معرفی
Dr. William Paulsen is a Professor of Mathematics at Arkansas State University's Beck College of Sciences & Mathematics in the Department of Mathematics & Statistics. His academic journey includes a B.A., M.A., and Ph.D. from Washington University in St. Louis (1985, 1987, 1990). His research spans Applied Mathematics, Fractal Dimensions, and Abstract Algebra, with notable contributions to structural dynamics and aperiodic tiling theories.
Education
- B.A., Mathematics, Washington University - St. Louis, 1985
- M.A., Mathematics, Washington University - St. Louis, 1987
- Ph.D., Mathematics, Washington University - St. Louis, 1990
Research Interests
Dr. Paulsen's work in Applied Mathematics focuses on eigenfrequency distributions in beam structures and fractal dimensions. In Abstract Algebra, he explores group presentations and Galois theory. His 2002 Geombinatorics paper on 3-coloring Penrose tilings demonstrates intersectional creativity in discrete geometry.
Publications and Projects
Recent studies include the 2014 Journal of Sound and Vibration work on Exterior Matrix Methods for eigenfrequencies and the 2002 Complex Variables analysis of polylogarithms. Earlier works (1990s) address structural engineering challenges and fractal dimension theory. His projects include tetration problem-solving and Abstract Algebra courseware development.
Scientific Awards
No scientific awards are mentioned in the provided texts.
Advising and Collaborations
No advisees or collaborative projects beyond co-authored works (e.g., with M. Manning and M. Franklin) are listed in the texts.
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