passages. programme of study or research abroad and the benefits to be gained from such a received very recent media attention due to Levin is also brave enough to expose her visit. new measurements of the cosmic raw nerves, not least the deterioration of microwave background radiation by NASA’s her relationship with Warren. Yet she ends Applicants should normally be nationals of the UK or Republic of Ireland, under the WMAP spacecraft, prompting the Guardian on a note of hope, suggesting that there age of 25 years, either registered for or having recently completed a doctoral degree headline ‘Universe is shaped like a football, may be a reconciliation of the differences at a UK University. 24 says scientist’. The experts are still in dis- between science and art, and between 25 agreement about the correct interpretation mind and heart. The initial application should include: of the WMAP results - apparently the foot- Andy Hone ball has already been ruled out! For a non- University of Kent 1. A completed application form. 2. A short proposal (4 pages maximum) indicating the proposed programme of study abroad, the benefit of such an opportunity in advancing the candidate's studies, and the Institution that the candidate wishes to visit. 3. A letter of support from the applicant’s Head of Department, or from his or her Research Supervisor.

Candidates selected for interview will be asked to approach the intended research institution or research leader to be visited, to confirm that a visit would indeed be welcomed if an award were made.

At the end of the Scholarship, the student will be expected to write a short report indicating the activities and benefits gained from the visit.

The Cecil King Travel Scholarship was established in 2001 by the Cecil King Memorial Fund. The award is made by the Council of the London Mathematical Society on the recommendation of the Cecil King Prize Committee, nominated by the Society's Education Committee.

Application forms for the 2004 Scholarship are available on the Society’s website (www.lms.ac.uk/activities/cecil_king/index.html) or from the Society. Closing date for applications: 4 February 2004.

The London Mathematical Society (ref: Cecil King/FS), De Morgan House, 57-58 Russell Square, London WC1B 4HS (tel: 020 7637 3686; email: [email protected]). THE LONDON MATHEMATICAL SOCIETY

