PROFESSOR BRYAN BIRCH FRS, of the University of Oxford, is awarded the De Morgan Medal in recognition of his influential contributions to modern number theory. His joint work with Peter Swinnerton-Dyer on elliptic curves created an exciting new area of arithmetic algebraic geometry; the Birch-Swinnerton-Dyer conjecture remains after 40 years one of the most tantalising problems in modern mathematics. Birch's work on Heegner points has led to huge advances in the arithmetic of elliptic curves.
PROFESSOR BÉLA BOLLOBÁS, of the University of Cambridge, is awarded the Senior Whitehead Prize. Béla Bollobás is a world leader in combinatorics and has made fundamental contributions to almost every aspect of this huge area of mathematics. As well as all his papers, he has written a string of extraordinarily influential textbooks, many of which have had the effect of defining (or in some cases redefining) whole areas of research.
PROFESSOR MICHAEL GREEN FRS, of the University of Cambridge, is awarded the Naylor Prize and Lectureship in Applied Mathematics for his discovery of superstring theory and many subsequent significant contributions to the subject.
DR NIKOLAY NIKOLOV, of the University of Oxford and Imperial College London, is awarded a Whitehead Prize for several important advances in group theory, especially in profinite groups and asymptotic aspects of arithmetic groups and finite simple groups.
DR OLIVER RIORDAN, of the University of Cambridge, is awarded a Whitehead Prize for his major contributions to graph polynomials, random graphs, extremal combinatorics, models of large-scale real-world graphs, and percolation theory.
DR IVAN SMITH, of the University of Cambridge, is awarded a Whitehead Prize for his work on symplectic topology. Smith’s work is notable for the breadth of techniques employed, often blending ideas from algebraic geometry and topology in novel ways.
DR CATHARINA STROPPEL, of the University of Glasgow, is awarded a Whitehead Prize for her contributions to representation theory, in particular in the framework of categorifications, and its applications to low-dimensional topology.
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