WIMCS wishes to recognize the achievements of world class mathematicians who have had a long association with Wales.

Professor Terry Lyons and the WIMCS Research Committee are delighted that that the following have agreed to become WIMCS Emeritus Professors

## Professor David Olive CBE FRS

Professor David Olive, CBE, FRS attended the Royal High School in Edinburgh from 1943-1955 before graduating from Edinburgh University with First Class honours in 1958. He earned a BA from Cambridge University before gaining a PhD there under Dr J C Taylor in 1963 whilst being a member of St Johns College. That same year he was awarded a research Fellowship at Churchill College.

He returned to Churchill and Cambridge after a year at the then Carnegie Institute of Technology in Pittsburg. He became an Assistant Lecturer and later Lecturer in DAMTP (the Department of Applied Mathematics and Theoretical physics). After visits to the University of California at Berkeley and CERN in Switzerland he accepted a staff position at CERN which he held from 1971 until 1977. He also spent some time at the Niels Bohr Institute in Copenhagen.

From 1977 to 1992 he worked at Imperial College, London, eventually becoming Professor and head of the Theoretical Physics Group. He spent sabbatical years at the University of Virginia and a second shared between CERN and the Institute for Advanced Studies in Princeton. He was elected a Fellow of the Royal Society in 1987, and in 1989 he was awarded, jointly with Peter Goddard, the Dirac Medal and Prize of the Abdus Salam ICTP in Trieste.

In 1992 he was appointed to a Research Professorship at what is now called Swansea University and helped Ian Halliday, who had also moved from Imperial College at the same time, build up a new research group there.

In 2007 he became a Foreign Member of the Royal Society of Arts and Sciences in Gothenburg, Sweden.

He has made substantial visits to the Mittag-Leffler Institute in Stockholm, the Newton Institute in Cambridge, the University of Utrecht as Kramers Professor, NORDITA in Copenhagen, Chalmers University in Gothenburg, the University of California at Berkeley as Miller Professor, the Institute for Advanced Studies in Princeton and IFT UNESP in Sao Paulo, Brazil.

He has served on committees or panels in many bodies: the NATO ASI Panel, The Royal Society, various Research Councils and editorial boards of Scientific Journals.

He has collaborated on three books: The Analytic S-Matrix, with R J Eden, P V Landshoff and J C Polkinghorne (CUP 1966); Kac-Moody and Virasoro Algebras, edited with Peter Goddard (World Scientific 1988); Duality and Supersymmetric Theories edited with P C West (CUP 1999).

His research achievements include a series of important papers on fermion emission vertices, superstring theory, a series of papers on aspects of the coset construction in conformal field theory, two papers on electromagnetic duality; he has also jointly written papers concerning affine Toda theories and Kac-Moody algebras. Many of these were coauthored with world-leaders in these fileds and have proved to be of seminal importance.

In 2001 Professor Olive received a CBE in the Queen's New Years Honours List in recognition of his services to theoretical physics.

## Professor Ken Walters FRS

Professor Ken Walters was educated at the University of Wales, Swansea, where he graduated with 1st class honours in Applied Mathematics in 1956. He was awarded the MSc degree in 1957 for research into Atmospheric Diffusion and the PhD degree in 1959 for research into Rheology. His supervisor was the late Professor J.G. Oldroyd. Professor Walters was awarded a DSc degree by the University of Wales in 1985.

After a year researching and lecturing in the USA, Ken Walters returned to Wales at Aberystwyth University. He was promoted to Senior Lecturer in 1965, Reader in 1970, and was made Professor in 1973. He is currently a Distinguished Research Professor in the Institute of Mathematics and Physics.

Professor Walters was elected a Fellow of the Royal Society in 1991, and, in 1995, he was elected a Foreign Associate of the National Academy of Engineering of the United States. He was awarded an Honorary Doctorate by the Universite Joseph Fourier, Grenoble, France, in 1998.

Between 1974-76, Professor Walters was President of the British Society of Rheology and received a Gold Medal from the Society in 1984. From 1996-2000, he was the (first) President of the European Society of Rheology, and between 2000-2004, he was Chairman of the International Committee on Rheology.

Professor Walters has written 5 books and over 100 research papers. He was Executive Editor of the Journal of Non-Newtonian Fluid Mechanics from the launch in 1976 until the publication of Vol. 100 in 2002.

## Professor David Williams FRS

Professor David Williams is the leading mathematician working in probability in the UK. His work is characterised by an extraordinary intuition concerning the behaviour of stochastic processes, combined with a very wide and deep understanding of mathematics.

