**DEPARTMENT
OF MATH AND
COMPUTER SCIENCE**

**FACULTY ACTIVITIES REPORT **

**JULY
1, 1998-JUNE 30, 1999**

**Publications, Performances, Exhibits****Papers and Presentations****Editorships, Offices, and Consultancies****External Grants Received**

**I.
**__Publications,
Performances, Exhibits__

**Allen, Edward E.**

“*A Conjecture of a Basis for the Diagonal Harmonic
Alternants." *Discrete Mathematics 193 (1998):
33-42.

**Baxley, John V.**

(with
Robinson, S. B.) *“Rotationally Symmetric
Deformations of a Spherical Cap."* Electronic Journal of
Differential
Equations (1998): 11-27.

**Burg, Jennifer J.**

"*Technology Oriented Faculty
Development in a
* Electronically-Enhanced Education: A Case Study of

David
G. Brown (Editor),

39-48.

*(*with Wong, Y-L.,
Pfeifer, D., Boyle,
A., and Yip, C-W.) *"Publishing
in an imej Journal* *for Computer-Enhanced Learning*." Proceedings of EDMEDIA 1999 (1999).

(with
Ainsworth, J., Casto, B., and Lang, S.-D.)
*"Experiments with the " Oregon Trail Knapsack Problem*." Proceedings of the CP'98 Workshop on
Large-Scale Combinatorial Optimisation and Constraints,

**Cañas, Daniel A.**

(with Pilipović, S.) *“Cauchy and
Poisson Kernels for Tubes.”* Integral
Transforms and Special Functions 6
(1998): 9-14.

(with
Wang, J) “*An Optimization
Problem in Virtual Endoscopy.” *Theoretical
Computer Science 207 (1998):
203-216.

**Hemler, Paul F.**

(with
Carr, J., Halford, P., Freimanis, R., Choplin, R.) *"Stereotactic
Localization of Breast* *Lesions: How
It Works And
Methods To Improve Accuracy."*
Radiographics (1998).

**Howard, Frederic T.**

*“Lacunary Recurrences For
Sums Of Powers Of
Integers.” *The Fibonacci Quarterly
36* *(1998): 435-442.

**Howards, Hugh N.**

(with
Hutchings, M. and Morgan, F.) "*The
Isoperimetric Problem on Surfaces."
* The American Mathematical Monthly
106 (1999): 430-439.

** **

**John, David J.**

*“Minimal Edge Cuts to Induce
Balanced Skyned
Graphs." *Congrussas
Numerantium 132 (1998): 5-8.

(with
Francel, M.) "*Counting Balanced
Ternary Designs*." Ars Combinatorium
49 (1999).

(with
Teply, M.) “*Finitistic Homological
Dimensions of Semigroup Rings*.” Proceedings of the Fourth Ring
Theory Workshop
(1997),

**Plemmons, Robert J.**

(with
Chan, T. and Vogel, C.) *"Fast
Algorithms for Phase Diversity Blind Deconvolution"*.
Proceedings of SPIE Conference on Adaptive
Optical System Technologies,

(with
Pitsianis, N., Van Loan, C., and Ellerbroek, B.) "*Jacobi-like
Method for a Control Algorithm in Adaptive Optics Imaging."* Proceedings of SPIE Symposium on Advanced
Signal Processing Algorithms, Architectures, and Implementation. VIII,
F. Luk
(Editor), 4361 (1998): 296-307.

**
**

*(*with Ellerbroek, B,
Pitsianis, N,. Van
Loan, C.)*."Multiple Control
Bandwidth Computations in Adaptive-optics." *Proceedings
of SPIE Symposium on Advanced
Signal Processing Algorithms, Architectures, and Implementation. VIII,
F. Luk,
(Editor), 4361 (1998): 296-307.

(with.
Berman, A.) *“Simultaneous
Diagonalization with Applications in Adaptive-optics
Control Optimization.”* Mathematical Inequalities and Applications 1
(1998): 149-152.

*(*with. *“Approximation
by Structured Lower Rank Matrices.” *Proceedings
of SPIE Symposium on Advanced Signal Processing Algorithms,
Architectures, and
Implentation. VIII, F. Luk (Editor),
4361 (1998): 339-348.

(with
Ellerbroek, B., Pauca, P., Pitsianis, N.
and Sun, X.). *“Performance Modeling of
Adaptive-optics Imaging Systems Using Fast Hankel Transforms." *Proceedings SPIE Symposium on Advanced
Signal Processing Algorithms, Architectures, and Implementation. VIII, F. Luk (Editor) 4361 (1998): 339-348.

**Robinson, Stephen B.**

(with
Baxley, J.) *“Rotationally
Symmetric Deformations of a Spherical Cap.”* Electronic
Journal of Differential Equations
(1998).

