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Hot off the presses!
So let’s talk a little more in detail about the guts of the previous paper I just discussed. Just as a recap, the idea of that paper came from the fact that in MacMahon’s paper there were 8 variations discussed, … Continue reading
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Like cats, mathematicians like boxes.
Different ways of counting To introduce the topic of my nextÂ paper, I want to step back a little bit to something classically studied by mathematicians. In fact, it has a pretty rich and interesting history going back to a major … Continue reading
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When Percy met Pafnuty
Math papers are an odd beast. They out of necessity contain a lot of technical details and can appear quite abstruse. They are filled with jargon, formulĂ¦, and other bits that can easily scare the nonspecialist reader. At the same … Continue reading
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Tropical Geometry, part 4.
We’re finally at the point where we can provide the first definition of Tropical Geometry, and for the sake of personal historicity, it will be the one that I didn’t particularly like when I learned of it. Remember that the … Continue reading
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Tropical Geometry, part 3.
So we have discussed the following idea. Given a geometric object , we can study it by studying the functions that are defined on , which we will write as (I’m not actually sure what the stands for, but this … Continue reading
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Tropical Geometry, part 2.
So last post we went over the origin of the name “Tropical Geometry”, but not what it was. I would like to start to do that, but I think that in order to do so we have to take a … Continue reading
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Tropical Geometry, part 1.
Tropical geometry is a funny one. When I first learned of it, I had two reactions: first, I hated the name, and second, I thought it was unmotivated and was really just generalization for the sake of generalization. I was … Continue reading
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