My main areas of interest include:
Experimental models of language transmission (see papers in PNAS, Cognition, Phil Trans B)
Applying similar techniques to the evolution of other behaviours (see papers in Proc Roy Soc B and Psychological Science)
The effects of interaction on language structure (see papers in Cognition, JML, Cognition again)
Biological evolution of language learning biases/strategies (see papers in Phil Trans B and PNAS)
Plus more general questions related to language learning (see e.g. papers on the acquisition of noun class systems in JML, or socially-conditioned variation in Cognitive Psychology)