### Education

**Doctor of Philosophy, Mathematics, 2011**

Department of Mathematics, University of Wyoming, Laramie, WY

Dissertation: Stochastic Analysis and Nonlinear Filtering of Point Vortex Dynamics Subjected to Jump Noise.

**Bachelor of Science, Mathematics, 2006**

College of Mathematical Science, Shandong Normal University, Jinan, China

### Research Interests

Quantitative Ecology and Stochastic Processes

### Publications

Xu, M., Schuster, W. S. F. and Cohen, J. E. (2013) Biological groupings and Taylor's law for tree species in a deciduous forest: Is Taylor's law a biological law or a statistical law? Submitted.

Cohen, J. E., Xu, M. and Brunborg, H. (2013) Taylor's law applies to spatial variation in a human population. Genus. 69(1), 25-60.

Cohen, J. E., Xu, M. and Schuster, W. S. F. (2013) Stochastic multiplicative population growth predicts and interprets Taylor's power law of fluctuation scaling. Proceedings of the Royal Society B: Biological Sciences. 280(1757), 20122955.

Cohen, J. E., Xu, M. and Schuster, W. S. F. (2012) Allometric scaling of population variance with mean body size is predicted from Taylor's law and density-mass allometry.

Proceedings of the National Academy of Sciences, U.S.A. 109(39), 15829-15834.

Sritharan, S. S. and Xu, M. (2012) Malliavin calculus and stochastic Lagrangian equation for two dimensional Navier-Stokes flows. To appear in the Proceedings of the Seventh Seminar on Stochastic Analysis, Random Fields and Applications, Ascona 2011.

Sritharan, S. S. and Xu, M. (2011) A stochastic Lagrangian particle model and nonlinear filltering for three dimensional Euler flow with jumps. Communications on Stochastic Analysis 5(3), 565-583.

Sritharan, S. S. and Xu, M. (2010) Convergence of particle _ltering method for nonlinear estimation of vortex dynamics. Communications on Stochastic Analysis 4(3), 443-465.

Fernando, B. P. W., Sritharan, S. S. and Xu, M. (2010) A simple proof of global solvability of 2-d Navier-Stokes equations in unbounded domains. Differential and Integral Equations 23(3-4), 223-235.

### Invited Talks

Black Rock Forest Research Symposium. Black Rock Forest. Cornwall, NY. June 17, 2013.

AMS Fall Southeastern Section Meeting. Tulane University, New Orleans, LA. October 14, 2012.

AMS Spring Southeastern Section Meeting. University of South Florida, Tampa, FL. March 11, 2012.

SIAM Conference on Control and Its Applications. Baltimore, MD. July 27, 2011.

Joint Mathematics Meetings: AMS Special Session on Stochastic Analysis and Random Phenomena. New Orleans, LA. January 07, 2011.

### Activities

**Peer Reviewer**

International Journal of Analysis, Stochastic Models, Communications on Stochastic Analysis, AMS Mathematical Reviews.

**Mini-Symposium Organizer**

Recent Advances in Computational and Stochastic Methods in Fluid Dynamics with Control and Estimations, 36th Annual SIAMSoutheastern Atlantic Section Conference. University of Alabama in Huntsville, Huntsville, AL. March 24-25, 2012.

**Undergraduate Research Mentor**

Students: Nick Anderson (Math) and Stephen Bagley (Mechanical Engineering). Project: Stability Analysis of Isentropic Gas Dynamics. University of Wyoming. Summer 2010.

**Team Judge**

UWYO Calculus Bowl Competition. National Mathematics Awareness Month. University of Wyoming. Spring 2007.

**Teaching Workshop Participant**

Ellbogen Center for Teaching and Learning, University of Wyoming

*Operation of Classroom Technology, Spring 2010*

*Introduction to Online Course Platforms, Spring 2010*

*Effective Classroom Presentations, Fall 2009*

*Using Supplemental Online Courses to Enhance Teaching, Summer 2007*

### Honors and Awards

Outstanding Graduate Student in Research, Department of Mathematics, University of Wyoming, 2008

Best Oral Presentation in the 5th Graduate Student Symposium, Graduate School, University of Wyoming, 2007

Outstanding Graduation Thesis, College of Mathematical Science, Shandong Normal University, 2006

### Professional Membership

American Mathematical Society

Institute of Mathematical Statistics

Society for Industrial and Applied Mathematics