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.