Bill works on puzzles and games. He also work on cake cutting, to be fair.

Give two interpreations of this sentence. 

Interpretation 1: The speaker is first saying that Bill works on puzzles and games but then
remembers that bill ALSO works on fair division--- problems like if you want to divide
a cake between n people so that they all get at least 1/n, what do you do (they have
different valuations on the cake).

Interpretation 1: The speaker is first saying that Bill works on puzzles and games which
is light and non-serious math, but he wants to correct himself (or at least not
embarass Bill) so he adds in cake cutting as a topic Bill works on, to be fair
in his portrayal of Bill. This might not work since cake cutting sounds like its
also not serious math, though there has been some serious work done on it.
(Bill has a paper where he measures how many cuts three different unbounded protocols
take by using ordinals. You can find it on arXivs. Serious? Not Serious?)