Chapter 101: The Crazy Math Novice_6

The content of Professor Robert's research is essentially about accurately estimating the upper bound of the number of rational points for a given type of algebraic curves, especially high-dimensional ones, which is closely related to the Diophantine equation.

Finding the number of rational points, and then studying the distribution of these rational points.

In essence, the geometric structure of high-dimensional algebraic varieties tends to be more complex, with more intricate singularities, topological properties, and different homological properties, all of which influence the distribution of rational points.

So the research goal of this type of problem is actually just one: to simplify as much as possible the process of finding rational points and to easily find their distribution. It's like being given a high-degree Diophantine equation and quickly determining whether it has a solution and solving it.

Alright, that's how Qiao Yu understands it.