Preprint
K. Yeon, On two forms in many variables of different degrees, 47pp, submitted, arXiv: 2609.17864.
D. Flores and K. Yeon, On weighted forms in many variables, 31pp, submitted, arXiv: 2608.28774.
Publications
S. T. Parsell and K. Yeon, On the density of rational lines on diagonal cubic hypersurfaces, II, Bull. London Math. Soc. (accepted); arXiv: 2605.30549.
K. Yeon, On the density of rational lines on diagonal cubic hypersurfaces, Bull. London Math. Soc. 58 (2026), no.5, e70394; arXiv: 2602.04654, doi/10.1112/blms.70394.
D. Flores and K. Yeon, The Hasse principle for random homogeneous polynomials in thin sets, Mathematika (Wooley's 60th birthday conference special issue) (accepted); arXiv: 2506.01291.
C. Oh and K. Yeon, An extended Vinogradov's mean value theorem, Trans. Amer. Math. Soc. 379 (2025), no.4, 2865-2885; arXiv: 2506.01751, doi.org/10.1090/tran/9570.
K. Yeon, The Hasse principle for homogeneous polynomials with random coefficients over thin sets, Proc. London Math. Soc. (3) 131 (2025), no. 5, e70082; arXiv: 2305.08035, doi.org/10.1112/plms.70082.
H. Lee, S. Lee and K. Yeon, The local solubility for homogeneous polynomials with random coefficients over thin sets, Mathematika 70 (2024), no. 4, e12282; arXiv: 2308.13685, doi/10.1112/mtk.12282.
K. Yeon, Small fractional parts of polynomials and mean values of exponential sums, Internat. Math. Res. Notices (2024), no.1, 635--674; arXiv: 2210.03085, doi.org/10.1093/imrn/rnad082.
K. Yeon, Small fractional parts of binary forms, Quart. J. Math. 74 (2023), no. 4, 1295--1330; arXiv:2203.05535, doi.org/10.1093/qmath/haad024.
In preparation
J. Li and K. Yeon, The local solubility for random homogeneous polynomials parameterized by quadrics of rank 3 or 4.
W. Kim and K. Yeon, On the system of quadratic forms in many variables.
Thesis
On Diophantine problems in many variables, Ph.D thesis (2024), Purdue University, 247pp; purdue.edu/articles/thesis.