(with
Runst, Th .) *“Solvability
Conditions for Semilinear Elliptic Boundary Value Problems
at Resonance with Bounded and Unbounded Nonlinear Terms."*

Advances in Differential Equations 3 (1998): 595-624.

**Thomas, Stan J.**

*“The Impact of Campus-wide
Portable
Computing on Computer Science Education." *ACM-SIGCSE Bulletin 30
(1998).

**Allen, Edward E**.

Presentation: “Garsia-Haiman
Modules and Representations of the Complex
Reflection
Groups.”

**Baxley, John V.**

Paper: “Competition
in the Unstirred
Chemostat.” Conference on Population
Biology and Epidemiology,

Paper: “A
Class of Singular Nonlinear Boundary Value
Problems.” Southeastern-Atlantic
Regional Conference on Differential Equations,

**Burg, Jennifer J.**

Paper: "Experiments
with the "

Presentation: "IMEJ
Journals: A New Kind of Scholarly
Publication." WebNet '98,

Presentation: "Publishing
in the New Wake

Presentation: "Computer-Assisted
Writing
Instruction." Catalyst Conference
of ICCEL."

Presentation: "Computer-Enhanced
Learning." ICCEL Teaching Strategy
Workshop,

**Cañas, Daniel A.**

Paper: "Internet
Security." 2^{do }Congreso
Centroamericano de
Informatica,

Paper: (with
Wyatt, C. and Vining, D.)
"Automatic Segmentation of the

Paper: (with
Vining, D., Ahn, D., and Stelts,
D.) "Colorectal Cancer Screening
with Virtual Colonoscopy." SPIE
International Syposium on Medical Imaging,

**Hammack, Richard**

Presentation: "Using
Computer Graphics to Visualize
Meromorphic Functions on Riemann Surfaces." Mathematical
Association of

Presentation: "Cyclicity
of Products." Fourth

16 April 1999.

**Hayashi, Elmer K.**

Presentation:**
**"Mathematics: It's Worth a
Second Look." Department of Mathematics,
UNC

**Hemler, Paul F.**

Paper: “A
Nonlinear Algorithm for Task-specific
Tomosynthetic Image Reconstruction.”
SPIE Medical Imaging 1999,

Paper:
“Elimination of Tomosynthetic Artifacts Through Integration of
Orthogonal
Volume Sets." SPIE Medical Imaging
1999,

**Howard, Frederic T.**

Presentation: “The
Power of 2 Dividing Coefficients In A
Series." American Mathematical
Society,

**Howards, Hugh N.**

Paper: “Generating
Incompressible Surfaces in
3-Manifolds.” Georgia Topology
Conference,

Paper: “Knotted
Graphs and Spheres in 3-Balls.” American
Mathematical Society,

Presentation: “An
Introduction to 3-Manifolds Through
Triangulations.” Appalachian

Paper: "Generating
Incompressible Surfaces in
3-Manifolds." American Mathematical
Society,

**Jiang, Miaohua**

Paper: "Dynamics
and Bifurcations of a 3D
System Modeling Thermal Instability."
The Third

Paper: "Smooth
Dependence of Thermodynamic
Limits of SRB Measures." The Fifth

**John, David J.**

Paper: "Evolving
Linear Gammars." International Conference
on Combinatorics,
Statistics, Pattern Recognition and Related Areas,

**Kirkman, Ellen E.**

Presentation: "Preparing
Women for Careers in
Mathematics and the Sciences."

Lecturer: "Graduate
Algebra." National Science Foundation
funded EDGE
program (Enhancing Diversity in Graduate Education),

Presentation:

Presentation: "The
Weyl Algebra and Its
Relations",

30 September 1998.

Paper: (with
Kuzmanovich, J.) "Non-Noetherian Down-up
Algebras." AMS and SMM Meeting,

Panelist: "Summer
Research Experiences in the
Sciences." Women in Science Program,

Panelist: "

Panelist: "The
Classroom Climate: A Chilly One for Women?" Women in Science,

Panelist: "Combining
Career and Family." Women in Science
Program,

**Kuzmanovich, James **

Paper: (with
Kirkman, E.) "Non-Noetherian Down-up
Algebras." AMS and SMM Meeting,

**Lyons, David W.**

Paper: "Convergence,
Behold!" "Mathematical Association of

Presentation: "The
Inner Life of the
3-sphere."

27 October 1998.

Presentation: "Visual Lie Theory."Institute for Advanced Study, Park City Mathematics Institute, Park City, UT, 24 July 1998.

**May, J. Gaylord
**

Paper:** **(with
Sulek, Joanne M.) "Data Sensitivity in Regression-based Control
Charts." Decision Sciences
Institute,

**Plemmons, Robert J.**

Paper: “Low
Rank Structured Operator
Approximations.” Society for Industrial
and Applied Mathematics ,

Presentation: "High
Resolution Imaging." SPIE,

Presentation:
“Adaptive Optics Control.”

