## Xin Zhou## Assistant ProfessorAddress: Department of MathematicsSouth Hall, Room 6501 University of California Santa Barbara Santa Barbara, California 93106 USA E-mail: zhou "at" math.ucsb.edu |

**Geometry and Analysis on Manifolds 2017**.

I am organizing the **UCSB Differential Geometry Seminar**.

I am a member of the Geometry group. Before moving to UCSB, I was a CLE Moore instructor in the Math department at MIT. I received my PhD from Stanford University in 2013 with Richard M. Schoen as my advisor. Here is my **Curriculum Vitae**.

- Differential Geometry, Calculus of Variations, General Relativity.

- NSF Grant DMS-1406337, 2014-2017.

- Min-max theory for free boundary minimal hypersurfaces I - regularity theory (joint with Martin Li),
*arXiv:1611.02612.* - Curvature estimates for stable free boundary minimal hypersurfaces (joint with Martin Li),
*arXiv:1611.02605.*

- Sweeping out 3-manifold of positive Ricci curvature by short 1-cycles via estimates of min-max surfaces (joint with Y. Liokumovich), accepted by
*International Mathematics Research Notices.**arXiv:1510.02896v1.* - Entropy of closed surfaces and min-max theory (joint with D. Ketover), accepted by
*J. Differential Geometry,**arXiv:1509.06238.* - Existence of minimal surfaces of arbitrary large Morse index (joint with Haozhao. Li),
*Calculus of Variations and Partial Differential Equations, 2016, 55(3), 1-12.* - Min-max hypersurface in manifold of positive Ricci curvature, accepted by
*J. Differential Geometry,**arXiv:1504.00966.* - On the free boundary min-max geodesics,
*International Mathematics Research Notices Vol. 2016, No. 5, pp. 1447-1466*. - Min-max minimal hypersurface in $(M^{n+1}, g)$ with $Ric_{g}>0$ and $2\leq n\leq 6$,
*J. Differential Geometry, 100 (2015) 129-160.* - Mass angular momentum inequality for axisymmetric vacuum data with small trace,
*Communication in Analysis and Geometry, 22, (2014) 519-571.* - Convexity of reduced energy and mass angular momentum inequalities (jointed with R. Schoen),
*Ann. Henri Poincar\'e, 14 (2013), 1747-1773.* - On the existence of min-max minimal surfaces of genus g≥ 2, accepted by
*Communications in Contemporary Mathematics,**arXiv:1111.6206.* - On the existence of min-max minimal torus,
*J. Geom. Anal. 20 (2010), 1026-1055.*

*Introduction to the min-max theory for minimal surfaces*: Hand-written lecture notes for a topic class on the min-max theory of minimal surfaces in 2013.*Lecture notes on minimal surfaces*: This series of lecture notes were taken for the topic class on minimal surfaces given by Professor Rick Schoen in the Winter quarter of 2012 at Stanford.*Introduction to Mathematical General Relativity*: This series of lecture notes were taken for the topic class on mathematical General Relativity given by Professor Rick Schoen in the spring quarter of 2012 at Tsinghua University.

*Min-max minimal hypersurface with free boundary*: This is the video of the lecture given in the Geometric Analysis and General Relativity workshop at BIRS, Banff, July 2016.*Geometric variational theory and applications*: This is the job talk slides given during Fall 2015.