David Crighton Medal 2006
ICM2006 Awards
ICIAM Prizes
Adams Prize
Calls for Nominations for ten EMS Prizes


It is with great pleasure that the Councils of the London Mathematical Society and the Institute of Mathematics and its Applications announce the award of the 2006 David Crighton Medal to Professor Sir Christopher Zeeman, FRS, Honorary Fellow and formerly Principal of Hertford College, Oxford, in recognition of his long and distinguished service to mathematics and to the mathematical community in all areas – in research, to mathematics in higher education, to the mathematical societies, and in outreach activities with schools and the public.

The David Crighton Award was instituted by the IMA and LMS in memory of Professor David George Crighton, FRS (15 November 1942 – 12 April 2000), a former President of the IMA and President-Designate of the LMS at the time of his death. David was Master of Jesus College, Cambridge, and Professor of Applied Mathematics at Cambridge University; he was a leader in the fields of Fluid Mechanics and Applied Mathematics, influencing their progress nationally and internationally through his contributions both to research and administration. The Medal is awarded triennially to an eminent mathematician for services both to mathematics and to the mathematical community.

Sir Christopher Zeeman’s research falls into two main periods. His early work was mostly in Piecewise Linear Topology, where he proved a number of major theorems, notably the unknotting of spheres of codimension three in 1960, and the topological Poincaré Conjecture in dimension 5 in 1962. Much of his later work was in dynamical systems and singularity theory (particularly catastrophe theory) following the pioneering ideas of René Thom. He contributed to the theoretical side of the subject, but his most influential work was in applications. In particular, he argued that the qualitative theory of singularities could be applied to the social and biological sciences, which he hoped would lead to more specific quantitative models as the topic developed. His ideas have made their way into many areas of science and mathematics. Modern bifurcation theory has been revolutionised by singularity-theoretic techniques; recently catastrophe theory has been 'rediscovered' in major papers in Science and Nature on ecology and molecular structure, for example.

He has played important roles in almost all activities of the mathematical community. In 1964 he created the Department of Mathematics and the Mathematics Research Centre at the University of Warwick as its Foundation Professor. His vision and leadership were key to the department’s long-term success. As chair of the Mathematics Committee of the Science and Engineering Research Council he created the Nonlinear Systems Initiative which went on to become the Applied Nonlinear Systems Initiative. He created the committee of Heads of Departments of Mathematical Sciences (HoDoMS). He chaired the inaugural Scientific Committee of the Newton Institute that oversaw its creation and chose the programmes during its first ten years. He is a past-President of the London Mathematical Society (1986–88) and received the Senior Whitehead Prize of the Society in 1982.

He was a pioneer in the area of public engagement with mathematics, and has a strong involvement with school mathematics. As early as 1967 he was speaking on the (then) BBC Third Programme on topics such as topology. He delivered the 1978 Royal Institution Christmas Lectures on BBC television – the first time in the 150-year history of these lectures, founded by Michael Faraday, that the topic was mathematics. These lectures led Sir Christopher to start the Royal Institution Mathematics Masterclasses for talented young people. He was Gresham Professor of Geometry from 1988 to 1994, delivering an annual series of public lectures. For his work in the public understanding of science he received the prestigious Royal Society Faraday Medal in 1988. He served as the President of the Mathematical Association in 2003/04, a post to which he brought his customary enthusiasm and ideas, ensuring that the power and beauty of mathematics is at the heart of mathematics education, and that the wider public should have inspirational opportunities to experience this for themselves.

The presentation of the David Crighton Medal will take place at a joint meeting of the IMA and the LMS in 2007 on a date to be announced, and will be followed by a lecture from Sir Christopher. Further details will appear when they are available.

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The Fields Medals, Nevanlinna Prize and the Gauss Prize were awarded on 22 August 2006 during the opening ceremony of the International Congress of Mathematicians in Madrid.

Fields Medals

  • Andrei Okounkov for his contributions bridging probability, representation theory and algebraic geometry.
  • Grigori Perelman for his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow.
  • Terence Tao for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.
  • Wendelin Werner for his contributions to the development of stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory.

Nevanlinna Prize for mathematics in the Information Society

Jon Kleinberg's work has brought theoretical insights to bear on important practical questions that have become central to understanding and managing our increasingly networked world. He has worked in a wide range of areas, from network analysis and routing, to data mining, to comparative genomics and protein structure analysis. In addition to making fundamental contributions to research, Kleinberg has thought deeply about the impact of technology in social, economic, and political spheres.

Carl Friedrich Gauss Prize for applications of mathematics

The first laureate of the newly-created Gauss Prize is the Japanese mathematician Kiyoshi Itô aged 90. His theoretical work in stochastic analysis that has had such an enormous impact shows how it can be a long and complex route from real-world phenomena to their abstract mathematical description and back again to applications.

