Papers

1. An extended Vinogradov's mean value theorem

Changkeun Oh and Kiseok Yeon

To appear in Transactions of the American Mathematical Society

2. On decoupling and restriction estimates

Changkeun Oh

To appear in Mathematical Proceedings of the Cambridge Philosophical Society

3. On the small cap decoupling for the moment curve in R3

Dominique Maldague, Changkeun Oh

4. l^2 decoupling theorem for surfaces in R^3

Larry Guth, Dominique Maldague, Changkeun Oh

To appear in Analysis & PDE

5. Restriction estimates for quadratic manifolds of arbitrary codimensions

Shengwen Gan, Larry Guth, Changkeun Oh

6. Small cap decoupling for the paraboloid in R^n

Larry Guth, Dominique Maldague, Changkeun Oh

To appear in Indiana University Mathematics Journal

7. New bounds for Stein's square functions in higher dimensions

Shengwen Gan, Changkeun Oh, Shukun Wu.

Advances in Mathematics, 2025

8. The Bochner-Riesz problem: an old approach revisited

Shaoming Guo, Changkeun Oh, Hong Wang, Shukun Wu, Ruixiang Zhang

Peking Mathematical Journal, 2024

9. A note on local smoothing estimates for fractional Schrödinger equations 

Shengwen Gan, Changkeun Oh, Shukun Wu

Journal of Functional Analysis, 2022

10. An improved bilinear restriction estimate for the paraboloid in R^3

Changkeun Oh

Mathematische Zeitschrift, 2023

11. Decoupling inequalities for quadratic forms 

Shaoming Guo, Changkeun Oh, Ruixiang Zhang, Pavel Zorin-Kranich

Duke Mathematical Journal, 2023

12. Fourier restriction estimates for surfaces of co-dimension two in R^5

Shaoming Guo, Changkeun Oh

Journal d’Analyse Mathematique, 2022

13. A restriction estimate for surfaces with negative Gaussian curvatures

Shaoming Guo, Changkeun Oh

Peking Mathematical Journal, 2023

14. Decoupling for two quadratic forms in three variables: a complete characterization

Shaoming Guo, Changkeun Oh, Joris Roos, Po-Lam Yung, Pavel Zorin-Kranich

Revista Matematica Iberoamericana, 2022

15. Small cap decoupling inequalities: Bilinear methods

Changkeun Oh

Revista Matematica Iberoamericana, 2022

16. Remarks on Wolff's inequality for hypersurfaces

Shaoming Guo, Changkeun Oh

Mathematical Proceedings of the Cambridge Philosophical Society, 2020

17. Decouplings for three-dimensional surfaces in R^6

Changkeun Oh

Mathematische Zeitschrift, 2018