Lynne Walling
Professor
Ph.D. Dartmouth, 1987
- Office:
- Math 208
- E-mail:
- walling@euclid.colorado.edu
- Mailing address:
- Lynne Walling
- Department of Mathematics
- University of Colorado at Boulder
- Campus Box 395
- Boulder, CO 80309-0395
- USA
- Phone:
- 303-492-1044
- Fax:
- 303-492-7707
- Research interests:
- Number theory
- Web Page:
- http://math.colorado.edu/~walling
- Research:
My research is on quadratic forms and automorphic forms. I am interested in representation numbers of quadratic forms (over number fields or function fields), and I use automorphic forms of various types to study these. I also work on the theory of automorphic forms, including integral and half-integral weight, holomorphic and non-holomorphic, Hilbert, Siegel, Hilbert-Siegel, and forms over function fields.
- Select Publications:
-
Automorphic forms and sums of squares over function fields (with J. Hoffstein and K.D. Merrill). J. Number Theory 1999.
Explicit Siegel theory: an algebraic approach. Duke J. Math. 1996.
Indefinite quadratic forms and Eisenstein series (with J.L. Hafner). Forum Math. 1999.
Explicit action of Hecke operators on Siegel modular forms (with J.L. Hafner). J. of Number Theory 2002.
Action of Hecke operators on Siegel theta series I . International J. of Number Theory 2006.