"Parallel poly-pushdown automatic groups" G.Baumslag City College of CUNY Math Department, NAC, Convent Avenue at 138th Street New York, NY 10031 USA E-mail:gilbert@groups.sci.ccny.cuny.edu Abstract: Parallel poly-pushdown automatic groups are generalisations of automatic groups, designed to capture some aspects of computations that can be carried out in parallel. This allows for computations with groups which are not necessarily finitely presented. The notion is the result of joint work of the speaker with Hamish Short and Michael Shapiro.