Department of Mathematics
United States of America
Dr. Arnold joined the Baylor faculty as the Ralph and Jean Storm Professor of Mathematics in the fall of 1990. Previously, he served as post-doctoral fellow and professor of mathematics at New Mexico State University. In addition, he has been a visiting professor of mathematics and taught classes and seminars at the University of Washington, University of Connecticut, University of Essen (Germany), and Florida Atlantic University.Dr. Arnold's research is in torsion-free abelian groups of finite rank and related subjects, such as representation of finite partially ordered sets, modules over discrete valuation rings, subrings of algebraic number fields, and finitely generated modules over pullback rings.
torsion-free abelian groups of finite rank and related subjects
Locally free abelian groups of finite rank, Contributions to Module Theory: In Memory of A.L.S. Corner, de Gruyter Press, 2008, 83-97.
Indecomposable (1,3)-groups and a matrix problem, Czech Math. J. 63 (2013), 307-355 (with A. Mader, O. Mutzbauer, E. Solak).
Almost completely decomposable groups and unbounded representation type, J. Alg. 349 (2012), 50 – 62 (with A. Mader, O. Mutzbauer, E. Solak).