a list compiled by Alex Kasman (College of Charleston)
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A team of the world's top mathematicians is sent to examine an alien artifact which seems to have a tremendous amount of knowledge "written" on it. (I've put "written" in quotes because not only is the information encoded in what is presumably alien mathematical symbols, it seems that it may even be contained in the fractal structure of the object itself.) Since he speculates that it may even be beyond the understanding of the brilliant human minds that are being sent to study it, our hero uses an experimental treatment to enhance his own brain with the hope that he will be able to comprehend it. The story really begins when he wakes up from suspended animation, two hundred years later, with no memory of precisely what happened, but in a world that has changed quite a bit in the intervening period. His fellow mathematicians from the expedition now rule the Earth, and then there is the beautiful princess that he finds strangely familiar.
There are a number of interesting things about this "space opera". It takes place in a future where the two "superpowers" are Latin America and India following a global religious war. Texas, the home of the protagonist, is a backwards part of a thirdworld nation. There is an extremely cool section about mining an antimatter star. (Is that original to this book or did Wright get it from somewhere?). And, of course, there are lots of mathematical terms thrown around. As far as I can tell, it does not actually matter if you know what the words mean, since it does not make much sense in any case...but it sure sounds cool. For instance, after he first takes the brain enhancing drug, the protagonist realizes the limits of human language and creates a more efficient language based on complex analysis and the Riemann Zeta function (though the rest of the crew, for some reason, doesn't seem to understand him when he tries to communicate with them using it). Somehow the character uses Diophantine equations (like the famous Fermat's Last Theorem problem) to figure out how a baby appeared on board the ship despite the fact that the entire crew was male. As we meet the crew members on the original mission, we learn a bit about their mathematical interests. One, for example, is described as being an expert in the topology of algebraic surfaces, and the narrator comments that this is likely to be useful since the alien artifact seems to be making use of knot theory. Strangely, two of the crew members are described using the phrase "His work was on the Poincaré Conjecture". This is doubly strange because this same phrase was used on pages 36 and 37 (is it an editing error?) and also because the Poincaré Conjecture is now settled and so I do not see what work there would be for someone in it in the future. (Basically, Poincaré hypothesized that there would not be any geometric objects with certain topological properties other than the ndimensional equivalent of a sphere. It turns out that he was right, as was proved by Perelman who completed Hamilton's idea for proving it true. So, what else is there to say?) A few other mathematical remarks:
This is an intriguing and well written science fiction novel, and for those who are interested in math as well as aliens, the fact that mathematical terms are tossed around throughout (albeit nonsensically) just makes it better. 
Buy this work of mathematical fiction and read reviews at amazon.com. 
(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.) 

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Great News for 1 April 2016: The long awaited cover of the comic book adaptation of The Adventures of Topology Man has been released. See here for details.
(Maintained by Alex Kasman, College of Charleston)