Chi Hoi Yip

collaborators

8 papers

math.NT2026

A weighted entropy approach for the quadratic inverse large sieve conjecture

Ernie Croot, Chi Hoi Yip

The quadratic inverse large sieve problem predicts that the examples sharp at the square-root threshold are essentially quadratic. Hanson proved the first unconditional result in t…

math.NT2026

A combinatorial large sieve for Sidon sets, distances, and norm forms

Ernie Croot, Junzhe Mao, Cosmin Pohoata +2

We develop a new combinatorial large sieve method for sets with bounded algebraic multiplicities. The method exploits algebraic splitting modulo many small primes: local congruence…

math.CO2026

The Frankl-Pach upper bound is not tight for any uniformity

Gennian Ge, Zixiang Xu, Chi Hoi Yip +2

For any positive integers $n \geq d + 1 \geq 3$ , what is the maximum size of a $(d + 1)$ -uniform set system in $[n]$ with VC-dimension at most $d$ ? In 1984, Frankl and Pach initiated the s…

math.CO2026

An ErdÅs-Ko-Rado theorem for binary codes

Shamil Asgarli, Chi Hoi Yip

We study intersecting families of words from the ErdÅs-Ko-Rado perspective. When the alphabet size is $2$ , a maximum intersecting family is not necessarily a star. However, we pro…

math.NT2026

Hilbert cubes in sets with arithmetic properties

Ernie Croot, Junzhe Mao, Chi Hoi Yip

In this paper, we introduce new general frameworks for estimating the maximal dimension of Hilbert cubes contained in finite truncations of arbitrary sets. As applications, we inve…

math.NT2026

Diophantine tuples and product sets in shifted powers

Ernie Croot, Chi Hoi Yip

Let $k \geq 2$ and $n \neq = 0$ . A Diophantine tuple with property $D_{k} (n)$ is a set of positive integers $A$ such that $ab + n$ is a $k$ -th power for all $a, b \in A$ with $a \neq = b$ . Such…

A weighted entropy approach for the quadratic inverse large sieve conjecture

A combinatorial large sieve for Sidon sets, distances, and norm forms

The Frankl-Pach upper bound is not tight for any uniformity

An ErdÅs-Ko-Rado theorem for binary codes

Hilbert cubes in sets with arithmetic properties

Diophantine tuples and product sets in shifted powers

An ErdÅs-Ko-Rado theorem for binary codes