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Re:Fast Database Emerges from MIT Class, GPUs and Student’s ... by wmf on Monday April 22, 2013 @11:46PM (#5593182)
Here's a technical talk: http://www.youtube.com/watch?v=WSvh5ZPrR4w I couldn't find a paper, but fortunately this video is only 10 minutes.

He's got an in-memory column store, so (AFAIK) those are immediate advantages over PostGIS. He's also using pre-rendering of shapes into bitmaps (a form of caching/indexing) along with GPU hardware to accelerate intersection queries. It looks like this is a case where a problem (2D geo data) maps quite naturally to GPU hardware (2D textures) if only you can discover the mapping.

Re:Fast Database Emerges from MIT Class, GPUs and Student’s ... by danbruc on Monday April 22, 2013 @11:54PM (#5593206)
Some really nice ideas in there - I especially like the tweet-to-composite-number-via-word-to-prime-mapping-thing.