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Dr David Acheson gave the Alan Tayler Lecture for 2004 at St Catherine's College, Oxford. Title: 1089 and All That.

Frances Kirwan has been awarded an EPSRC Senior Research Fellowship for five years, starting at Easter 2005. (The EPSRC usually awards three such fellowships each year in engineering and the physical sciences). She will be working on a research project in algebraic geometry, studying moduli spaces of complex algebraic curves.

Roger Penrose was given an honorary degree by the University of Waterloo (Ontario, Canada) on 2 October 2004.

Roger Penrose received the (first) Amaldi Prize by the Italian Society for Relativity and Gravitation on 13 Sept, 2004

Prof. Dominic Welsh has been awarded a three month Visiting Oxford Fellowship at the University of Canterbury beginning on 1 September 2005.

Terence John Lyons, Wallis Professor of Mathematics, St. Anne's College, University of Oxford was named Fellow of the Institute of Mathematical Statistics (IMS). The induction ceremony took place July 28, 2004 at the IMS Annual Meeting in Barcelona, Spain.

Professor Lyons received the award for fundamental contributions to analysis and probability, ranging from those of a purely geometric character to applications in financial management.

The prize for the best short talk in the Mathematical and Physical Sciences Student 2004 Symposium on a graduate research project was awarded to Katerina Kaouri, OCIAM, for her talk "Modelling Sonic Boom".

David Acheson has been awarded a National Teaching Fellowship worth £50,000 in recognition of 'his outstanding contribution to learning and teaching'. He plans to use the award to attempt a breakthrough in the communication of mathematics, particularly to students who are about to start at university.

Congratulations to Roger Penrose on the award of the 2004 De Morgan Medal for `his many deep and important contributions to mathematical physics'. The citation describes Roger as `one of the really original thinkers of our time'.

Congratulations to Boris Zilber on the award of the Senior Berwick Prize for his paper "Exponential sums equations and the Schanuel conjecture." J. London Math. Soc. (2) 65 (2002).

Congratulations to Ulrike Tillmann on the award of a Whitehead Prize. Her citation describes her as `one of the world leaders in the study of the moduli spaces of algebraic curves'.

Congratulations also to Richard Jozsa on the award of the Naylor Prize. Richard, now at Bristol, was a graduate student of Roger Penrose in Oxford; and also to another Whitehead Prize winner and former Oxford student, Richard Thomas, now at Imperial College.

Congratulations to Marc Lackenby on the award of an advanced fellowship.