The Lonely Runner Conjecture

With Matt Stoffregen, I have worked on finding a total solution to the Lonely Runner Conjecture, a decades-old open problem in Number Theory related to Diophantine Approximation. Our work was successful in showing that the problem was "nearly" solved, and that conventional approaches would not work.

Promising angles of attack have related to dynamical systems theory and optimization, but as of yet there is no total solution. 

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