2025
Ancient Gauss curvature flows of bounded width [ arXiv ] (with B. Choi and D. Noh)
A gradient estimate for the linearized translator equation [ arXiv ] (with R. Haslhofer and O. Hershkovits)
The linearized translator equation and applications [ arXiv ] (with R. Haslhofer and O. Hershkovits)
Convergence of Ricci flow and long-time existence of Harmonic map heat flow [ arXiv ] (with Y. Lai)
Revisiting ancient noncollapsed flows in R^3 [ arXiv ] (with R. Haslhofer)
2024
Classification of ancient noncollapsed flows in R^4 [ arXiv ] (with R. Haslhofer)
Revisiting generic mean curvature flow in R^3 [ arXiv ] (with O. Chodosh, C. Mantoulidis, and F. Schulze)
J. Reine Angew. Math. (2026), part of the special bicentennial issue.
Translating surfaces under flows by sub-affine-critical powers of Gauss curvature [ arXiv ] (with B. Choi and S. Kim)
Uniqueness of tangent flows at infinity for finite-entropy shortening curves [ arXiv | Journal ] (with D.H. Seo, W.B. Su, and K.W. Zhao)
Geom. Funct. Anal. 35 (2025), 408–462.
Ancient mean curvature flows with finite total curvature [ arXiv| Journal ] (with J. Huang and T. Lee)
Trans. Amer. Math. Soc. 378 (2025), 6401-6424.
Monge-Ampère equations with right-hand sides of polynomial growth [ arXiv | Journal ] (with B. Choi and S. Kim)
Nonlinear Anal. 260 (2025), 113849.
Linearly stable self-similar solutions of semilinear heat equations [ arXiv ] (with J. Huang)
Continuous family of surfaces translating by powers of Gauss curvature [ arXiv ] (with B. Choi and S. Kim)
Adv. Math. 483 (2025), 110681.
2023
Enhanced profile estimates for ovals and translators [ arXiv | Journal ] (with R. Haslhofer and O. Hershkovits)
Adv. Math. 453 (2024), 109853.
Adv. Math. 458 (2024), 109959.
Mean curvature flow with generic initial data II [ arXiv ] (with O. Chodosh and F. Schulze)
2021
Classification of noncollapsed translators in R^4 [ arXiv | Journal ] (with R. Haslhofer and O. Hershkovits)
Camb. J. Math. 11(3) (2023), 563–698.
A nonexistence result for wing-like mean curvature flows in R^4 [ arXiv | Journal ] (with R. Haslhofer and O. Hershkovits)
Geom. Topol. 28 (2024), 3095–3134.
Mean curvature flow with generic low-entropy initial data [ arXiv | Journal ] (with O. Chodosh, C. Mantoulidis, and F. Schulze)
Duke Math. J. 173(7) (2024), 1269-1290.
2020 (Moved to KIAS)
Classification of ancient flows by sub-affine-critical powers of curvature in R^2 [ arXiv | Journal ] (with L. Sun)
J. Funct. Anal. 288(9) (2025), 110865.
Nonlinear Anal. 216 (2022), 112673.
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder [ arXiv | Journal ] (with B. Choi and P. Daskalopoulos)
J. Differential Geom. 127 (2024), 77-104.
Mean curvature flow with generic initial data [ arXiv | Journal ] (with O. Chodosh, C. Mantoulidis, and F. Schulze)
Invent. Math. 237 (2024), 121–220,
2019
Ancient asymptotically cylindrical flows and applications [ arXiv | Journal ] (with R. Haslhofer, O. Hershkovits, and B. White)
Invent. Math. 229(1) (2022), 139–241.
Ancient gradient flows of elliptic functionals and Morse index [ arXiv | Journal ] (with C. Mantoulidis)
Amer. J. Math. 144(2) (2022), 541-573.
Convergence of flows by powers of Gauss curvature to translating soliton [ arXiv | Journal ] (with B. Choi and P. Daskalopoulos)
Adv. Math. 397 (2022), 108207.
2018
Ancient low entropy flows, mean convex neighborhoods, and uniqueness [ arXiv | Journal ] (with R. Haslhofer and O. Hershkovits)
Acta Math. 228(2) (2022), 217-301.
Convergence of Curve Shortening Flow to Translating Soliton [ arXiv | Journal |corrigendum ] (with B. Choi and P. Daskalopoulos)
Amer. J. Math. 143(4) (2021), 1043-1077.
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions [ arXiv | Journal ] (with S. Brendle)
Geom. Topol. 25 (2021), 2195–2234.
2017 (Moved to MIT)
Uniqueness of convex ancient solutions to mean curvature flow in R^3 [ arXiv | Journal ] (with S. Brendle)
Invent. Math. 217(1) (2019), 35-76.
2016 (Columbia)
Translating solutions to the Gauss curvature flow with flat sides [ arXiv | Journal ] (with P. Daskalopoulos and K.A. Lee)
Anal. PDE 14(2) (2021), 595-616.
Asymptotic behavior of flows by powers of the Gaussian curvature [ arXiv | Journal ] (with S. Brendle and P. Daskalopoulos)
Acta Math. 219(1) (2017), 1-16.
Uniqueness of closed self-similar solutions to the Gauss curvature flow [ arXiv ] (with P. Daskalopoulos)
included in BCD [ arXiv | Journal ] above.
The evolution of complete non-compact graphs by powers of Gauss curvature [ arXiv | Journal ] (with P. Daskalopoulos, L. Kim, and K.A. Lee)
J. Reine Angew. Math. 757 (2019), 131-158.
Calc. Var. PDE 61 (2022), 73.