Faculty research interests
- Algebra
- Hemmer, David:
- Group theory, representation theory of finite groups (especially the symmetric and general linear groups).
- Hewitt, Paul R.:
- Group theory, especially the intrinsic and extrinsic structures, typically from geometry, topology and logic, that are reflected in the algebraic properties of the group.
- Odenthal, Charles J.:
- Representations of Noetherian and Artinian rings.
- Pettet, Martin R.:
- Theory of groups, with particular focus on the relationships between the structure and properties of a group and those of its automorphisms.
- Steinberg, Stuart:
- Ordered structures and ring theory.
- See also:
- Harvey Wolff.
- Analysis
- Cuckovic, Zeljko:
- Algebraic properties of Toeplitz operators and harmonic function theory, as specialized subfields of functional analysis and complex analysis.
- Nagisetty, Rao V.:
- Theory of approximation, functional analysis, complex function theory and Toeplitz operators, Liouville's theory on function fields.
- See also:
- En-Bing Lin, Henry Wente.
- Applied Mathematics
- Ochs, Robert:
- The applied mathematics of wave propagation.
- Vayo, West:
- Applications of differential equations to biology and medicine.
- See also:
- En-Bing Lin, Biao Ou.
- Differential Equations
- El Bialy, Mohamed S.:
- Areas of dynamical systems, Hamiltonian systems, celestial mechanics and differential equations involving methods from nonlinear functional analysis, real analysis and differential geometry.
- Ou, Biao:
- Partial differential equations in applied area and differential geometry.
- See also:
- Robert Ochs and West Vayo.
- Differential Geometry
- Ionel, Marianty:
- Calibrated Geometries, in particular Special Lagrangian Geometry; Geometric PDE's.
- Thompson, Gerard:
- Application of differential geometry, Lagrangian and Hamiltonian mechanics and symplectic geometry.
- Tsui, Mao-Pei:
- Geometric analysis; general relativity; image analysis.
- Wente, Henry:
- Calculus of variations and elliptic partial differential equations as they apply to minimal surface theory, immersions of constant mean curvature and capillary theory.
- See also:
- Mohamed El Bialy, En-Bing Lin, Geoffrey Martin and Biao Ou.
- Mathematical Physics
- Lin, En-Bing:
- Wavelet theory and applications, geometric and hadronic quantization in mathematical physics, domain characterizations in complex manifolds by means of algebraic and geometric structures using primarily analytic methods.
- Martin, Geoffrey:
- Symplectic geometry over determined systems of partial differential equations, geometric algebra in eight dimensions, triality, foundations of electromagnetism and relativity, geometric mathematical physics, Lie groups and indefinite symmetric domains, general geometric structure and partial differential relations.
- White, Denis A.:
- Schroedinger operators and their application to quantum mechanical scattering theory using functional analysis and partial differential equations.
- See also:
- Mohamed El Bialy, Robert Ochs and West Vayo.
- Statistics
- Shao, Qin:
- Statistics
- White, Donald:
- Applications of statistics to various scientific areas, especially medicine and pharmacology. Specific statistical areas include nonlinear models and population modeling in pharmacokinetics and pharmacodynamics.
- Zhang, Biao:
- Density estimation and empirical likelihood.
- Topology
- Schwarz, Friedhelm:
- Categorical topology and more especially, cartesian closedness, exponentiability and topological universes. Teaching with technology and more especially Calculus with MAPLE, World Wide Web, and Distance Learning.
- Wolff, Harvey:
- Category theory with applications to algebra and topology.