MONDAY, APRIL 10, 2006

DIFFERENTIAL EQUATIONS/APPLIED AND COMPUTATIONAL MATH SEMINAR
TIME: 3:35 p.m. – 4:30 p.m.
ROOM: Ayres Hall 309A
SPEAKERS: Tim Clayton – 3:35 p.m. – 4:00 p.m.
Kevin Gipson – 4:05 p.m. – 4:30 p.m.
TITLES: A control theoretic approach to containing the spread of rabies (summary of paper by Evans and
Pritchard)
Modeling the HIV Epidemic in Uganda involving Information and Education Campaigns

TUESDAY, APRIL 11, 2006

JICS/MATH POSITION CANDIDATE COLLOQUIUM

TIME: 1:15 p.m. – 2:10 p.m.
ROOM: Ayres Hall 318
SPEAKER: Dr. Ping Wang, Center for Applied Scientific Computing
Lawrence Livermore National Laboratory
TITLE: An Arbitrary Lagrangian Eulerian Formulation with Adaptive Mesh Refinement for Hydrodynamics and Material Modeling

THURSDAY, APRIL 13, 2006

UNDERGRADUATE HONORS SEMINAR

TIME: 9:30 a.m. – 11:10 a.m.
ROOM: Ayres Hall 309B
SPEAKER: Kate Frederick, Department of Mathematics, UTK
TITLE: Matricially Quasinormal Tuples
ABSTRACT: The purpose of this thesis is to examine one possible generalization of the concept of quasinormal operators to the multivariable setting. Quasinormal operators are a class of operators that exists between normal operators, those that commute with their adjoint, and subnormal operators, normal operators restricted to an invariant subspace. Specifically, a quasinormal operator, T, commutes with its adjoint times itself, or T(T*T)=(T*T)T. Each of these operators is well understood, but the quasinormal operator’s curious position between normal and subnormal operators makes it an interesting example of operators which are close to being normal.

A natural direction for this research is to examine the properties of classes of operators in the multivariable case. This has certainly been the situation for normal and subnormal operators. However, a multivariable generalization for quasinormal operators has received less attention. This paper covers that oversight by generating some interesting theorems regarding these operators. The research in this paper follows the path of John B. Conway and Pei Yuan Wu in their research of single variable quasinormal operators and produces similar representative theorems.