Graduate Research
- I am currently working with Dr. Juan Restrepo, and my primary research interests are in stochastic methods for flow in random porous media. I am more generally interested in climate modeling, uncertainty quantification, geophysical fluid dynamics and data assimilation.
- Here is a presentation on an Introduction to Geophysical Fluid Dynamics.
- Under the guidance of Dr. Jon Pelletier, we completed a one semester project on Glacier Erosion and the Formation of Valley Chains of Lakes.
- The mechanics of Euler's disk | Presentation This was a one semester project under the guidance of Dr. Shankar Venkataramani.
- The effect of Weber Number and spread factor of a water droplet impinging on a super-hydrophobic substrate | Presentation This was a one semester collaborative effort with Kevin LaTourette and John Pate.
- The Dirichlet-to-Neumann map on 2-dimensional manifolds with boundary This was my Master's thesis at the University of Pennsylvania under the advice of Dr. Charles Epstein.
Undergraduate Research
While at New York University, I worked with Dr. Lai-Sang Young on a number of research topics in chaotic dynamical systems and fractal geometry. Topics included:
- Reconstructing a proof of Sarkovskii's Theorem
- Numerical analysis of Henon maps/attractors
- Box dimension of graphs of Weierstrass functions
- Basins of attraction under Newton's method in the complex plane
- Relationships between the Mandlebrot set and Julia sets
