Harrison D. Potter, Graduate Student

I am a fourth year graduate student. I graduated from Marietta College in Marietta, OH with a B.S. degree with majors in mathematics and physics in May 2008. I earned a M.A. degree in mathematics from Duke University in May 2010. I passed my preliminary examination in October 2011 and am presently working towards graduating with my doctorate in Mathematics.

Contact Info:

Office Location:	274H Physics
Email Address:
Starting Year:	2008
Advisor(s):	Thomas P Witelski

Education:

M.A.	Duke University	2010
B.S.	Marietta College	2008

Specialties:

Applied Math
Mathematical Physics
Analysis

Research Interests: Fluid Dynamics of Thin Liquid Films

I am presently working on a fluid dynamics project; specifically, I look at how asymptotic analysis can yield insight into the behavior of solutions to the PDE and corresponding steady-state ODE that arise in the study of certain thin film problems. I also use C++ to construct numerical solutions to these PDE and ODE using finite difference schemes. Such simulations prove useful both as a check on the validity of any asymptotic results obtained and as a tool in helping to find and determine the nature of various interesting asymptotic limits.

Curriculum Vitae

Recent Publications

1. Harrison Potter, On Conformal Mappings and Vector Fields, OhioLINK Electronic Theses and Dissertations Center (May, 2008) [view.cgi] [Mathematics Capstone Version] [Physics Capstone Version] [abs] [author's comments]
2. Vinh Xuan Dang, Harrison Potter, Scott Glasgow, Stephen Taylor, Pricing the Asian Call Option, Electronic Proceedings of Undergraduate Mathematics Day, vol. 3 no. 3 (February, 2008), pp. 26, ISSN 154-2286 [available here] [Paper] [abs]
3. Jennifer Anderson, Alexis Brownell, Harrison Potter, David Yetter, Quandle Basics (August, 2006) (2006 Kansas State University Brainstorming and Barnstorming REU Final Paper.) [results] [Summary Paper] [abs]

Selected Meetings

1. Conformal Mappings and Vector Fields, April 11, 2008, 2008 Spring Meeting of the Ohio Section of the Mathematical Association of America [pdf]     [MAA Presentation]
2. Pricing the Asian Call Option, January 8, 2008, 2008 Joint Mathematics Meetings in San Diego, CA [html]     [Joint Meetings Presentation]
3. Pricing the Asian Call Option, November 03, 2007, The University of Dayton Undergraduate Mathematics Day [html]     [Dayton Presentation]

Selected Other

1. Mathematical Problems in Industry Workshop, June 13 to 17, 2011, New Jersey Institute of Technology in Newark, NJ.    
2. Graduate Student Mathematical Modeling Camp, June 11 to 12, 2011, New Jersey Institute of Technology in Newark, NJ.    
3. Capstone Presentation: Conformal Mappings and Vector Fields, April 24, 2008, Marietta College [pdf]     [Capstone Presentation]
4. Poster Presentation: Conformal Mapping as a Tool for Solving Laplacian Problems in Physics, March 29, 2008, 2008 Spring Meeting of the Ohio Region of the American Physical Society [86033]