Actuarial Sciences
Information theory, optimization, probability, statistical inference, nonparametric curve estimation, time series analysis.
Actuarial science, applied complex variable analysis, probability.
Applied Mathematics
Nonlinear analysis (equivariant degree), dynamical systems with symmetries (bifurcation theory), mathematical theory of hysteresis, non-associative algebras.
Scattering theory, inverse scattering theory with geophysical and optical applications, fission.
Research Interests
Dynamic systems; state-dependent delay differential equations and their applications in engineering and biology; equivariant degree theory and applications; nonlinear analysis; operations research.
Topological methods in nonlinear analysis, symmetric differential equations and bifurcation problems.
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
Medical image analysis, computational anatomy, computer vision, pattern theory, shape analysis and shape models.
Knot invariants and 3-manifold invariants, applications of topology to biology, recursion theory.
Mathematics
Department Head
Analytical, numerical and experimental methods of fluid (plasma) mechanics.
Quantum topology, quantum computing, knot theory, category theory, quantum logic
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.
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.
Robert Serfling
Probability theory, statistical inference, robust and nonparametric methods, asymptotic theory, stochastic processes.
Statistical inference, nonparametric methods, confidence bands problems, time-series analysis, probability theory.
Robust linear models, statistical classification, multivariate analysis, applications of statistics to the physical and medical sciences.
- Updated: November 7, 2011