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MATHEMATICIANS VISITING McLeod, J. (Mount Holyoke College) Liverpool University (Pure Arithmetic Geometry, Spring- Topological Algebra and Mathematics) Summer ’04 THE UK IN 2004 Combinatorics, Sep ’03 - Jul ’04 Bryden, J. (University of Southern Stix, J. (University of Bonn) Aberdeen University Imperial College London Illionis, USA) Topology & Arithmetic Geometry, Oct ’03 – Benn, I. (University of New South Barnea, Y. (University of Wisconsin, Representation Theory, Jan ’04 Wales) Relativity, Jul – Dec ‘04 USA) Algebra, Jan – Jun ’04 Oxford University (Mathematical Bath University 1 Aug ’03 – 1 Mar ’04 London School of Economics Institute) Gutierrez-Penna, E. (National Masumune, J. (Japan Society of the Beck, A. (University of Wisconsin) Carrillo, C. (Mexico) Mathematical University of Mexico) Bayesian Promotion of Science) Geometry Search Games, Jan – Mar ’04 Biology, 1 Oct ’03 – 1 Jul ’04 Statistics, Aug ’03 – Aug ’04 & Analysis of the Dirac & Kohn Gal, S. (Haifa) Search Games, Apr – Johnston, A. (University College Bristol University Laplace Operators, 1 Feb ’03 – Jun ’04 London) Mathematical Biology, Brundan, J. (University of Oregon, 1 Feb ’05 Loughborough University 1 Oct ’03 – 30 Sep ’04 USA) Pure Mathematics, 29 Sep – Painov, D. (Ecole Polytechnique, Sutyrin, G.G. (Rhode Island Kroner, H. (Kaiserslautern) 30 Jan ’04 France) Geometry, University, USA) Geophysical Fluid Mathematical Finance, 6 Oct ’03 – Rudnick, Z. () 1 Apr – 30 Jun ’04 Dynamics, Oceanic and 13 Mar ’04 Applied Mathematics, 1 Oct ’03 – Sibini, P. (University of Southern Atmospheric Vortices and Fronts, Liu, R.T. (Taiwan) Mathematical 30 Sep ’04 Denmark) Mathematical Physics: 20 Aug ’03 – 20 Apr ’04 Biology, 4 Aug ’03 – 31 Jul ’04 Chester College Time Dependent Statistics in Manchester University Mackey, M. (Montreal) Physiology, 26 Bocharov, G. (Russian Academy of Complex Systems, Rafikul, A. (Guwchati, India) 10 Feb – 18 Mar ’04 27 Sciences, Moscow) Mathematical Sep ’03 – Aug ’04 Numerical Linear Algebra, Martinez, D. (Spain) Geometry, Immunology, Apr – Jul ’04 Sohn, S.Y. (Yonsel University Seoul, 25 Mar ’03 – Mar ’04 1 Oct ’03 – 30 Sep ’04 Durham University Korea) Statistics, Taras, P. () Mena, F. (Portugal) General Guifloye, B. (IT Tralee, Ireland) Dec ’03 – Dec ’04 Algebraic Theory & Combinatorics, Relativity, Differential Geometry, 26 Apr – Zweimuller, R. (University of 1 Aug ’03 – 31 Jan ’04 1 Oct ’03 – 30 Sep ’05 25 May ’04 Salzburg, Austria) Dynamical Napier University Meyer-Hermann, M. (Dresden) Exeter University Systems, 10 Sep ’03 – 31 Jan ’04 Kuzmin, G.A. (Institute of Mathematical Biology, 1 Oct ’03 – Emirsajlow, Z. (Technical University Kings College London Thermophysics, Novosibirsk, 30 Sep ’04 of Szczecin) Control Theory, 5 Oct Dudulhava, R. (Academy of Sciences Russia) Fluid Dynamics, Nakagaki, T. (Hokkaido University, ’03 – 31 Jan ’04 of Georgia) Integral Equations, Turbulence, 15 – 31 Mar ’04 Japan) Mathematical Biology, Feb Liao, X. (Chinese Academy of Operator Theory, Partial Newcastle University – Nov ’04 Sciences, Shanghai, China) Differential Equations, Mechanics Agler, J. (University of California, Scheerlinck, N. (Belgium) Astrophysical Fluid Dynamics, of Solids, Nov ’03 – Feb ’04 San Diego) Operator Theory, Mathematical Biology, 1 Sep ’04 – 1 Oct ’03 – 1 Mar ’04 Leeds University (Pure 1 Jul – 31 Aug ’04 28 Feb ’05 Maistrenko, Y. (Ukraine Academy of Mathematics) Marcantognin, S. (Caracas Zheng, Z. (China) Scientific Sciences) Nonlinear Dynamics, Callier, F. (Namur University, University, Venezuela) Operator Comp/PDE, Synchronization, until Jan ’04 Belgium) Analysis & Control Theory, 1 Jul – 31 Dec ’04 1 Mar ’03 – 28 Feb ’05 Heriot-Watt University Theory, 26 Apr – 25 Jun ’04 Nottingham University Portsmouth University Afrouzi, G. (Mazandaran University, Leicester University Ihara, Y. (Kyoto University) Number Yaghoobi, M.A. (University of Iran) Differential Equations, Diracca, L. (University of Padova) Theory, Mar ’04 Kerman, Iran) Operational Functional Analysis, Algebra, Sep ’03 – Sep ’04 Kato, K. (Kyoto University) Research, 1 Nov ’03 – 1 Aug ’04 Oct ’03 – Mar ’04 Milstein, G.N. (Ural State Arithmetic Geometry, Spring – Queen Mary, University of London Hull University University) Stochastic Numerics, Summer ’04 Bae, J.S. (Chonnam National Falkovich, G. (Weizmann Institute Mar – Oct ’04 Sato, K. (Nagoya University) University, Korea) Statistics, for Science, ) Mathematical Sun, X. (University of Southwest Arithmetic Geometry, K-theory, 10 Feb ’03 – 31 Jan ’04 Theory of Turbulence, Missouri, USA) Approximation Oct ’03 – Sep ’04 Filho, J. (Universidade Federal de Mar – Apr ’04 Theory, Jun-Aug ’04 Saito, S. (Nagoya University) Lavras, Brazil) Design of THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

