3 papers
math.NT2021
Local uniformity through larger scales
Miguel N. Walsh
By associating frequencies to larger scales, we provide a simpler way to derive local uniformity of multiplicative functions on average from the results of Matomäki-Radziwill.
math.AG2019
Concentration estimates for algebraic intersections
Miguel N. Walsh
We present an approach over arbitrary fields to bound the degree of intersection of families of varieties in terms of how these concentrate on algebraic sets of smaller codimension…
math.AG2018
The polynomial method over varieties
Miguel N. Walsh
We establish sharp estimates that adapt the polynomial method to arbitrary varieties. These include a partitioning theorem, estimates on polynomials vanishing on fixed sets and bou…