2024

• Uniqueness of tangent flows at infinity for finite-entropy shortening curves [ arXiv ] (with D.H. Seo, W.B. Su, and K.W. Zhao)

• Ancient mean curvature flows with finite total curvature [ arXiv ] (with J. Huang and T. Lee)

• Monge-Ampère equations with right-hand sides of polynomial growth [ arXiv ] (with B. Choi and S. Kim)

• 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)

2023

• Enhanced profile estimates for ovals and translators [ arXiv ] (with R. Haslhofer and O. Hershkovits)

• Curvature bound for L_p Minkowski problem [ arXiv ] (with M. Kim and T. Lee)

• 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 ] (with R. Haslhofer and O. Hershkovits)

Geom. Topol.  to appear

• Translating surfaces under flows by sub-affine-critical powers of Gauss curvature [ arXiv ] (with B. Choi and S. Kim)

• 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 ] (with L. Sun)

• Ancient finite entropy flows by powers of curvature in R^2 [ arXiv | Journal ] (with L. Sun)

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. 

• The Q_k flow on complete non-compact graphs [ arXiv | Journal ] (with P. Daskalopoulos)

Calc. Var. PDE  61 (2022), 73.