Publications
K. Yeon, The Hasse principle for homogeneous polynomials with random coefficients over thin sets, Proc. Lond Math. Soc. (accepted), 81pp; arXiv: 2305.08035.
C. Oh and K. Yeon, An extended Vinogradov's mean value theorem, Trans. Amer. Math. Soc. (accepted) , 20pp; arXiv: 2506.01751.
H. Lee, S. Lee and K. Yeon, The local solubility for homogeneous polynomials with random coefficients over thin sets, Mathematika (2024); 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.
Submitted
D. Flores and K. Yeon, The Hasse principle for random homogeneous polynomials in thin sets, submitted, 21pp; arXiv: 2506.01291.
In preparation
T. D. Wooley and K. Yeon, On two forms in many variables of different degrees.
J. Li and K. Yeon, The local solubility for homogeneous polynomials with random coefficients over quadrics of rank 4.
Thesis
On Diophantine problems in many variables, Ph.D thesis (2024), Purdue University, 247pp.