**DEPARTMENT OF MATHEMATICS**

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**FACULTY ACTIVITIES REPORT**

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**FOR JULY 1, 2000 TO JUNE 30, 2001**

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

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**I. Publications, Performances,
Exhibits**

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**MATHEMATICS **

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**Baxley, John V.**

(with Sorrells, K. P.)
“A Class of Singular Nonlinear Boundary Value Problems.” *Mathematical and Computer Modeling *32 (2000):
631-641.

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**Berenhaut, Kenneth S.**

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(with Lund, R. B.)
"Geometric Renewal Convergence Rates from Hazard Rates." *Journal of Applied Probability* 38
(2001): 180-194.

**Howards, Hugh N.**

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(with Freedman, Michael and Wu, Ying-Qing) "Extension of Incompressible Surfaces on the Boundaries of 3-Manifolds." Pacific J. Math 194 (2000): 335-348.

"Knotted Spheres and Graphs in Balls." J. Knott
Theory Ramifications* *9 (2000):
917-937.

(with Morgan, Frank and Hutchings, Michael) "The Isoperimetric Problem on Surfaces
of Revolution of Decreasing Gauss Curvature." Trans. Amer. Math.
Soc. 352 (2000): 4889-4909.

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**Kirkman, Ellen E.**

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(with Kuzmanovich, James)
"Primitivity of Noetherian Down-Up Algebras." *Communications
in Algebra *28 (2000): 2983-2997.

(with Kuzmanovich, James)
"Non-Noetherian Down-Up Algebras." * Communications in Algebra *28
(2000): 5255-5268.

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**Kuzmanovich, James**

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(with Kirkman, E.) "Primitivity of Noetherian Down-Up
Algebras." *Communications in Algebra *28 (2000): 2983-2997.

(with Kirkman E.)
"Non-Noetherian Down-Up Algebras." * Communications in Algebra *28
(2000): 5255-5268.

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**May, J. Gaylord**

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(with Sulek, Joanne M.) "Retail Forecasting in a Service Industry: The Role of Forecast Combination." Decision Sciences Institute 2000 Proceedings 3 (2000): 1218-1220.

(with Sulek, Joanne M.) "An LAV Methodology for Forecast Combination in Services Forecasting." Proceedings of the Twelfth Annual Conference of the Production and Operations Management Society POM-2001 (2001).

**Norris, James L.**

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(with Wileyto, E. P., Weaver, D. K., and Arbogast, R. T.)
"Self-Marketing Precapture Models for Estimating Closed Insect
Populations." *Journal of
Agricultural Biological and Environmental Statistics* 5 (2000): 456-474.

(with Pollock, K. H.) "Nonparametric MLE Incorporation of Heterogeneity and Model Testing Into Premarked Cohort Studies." Environmental and Ecological Statistics 8 (2001): 21-32.

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**Plemmons, Robert J.**

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(with Ng, M. and Qiao, S.) "Regularization of RIF Blind Image Deconvolution." IEEE Trans. on Image Processing 9 (2000): 1030-1044.

(with Ellerbroek, B., Pauca, P., and Sun, X.) "Structured Matrix Representations of Two-Parameter Hankel Transforms in Adaptive Optics." Linear Algebra and Its Applications 316 (2000): 29-45.

(with Chu, M., Pauca, P., and Sun, X.) "A Mathematical Framework for the Linear Reconstructor Problem in Adaptive Optics." Linear Algebra and Its Applications 316 (2000): 89-105.

(with Mu, Z.) "Regularization Methods for Image Restoration Based on Autocorrelation Functions." Optical Science and Technology 4116 (2000): 111-121.

(with Ng, M., and Pimentel, F.) "A New Approach to Constrained Total Least Squares Image Restorations." Linear Algebra and Its Applications 316 (2000): 237-259.

"Inverse Problems in Atmospheric Imaging." Hellenic European Research on Mathematics and Information Science 1 (2000): 109-118.

**Robinson, Stephen B.**

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(with Rumbos, A. J., and Shapiro, V. L.) "One-Sided Resonance Problems for
Quasilinear Ellipic Operators." *Journal
of Mathematical Analysis and Applications* 256 (2001): 636-649.

(with Hemler, P., and Webber, R.) "A Geometric Problem in Medical Imaging." Proceedings of the SPIE (2000): 4121-4123.

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**MATHEMATICS **

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** Allen,
Edward E.**

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Presentation: "Garsia-Haiman Modules and Representation of the Complex Reflection Groups." University of California, San Diego, 22 May 2001.