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Professor Ian Sloan, President of the International Council for Industrial and Applied Mathematics (ICIAM), has announced the winners of the five ICIAM prizes. The prize winners are:

Pioneer Prize Ingrid Daubechies (Princeton) and Heinz Engl (Linz) – joint winners

The Pioneer Prize, established for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. The prize commemorates the spirit and impact of the American pioneers. It was created on the initiative of ICIAM member society SIAM, and was first awarded in 1999. The Pioneer Prize is currently funded by SIAM.

Collatz Prize Felix Otto (Bonn)

The Collatz Prize, established to provide international recognition to individual scientists under 42 years of age for outstanding work on industrial and applied mathematics. It was created on the initiative of ICIAM member society GAMM, and was first awarded in 1999. The Collatz Prize is currently funded by GAMM.

Lagrange Prize Joseph Keller (Stanford)

The Lagrange Prize, established to provide international recognition to individual mathematicians who have made an exceptional contribution to applied mathematics throughout their careers. It was created on the initiative of ICIAM member society SMAI, and first awarded in 1999. The Lagrange Prize is currently funded by the three member societies SMAI, SEMA and SIMAI.

Maxwell Prize Peter Deuflhard (ZIB, Berlin)

The Maxwell Prize, established to provide international recognition to a mathematician who has demonstrated originality in applied mathematics. It was created on the initiative of ICIAM member society IMA (with the support of the J.C. Maxwell Society), and first awarded in 1999. The Maxwell Prize is currently funded by IMA.

Su Buchin Prize Gilbert Strang (MIT)

The Su Buchin Prize, established to provide international recognition of an outstanding contribution by an individual in the application of mathematics to emerging economies and human development, in particular at the economic and cultural level in developing countries. It was created on the initiative of ICIAM member society CSIAM, and is being awarded for the first time. The Su Buchin Prize is currently funded by CSIAM.

Prize citations and presentation

For the six ICIAM prize citations, and other information about the prize winners, refer to the ICIAM website (www.iciam.org). The prizes will be awarded at the Opening Ceremony of the International Congress for Industrial and Applied Mathematics, to be held in Zürich from July 16 – 20 July 2007 (www.iciam07.ch). The four-yearly ICIAM Congress is a major international celebration of mathematics in action, and the main event in the applied mathematical calendar. The International Council for Industrial and Applied Mathematics (ICIAM) is a world body which brings together all the national associations of professional mathematicians concerned with applications.

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The Chairman of the Adjudicators for the Adams Prize invites applications. The Prize will be awarded this year for research achievement in the field of Statistics, interpreted in the broadest sense.

The prize is open to any person who, on 31 October 2006, will hold an appointment in the UK, either in a university or in some other institution; and who is under 40 (in exceptional circumstances the Adjudicators may relax this age limit). The value of the prize is expected to be approximately £13,000; of which one third is awarded to the prize-winner on announcement of the prize, one third is provided to the prize-winner's institution (for research expenses of the prize-winner) and one third is awarded to the prize-winner on acceptance for publication in an internationally recognised journal of a substantial (normally at least 25 printed pages) original article, of which the prize-winner is an author, surveying a significant part of the winner's field.

Applications (seven copies), comprising a CV, a list of publications, the work or works (published or unpublished) to be considered, and a brief non-technical summary of the most significant new results of these works (designed for mathematicians not working in the subject area) should be sent to: The Secretary of the Adams Prize Adjudicators, Faculty Office, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA (enquiries may be emailed to: faculty@maths.cam.ac.uk). The deadline for receipt of applications is 31 October 2006.

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Principal guidelines

Any European mathematician who has not reached his/her 35th birthday on 30 June 2008, and who has not previously received the prize, is eligible for an EMS Prize at Fifth European Congress of Mathematics. A total of 10 prizes will be awarded. The maximum age may be increased by up to three years in the case of an individual with a 'broken career pattern'. Mathematicians are defined to be 'European' if they are of European nationality or their normal place of work is within Europe. 'Europe' is defined to be the union of any country or part of a country which is geographically within Europe or that has a corporate member of the EMS based in that country. Prizes are to be awarded for work published before 31 December 2007.

Nominations of the award

The Prize Committee is responsible for solicitation and evaluation of nominations. Nominations can be made by anyone, including members of the Prize Committee and candidates themselves. It is the responsibility of the nominator to provide all relevant information to the Prize Committee, including a résumé and documentation. The nomination for each award must be accompanied by a written justification and a citation of about 100 words that can be read at the award ceremony. The prizes cannot be shared.

Description of the award

The award comprises a certificate including the citation and a cash prize of €5,000.

Award presentation

The prizes will be presented at the Fifth European Congress of Mathematics by the President of the European Mathematical Society. The recipients will be invited to present their work at the congress (see www.5ecm.nl).

Prize Fund

The money for the Prize Fund is offered by the Foundation Compositio Mathematica.

Deadline for submission

Nominations for the prize must reach the chairman of the Prize Committee at the following address, not later than 1 November 2007: 5ECM Prize Committee, Professor R. Tijdeman, Mathematical Institute, Leiden University, Postbus 9512, 2300 RA Leiden, The Netherlands (email: tijdeman@math.leidenuniv.nl, fax: +31715277101, phone: +31715277138).

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