Research Interests
Besides being interested in mathematics as a whole, I would have to say that I am most interestedin differential equations and applied mathematics. Specifically, I am interested in stability theory
for non-linear PDE's, spectral theory, and scattering problems related certain non-linear evolutionary
equations. My thesis advisor is Jared Bronski.
- Research Specifics and Publications
- Curriculum Vitae (PDF)
- UIUC Graduate Student Seminar in Analysis!!!!! Check us out!
Upcoming Confrences
19th Annual International Workshop on Operator Theory and its Applications (IWOTA 2008), College of William and Mary in Williamsburg, Virginia.Teaching
- Current: I have an RA this semester and hence will not be doing any teaching. I am always available for private tutoring though!
- Previous Teaching:
Math Related Links
- Dispersive Wiki Main Page
- Mathworld
- arXiv E-Link Archive
- MathSciNet
- UIUC Math Seminar Calendar
- MIT has some online math courses which are fun to look through now and again.
- Some Fun Problems!!!!
Math Notes
- Notes on the inverse scattering transform. Used for Dynamics final presentation (very basic...).
- Notes on the spectral theorem and Stone's theorem. Used for Hilbert spaces final presentation.
- Notes on the Hodge Decomposition Theorem. Used for Riemann surfaces and algebraic curves final presentation. (sketchy and incomplete.... use with caution!).
Miscellaneous Links
Hobbies
I enjoy martial arts, wakeboarding, skiing, running, rock climbing, tennis, racketball, eating with friends, golfing, movies, playing guitar and piano, showing the following picture of my brother (man I hope those are clean...), and spending as much time as I can with my wife Tamara.
My Bro... aka...Captain
Underpants!!!Tamara and I building a house for Habitat
for Humanity in Ft. Worth, TX.
