# Council for African American Researchers in the Mathematical Sciences: Volume IV

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*Gaston M. N’Gué ré kata; Asamoah Nkwanta*

This volume contains selected papers from the Sixth Conference for African
American Researchers in the Mathematical Sciences (CAARMS), held at Morgan
State University in Baltimore (MD). The CAARMS organizes this annual conference
showcasing the current research primarily, but not exclusively, of African
Americans in the mathematical sciences. Since the first conference in 1995,
significant numbers of researchers have presented their current work in
technical talks, and graduate students have presented their work in organized
poster sessions.

Research topics include mathematics (number theory, analysis, topology,
differential equations, algebra, combinatorics, etc.), mathematical physics,
mathematical biology, operations research, probability and statistics, and
computer science. In addition to the invited talks, tutorials and group
discussions on various topics are organized to stimulate, nurture, and
encourage increased participation by African Americans and other
underrepresented groups in the mathematical sciences. These events create an
ideal forum for mentoring and networking where attendees can meet researchers
and graduate students who are interested in the same fields.

For volumes based on previous CAARMS proceedings, see African Americans
in Mathematics, Volume 34, in the AMS Series, DIMACS, Series in Discrete
Mathematics and Theoretical Computer Science, African Americans in Mathematics II,
Volume 252, and Council for African American Researchers in the
Mathematical Sciences: Volume III, Volume 275, in the AMS series,
Contemporary Mathematics.

#### Readership

# Table of Contents

## Council for African American Researchers in the Mathematical Sciences: Volume IV

- Contents vii8 free
- In appreciation ix10 free
- Preface xi12 free
- I. Research Articles 114 free
- Hyponormality and a family of Toeplitz operators on the Bergman space 316
- A ternary algebra with applications to binary quadratic forms 720
- Spectral characterization of ergodic dynamical systems 1326
- Epidemics on attractors 2336
- A definition of vague coherent systems 4356
- Spatial data analysis for discrete data on a lattice 5366
- New perspectives in moment-wavelet analysis from quantum operator theory: Scalets and local quantization 5972

- II. Historical Articles 103116
- Numbers that count—Persons who impact, mathematically! 105118
- I. INTRODUCTION 107120
- ll. THE UNITED STATES OF AMERICA IN THE YEAR 2020 AND BEYOND 116129
- III. A PROJECTION OF THE MATHEMATICAL SCIENCES COMMUNITY IN THE USA IN THE YEAR 2020 AND BEYOND 118131
- IV. HOW CAN PERSONS CONCERNED ABOUT THE MAXIMUM DEVELOPMENT OF THE MATHEMATICAl TALENT OF ALL AMERICANS; ESPECIALLY, THOSE GROUPS THAT ARE CURRENTLY UNDER-REPRESENTED (MATHEMATICALLY), INFLUENCE THE COMPOSITION OF THE MATHEMATICAL SCIENCES COMMUNITY IN THE YEAR 2020 AND BEYOND? 121134
- V. HOUSTON'S THREE SCORE AND TEN MATHEMATICAL CHALLENGE: 05 10 10 10 10 05 19 01 127140
- VI. CONCLUDING REMARKS 131144