Our faculty members have diverse research interests including topics in statistics, applied mathematics and pure mathematics. Most of the research topics are interdisciplinary in nature.
Dr. Kamel Rekab has wide-ranging experience as an investigator and consultant in industrial statistics and medical statistics, and the statistical analysis of such topics as Infrasound Classifier Development, Sleep Apnea Avoidance, Sediment Flow, Neurological Responses of Stroke Victims, Mammography, Automated Testing, Cough Reflex, and Structural Bonding Processes, among others.
Dr. Yong Zeng’s research is in the interdisciplinary areas of Probability, Statistics, Financial Econometrics, and Mathematical Finance. He is especially interested in modeling the partially observed dynamic of transactions data (or high-frequency data, trade-by-trade data) using marked point processes, and in Bayesian inference via filtering for the dynamic. Dr. Zeng also models the term structure of interest rates, stock prices, and pricing options. In January 2011, Dr. Yong Zeng received a UM System Research Board grant for $24,700, titled “Statistical Inference for Marked Point Processes and Related Topics”. In September 2012, he has been awarded a National Science Foundation (NSF) grant for his research project entitled: “Statistical Analysis for Partially-Observed Markov Processes with Marked Point Process Observations”.
Dr. An-Lin Cheng is the Director of Research and Statistical Consult Service. Dr. Cheng is affiliated with the UMKC School of Medicine and she is a member of doctoral faculty at the Mathematics and Statistics. Dr. Cheng has worked with researchers from a wide range of disciplines such as dentistry, nursing, biomedical engineering, statistics, biostatistics, environmental sciences, and medicine.
Dr. Sangbeak (Sam) Ye’s research is focused on Sequential mastery detection and Bayesian learning promotion under cognitive diagnosis models. Dr. Ye has used sequential change-detection methods under the cognitive diagnosis models in E-learning assessments. He also constructed statistical models for the didactic value of items that readily leads to a sequential learning enhancement and learning detection procedure. Dr. Ye is currently affiliated with the UMKC School of Nursing. He is also a member of doctoral faculty at the Mathematics and Statistics.
The UMKC Applied Mathematics Group is a research group within the Department of Mathematics and Statistics at University of Missouri-Kansas City. The applied mathematics group has interdisciplinary research interests in the areas of mathematical biology, scientific computations, applied analysis, and numerical linear algebra. See the Applied Mathematics Group Activities.
Dr. Majid Bani-Yaghoub has research interests in partial, delay and ordinary differential equations. His area of expertise include mathematical modeling, nonlinear waves in ecology and numerical simulations nonlocal delay reaction-diffusion models. His current research is focused on modeling and analysis of infectious diseases with multiple transmission pathways.
Dr. Xianping Li is enthusiastic about research in scientific computation and mesh adaptation, especially for anisotropic diffusion problems. His current research focuses on parallel computing and mesh adaptation for three-dimensional anisotropic diffusion problems and their applications. He is also interested in numerical computation in many fields including engineering, biology, finance, and physics.
Dr. Noah Rhee’s research interests include Numerical linear algebra, numerical stability analysis, and approximations of Frobenius-Perron operators via interpolations.
Dr. Eric Hall does research in set theory, especially on models of set theory in which the Axiom of Choice does not hold. Some of his recent publications are on Axiom of Choice issues in general topology.
Dr. Liana Sega does research in commutative algebra and focuses on homological properties of finitely generated modules over commutative Noetherian (local) rings. She recently helped discover an important counterexample to a conjecture of Auslander about certain properties of Gorenstein rings. In August 2011, Dr. Liana Sega has been awarded two separate research grants. The first grant is from the Simons Foundation “Simons Collaboration Grants for Mathematicians” The second grant is for 2011-2014 from the National Science Foundation (NSF) in the amount of $85,843 for her proposal “Homological Behavior of Modules over Commutative Local Rings”.