Wooyeon Kim

collaborators

3 papers

math.DS2026

Determinant values on lattices

Wooyeon Kim, Hee Oh

We study the distribution of determinant values on lattices in $M_{d} (R)$ for $d \geq 2$ . Let $I^ < M_{d} (R)$ be a lattice whose elements all…

math.DS2026

Quantitative Oppenheim in signature $(2, 2)$ via determinant values

Wooyeon Kim, Hee Oh

We give a new proof of the quantitative Oppenheim theorem in signature $(2, 2)$ , originally proved by Eskin-Margulis-Mozes, by recasting the problem as one about determinant values…

math.NT2026

Representations of binary quadratic forms by quaternary quadratic forms

Wooyeon Kim, Andreas Wieser, Pengyu Yang

We prove a local-global principle for primitive representations of binary quadratic forms by quaternary quadratic forms. Our method is a variant of Linnik's ergodic method showing…

Determinant values on lattices

Quantitative Oppenheim in signature (2,2) via determinant values

Representations of binary quadratic forms by quaternary quadratic forms

Quantitative Oppenheim in signature $(2, 2)$ via determinant values