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**Baxley, John V.**

Presentation: "Some Existence Results for Singular Boundary Value Problems." The Third World Congress of Nonlinear Analysis, Catania, Sicily, Italy, 19 July 2000.

Paper: " Nonlinear Boundary Value Problems with Multiple Positive Solutions." American Mathematical Society, Birmingham, AL, 10-12 November 2000.

Presentation: "Global Solutions of Nonlinear Initial Value Problems." Fifth Mississippi State Conference on Differential Equations and Computational Simulations, Mississippi State University, 18-19 May 2001.

**Carmichael, Richard D.**

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Paper: (with
Pilipovic, S.) "Generalizations of
_{} Functions and
Applications." International Conference on Geometry, Analysis and
Applications, Banaras Hindu University, Varanasi, India, 21-24 August 2000.

Paper: (with Pilipovic, S.)
"Generalizations of _{} Functions and
Applications." American Mathematical Society, New Orleans, Louisiana,
10-13 January 2001.

**Chatham, R. Douglas**

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Paper: "On Pseudo-Valuation Domains Whose Overrings are Going-Down Domains." American Mathematical Society, New Orleans, Louisiana, 10-13 January 2001.

**Daniel, Douglas S.**

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Paper: "A Tauberian Style Theorem For Two Dimensional Walsh Series." American Mathematical Society, New Orleans, Louisiana, 10-13 January 2001.

**Howard, Fredric T.**

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Paper: "A Tribonacci Identity." Ninth International Conference on Fibonacci Numbers, Luxembourg, 14-23 July 2000.

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**Howards, Hugh N.**

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Paper:
"Strongly _{}-Trivial Knots." Knots 2000 Conference, Yong Pyong,
Korea, 3 August 2000.

Presentation: "Knots From A Mathematical Perspective." High Point University, High Point, North Carolina, 20 September 2000.

Presentation: "Embedding Surfaces in 3-Manifolds." University of Vermont, Burlington, Vermont, 20 October 2000.

Presentation: "Knot Theory From a Mathematical Perspective." North Forsyth High School, Winston-Salem, North Carolina, 8 May 2001.

Presentation: "Knot Theory and Applications." North Forsyth High School, Winston-Salem, North Carolina, 8 May 2001.

**Jiang, Miaohua**

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Presentation: "Sinai-Ruelle-Bowen Measures for Lattice Dynamical Systems." Departamento de Matematica, Instituto Superior Tecnico, Lisbon, Portugal, 3 July 2000.

Presentation: "The Gibbs Potential and the Entropy of Coupled Circle Maps." SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, 22 May 2001.

**Kirkman, Ellen E.**

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Presentation: "The Weyl Algebra and Its Relations." Virginia Tech, Blacksburg, Virginia, 10 November 2000.

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**May, J. Gaylord**

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Paper: (with Sulek, Joanne M.) "Retail Forecasting in a Service Industry: The Role of Forecast Combination." Decision Sciences Institute, Orlando, Florida, 18-21 November 2000.

Paper: (with Sulek, Joanne M.) "An LAV Methodology for Forecast Combination in Services Forecasting." Production and Operations Management Society, Orlando, Florida, 30 March - 2 April 2001.

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**Norris, James L.**

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Paper: (with Pollock, K. H.) "Applicability of Poisson Species Abundance Models." International Euring Conference, 2000.

Presentation: (with Arai, H.) "Utility of the Metropolis-Hastings Algorithm." Wake Forest University Biostatistics, 2001.

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**Plemmons, Robert J.**

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Presentation: "Imaging Using Phase Retrieval." DAPRA/ARO Workshop on Integrated Imaging, Boulder, Colorado, July 2000.

Presentation: "Optical and SAR Imaging Project for ARO Grant." Army Research Laboratory, Adelphi, Maryland, August 2000.

Presentation: "Inverse Problems in Atmospheric Imaging." SIAM Conference on Computational Science and Engineering, Washington, DC, September 2000.

Paper: "Structured Matrix Computations in Adaptive Optics." International Conference on Structured Matrices, Cortona, Italy, September 2000.

Paper: "Low
Rank Circulant Approximations." Conference in Honor of Pete Stewart's 60^{th}
Birthday, College Park, Maryland, October 2000.

Presentation: "Imaging Through the Atmosphere." SIAM Conference on Linear Algebra and Applications, Raleigh, North Carolina, October 2000.

