Careers in Math talk from October 19

Today I saw a talk given by a lady who spoke on some research she does with the probability that two random integers are relatively prime. This has a visual representation in thin trees planted on lattice points of the Cartesian plane. There are interesting parallels between this representation and the idea of relative primality. For example, arbitrarily large squares of hidden trees on that graph can be found, and we know this because we can construct arbitrarily large sets of consecutive integers where any collection of elements of these sets (with one element from each set) is relatively prime. This is difficult to prove and has its roots in number theory.

She presented everything in an exciting way which made it fun to listen to.

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