Many of the UT Martin mathematics and statistics faculty members are active in research. Some current areas include:
computational prime number theory
Differential Equations and Modeling
Compact Lie groups, Isometric group actions on Riemannian manifolds
simple homotopy theory
ranking & selection, nonparametric statistics, data depth and multivariate analysis
number theory / partition theory (specifically Frobenius partitions)
approximations in p-adic fields
Ordinary Differential Equations, Difference Equations, Integral Equations, Time Scales, Functional Analysis
ranking and selection procedures, Birnbaum-Saunders fatigue life distribution, statistical computing/consulting
combinatorics, graph theory, graph labeling
positive definite functions, reproducing kernel Hilbert spaces, geometry of metric measure and discrete spaces.
Justin R. Sims
time series analysis, semiparametric regression, statistical paleoclimate reconstructions, statistical consulting
combinatorics, graph theory, decompositions of graphs & digraphs, connectivity properties of graphs
Listed below are web pages associated with the academic interests of some of the UT Martin mathematics faculty.