ESP Biography
XINKE GUOXUE, MIT Junior studying mathematics
Major: mathematics College/Employer: MIT Year of Graduation: 2015 

Brief Biographical Sketch:
I study math and piano. Past Classes(Clicking a class title will bring you to the course's section of the corresponding course catalog)M7490: quadratic reciprocity in Splash! 2013 (Nov. 23  24, 2013)
Suppose you want to find if a number is a square modulo p. That is, does $$x^2=a \pmod p$$ have a solution? It turns out there is something called quadratic reciprocity that helps to characterize when this equation has a solution.
This class will quickly teach you the facts needed to understand quadratic reciprocity and present an easytoremember elementary proof of it.
M7574: Conic sections extravaganza in Splash! 2013 (Nov. 23  24, 2013)
Ever wondered why cutting a cone (the one that extends infinitely outwards in two direction) with a plane gives you parabola, hyperbola, or ellipse when another standard definition of these 3 conics deal with loci of points? Come to this class to find out why these two definitions are equivalent and possibly learn more fun/interesting facts about conics!