David Williams studied for his D.Phil at Oxford and Durham, being supervised by D.K. Kendall and G.E.H. Reuter. His early research was on Markov chains. For simple Markov chains, a complete description is possible in terms of its ‘Q-matrix’, which givesthe rates at which the chain jumps from one state to another. However, since the work of Kolmogorov in the 1940s it had been known that there were difficulties with the Q-matrix representation for chains with infinite jump rates. In 1975 Williams solved the ‘Q-matrix problem’, and gave necessary and sufficient conditions for a Q-matrix to be associated with a Markov chain.

William’s expertise in Markov chains soon found application, in completely different areas. With D.W. Stroock and S.R.S. Varadhan, he introduced a powerful duality method for establishing uniqueness of solutions to stochastic differential equations (SDEs). This method is particularly useful for the study of SDEs arising in population genetics, and for these equations the dual is a Markov chain.

Williams work in two other areas of probability shows his ability to develop ideas which would have occurred to no one else. Starting in the late 1960s he discovered a variety of quite unexpected ‘path decompositions’ of Brownian motion; these have proved to be a powerful tool in the study of deep properties of the Brownian trajectory. He initiated the study of Markov processes time changed by an oscillating process, rather than the classical case of an increasing one. There are connections with Wiener-Hopf factorisation, and the theory Williams and his coworkers have developed has applications in the mathematics of insurance.

Williams has played a pivotal role in development of probability in the UK in the last 30 years. He was the first in the UK to appreciate the significance of the work of P.A. Meyer’s ‘Strasbourg school’, and organised an outstanding Durham symposium in 1980 on this work: this was the first place where the ‘Malliavin calculus’ became well known. He is a clear and very lively expositor, and has written two excellent undergraduate textbooks. His two volume work ‘Diffusions, Markov processes and martingales’ (written with L.C.G. Rogers) gives a careful and comprehensive account of this important area of modern probability, and has become a classic.

Williams was elected as a Fellow of the Royal Society in 1984, and received the Polya prize of the London Mathematical Society in 1994.

## Professor Roger Owen FREng FRS

Professor Roger Owen received his early education at Llanelli boys Grammar School and University of Wales, Swansea where he graduated with 1st class honours in Civil Engineering in 1963. After completing his M.Sc. at Swansea in 1964, he undertook further research at Northwestern University in the USA, where he was awarded his Ph.D. degree in 1967 for work on the theory of continuously distributed dislocations. Professor Owen was awarded a D.SC. degree by the University of Wales in 1982.

Professor Owen returned to University of Wales Swansea in 1967 to take up an academic post in the Department of Civil Engineering, where under the influence of Professor O. C. Zienkiewicz, he developed an interest in computational methods. From that time, Professor Owen has contributed prominently to the development of computational strategies for plastic deformation problems, both for fundamental material studies and for application to engineering structures and components. He was awarded a Personal Chair in 1983.

Over the past two decades, Prof. Owen's work has focused on the development of discrete element methods for particulate modelling and the simulation of multi-fracturing phenomena in materials, where much of his research has been pioneering. This work has extended developments in the continuum modelling of finitely deforming solids by including damage/fracture based failure and introducing material separation on a local basis to permit simulation of the degradation of a continuum into a multi-fractured particulate state. Based upon this methodology, contributions have been made to fundamental understanding in several key application areas. A further topic of recent research has been the coupling of particulate systems and multi-fracturing solids with other physical fields, involving liquids or gases.

Professor Owen was elected Fellow of the Royal Academy of Engineering in 1996 and awarded an Honorary D.Sc. by the University of Porto, Portugal in 1998. He received the Computational Mechanics Award of the International Association for Computational Mechanics (IACM) in 2002 and was awarded the Warner T. Koiter Medal of the American Society of Mechanical Engineers (ASME) in 2003 for contributions to the field of theoretical and computational solid mechanics. In 2004 he was awarded the Gauss-Newton Medal of IACM and the Gold Medal of the University of Split, Croatia. Professor Owen received the Premium Medal of the Spanish Society for Computational Mechanics (SEMNI) in 2005 and was awarded an Honorary D.Sc. by Ecole Normale Superieure de Cachan, France in 2007. Professor Owen was elected a Fellow of the Royal Society in 2009 and became a WIMCS Emeritus Honorary Professor in the same year.

Professor Owen is the author of six textbooks, thirty monographs and over three hundred and fifty scientific publications. His involvement in academic research has led to the supervision of over sixty Ph.D. students.

## Professor Christopher Hooley FRS

Professor Christopher Hooley is one of the UK’s most distinguished Number Theorists.

Professor Hooley graduated from Corpus Christi College, Cambridge and went on to complete his PhD there in 1957 entitled ‘Some Theorems in the Additive Theory of Numbers’ under the supervision of Professor A Ingham. In 1958 Professor Hooley moved to Bristol, and stayed there until 1965 when he was appointed Professor of Pure Mathematics at Durham. In 1967 he became Professor of Pure Mathematics at Cardiff and Head of Pure Mathematics School. From 1988 he was Head of Cardiff School of Mathematics until 1995. He also served for a period as Dean of Science. From 1995 Professor Hooley was Distinguished Research Professor at Cardiff until 2008.

