Research

Publications

1. K. Yeon,  The global solubility for homogeneous polynomials with random coefficients over quadrics (in preparation), 20pp+.

2.  C. Oh and K. Yeon, An extended Vinogradov's mean value theorem (in preparation), 20pp+.

3.  H. Lee, S. Lee and K. Yeon, The local solubility for homogeneous polynomials with random coefficients over thin sets, submitted, 22pp; arXiv: 2308.13685.

4.  K. Yeon, The Hasse principle for homogeneous polynomials with random coefficients over thin sets, submitted, 81pp; arXiv: 2305.08035.

5.  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.

6.  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.