William H. Paulsen
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Professor of Mathematics
Also affiliated: Washington University in St. Louis (1991); Brown University (1995–1997)
Research Areas
Links
Biography and Research Information
OverviewAI-generated summary
William Paulsen's research focuses on abstract algebra and computational mathematics. His recent publications explore topics such as fractal geometry, group theory, and the implementation of cryptographic systems. He has investigated permutation groups, the structure within groups, and patterns within their cosets. Paulsen has also analyzed specific mathematical functions for fractional values and worked on implementing the Elliptic Curve CSIDH cryptosystem. His scholarly contributions include 55 publications with 214 citations and an h-index of 7. He has collaborated with Victoria Mardis on shared publications.
Metrics
- h-index: 7
- Publications: 62
- Citations: 217
Positions
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Professor of Mathematics publications 1994–2026Arkansas State University Institution web page
Selected Publications
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Analyzing the function $$z\uparrow \uparrow \!a$$ for fractional a (2026)
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Implementing the Elliptic Curve CSIDH Cryptosystem (2025)
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Creating Large Life Forms with Interactive Life (2024)
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Calkin-Wilf Sequences for Irrational Numbers (2023)
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An Overview of the Exterior Matrix Method (2023)
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A Peano-based space-filling surface of fractal dimension three (2023)
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The Sock Problem Revisited (2021)
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Gamma triads (2019)
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Greedy Queens on an Infinite Chessboard (2019)
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Tetration for complex bases (2018)
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Solving F(z + 1) = b F(z) in the complex plane (2017)
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FINDING THE NATURAL SOLUTION TO f(f(x)) = exp(x) (2016)
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Finding vibrations of inclined cable structures by approximately solving governing equations for exterior matrix (2015)
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Asymptotic Analysis and Perturbation Theory (2013)
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Using the Exterior Matrix Method to find eigenfrequencies when the governing equations are systems of first-order equations (2013)
Collaboration Network
Top Collaborators
- Eigenfrequency analysis of cable structures with inclined cables
- Using the Exterior Matrix Method to find eigenfrequencies when the governing equations are systems of first-order equations
- Calculating in-plane frequencies of multispan cables using the Exterior-Matrix Method
- Z specifications meet Mathematica for exploratory prototyping
- Finding vibrations of inclined cable structures by approximately solving governing equations for exterior matrix
- Solving F(z + 1) = b F(z) in the complex plane
- Implementing the Elliptic Curve CSIDH Cryptosystem