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\title{Abstract for 'Graduation Day'}
\date{January 3, 2010 }
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Wireless devices can exploit the intrinsic broadcast nature of the wireless medium  to gain insight on the communications of the neighboring transmitters.
The act of extracting information from the transmissions overheard  is called \emph{cognition}.
An idealistic approximation of the advantages of  cognition is a model where encoders know messages of other users non causally.
This model is referred to as genie-aided cognition.
In my doctoral thesis we investigate the capacity of two models with genie aided cognition i) the cognitive interference channel and the ii) the interference channel with a cognitive relay.
The cognitive interference channel is obtained from the interference channel by providing one of the encoders with both messages.
Similarly the interference channel with a cognitive relay stems the interference channel when inserting a relay node that has knowledge of both messages.
For the cognitive interference channel we derive a general outer bound and the the largest known achievable region.
For the Gaussian counterpart of this channel we show that our inner and outer bound lie within a gap of at most two bits.
In the deterministic case we show capacity in a class of channels.
For the interference channel with a cognitive relay we derive a general outer bound and capacity in a class of deterministic channels.
We are currently working on showing a constant gap between inner and outer bound for the Gaussian case.
Preliminary results point toward some very interesting transmission strategies of the relay node to efficiently manage the interference.

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