Papers and Talks
- Here you can find a brief description of various (unpublished) papers and talks I have given with fellow graduate students and professors. Links are given for available PDFs. Please email me if you have questions or comments.
Fall 2011
I was an invited speaker to the "Frontier in Nonlinear Waves" workshop at the University of Arizona.
The Smoluchowski-Kramers Approximation II slides (PDF)
I gave a talk at the Mathematical Physics Seminar at the University of Arizona
Homogenization with Stochastic Differential Equations slides (PDF)
I gave a talk at the Brown Bag Graduate Seminar at the University of Arizona.
Modeling Physical Systems with Randomness using Stochastic Differential Equations slidesd (PDF)
Spring 2011
I gave a talk at the Mathematical Physics Seminar at the University of Arizona.
The Smoluchowski-Kramers Approximation I slides (PDF)
Fall 2010
I gave a brown bag talk on October 1, 2010, to discuss my research in numerical stochastic differential equations. The abstract is given below.Student Brown Bag website with my abstract.
Fall 2009
Every Ph. D. candidate in the Applied Mathematics program at the University of Arizona must take part in the Research Tutorial Group (RTG) in their third semester. This is a semester long research project with a faculty member. Their findings must be written in a paper and a presentation must be given near the end of the Fall semester. I worked with Dr. Janek Wehr, a professor in the Mathematics Department at the University of Arizona on one-dimensional quantum networks in quantum communication. The paper and slides of my presentation are given below.
Decay of Singlete Conversion Probability in 1-D Networks (PDF)
Presentation Slides (PDF)
I gave a brown bag talk on October 2, 2009, to introduce the field of quantum computing. The abstract is given below.
Student Brown Bag website with my abstract.
Spring 2009
During the second semester in the applied mathematics graduate program, the student is to write a paper on a topic loosly related to one of the three core courses with the instructor of that course (Analysis, Methods of Applied Mathematics, Numerical Analysis). I, with much help from Shankar Venkataranami (Professor Univeristy of Arizona), wrote a paper about dynamical systems and chaos, and gave a twenty minute presentation on 15, May 2009.
Semester Paper (PDF)
Presentation Slides (PDF)
Fall 2008
During the first semester applied math graduate fluids lab course, Sarah E. Mann (UA applied math), Mathew Pennybacker (UA applied math), and I wrote a paper and gave a thirty minute presentation on 3, December 2008, on the flow of a viscous fluid. The paper and slides are given as PDFs below.Fluids Paper (PDF)
Presentation Slides (PDF)
I also gave a talk at the graduate student brown bag talks on 5, September 2008 describing my undergraduate honors thesis in control theory and linear algebra.
Student Brown Bag website with my abstract.
Presentation Slides (PDF)
Undergraduate Work
As an undergraduate mathematics major at the University of Nebraska-Lincoln I worked with Dr. George Avalos (Professor University of Nebraska-Lincoln) and his graduate student at the time, Michael Gunderson on null controlability with funding from the NSF Mentoring Through Critical Transition Points (MCTP) grant. With the help of both Dr. Avalos and Michael, I wrote an honors thesis and defended it in the Spring of 2008. The paper and presentation slides are given below.Honors Thesis (PDF)
Presentation Slides (PDF)
I gave a talk on my research with Dr. Avalos and Michael Gunderson at the 8th annual regional workshop in the mathematical Sciences at the University of Nebraska-Lincoln on October 28th 2006. The abstract and website is given below.
Regional Workshop Schedule
Regional Workshop with my abstract
