In 1996, Graham and Lehrer introduced the notion of cellular algebra. Graham and Lehrer proved that many known algebras are cellular, for instance: the Ariki-Koike algebra (this includes the Iwahori-Hecke algebras of type A and B), the Brauer algebra, the Temperley-Lieb algebra. Namely, the latter algebra has been introduced in connection with statistical mechanics. Later, using some deep properties of Kazhdan-Lusztig bases Geck proved that the Iwahori-Hecke algebra associated with any finite Coxeter group (or, equivalently, any real reflection group) is cellular. In this talk, I will introduce the notion of skew cellular algebra that we developed in a joint work with Jun Hu and Andrew Mathas. This notion generalises Graham and Lehrer’s definition of cellular algebra; our main result is that the Hecke algebra associated with any irreducible complex reflection group $G(r,p,n)$ of the infinite series (that is, all but finitely many irreducible complex reflection groups) is a skew cellular algebra. We will also give the example of the Temperley-Lieb algebra of $G(r,p,n)$, introduced recently by Lehrer-Lyu, which, using our machinery of skew cellular algebras, was shown to be cellular.