Random polynomial equations
J. Li and K. Yeon, The local solubility for random homogeneous polynomials parameterized by quadrics of rank 3 or 4 (In preparation).
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.
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.
Forms in many variables
W. Kim and K. Yeon, On the system of quadratic forms in many variables (In prepartion).
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.
S. T. Parsell and K. Yeon, On the density of rational lines on diagonal cubic hypersurfaces, II, Bull. London Math. Soc. 58 (2026), no.10, e70528.; arXiv: 2605.30549, doi/10.1112/blms.70528.
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.
Theory of exponential sums
C. Oh and K. Yeon, An extended Vinogradov's mean value theorem, Trans. Amer. Math. Soc. 379 (2026), no.4, 2865-2885; arXiv: 2506.01751, doi.org/10.1090/tran/9570.
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.
Thesis
On Diophantine problems in many variables, Ph.D thesis (2024), Purdue University, 247pp; purdue.edu/articles/thesis.