Presentation: "Phase-Diversity Based Image Post Processing." AFOSR Workshop on Space Object Imaging, Maui, Hawaii, December 2000.

Presentation: "Inverse Problems in Atmospheric Imaging." International Workshop on Mathematics in Imaging, Hong Kong, China, December 2000.

Presentation: "Algorithms and Software for High Resolution Imaging." International Seminar on Mathematics of Computers, Patras, Greece, May 2001.

Presentation: "Comparison of Iterative Methods for Inverse Problems in Imaging." IMACS Conference on Iterative Methods, Heraklion, Crete, May 2001.

Presentation: "Inverse Problems in Optical Imaging." International Conference on Inverse Problems, Tuscany, Italy, June 2001.

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**Robinson, Stephen B.**

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Presentation: "Some Remarks on the Characterization of the Second Eigenvalue for a Class of Quasilinear Operators." Third World Congress of Nonlinear Analysis, Catania, Italy, 19-26 July 2000.

Paper: "A Geometric Problem in Medical Imaging." SPIE National Meeting, San Diego, California

31 July - 1 August 2000.

Paper: "One-Sided Resonance Problems for a Class of Quasilinear Operators." American Mathematical Society, San Francisco, California, 21-22 October 2000.

Paper: "Characterizing the Second Eigenvalue for a Class of Nonhomogenous Quasilinear Problems." American Mathematical Society, Las Vegas, Nevada, 21-22 April 2001.

Paper: "Characterizing the Second Eigenvalue for a Class of Nonhomogeneous Quasilinear Problems." MSU Conference on Differential Equations and Computational Simulation, Mississippi State University, Starkville, Mississippi, 18-19 May 2001.

**Wilson, David C.**

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Presentation: "Mathematical Gems Discovered and Uncovered." North Carolina Council of Teachers of Mathematics, Greensboro, North Carolina, 5 October 2000.

**III.
**__Editorships,
Offices, Consultancies__

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**MATHEMATICS **

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**Baxley, John V.**

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Member, Steering Committee, Southeastern-Atlantic Regional Conference in Differential Equations.

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**Carmichael, Richard D.**

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

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Member, Committee on the Teaching of Undergraduate Mathematics, Mathematical Association of America.

Faculty Consultant, Project NexT, Mathematical Association of America.

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**Howard, Fredric T.**

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Editor, *Conference
Proceedings of the Fibonacci Association.*

President, Fibonacci Association.

**Howards, Hugh N.**

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Editor, *eCalculus.org*.

Head Judge, National High School Calculus Student Award.

**Kirkman, Ellen E.**

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NSF Review Panel: Research Experiences for Undergraduates. Arlington, VA, 2-4 January 2001.

Association of Women in Mathematics Postdoc Selection Committee.

Association of Women in Mathematics Mentor.

Member, AMS/MAA Joint Survey Data Committee.

**Kuzmanovich, James**

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Member, Editorial Board, *Communications
in Algebra*.

**Plemmons, Robert J.**

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Member, Editorial Board, *Linear
Algebra and Applications.*

Member, Editorial Board, *Electronic
Transactions on Numerical Analysis.*

Member, Editorial Board, *Applied
and Computational Control, Signals, and Circuits.*

Member, Board of Trustees, SIAM (Society for Industrial and Applied Mathematics).

Chair, SIAM Committee on Local Sections.

Vice Chair, SIAM Activity Group on Imaging Science.

Member, Organizing Committee for Conference on Integrated Imaging, Optical Society of America (OSA), 2001.

Member, Organizing Committee for Joint Conference on Fast Algorithms, American Mathematical Society (AMS) - Society for Industrial and Applied Mathematics (SIAM), 2001.

Member, Organizing Committee for Joint Conference on Imaging Science, SIAM, 2001.

Member, Organizing Committee for Conference on Inverse Problems, Cortina, Italy, 2001.

Member, Organizing Committee for Conference on Optimization and Numerical Linear Algebra,

Brazil, 2001.

Consultant, Air
Force Space Command, Maui, Hawaii.

**Wilson, David C.**

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Member, North Carolina State Mathematics Contest Committee.

* *

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**MATHEMATICS **

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**Plemmons, Robert J.**

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$213,043.00 "Innovative Computational Methods for Inverse Problems in Optical and SAR Imaging."

Army Research Office.

$31,644.00 "Space Object Imaging: Subcontract with University of New Mexico."

Air Force Office of Scientific Research.

$285,422.00 "Information Theoretic Studies of Image Formation, Detection and Processing."

Air Force Office of Scientific Research.