David Crighton Medal award

The David Crighton Medal award was instituted in 2002 by the Institute of Mathematics and its Applications and the London Mathematical Society in memory of Professor David George Crighton FRS. The award is made by the Councils of the Institute and the Society, with the first award in 2003. Since 2015. the award has been made biennially. The silver gilt medal is awarded to a mathematician who is normally resident in the mathematical community represented by the two organisations for services both to mathematics and to the mathematical community.

2019 David Crighton Medal

We are delighted to announce that Ken Brown, Professor of Mathematics at the University of Glasgow, has been awarded the 2019 David Crighton medal by the Councils of the LMS and the IMA for his seminal contributions to noncommutative algebra and for his remarkable record of service and dedication to the UK mathematics community.

Ken has the rare ability to apply subtle ring-theoretic ideas to solve important problems in related areas.  In the 1970s he solved the zero-divisor question for abelian-by-finite groups, introducing the key homological techniques which would form the basis of all later major progress in this area; according to Formanek, he made “the most important and original contribution to the problem since Higman’s [1940] work.”  In the 1980s he introduced the class of homologically homogeneous rings: in the last five years, these have been key in the study of noncommutative geometry, derived categories, and moduli spaces.  His focus then shifted to the theory of quantum groups and Hopf algebra where he harnessed the combination of Hopf algebras and homological algebra to confirm important conjectures of Kac-Weisfeiler and DeConcini-Kac-Procesi in representation theory.  In the last decade he has proved core results in several topics: noetherian Hopf algebras; number theory through Iwasawa algebras; Poisson geometry in Lie theory; and symplectic reflection algebras.  Ken wishes to acknowledge his many collaborators in his research.  He was elected a Fellow of the Royal Society of Edinburgh in 1993.

See the full citation here.

General regulations:

  • The David Crighton Medal award was instituted by the Institute of Mathematics and its Applications and the London Mathematical Society in memory of Professor David George Crighton FRS.
  • The award of the David Crighton Medal shall be considered biennially by the Councils of the Institute and the Society, with the award being in odd-numbered years.
  • No person shall be eligible to receive the Medal more than once. The medal may not be awarded to previous recipients of the Gold Medal of the Institute or the De Morgan Medal of the Society.
  • The Medal, which shall be silver gilt, shall be awarded to a mathematician who is normally resident in the mathematical community represented by the two organisations on the 1st January of the year of the award.
  • The Medal shall be awarded to an eminent mathematician for services both to mathematics and to the mathematical community.
  • Any amendment to these Regulations for the award of the Medal shall be made at the October meetings of both Councils in any year, at which the proposed amendment must receive the support of an absolute majority of those present at each meeting, whether voting or not, in order to take effect.

The award:

The medal-winner shall normally be awarded his or her Medal at a joint meeting of the Institute and the Society held in year (X+1), and be invited to give a lecture.

Past Crighton Medal winners: