William Banks

William Banks
William Banks
Research Interests: 
102 Mathematical Sciences Building
Phone Number: 

William D. Banks, Ph.D., is a Professor in the Department of Mathematics at the University of Missouri.  His area of specialization is number theory, which focuses on properties of the natural numbers. With over one hundred research articles in print, Banks has produced an extensive and diverse collection of results in algebraic and analytic number theory, and in other areas such as representation theory and cryptography. Banks has collaborated with many top researchers in his field, and his work has been supported by the National Science Foundation. Currently, Banks' work revolves around the Riemann zeta function, Dirichlet L-functions, sieve theory, and estimates of exponential sums.

As an instructor, Banks constantly strives to bring out the best in his students. He cares deeply about their future success.  In 2003, Banks received the Provost Outstanding Junior Faculty Teaching Award.

  • 1994 Ph.D., Stanford University
  • 1986 B.S., California Institute of Technology
Frequently Taught Courses: 
  • MATH 2300 Multivariable Calculus
  • MATH 4330 Number Theory
  • MATH 8302 Theory of the Riemann zeta function
Research Interests: 

Algebraic and Analytic Number Theory, Representation Theory, Cryptography

Select Publications: 

with V. Castillo-Garate, L. Fontana and C. Morpurgo.  Self-intersections of the Riemann zeta function on the critical line.  J. Math. Anal. Appl. 406 (2013), no. 2, 475-481.

with R. Baker, J. Brüdern, I. Shparlinski and A. Weingartner, Piatetski-Shapiro sequences. Acta Arith. 157 (2013), no. 1, 37-68.

with S. Kang.  On repeated values of the Riemann zeta function on the critical line.Experiment.  Math. 12 (2012), no. 2, 132-140.

with A. Harcharras. On the norm of an idempotent Schur multiplier on the Schatten class. Proc. Amer. Math. Soc. 132 (2004), no. 7, 2121-2125

with D. Hart and M. Sakata.  Almost all palindromes are composite,  Math. Res. Lett. 11 (2004) nos. 5-6, 853-868.

with J. Levy and M. Sepanski. Block-compatible metaplectic cocycles, J. Reine Angew. Math. 507 (1999), 131-163.

Twisted symmetric-square L-functions and the nonexistence of Siegel zeros on GL(3). Duke Math. J. 87 (1997), no. 2, 343-353.