Experiments, 12 Jan - 9 Apr ’04 Sensitive Solar Cells 15 Jan - Texas) Pseudo-differential – 30 Oct ’04 Zochi, S. (Universidade de São 6 Feb ’04 Operators & Markov Processes, Marden, A. (University of Paulo, Brazil) Design of St Andrews University Applications to Finance, Minnesota) Kleinian Groups, Experiments, Albert, M. (University of Otago, Mar - Apr ’04 15 Mar – 15 May ’04 1 Mar ’04 – 28 Feb ’05 New Zealand) Combinatorics on Warwick University (Mathematics Moori, J. (University of Natal) Royal Holloway Permutations, Sep ’03 – Jan ’04 Institute) Algebra, 30 Jul ’03 – 15 Jan ’04 Schaathun, H.G. (Bergen, Norway) Hornig, G. (Ruhr-Universität Brassesco, S. (Instituto Venezolano Shen, Y. (Suzhou University) Fingerprinting, Bochum) Magnetohydrodynamics, de Investigaciones Cientificas) Geometric Analysis, 10 Jul ’03 – 3 Oct ’03 – March ’04 Feb – May ’04 Stochastic Analysis, 21 Aug ’03 – 10 Jan ’04 Shin, S. (Sookmyung Women’s Zhugzhda, Y. (University of 31 Aug ’04 Warwick University (Statistics) University, S. Korea) Moscow) Magnetohydrodynamics, Choi, Y. (Kyungpook National Jayasekara, L. (University of Cryptography, 2003-04 Spring ’04 University) Hyperbolic Geometry, Rumana, Sri Lanka) Contingency Salford University Strathclyde University 16 Oct ’03 – 15 Oct ’04 Tables, Tests on Contingency Krillova, I. (Saratov State Belyakov, V.A. (Landau Institute of Ingallis, C. (University of New Tables, 1 Oct ’03 – 31 Mar ’04 University, Russia) Bio Mechanics, Theoretical Physics, Moscow) Brunswick) Noncommutative York University Sep ’03 – Sep ’04 Nonlinear Optics in Chiral Liquid Algebra, Algebraic Geometry, Beresnevitch, V. (Minsk University, Nolde, E.V. (Russian Academy of Crystals, Electromagnetic Waves 1 Sep ’03 – 31 Aug ’04 Belarus) Number Theory, Sciences, Moscow) Asymptotic in Periodic Media, Solid State Lecuire, C. (UMPA, ENS-Lyon) Oct ’03 – Aug ’04 28 Methods, Wave Propagation in Nuclear Physics, Hyperbolic Geometry, Skrigonov, M. (Steklov Institute, St. 29 Solids and Structures, Oct ’03 – 1 Jun – 31 Aug ’04 1 Feb – 3 May ’04 Petersburg, Russia) Number Oct ’04 UMIST Liu, Y. (Yangzhou University) PDEs Theory, Nov – Dec ’03 Southampton University Mendez, V. (Universitat & Nonlinear Dynamics, 25 Oct ’03 Afshar-Nejad, Z. (Ferdowsi International de Catalunya, University, Mashhad, Iran) Spain) Dynamical Properties of Dynamical Systems Reaction-Diffusion Fronts, 1 Apr – 1 Dec ’03 - 30 Sep ’04 30 Jun ’04 Borchers, B. (New Mexico Tech; Reisen, B.V. (Universidade Federal IPAM, Los Angeles, USA) do Espirito, Brazil) Long Memory Semidefinite Programming Models, 10 Nov ’03 – 30 Apr ’04 8 - 11 Jan ’04 Yalcinkaya, S. (METU, Ankara, de Oliveira, E. (Bahia Universidad) Turkey) Pure Mathematics, 25 Jul Clustering Techniques; Three- ’03 – 31 Jul ’04 Phase Simulation Methods University of Wales, Aberystwyth 12 Sep ’03 - 31 Aug ’04 Ervin, V.J. (Clemson University, SC, Lecuire, C. (UMPA, France) Kleinian USA) Viscoelastic Flow, Numerical Groups and Hyperbolic Manifolds Analysis, Jul - Aug ’04 1 Oct ’03 - 31 Jan ’04 Mullen, G.L. (Pennsylvania State Liyanage, M. (Sri Jayewardedepura University, USA) Design Theory, University, Sri Lanka) Industrial Finite Fields, Hypercubes, Applied Mathemtics 1 Feb - 31 Jun - Jul ’04 July ’04 Owens, R.G. (École Polytechnic Morones, R.M. (ITAM, Mexico) Féderéle de Lausanne, Industrial Applied Mathematics Switzerland) Viscoelastic Flow, 1 Aug ’03 - 31 Jul ’04 Spectral Methods, May ’04 Penny, M.P. (QUT, Brisbane, University of Wales, Swansea Australia) Modelling of Dye- Levendovskii, S. (University of THE LONDON MATHEMATICAL SOCIETY

