<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN"> <HTML> <HEAD> <META name="owner" content="webmaster@lms.ac.uk"> <META name="author" content="F.K. Kirwan"> <META name="created" content=""> <META name="changed" content="21.06.04"> <META name="keywords" content="LMS, london, mathematical, society, policy, prizes, prize, de morgan, Frohlich, senior berwick, whitehead, naylor"> <META name="description" content="Description of the prizes awarded by the LMS in 2001"> <LINK rel="home" href="/"> <LINK rel="up" href="/policy/"> <LINK rel="toc" href="/contents.html"> <!-- LMS start stylesheet <1042254010> --> <!-- LMS end stylesheet --> <TITLE>LMS Prizes 2005</TITLE> </HEAD> <!-- LMS start bodytag <1042254010> --> <body bgcolor="#fffacd" text="#001050" link="#2020f0" alink="#ff0000" vlink="#f08070" style="font-family:arial,helvetica,sans-serif; font-size:small"> <a name="TOP"></a> <base target="main"> <!-- LMS end bodytag --> <!-- LMS start navbar section="policy" <1042254010> --> <!-- LMS end navbar --> <center> <H2>Prize winners 2005</H2> </center> <center> <h3 align="left">PÓLYA PRIZE</h3> </center> <P>PROFESSOR SIR MICHAEL BERRY, FRS, of the University of Bristol is awarded the Pólya Prize in recognition of his many profound and highly innovative contributions to diverse areas of mathematics and mathematical physics.</P> <P>He has made fundamental contributions and stimulated research in many directions, especially in optics, wave theory, quantum chaology, quantum mechanics and the Berry phase, asymptotics and the distribution of the zeros of the Riemann zeta function. He has identified and utilised inter-relationships between these areas in many beautiful ways. His exposition of science and mathematics in articles and lectures is inspirational both to specialists and to the general public.</P> <h3 class=body_sub_heads>SENIOR WHITEHEAD PRIZE</h3> <P>PROFESSOR KEITH MOFFATT, FRS, of the University of Cambridge is awarded the Senior Whitehead Prize for his outstanding contributions to applied mathematics, especially in the field of theoretical fluid mechanics. He is also honoured for his substantial and long-lasting influence on, and service to, the UK mathematics community.</P> <P>Keith Moffatt s contributions to mathematical research have been profound and manifold, ranging from low Reynolds number flows at small scales, through turbulence modelling, to astrophysical fluid mechanics on the very large. He is also a dedicated and most effective teacher and lecturer, and he has given much time and energy over his career to national and international administrative duties, including the roles of Director of the Isaac Newton Institute for Mathematical Sciences (1996-2001) and President of the International Union of Theoretical and Applied Mechanics (2000-2004).</P> <h3 class=body_sub_heads>BERWICK PRIZE</h3> <P>DR IAIN GORDON of Glasgow University is awarded the Berwick Prize for his paper  Baby Verma modules for rational Cherednik algebras , published in the <I>Bulletin</I> of the LMS <B>35</B> (2003), 321-336. This is a powerful contribution to the theory of symplectic reflection algebras, made by adapting techniques fundamental to the representation theory of Lie algebras in positive characteristic. The paper s new idea brought dramatic immediate success, answering many important questions of Etingof and Ginzburg, and the methods have the potential for much further progress.</P> <h3 class=body_sub_heads>WHITEHEAD PRIZES</h3> <P>PROFESSOR BEN GREEN of the University of Bristol is awarded a Whitehead Prize for his breakthrough results in combinatorics and combinatorial number theory. Much of his work is motivated by the general problem of finding arithmetic structures in particular sets. His results include an improvement of Bourgain's estimate of the size of arithmetic progressions in sumsets, a proof of the Cameron-Erdös conjecture on sum-free sets of natural numbers, and, following his proof that every set of primes of positive relative upper density contains an arithmetic progression of length three, a recent spectacular theorem with Terence Tao that the primes contain arbitrarily large arithmetic progressions.</P> <P>DR BERND KIRCHHEIM of the University of Oxford is awarded a Whitehead Prize for his fundamental work in several areas of real analysis. His results in geometric measure theory include a proof that rectifiable metric spaces have density one, a metric differentiation theorem, and a surprisingly powerful extension with Ambrosio of the Federer-Fleming theory of currents to general metric spaces. His results in the calculus of variations include a proof that the quasiconvex envelope of a continuously differentiable function remains continuously differentiable and a complete solution to the problem of existence of non-trivial Lipschitz self-maps of the plane whose gradients attain only finitely many values.</P> <P>PROFESSOR NEIL STRICKLAND of the University of Sheffield is awarded a Whitehead Prize for his contributions to algebraic topology. He is an outstanding algebraic topologist, who has contributed significantly to most areas of the subject. His main achievements have been in developing and extending the use of the methods of the theory of formal groups in homotopy theory, and especially in applying them to study elliptic cohomology theories.</P> <P>DR PETER TOPPING of the University of Warwick is awarded a Whitehead Prize for his work on non-linear partial differential equations in geometric analysis. He has made especially important progress in the study of singular behaviour of the harmonic map heat flow in two spatial dimensions by showing that the singular behaviour is unique in great generality and constructing new solutions permitting full understanding of the significance of the condition of monotonicity of energy in the previous existence and uniqueness results. He proved the first results on exponential rates of convergence for the harmonic heat flow in the presence of singularities at infinity.</P> <ul> <li><a href="index.html">Prizes home</a></li> <li><a href="pastwinners.html">Full list of previous Prizewinners</a></li> <li><a href="prizes.html">Summary of the regulations</a></li> </UL> <!-- LMS start footer <1042254010> --> <hr size=4> <table width="100%"><tr> <td valign=top><strong> <a href="#TOP">Back to top</a><BR> <a href="/contents.html">LMS Site Contents</a><BR> <a href="/index.html" target="_top">Home</a></strong></td> <td align=right valign=top><small><I> Editorial Control: P.R. Cooper<br><i><a href="mailto:webmaster@lms.ac.uk">webmaster@lms.ac.uk</a></i> <br> Last changed: 18.07.05 </i></small></td> </tr></table> <!-- LMS end footer --> </BODY> </HTML>