Daqing Wan

Daqing Wan is a Professor in the Department of Mathematics at the University of California, Irvine. His research focuses on algebra and number theory, with a particular emphasis on finite fields, exponential sums, and arithmetic geometry. He has made significant contributions to understanding zeta functions, Kloosterman sums, and coding theory applications.

His work spans topics such as algebraic geometry over finite fields, p-adic cohomology, and the arithmetic of function fields. Notable research interests include the study of Frobenius eigenvalues, deep holes in Reed-Solomon codes, and the Lang-Trotter conjecture for elliptic curves. Wan has also explored the interplay between algebraic structures and their applications in cryptography and coding theory.

Recent publications highlight his expertise in exponential sums, Artin-Schreier-Witt towers, and the analysis of algebraic varieties over finite fields. His research often bridges pure mathematics with computational aspects, such as algorithmic counting over finite fields and the study of zeta functions in p-adic settings.