# Team

## Former Members

### PhD Students

##### Peng Wei

Numerical approximation of the Electroconvection

Numerical approximation of surface quas-geostrophic flow

##### Wenyu Lei

Numerical approximation of the solution to the integral laplacian problem on a sphere with unitary right hand side using the representation $$\int_{\mathbb R^d} \int_{\mathbb R^d} \frac{(u(x)-u(y))(v(x)-v(y))}{|x-y|^{d+2s}} = \frac{2\sin(\pi s)}{\pi} \int_0^\infty t^{2(1-s)}(-\Delta(I-t^2\Delta)^{-1} u,v)_{L_2(\Omega)} \frac{dt}{t}$$

##### Spencer Patty

Biomembrane with an area and volume of an 5x5x1 ellipsoid (left), 7x7x1 ellipsoid (center) and 8x1x1 ellipsoid (right)

##### Sanghyun Lee

Numerical Simulation of the Kaye effect

## Open Position

Undergraduate students enrolled in our program are welcome to contact me to participate on current reasearch projects.

Graduate students already enrolled in our graduate program and interested in the theoretical and/or computational aspects of

• High dimensional approximations in the context of parametric PDEs

• or

• Numerical Simulation of bilayer actuators

should contact me directly.

To be well prepared for research you should consider the following recommendation on the classes to take

• Qualifying Exam

Applied Math / Numerical Analysis and Real Analysis