On the field of definition of a cubic rational function and its critical points

02/07/2017 - 12:15pm
02/07/2017 - 1:10pm
Bianca Thompson (HMC)

Using essentially only algebra, we give a proof that a cubic rational function over the complex numbers with real critical points is equivalent to a real rational function. We also show that the natural generalization to the p-adic rationals and number fields fails.

Millikan 2099 (Pomona College)