Hoon Hong

Hoon Hong is a Professor in the Department of Mathematics at North Carolina State University (NC State), affiliated with the College of Sciences. He holds editorial roles, including former Editor-in-Chief of the Journal of Symbolic Computation. His primary research focuses on developing mathematical theories, algorithms, and software for solving algebraic constraints in mathematics, science, and engineering. Key areas include computer algebra, computational real algebraic geometry, and quantifier elimination.

Education: PhD in Mathematics from The Ohio State University (1990). He leads the Symbolic Computation research group and has advised numerous PhD and Master’s students since 1993. His work emphasizes efficiency in solving algebraic constraints through novel mathematical frameworks and algorithmic improvements, often leveraging structure and approximation techniques.

Research Interests: Hong’s research centers on solving algebraic constraints via mathematical theories (e.g., subresultants, discriminants), algorithm design (e.g., parameterization, reparameterization), and software development (e.g., ImUp package). He explores applications in geometric modeling, optimization, and numerical analysis, with a focus on real algebraic geometry and symbolic computation.

Notable Contributions: Development of the ImUp package for uniformity-improved curve reparameterization, structural analysis of cyclotomic polynomials, and advancements in quantifier elimination techniques. His work bridges theoretical computer algebra with practical applications in engineering and science.

Lab/Team: Active in the Symbolic Computation group at NC State, collaborating on projects related to algebraic algorithms, computational geometry, and mathematical software development.