My expertise is in variational analysis, optimization, statistics and data visualization.

*Variational analysis and optimization*

I am interested in the properties of polynomial root functions and
spectral functions, which arise in eigenvalue optimization problems.
Examples of spectral functions are the spectral abscissa (largest real part of
an eigenvalue) and spectral radius (largest eigenvalue in modulus),
which are tied to the asymptotic behavior of dynamical systems.
This paper (http://www.sciencedirect.com/science/article/pii/S0362546X11000319)
concerns the variational analysis of polynomial root functions
and am co-authoring a second on spectral max functions.
I am also co-authoring a paper on root activity of the polynomial radius & abscissa at local optima,
subject to affine constraints.

*Statistics, data visualization applied to public health surveillance*

My work in statistics and data visualization revolves around my involvement in
a public health project for influenza surveillance. This work consists of three
main components: data visualization, identifying patterns of error in data and
developing an automated routine for error detection, and generating prediction
intervals for the proxy flu rate. I wrote the **accrued** package in R for visualizing data quality of partially accruing data, which can be found here: http://www.r-project.org/.