Gaven John Martin FRSNZ FASL FAMS (born 8 October 1958)[1] is a New Zealand mathematician.[2][3] He is a Distinguished Professor of Mathematics at Massey University, the head of the New Zealand Institute for Advanced Study,[4] the former president of the New Zealand Mathematical Society (from 2005 to 2007),[5] and former editor-in-chief of the New Zealand Journal of Mathematics.[6] He is a former Vice-President of the Royal Society of New Zealand [Mathematical, Physical Sciences Engineering and Technology. His research concerns quasiconformal mappings, regularity theory for partial differential equations, and connections between the theory of discrete groups and low-dimensional topology.[3]