Ian David Abrahams (born 15 January 1958) is an English mathematician and held the Beyer Professor of Applied Mathematics at the University of Manchester, 2008–2016. From 2014–16 he was Director of the International Centre for Mathematical Sciences in Edinburgh and in October 2016 he succeeded John Toland as Director of the Isaac Newton Institute for Mathematical Sciences, and N M Rothschild and Sons Professor of Mathematics, in Cambridge. He was President 2007–2009, of the Institute of Mathematics and its Applications. In 2017 he was awarded the IMA/LMS David Crighton Medal for services to mathematics.