My expertise is in variational analysis, optimization, statistics and data visualization.
Variational analysis and optimization - I am interested in the variational 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.
(with J. Burke) Variational properties of spectral max functions - In preparation
(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.
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.
(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.
Interests include variational analysis, polynomial optimization, and data visualization.
Courses I have taught or am currently teaching at UW Tacoma:
TMATH 110: Introduction to Statistics and its Applications
TMATH 120: Precalculus
TMATH 124: Calculus I
TMATH 125: Calculus II
TMATH 126: Calculus III
TMATH 307: Differential Equations
TMATH 310: Statistics with applications for environmental science
TCSS 321: Discrete Structures I
Mathematical Association of America
2013: Cluster Hire in Hydrology Search Committee Member
2013: Cluster Hire in Hydrology Interview Committee Member
2013: 3-year Mathematics Lecturer Interview Committee Member
2013: 3-year Mathematics Lecturer Search Committee Member
Campus-Wide Quantitative Literacy Task Force (2012-present)
We have developed a comprehensive plan for addressing the quantitative literacy including student support, faculty support, and identifying sources of funding. Specific personal contributions include a thorough survey of the quantitative gaps reported by instructors of courses that have Introductory Statistics with Applications (TMATH 110), Precalculus (TMATH 120), and Calculus I (TMATH 124) as prerequisites; developing a diagnostic quiz for Calculus I, proposing and coordinating the quantitative boot-camps with the TLC and instructors in chemistry, physics, business, and computer science.