Graduate Faculty Research Interests and Recent Publications

S. Barger, Hereditary sobriety and cardinality of T₁ topologies on countable sets, Quaestiones Mathematicae
20(1997) 117–126.

J. Buoni, P. Farrell, and A. Ruttan, Algorithms for LU decomposition on a shared memory multiprocessor, Journal of Parallel Computing19(1993) 925–937.

Richard L. Burden, Ph.D., Professor
Numerical analysis and scientific computing

R. Burden, J. Faires, Numerical Analysis, seventh edition, 2001, Brooks/Cole Publishing Company.
J. D. Faires, R. Burden, Numerical Methods, second edition, 1998, Brooks/Cole Publishing Company.

A. Burris, J.Faloba,(former graduate student), On the maximun number if unit edges in K_m,nCongressus Numeratium (to appear)
A.Burris, R. Mattingly, Tips for New Teaching Assistants,The Journal of Graduate Teaching Assistant Development 6:1 (1998) 25-32.

G. Chang, H. Mansouri, and D. Huffman, Nonparametric tests for ordered alternatives in two-way layouts, COMPSAT Proceedings in Computional Statistics, 1996, International Association for Statistical Computing.
H. Mansouri, G. Chang, A comparative study of some rank tests for testing interaction, Journal of Computational Statistics and Data Analysis 19(1995).

J. Fabrykowski, On maximium set of integers whose all foreward differences are squares, in preparation
J. Fabrykowski, Arithmetic progressions, prime numbers, and squarefree integers, submitted

R. Burden, J. D. Faires, Numerical Analysis, seventh edition, 2001, Brooks/Cole Publishing Company.
J. D. Faires, R. Burden, Numerical Methods, second edition, 1998, Brooks/Cole Publishing Company.

N. Flowers, A criterion for a group to be nilpotent, Journal of Group Theory (to appear).

S. Kent, S. Chakravarty, E. Newman, Some reductions of the self-dual Yang-Mills equations to intergradable systems in n/2+1 dimensions, Journal of Mathematical Physics 36(2)(1995).
S. Kent, S. Chakravarty, E. Newman, Diffeomorphism algebras and the Nahm and Ward equations, Journal of Mathematical Physics 33(1)(1992).

Z. Piotrowski, Separate versus joint continuity- an update, Proc XIXth Spring Conf. Union Bulg. Math. (Lovech, Sofia) (2000) 93-106.
Z. Piotrowski, D Gauld, S. Greenwood, On Volterra spaces III: topological operations, Topology Proc 23 (1998) 167-182.

R. A. Komara, W. G. Sturrus, D. H. Pollack, and W. R. Cochran, Dalgarno-Lewis method for second-order energies of Rydberg states of neon, Physical Review A of the American Physical Society 59(1999) 251–258.
J. Andrews, B. Brothers, M. DiPillo, C. Jennings, J. Krontiris-Litowitz, D. Pollack, The tri-county partnership for excellence in teacher preparation, U. S. Department of Education #P336B990035, 10/01/1999–9/30/2004, $2,528,620.

N. P. Ritchey, F. Castro, L. Caccamo, K. Carter, B. Erickson, E. Kessler, Analysis of three decision-making methods: a breast cancer patient as a model, Medical Decision Making19:1:Jan-Mar (1999).
E. Kessler, F. Castro, N. P. Ritchey, L. Caccamo, K. Carter, B. Erickson, Urea reduction ratio and urea kinetic modeling: a mathematical analysis of changing dialysis parameters, American Journal of Nephrology 18(1998) 471–477.

P. D. Johnson and K. J. Roblee, On an extremal subfamily of an extremal family of nearly strongly regular graphs, AustraliAsian Journal of Combinatorics, submitted 2000.
K. J. Roblee, Triangle-free regular graphs as an extremal family, Ars Combinatoria, to appear.

S.E. Rodabaugh,  Axiomatic foundations for fixed-basis fuzzy (quasi-)uniform spaces using uniform covering operators, to appear in Topological and Algebraic Structures in Fuzzy Sets, S.E.Rodabaugh, E.P. Klement, eds., Theory and Decision Library: Series B: Mathematical and Statistical Methods, Kluwer Acedemic Publishers (Dordrecht)
S. E. Rodabaugh, Categorical foundations of variable-basis fuzzy topology, The Handbooks of Fuzzy Sets Series 3(1999)273–388, Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, U. Höhle, S. E. Rodabaugh, eds., Kluwer Academic Publishers (Dordrecht).

T. Smotzer, H. Bercovicci, and W. Li, A continuous version of the Littewood-Richardson Rule and its application to invariant subspaces, Advances in Mathematics 134:2(1998) 278–293.
T. Smotzer, H. Bercovicci, and W. Li, Classical linear algebra inequalities for the Jordan models of  operators, Linear Algebra and its Applications 251(1997) 341–350.

Angela S. Spalsbury, Ph.D. Assistant Professor
Functional analysis; operator theory

A. S. Spalsbury, Operators not positive with respect to any basis, Quaestiones Mathematicae 23 (2000) 489–494.
A. S. Spalsbury, Vectors of minimal norm, Proceedings of the American Mathematical Society 126(1998) 2737–2745.

W.Just, J.K. Tartir, A k-normal, not densely normal Tychonoff space, Proc Amer.Math.Soc., to appear.
M.V.Matveev, O.I.Pavlov, J.K.Tartir, On relatively normal spaces, relatively regular spaces, and on relative property (a),Topology Appl.,  to appear

E. Wingler, R. Minma, Locally bounded functions, Real Analysis Exchange 23(1997–98) 251–258.
E. Wingler, Z. Piotrowski, On Sierpinski's theorem on the determination of separately continuous functions, Questions and Answers in General Topology 15(1997) 15–19.