Ari Laptev (born August 10, 1950) is a mathematician working on the spectral theory of partial differential equations.

His PhD was obtained in 1978 at Leningrad State University under the supervision of Michael Solomyak.

[1] He is currently Professor at both the KTH in Stockholm and Imperial College London.

From 2001 to 2003 Laptev served as the President of the Swedish Mathematical Society.

[1] In the years 2007–2010 he served as the President of the European Mathematical Society.