Researcher (M/F) in algebraic surfaces
This post involves studying the geometric properties of certain mathematical figures using algebra. The simplest example of an algebraic surface is a sphere or a cone. Both are described by simple equations, they are the zeros of some polynomials in space, but polynomials can take on intricate expressions, making the mastery of sophisticated tools of algebraic geometry essential for studying their properties. Such surfaces can have many points that look like the top of a cone, and you just need to “cut” a small portion of the surface near the point to see it appear. It is a matter of determining the maximum number of these points.