Faculty Research

Ellina Grigorieva, Ph.D.

Research Specialty: Optimal Control Theory and Differential Games

Game theory is a theory of conflict and cooperation between rational decision makers. It relies heavily on mathematical models and has proven useful to address problems of conflict and cooperation in economics and management science, as well as other areas of our life.

Optimal control theory is a branch of mathematics developed to control a dynamic system. This theory deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. To learn more about her research projects, contact Dr. Grigorieva at EGrigorieva@twu.edu.

Other research interests: modeling and control of epidemics, modeling and optimal control of HIV treatment and allergy, optimization of the wastewater bio-treatment, mathematical modeling in ecology.

Jian Zhang, Ph.D.

Research Specialty: Computer Science Education

Computer science education research focuses on finding effective ways to broaden our understanding of how students learn computing concepts. Dr. Zhang’s research emphasizes the effectiveness of different outreach channels for a diverse audience, especially underrepresented student groups. To learn more about her research projects, contact Dr. Zhang at jzhang@twu.edu.

Other research interests include: information security, computational intelligence in interactive arts, and image understanding and analysis.

David Marshall, Ph.D.

Research Specialty: Statistics and Modern Approaches

Dr. Marshall's research focuses on modern approaches to hypothesis testing, including the definition of standard significance tests of null hypotheses as valuable mathematical simulations. It emphasizes the broad application of statistical confidence to both interval estimation and hypothesis testing, a continued critique of contemporary interpretations and misunderstandings of the P-value, and a realistic evaluation of probabilistic approaches to data analysis as compared with a scientific repeated data approach. It considers the importance of effect size estimation, and of identifying bias in effect size estimators, in providing empirical evidence for or against research hypotheses. To learn more about his research projects, contact Dr. Marshall at DMarshall@twu.edu.

Other research interests: measurement theory, the general linear model, applications of matrix algebra, (heretical) perspectives on statistical significance and hypothesis testing, and computer programming languages.

Junalyn Navarra-Madsen, Ph.D.

Research Specialty: Knot Theory

Knot theory is a field of topology that that studies mathematical knots. The department of Mathematics and Computer Science is currently engaged in an ongoing project modeling protein-DNA interactions. The enzymatic mechanisms are modeled using knot theoretical concepts. To learn more about her current research projects, contact Dr. Navarra-Madsen at JNavarramadsen@twu.edu.

Other research interests: mathematical analysis, stochastic modeling, topology, biomathematics, industrial mathematics.

Photo of a student working on a probability and statistics research assignment
Photo by Michael Modecki.