Paper:
“Two Inverse Problems in Optical
Imaging." International Conference
on Inverse Problems,

Presentation: “Fast
Algorithms for Image
Restoration." NC

Presentation: “Phase
Retrieval in Imaging Through the
Atmosphere." International
Conference on Scientific Computation,

Presentation: “Mathematics
in Imaging Through Atmospheric
Turbulence." International Congress
on Applied Mathematics,

**Robinson, Stephen B.**

Paper: “Resonance Problems for the p-Laplacian.” Nonlinear Differential Equations: A Meeting Honoring Professor Alan Lazer, University of Miami, Coral Gables, FL, January 1999.

Presentation: "Back in the Saddle Again." Mathematical Association of America, High Point University, High Point, NC, April 1999.

**Thomas, Stan J.**

**
**

Presentation: Working
Group Leader and Poster
Presentation. ITiCSE '98,

**Wilson, David C.**

Presentation: "Problem
Solving-According to
Polya." National Council of
Teachers of Mathematics,

__III.
Editorships,
Offices, Consultancies__

**Baxley, John V.**

Steering Committee, Southeastern-Atlantic Regional Conference on Differential Equations.

Founding Editor and Editor-in-Chief, *The
IMEJ of Computer-Enhanced Learning.*

**Cañas, Daniel A.**

Consultant, Government of

**Carmichael, Richard D.**

Editorial
Board, *International Journal of
Mathematical and Statistical Sciences.*

Committee
on the Teaching of Undergraduate Mathematics, Mathematical Association
of

Faculty
Consultant, Project NExT, Mathematical Association of

Meeting
organizer, American Mathematical Society,

Conference
Organizing Committee, "Linear Algebra: Theory, Applications and
Computations: A Conference in Honor of Robert J. Plemmons,"

8-9 January 1999.

**Hemler, Paul F.**

Consultant, Army Research Laboratory.

**Howard, Frederic T.**

Board of Directors, The Fibonacci Association.

Conference Organizer, The Fibonacci Association.

**Howards, Hugh N.**

Organizer,
Special Session on "Recent Results on the Topology of 3-Manifolds,"
American Mathematical Society,

**Kirkman, Ellen E.**

Past President and Member of Executive Committee, Association for Women in Science-Piedmont Chapter.

Advisory
Panel, Interdisciplinary Grants in the Mathematical Sciences, National
Science
Foundation,

Organizer (with Kuzmanovich, J.), Special Session on "Noncommutative Algebra," American Mathematical Society, Winston-Salem, NC, 9-10 October 1998.

**Kuzmanovich, James**

Judge,
Math Counts Competition, **.**

Organizer (with Kirkman, E.), Special Session on "Noncommutative Algebra," American

Mathematical
Society,

**May, J. Gaylord**

Seminar Director, Piedmont Triad Chapter, American Production and Inventory Control Society.

Consultant, Vanguard Cellular.

**Plemmons, Robert J.**

Board of Trustees, Society for Industrial and Applied Mathematics.

Consultant and Advisor, Division of Computing, Information Science, and Engineering, National Science Foundation.

Editorial
Board, *Linear Algebra and Applications. *

Editorial
Board, *Electronic Transactions on
Numerical Analysis.*

Editorial
Board and Associate Managing Editor, *Applied
and Computational Control, Signals, and Circuits.*

**Robinson, Stephen B. **

Steering Committee, Southeastern-Atlantic Regional Conference on Differential Equations.

**Thomas, Stan J.**

Program Visitor, Computer Science Accreditation Board.

Visiting
Faculty,

Consultant, Eaton Corporation.

**Torgersen, Todd**

Conference
Organizing Committee, "Linear Algebra: Theory, Applications, and
Computations: A Conference in Honor of Robert J. Plemmons",

8-9 January 1999.

Board
of Future Generations,

**Wilson, David C**.

Member,

$1,802,186
"Improving Virtual
Colonoscopy with Automatic Polyp Detection.”
National

**Hemler, Paul** **F.**

$7,000
(Silicon Graphics S6I-NT
Workstation) “Research and Curriculum Use of
Visualization and High Performance Computing in Computer
Science.”

$10,000 "Texture Mapping in the PC
Environment." Instramentarium.

**Kirkman,
Ellen E.**

$4,000
"Program in
Noncommutative Algebra."
Mathematical Sciences Research
Institute,

**Plemmons, Robert J.**

$191,088 “Algorithms and Software for High-Resolution Imaging." National Science Foundation. (with Torgersen T.)

**Torgersen, Todd **

$191,088 “Algorithms and Software for High-Resolution Imaging." National Science Foundation. (with Plemmons, R.)

$9,660 "Linear Algebra: Theory, Applications and Computations." National Science Foundation. (with Nagy, J.)