NEWSLETTER No. 322 January 2004

CALENDAR OF EVENTS Management of Healthcare IV, IMA THE INSTITUTE OF Conference, Salford University (319) This calendar lists Society meetings and other events publicised in the Newsletter. Further APRIL 2004 MATHEMATICS AND ITS information can be obtained from the appro- 5-7 Modelling in Industrial Maintenance priate LMS Newsletter whose number is given and Reliability V, IMA Conference, Salford APPLICATIONS in brackets. A fuller list of meetings and University (319) events is given on the Society’s website 5-8 BMC, Queen’s University, Belfast (315) FORTHCOMING CONFERENCES (www.lms.ac.uk/meetings/diary.html). 13-16 Maths Takes Shape, MA Annual Easter Conference, York University (321) Modelling Permeable Rocks IV University of Southampton, JANUARY 2004 16-17 Howard Hoare Symposium, 29 March - 1 April 2004 6-9 Geometry & Analysis Towards Birmingham University (321) Quantitative Modelling in the University of Salford, Quantum Theory, UK-Japan Winter School, 19-22 BAMC, East Anglia University (320) Management of Health Care IV 31 March - 2 April 2004 Durham University (321) 8 and Its Applications Meeting, MAY 2004 Modelling in Industrial University of Salford, Imperial College London (321) 12 LMS Midlands Regional Meeting, Nottingham Maintenance and Reliability V 5 - 7 April 2004 9 UK & Republic of Ireland SIAM Section 28-31 Meeting in Honour of Professor Annual Meeting, Sheffield University (316) Wong, City University, Hong Kong (319) Analysing Conflict and its St. Catherine’s College, Oxford, 9 Bristol Leicester Oxford Colloquium, 30 Resolution 28 - 30 June 2004 31 Oxford University (321) JUNE 2004 Flood Risk Assessment: University of Bath, 10-11 New Frontiers in Computational 16-18 Croatian Congress of Mathematics, 7 - 8 September 2004 Mathematics Workshop, Manchester Split University, Croatia (321) University (318) 18 Hardy Lecture, LMS Meeting, London Boundary Integral Methods III: Reading University, 19 Mathematics in the Metropolis Lecture, 21-25 Mathematics for Industry European Theory and Applications 14 - 18 September 2004 Gresham College London (321) Conference, Eindhoven, The Netherlands (321) 20 400 Years of British Mathematics 21-2 Jul SMS-NATO Advanced Summer Mathematics in Signal Royal Agricultural College, Processing VI Cirencester, 14 - 16 December 2004 Meeting, Open University (319) Institute Summer School on Morse 20-23 Towards a Predictive Biology Theoretic Methods in Non-linear Analysis Recent Advances in Non-Linear Aberdeen University, Conference, INI, Cambridge (316) and Symplectic Topology, Université de Mechanics 30 August - 1 September 2005 21 Combinatorics Meeting, Open Montréal, Canada (322) University (321) 27-2 Jul Fourth European Congress of Mathematics of Surfaces XI Loughborough University, Mathematics, Stockholm, Sweden (315) 5 - 7 September 2005 FEBRUARY 2004 28-30 Analysing Conflict and its Resolution, 9 Random Matrix Theory and the IMA Conference, Oxford (319) CO-SPONSORED CONFERENCE Birch/Swinnerton-Dyer Conjecture Spitalfields International Conference on City University, London, Day, Isaac Newton Institute, Cambridge (321) JULY 2004 Mathematical Modelling and 10 – 14 July 2005 20 LMS Mary Cartwright Lecture, 2 LMS Northern Regional Meeting, Applications University College London (322) Newcastle University 4-11 ICME10, Copenhagen, Denmark (308) For further details of all these conferences visit our website on www.ima.org.uk or MARCH 2004 5-9 Geometry and Topology of Coxeter contact: Lucy Nye, Conference Officer, The Institute of Mathematics and its Applications, 29-1 Apr Modelling Permeable Rocks IV, IMA Groups, M.W. Davis, LMS Invited Lectures, Catherine Richards House, 16 Nelson Street, Southend-on-Sea, Essex SS1 1EF. Conference, Southampton University (319) Southampton University (322) Direct line: (01702) 356110 Switchboard: (01702) 354020 30-2 Apr Applications of K-theory and 10-14 Mathematical Modelling and Email: [email protected] Fax: (01702) 354111 Cohomology Meeting, Southampton Applications International Conference, City University (321) University, London (321) 31-2 Apr Quantitative Modelling in the 12-16 IWOTA, Newcastle University DE MORGAN MEDALLIST 1917

Professor Young received the De Morgan Medal theory of integration differently, by the ‘method on 1 November 1917. In his early work, Young of monotone sequences’, which is now often arrived independently at a definition of the inte- applied in introductions to integration. Using gral in a form different from, but essentially this method, he had complete success in giving a equivalent to, that of Lebesgue. He was antici- common generalization of the Lebesgue and pated by about two years but he recognized this Stieltjes integrals. Young also did significant magnanimously and in further development of work on Fourier series and other special orthog- the theory it was he who named ‘the Lebesgue onal series and on the of integral’. In later papers, Young developed the functions of several variables.