8 citations · 23 across the 9 of their papers we have counts for
9 papers
Topological complexity of finding flex points on cubic plane curves
Weiyan Chen, Zheyan Wan
We prove a lower bound for the topological complexity, in the sense of Smale, of the problem of finding a flex point on a cubic plane curve. The key is to bound the Schwarz genus o…
Choosing points on cubic plane curves: rigidity and flexibility
Ishan Banerjee, Weiyan Chen
Every smooth cubic plane curve has 9 flex points and 27 sextatic points. We study the following question asked by Farb: Is it true that the known algebraic structures give all the…
Stability in the cohomology of the space of complex irreducible polynomials in several variables
Weiyan Chen
We prove that the space of complex irreducible polynomials of degree in variables satisfies two forms of homological stability: first, its cohomology stabilizes as incr…
Obstructions to choosing distinct points on cubic plane curves
Weiyan Chen
Every smooth cubic plane curve has 9 inflection points, 27 sextatic points, and 72 ``points of type nine". Motivated by these classical algebro-geometric constructions, we study th…
Twisted cohomology of configuration spaces and spaces of maximal tori via point-counting
Weiyan Chen
We consider two families of algebraic varieties indexed by natural numbers : the configuration space of unordered -tuples of distinct points on , and the sp…
Analytic number theory for 0-cycles
Weiyan Chen
There is a well-known analogy between integers and polynomials over , and a vast literature on analytic number theory for polynomials. From a geometric point of view, polynomi…