| Eisso Atzema. Dr.
Atzema's research currently focuses on the history of mathematics
teaching in the United States. The work entails detailed study of the
various textbook traditions in the teaching of mathematics on the
secondary and college level. This includes bibliographical research on
the publishing history of leading textbooks from the late 19th through
the mid-20th century, sociological research relating to the more
influential textbook authors and their affiliations and mostly archival
research in connection with the multitude of standards and
recommendations involving the teaching of mathematics over the last 130
years. Dr. Atzema's interests also include classical geometry and its
history (particularly 19th century geometry) and the use of history of
mathematics in the classroom.
David Bradley. Dr. Bradley's research is primarily concerned with the study of special functions, such as multiple polylogarithms and functions satisfying difference-differential equations. Symbolic computation plays a vital role in this work, especially in the initial stages of investigation. The mathematical techniques employed encompass a wide variety of areas: most typically hard analysis, but also touching on other areas such as number theory, combinatorics, algebra, and statistics. William O. Bray. Dr Bray's research is focused in geometrical harmonic analysis. The work entails understanding the geometrical aspects of Fourier inversion, Paley-Wiener theorems, heat kernel formulas, and wave equation solution formulas in the setting of symmetric spaces. The techniques employed involve a blend of algebraic machinery of Lie groups, the geometry of horocycles, and connections between Lie group structure and special functions. Other interest include application of Lie groups in mathematical physics and the theory of special functions. Henrik Bresinsky. Buchsbaum rings and Semigroup rings. Robert Franzosa. Dr. Franzosa's research is in applied topology. Past work in dynamical systems includes the developement of the Connection Matrix within the Conley Index Theory, a generalization of the Fuller Index for Period Orbits, and classification results for flows on two- manifolds. Recent work includes the development of topological models for spatial relations in geographic information systems. An outgrowth of the latter work is a generalization of the Schoenflies theorem for pairs of simple closed curves on the sphere. Henry Pogorzelski. Logic and Mathematical Foundations, Mathematical Computatbility, Recursive Functions. William Snyder. Number Theory. |
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