# Xin Zhou

Address: Department of Mathematics. Stanford University. Stanford, CA 94305-2125

E-mail: xzhou08 "at" math.stanford.edu

Office: Mathematics Department, Building 380, 381B

### Curriculum Vitae

I am a fifth year PhD student in Math department at Stanford University. My advisor is Richard M. Schoen.

### Research Interest:

Geometric analysis; Minimal surfaces; Mathematical General Relativity.

### Papers:

Min-max minimal hypersurface in $(M^{n+1}, g)$ with $Ric_{g}>0$ and $2\leq n\leq 6$. arXiv:1210.2112.

Mass angular momentum inequality for axisymmetric vacuum data with small trace. *submitted, arXiv:1209.1605.*

Convexity of reduced energy and mass angular momentum inequalities.(jointed with R. Schoen) *submitted, arXiv:1209.0019.*

On the existence of min-max minimal surfaces of genus g≥ 2. *submitted, arXiv:1111.6206.*

On the existence of min-max minimal torus. *J. Geom. Anal.(2010)20,1026-1055.*

### Teaching:

Fall 2012. Teaching Assistant. *Math 51: Linear Algebra and Multivariable Calculus.*

Winter 2012. Teaching Assistant. *Math 53: Ordinary Differential Equations with Linear Algebra.*

Fall 2010. Teaching Assistant. *Math 51: Linear Algebra and Multivariable Calculus.*

Winter 2010. Teaching Assistant. *Math 51: Linear Algebra and Multivariable Calculus.*

Fall 2011. Course Assistant. *Math 161: Set theory.*

Summer 2011. Course Assistant. *Math 19: Calculus.*

Winter 2011. Course Assistant. *Math 173: Theory of Partial Differential Equations.*

Spring 2010. Course Assistant. *MATH 217A: Differential Geometry.*

Spring 2009. Course Assistant. *MATH 132: Partial Differential Equations II.*

Fall 2008. Course Assistant. *Math 220: Partial Differential Equations of Applied Mathematics.*