Primary: Image Registration, Calculus of Variations, Optimization Theory, PDE
	Secondary: Numerical Analysis, Probability Theory

		My main research area is applied mathematics and scientific computing. I am in particular interested in variational problems and partial differential equations. The study of applications of different variational registration models to different types of images is an important part of my research work. I also explore various numerical models to better explain the mathematical models that I work on.
		See Research Statement

	1.	Particle Simulation of Coulomb Collision
	2.	Variational methods for medicalimage registration ( Nonlinear Elasticity, Biharmonic, Sobolev Gradient, AMLE )
	3.	Modeling of Human Perception of Motion ( under the supervision of Professor Alan Yuille )