Qiang Guang


Department of Mathematics

University of California, Santa Barbara

Santa Barbara, CA 93106-3080

Office: South Hall, Room 6723

Email: guang@math.ucsb.edu

I am a visiting assistant professor in the math department at UCSB. I completed my Ph.D. at MIT under the supervision of William P. Minicozzi II.

Current Teaching: Fall 2017: Math 108A, Introduction to Linear Algebra

Office Hours: Monday 2-4pm, Wednesday 2-3pm in South Hall 6723

Research Interests:

Publications and Preprints:

  1. Curvature estimates for stable free boundary minimal hypersurfaces, joint with Martin Li and Xin Zhou. https://arxiv.org/abs/1611.02605
  2. On the rigidity of mean convex self-shrinkers, joint with Jonathan J. Zhu. http://arxiv.org/abs/1603.09435. To appear in Int. Math. Res. Not.
  3. Rigidity and curvature estimates for graphical self-shrinkers, joint with Jonathan J. Zhu. http://arxiv.org/abs/1510.06061
  4. Volume growth, entropy and stability for translating solitons. https://arxiv.org/abs/1612.05312. To appear in Comm. Anal. Geom.
  5. Gap and rigidity theorems of $\lambda$-hypersurfaces. http://arxiv.org/abs/1405.4871
  6. Self-shrinkers with second fundamental form of constant length. http://arxiv.org/abs/1405.4230 . To appear in Bull. Aust. Math. Soc.
  7. Self-shrinkers and translating solitons of mean curvature flow, PhD thesis, Massachusetts Institute of Technology, 2016.

Teaching and Grading: