Mathematics
Relativistic cosmology, differential geometry. Exact Solutions of Einstein's Field Equations and Embedding Problems of Compact 3-Manifolds.
General relativity theory, particularly exact solutions to Einstein's equations of gravitation. Gravitational radiation and the geometry of the null paths along which protons and gravitrons travel. He is currently working on twisting gravitational waves and on some applications of Clifford Algebra.
Applied Mathematics
Medical image analysis, computational anatomy, computer vision, pattern theory, shape analysis and shape models.
Scattering theory, inverse scattering theory with geophysical and optical applications, fission.
Research Interests
Control, optimization, computation, applications in material and molecular sciences.
Functional differential equations, integral equations, approximation theory, optimal control theory, numerical analysis, applied functional analysis.
Biomathematics
Knot invariants and 3-manifold invariants, applications of topology to biology, recursion theory.
Statistics
Robust multivariate statistical methods, signal processing, statistical computing, applied probability, remote sensing.
Sequential analysis, change-point problems, Bayesian inference, applications in semiconductor manufacturing, energy pricing, psychology.
Biostatistical inference, Statistical methodology, Method comparison studies.
Information theory, optimization, probability, statistical inference, nonparametirc curve estimation, time series analysis.
Robert Serfling
Probability theory, statistical inference, robust and nonparametric methods, asymptotic theory, stochastic processes.
Robust linear models, statistical classification, multivariate analysis, applications of statistics to the physical and medical sciences.
- Updated: January 23, 2007