In 1973 he won the Adams Prize awarded by Cambridge University, and in 1980 the Senior Berwick Prize from the London Maths Society. In 1983, Professor Hooley delivered a 1-hour address at the International Congree of Mathematicians in Warszaw. He has on several occasions been a visiting Professor at the Institute for Advanced Study at Princeton, and in 1983 was elected a fellow of the Royal Society.

Professor Hooley has nearly a hundred publications that have strongly influenced the development of analytic number theory through the past half century. He has made pivotal contributions to the development of sieve theory, some of this work having been exposed in his influential monograph “Applications of Sieve Methods”, published by Cambridge University Press in 1976. He was an early pioneer in analytic number theory of the application of Deligne’s celebrated resolution of the Weil Conjectures to problems in sieve theory and Diophantine equations. This work shifted the course of the subject. Professor Hooley’s work on additive problems, and in applications of the circle method, is unique in its flavour and unparalleled in its sophistication. In particular, his proof in 1988 that non-singular cubic forms in nine variables satisfy the Hasse Principle remains one of the crowning achievements of the use of Fourier analytic methods within number theory. Finally, but by no means least, there is his encyclopaedic series of nineteen papers on the Barban-Davenport-Halberstam theorem.

Among his important papers are:

On nonary cubic forms, Journal für die reine und angewandte Mathematik, 386 , pages 32-98,
(1988)

On the Barban-Davenport-Halberstam theorem V, VI, and VII, Proc.London Math. Soc. (3), 33
(1976), 535-548; J. London Math. Soc. (2), 13 (1976), 57-64; ibid 16 (1977), 1-8.

On the representation of a number as a sum of four cubes I, and II, Proc. London Math. Soc.
(3), 36 (1978), 117-140; J. London Math Soc. (2), 16 (1977), 424-428.

On a new technique and its applications to the theory of numbers, Proc. London Math. Soc.
(3), 38 (1979), 115-151.

## Professor Sir John Houghton CBE FRS

Prof. Houghton was born in Dyserth, Wales, United Kingdom. He graduated at the Rhyl Grammar School and Jesus College, Oxford, UK (Degrees –BA, 1951, MA, D Phil, 1955). He received his Knight Bachelor in 1991 and is a Fellow of the Royal Society of London; Member of Academia Europea; Honorary Member of the Royal Meteorological Society; Honorary Member of the American Meteorological Society; Honorary Fellow of the Royal Institute of British Architects; Fellow of the Optical Society of America and Fellow of the Institute of Physics.

Currently he is Honorary Scientist, Hadley Centre for Climate Prediction and Research, Meteorological Office, Bracknell (2002-present); Honorary Scientist, Rutherford Appleton Laboratory (1991-present); Trustee, Shell Foundation (2000-present); and Chairman of the John Ray Initiative (1997-present).

Sir John has combined outstanding scientific accomplishments, as reflected in numerous top awards and honours in meteorology and astronomy from across the globe, acknowledging his outstanding scientific and organizational leadership nationally and worldwide. His accolades include, among others, the Japan Prize; the International Meteorological Organization Prize; the Royal Astronomical Society, Gold Medal and the Global 500 Award, United Nations Environmental Programme, Albert Einstein World Award of Science 2009.

Sir John Houghton is considered one of the most outstanding and effective environmental scientists of his generation.

During the 1960s and 1970s, Sir John built up a research group at Oxford University, which developed pioneering techniques for remote sensing of the atmosphere's temperature structure and composition.

He was Principal Investigator of remote sensing instruments on four of NASA's Nimbus satellites in the 1970s, measuring globally for the first time the temperature structure from about 10 to 90 km altitude - the region of the stratosphere and mesosphere where most of the atmospheric ozone is present - and enabled detailed studies of the structure and dynamics of the ozone layer. This also led to new developments in our ability to measure and model the radiative transfer of the earth, and in our understanding of the dynamics of the stratosphere.

From the formation of the Intergovernmental Panel on Climate Change (IPCC) in 1988 until 2002, Prof. Houghton was chairman (from 1992 co-chairman with L. G. Meira Filho from Brazil and later with Ding Yihui from China) of its Scientific Assessment Working Group (WGI) and led the Technical Support Unit for WGI. The first scientific assessment report published in 1990 was important in clarifying the science of climate change for a wide audience. It was also a crucial input to the Earth Summit at Rio de Janeiro in 1992 and to the formulation of the Framework Convention on Climate Change (FCCC); it has been said that without such a clear and widely accepted statement of the science of climate change, the FCCC could not have been agreed.

