I am interested in simple problems in geometry, topology, and dynamical systems. Much of my research deals with the consequences of allowing a simple pattern or phenomenon to repeat forever. The kinds of patterns and constructions I study are idealized versions of what you would see in everyday life, such as a billiard ball bouncing around on a table, or the pattern of shapes on a turtle shell, or a beam of light reflecting in a series of curved mirrors.
I was born in Los Angeles, in 1966. I got my BS in Mathematics from UCLA in 1987 and
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Richard Evan Schwartz
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