Ziqing Xiang

Ziqing Xiang is an Associate Professor in the Department of Mathematics and the National Center for Applied Mathematics Shenzhen at Southern University of Science and Technology (SUSTech). He completed his PhD at the University of Georgia (UGA) under the supervision of Daniel K. Nakano, with a dissertation titled "Representation theory for Iwahori-Hecke algebras and Schur algebras of classical type".

Education:

• PhD in Mathematics, University of Georgia (UGA), 2019

Research Interests:

His research lies at the intersection of algebraic combinatorics, representation theory, and number theory. Specific areas include:

• Combinatorics: association schemes, design theory, graph theory, symbolic dynamics, phylogenetic combinatorics
• Number Theory: Diophantine equations, finiteness of integral points, variable separated curves
• Representation Theory: algebraic groups, cohomology, Iwahori-Hecke algebras, quantum groups, Schur algebras

Publications Overview:

Dr. Xiang has published extensively in leading journals such as Advances in Mathematics, Journal of Algebraic Combinatorics, Discrete Mathematics, and Transformation Groups. His work spans theoretical classifications (e.g., tight designs, spherical designs), algebraic constructions (e.g., q-Schur algebras, quantum wreath products), and interdisciplinary applications (e.g., phylogenetic combinatorics).

Contact & Affiliation:

• Email: xiangzq@sustech.edu.cn
• Office: College of Science M5005, SUSTech