In addition to his work with the IPCC, Sir John has played a significant role in the organisation of climate research, both internationally and nationally. He was Chairman of the Joint Scientific Committee of the World Climate Research Programme (WCRP) from 1981-1984, a period when the main research thrusts of that programme were set for the next ten years and two important experiments were undertaken: the World Ocean Circulation Experiment (WOCE) and the Tropical Ocean Global Atmosphere (TOGA) experiment.

Prof. Houghton has contributed several textbooks to environmental science. The first edition of 'The Physics of Atmospheres' was published by Cambridge University Press (CUP) in 1977, with a third edition in 2002. Together with its Chinese, Japanese and Spanish editions, it continues to be widely used in graduate schools across the world in atmospheric science. With Frederic Taylor and Clive Rodgers, the textbook 'Remote Sounding of Atmospheres', was published by CUP in 1984 and remains a formative text in this subject area. Sir John has published over 100 scientific papers on atmospheric spectroscopy, remote sensing, radiative transfer and climate research.

## Professor Roland W Lewis FREng

Professor Roland Wynne Lewis started his career as a research engineer with the ESSO Canada petroleum company in 1965. He was appointed lecturer in the Department of Civil Engineering at University College Swansea in 1969 and was awarded a Personal Chair in 1984. He moved to become head of the Department of Mechanical Engineering at Swansea in 1996. He made substantive contributions to finite element methods and pioneered their application in soil mechanics and in heat and fluid flow. He is widely known for his work in casting simulations, particularly solidification, powder compaction, natural and artificial ground freezing, heat and mass transfer in porous capillary bodies, consolidation and flow through porous media, and multiphase flow in petroleum reservoirs. He is the author of The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media, which is the accepted state-of-the-art textbook in the field. He played a major role in the growth and success of the International Journal for Numerical Methods in Engineering, from its outset until his retirement in 2007. From 1979 to 1997, he was chairman of the Numerical Methods in Thermal Problems series of international conferences, which were leading scientific meetings in the field. He is a Fellow of the International Association of Computational Mechanics (IACM) and received the IACM Computational Mechanics Award in 2002. He was elected to the Fellowship of the Royal Academy of Engineering in 1997.

## Professor Brian Clarkson FREng

Professor Brian Leonard Clarkson is a professional aeronautical engineer who started his career as a dynamics engineer at the de Havilland Aircraft Company from 1953 to 1957. He then moved to the Aeronautics Department at Southampton University, initially as a Sir Alan Cobham Research Fellow. He was appointed lecturer in the Aeronautics Department in 1958 and senior lecturer in the University’s Institute of Sound and Vibration Research (ISVR) in 1964.

In 1967, he was appointed Professor of Vibration Studies and Director of the ISVR. He was awarded the gold medal of the Royal Aeronautical Society in 1963 and was a Senior Research Associate at NASA in 1970. He was Dean of Engineering from 1978 to 1980 and Deputy Vice Chancellor at Southampton from 1980 to 1982. In 1982, he was appointed Principal of the University of Wales Swansea, a position he held for 12 years. Professor Clarkson was a member of several national and international Committees on acoustics and vibration. He acted as a UK representative on the Council of the Association of Commonwealth Universities and was its Chairman from 1992 to 1993. The Universities of Leeds (1984), Southampton (1987) and Sains Malaysia (1990) awarded him the honorary degree of DSc and he received the honorary degree of LLD from the University of Wales (1996). He was elected to the Fellowship of the Royal Academy of Engineering in 1986.

## Professor J E Ffowcs Williams FREng

Professor John (Shôn) Eirwyn Ffowcs Williams was born in Wales and started his career as an engineering apprentice with Rolls–Royce in Derby in 1951. He studied at Southampton University from 1955 to 1960, holding a Spitfire Mitchell Memorial Scholarship. From 1960 to 1962, he was a senior research fellow in the Aerodynamics Division of the National Physical Laboratory and he then took up an appointment as a senior scientist with Bolt, Beranek and Newman Inc. In 1964, he joined Imperial College as a reader in applied mathematics and was appointed to the Rolls–Royce Chair of Theoretical Acoustics in 1969. He was the first holder of the Rank Chair of Engineering established in 1972 in the field of acoustics at Cambridge University. He was admitted to his Professorial Fellowship at Emmanuel College in 1973 and became Master of the College in 1996. On his retirement in 2002, he was the longest serving professor in the University. He is best known for his contributions to aeroacoustics in general and, in particular, for his pioneering work on noise control for Concorde. He co–founded Topexpress Ltd, a consultancy company in Cambridge specialising in engineering science, he was executive consultant to Rolls Royce and a director of VSEL plc. In 1984, he was awarded the Rayleigh Medal by the UK Institute of Acoustics. He was awarded the honorary degree of DSc by the University of Southampton and elected to the Fellowship of the Royal Academy of Engineering in 1988.