3 papers
math.AG2019
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…
math.GT2018
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…
math.GT2016
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…