Variational analysis and optimization
I have studied the variational behavior of 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.

Statistics and data visualization
My work in statistics and data visualization began with 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 flu rate. Regarding error detection, I am interested in extending techniques in Bayesian change point analysis to accommodate the wide array of patterns exhibited by the project data.

Papers

• with J. Burke
  Variational properties of spectral max functions.
  In preparation
• with I. Painter, B. Lober
  Visualizing data quality for partially accrued data
  In preparation
• with I. Painter, D. Olson, D. Revere, B. Lober
  Generation of Prediction Intervals to Assess Data Quality in the Distribute System Using Quantile Regression
  In 2011 JSM Proceedings, Statistics in Defense and National Security Section.
  Alexandria, VA: American Statistical Association, pp 5172-5179.
• with J. Burke
  On the subdifferential regularity of max root functions for polynomials
  Journal of Nonlinear Analysis: Theory, Methods & Applications, 75(3):1168-1187, 2012.
• with A. Godbole, B. Sinclair
  Competition between discrete random variables, with applications to occupancy problems
  Journal of Statistical Planning and Inference, 40(8):2204-2212, 2010.
• with I. Painter, D. Revere, B. Lober
  Data quality analysis and monitoring of the Distribute system
  Internal technical report (unpublished), 2010.
• Y. Khanal, J. Eaton, J. Pakish, P. Yen, R. Martins, L. Carr, K. Eaton
  Survival disparities in non-small cell lung cancer patients receiving radiation treatment: An investigation of race and gender
  Journal of Cancer Research and Experimental Oncology, 2(3):29-34, 2010.