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math.NT2026
Tower of coverings and polylog-size coverings of rational points
Kenneth Chung Tak Chiu
We prove that a smooth irreducible proper variety over a number field admits polylogarithmic-size coverings of rational points of bounded height if it admits a tower of finite étal…
math.NT2024
Slope-determinant method, complex cellular structures and hypersurface coverings of regular rational points
Kenneth Chung Tak Chiu
We use the determinant method of Bombieri-Pila and Heath-Brown and its Arakelov reformulation by Chen utilizing Bost's slope method to estimate the number of hypersurfaces required…
math.NT2022
Arithmetic sparsity in mixed Hodge settings
Kenneth Chung Tak Chiu
Let be a smooth irreducible quasi-projective algebraic variety over a number field . Suppose is equipped with a -adic étale local system compatible with an admissible…