# Ao Sun's Homepage

Massachusetts Institute of Technology

Department of Mathematics

Office: 2-390A

Email:aosun at mit dot edu

I'm Ao Sun, a fifth year graduate student in the Department of Mathematics at MIT. My advisor is William Minicozzi.

I am interested in geometry and PDEs, especially minimal surfaces, constant mean curvature surfaces, and mean curvature flow.

Here is my CV.

### Published Paper

- Min-max minimal disks with free boundary in Riemannian manifolds (with Longzhi Lin and Xin Zhou), arXiv:1806.04664 (2018)

Accepted for publication in Geometry & Topology.
- Compactness and Rigidity of $\lambda$-Surfaces, arXiv:1804.09316 (2018)

Accepted for publication in International Mathematics Research Notices.
- Compactness of Constant Mean Curvature Surfaces in Three Manifold with Positive Ricci Curvature, arXiv:1804.09328 (2018)

Accepted for publication in Pacific Journal of Mathematics.

### Preprints

- Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$(with Douglas Stryker), arXiv:1909.02535 (2019)
- Construction of High Codimension Ancient Mean Curvature Flows
(with Douglas Stryker), arXiv:1908.02688 (2019)
- On the Entropy of Parabolic Allen-Cahn Equation, arXiv:1812.08894 (2018)
- Compactness of self-shrinkers in \mathbb R^3 with fixed genus (with Zhichao Wang), arXiv:1811.05387 (2018)
- Local Entropy and Generic Multiplicity One Singularities of Mean Curvature Flow of Surfaces, arXiv:1810.08114 (2018)
- Singularities of Mean Curvature Flow of Surfaces with Additional Forces, arXiv:1808.03937 (2018)
- Sharp Entropy Bounds for Plane Curves and Dynamics of the Curve Shortening Flow (with Julius Baldauf), arXiv:1808.03936 (2018)
- Carleman Estimate for Surface in Euclidean Space at Infinity, arXiv:1703.08759 (2017)

### Some Notes

Some notes I took at many different places.
### Student Seminar

I am running the geometric analysis student seminar at MIT. In general every week we have a speaker talking about anything the speaker is interested in.

Note this is not the official Geometric Analysis Seminar at MIT.
### Other Activities

I am a George Lusztig PRIMES Mentor in year 2018. PRIMES is "Program for Research in Mathematics, Engineering and Science for High School Students" held by MIT.

I was the cheif editor of *Hesi* from 2013-2014 at Tsinghua University. *Hesi *is a student journal edited by students in Department of Mathematical Sciences, Tsinghua University.
### Some Photos

Beautiful sunset at Boston