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
Dynamical 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
Numerical Analysis and Scientific Computing.
Nonlinear functional analysis, Topological degree theory, Nonlinear dynamical systems and bifurcation theory, Mathematical theory of systems with hysteresis, Applied mathematical modeling.
Control, optimization, computation, applications in material and molecular sciences.
Functional differential equations, integral equations, approximation theory, optimal control theory, numerical analysis, applied functional analysis.
Modeling, analysis, simulation, experimental validation, and design optimization of high performance optical systems and devices; Image analysis and applications of defferential geometry.
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
Interdisciplinary within dynamical systems and algebraic and differential geometry with applications to classical and statistical mechanics.
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, sequential methods in clinical trials, epidemiology, and finance.
Biostatistics, Statistical Genetics, Genetic Epidemiology, Cancer Genetics, Risk Prediction Models, Bayesian Clinical Trials.
U-Statistics, Nonparametric Methods, Applied Sequential Methods, Spatio-Temporal Modeling.
Biostatistical inference, Statistical methodology, Method comparison studies.
Robert Serfling
Statistical science, probability theory, stochastic processes, and related mathematics. Special focus on multivariate analysis, nonparametric methods, time series, outlier detection, heavy tailed distributions, and asymptotic methods. Special interest in applications to actuarial science, biostatistics, and bioinformatics.
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: December 18, 2012
