Welcome to Guoyi Xu(徐國義)'s Homepage

独立之精神,自由之思想为吾等学人毕生之追求

The independence of the spirit and the freedom of the thought are the pursuits of my life.

(0) Who I am:

I am a visiting assistant professor in Department of Mathematics at University of California, Irvine since August 2010. I got my Ph.D degree in May 2010 from University of Minnesota under the supervision of Robert Gulliver. My current mentor in UCI is Peter Li.
I also had studied functional analysis from Shunhua Sun and Guangfu Cao at Sichuan University, noncommutative geometry from Guoliang Yu and Gennadi Kasparov at Vanderbilt University, differential geometry from Jiaping Wang at University of Minnesota. I will move to Mathematical Sciences Center in Tsinghua University in 2013 fall. My hometown is Rongxian in China.

(1) Where I stay:

Office: 510W Rowland Hall; Office Phone: (949)824-3543
Email: guoyixu@math.uci.edu; Office Hours: F 9:00am- 10:00am

(2) What I am teaching:

MATH 2E MULTIVAR CALCULUS ,
MATH 141 INTRO TOPOLOGY

(3) What I am doing:

I am a GEOMETRIC ANALYST. My interest is geometric flows and its application in geometry and topology, specially mean curvature flow, harmonic mean curvature flow and Ricci flow.

(4) What I did:

7. An equation linking $\mathscr{W}$-entropy with reduced volume ,
submitted, 17pp, arXiv:1211.6354 [math.DG]
6. Lower bound of Ricci flow's existence time ,
submitted, 11pp, arXiv:1210.5950 [math.DG]
5. Local pinching estimates in 3-dim Ricci flow ,
(with Bing-Long Chen and Zhuhong Zhang), submitted, 10pp, arXiv:1206.1814 [math.DG]
4. Four dimensional shrinking gradient solitons with small curvatures ,
preprint, 8pp.
3. The short time asymptotics of Nash entropy ,
to appear on Pacific Journal of Math, 22pp, arXiv: 1209.6591 [math.DG]
2. Short-time existence of the Ricci flow on noncompact Riemannian manifolds ,
to appear on Transactions of AMS, 52pp, arXiv: 0907.5604 [math.DG]
1. Examples of hypersurfaces flowing by curvature in a Riemannian manifold ,
(with Robert Gulliver), Comm. Anal. Geom. 17 (2009), no. 4, 701–719

Links

Arxiv, MathSciNet

Last Modified Dec 4th, 2012
The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of California, Irvine.