Publications and preprints

7 Allen-Cahn equation and degenerate minimal hypersurface (with Pedro Gaspar), arxiv.org/abs/2402.18799

6 Mean curvature flow with multiplicity 2 convergence in closed manifolds (with Ao Sun), arxiv.org/abs/2402.04521

5 Mean curvature flow with multiplicity 2 convergence (with Ao Sun), arxiv.org/abs/2312.17457

4 Morse theory for the Allen-Cahn functional (with Pedro Gaspar), arxiv.org/abs/2310.17096 

3 Symmetric mean curvature flow on the n-sphere, arxiv.org/abs/2304.12282 

Nonlinear Analysis, doi.org/10.1016/j.na.2023.113437

2 Mean Curvature Flow on the Three-Sphere. University of Chicago, 2023. Ph.D. thesis [link] 

1 Mean curvature flow and low energy solutions of the parabolic Allen-Cahn equation on the three-sphere (with Pedro Gaspar), arxiv.org/abs/2107.09140 

The Journal of Geometric Analysis, doi.org/10.1007/s12220-023-01347-1