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Algebra: what is it good for?

You only get to say “absolutely nothing” if you sing it. Today I’m headed to Hampshire College to talk about ideals, varieties, and their applications. If you were lucky enough to sit through my job talk, you already know (or at least already dozed through) what I’ll talk about. Starting with a 4 by 4 sudoku puzzle, I’ll define ideals and varieties and explain how they’re useful for solving problems (like… a 4 by 4 sudoku puzzle).