Lynne Walling's Home Page
Office: Howard House 4.13
Phone: +44 (0) 117 33 15245
E-mail:
l.walling@bristol.ac.uk
Office hour, TB2 2013: 11:00-12:00 Mon
days
Courses
Student Projects
Some of my Papers
- Hecke operators on theta series attached to lattices of arbitrary rank (Acta Arith., 1990)
- On lifting Hecke
eigenforms (Trans. AMS, 1991),
and corrected
proof of Lemma 1.1
- Hecke eigenforms and representation numbers of quadratic forms (Pacific J. Math., 1991)
- Hecke eigenforms and representation numbers of arbitrary rank lattices (Pacific J. Math., 1992)
- Twists of Hilbert modular forms (with T.R. Shemanske, Trans. AMS, 1993)
- Sums of squares over function fields (with K.D. Merrill, Duke J. Math., 1993)
- 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. of 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. Number Theory 2002)
- A weak multiplicity-one theorem for Siegel modular forms (with R. Scharlau, Pacific J. Math., 2003)
- Siegel modular forms and Hecke operators in degree 2 (with J.L. Hafner, in Number Theory for the Millenium II, 2000)
- On bounding Hecke-Siegel eigenvalues (J. of Number Theory, 2006)
- Action of Hecke operators on Siegel theta series I (International J. Number Theory, 2006)
- Hecke
operators on Hilbert-Siegel modular forms
(with S. Caulk; International J. Number
Theory, 2007)
- Action of
Hecke operators on Siegel theta series II
(International J. Number Theory, 2008)
- Explicit
matrices for Hecke operators on Siegel modular
forms
- On a
reciprocity theorem of Gauss ("Quadratic
forms---algebra, arithmetic, and geometry",
Contemp. Math. 493, 2009)
- Restricting
Hecke-Siegel operators to Jacobi modular forms
(corrected version)
(J. Number Theory, 2009)
- Restriciting
Hecke-Siegel operators to Jacobi modular
forms: Errata
- Half-integral weight Siegel
modular forms, Hecke operators, and theta
series
- Constructing simultaneous Hecke eigenforms (with T.R. Shemanske and S. Traneer, International J. Number Theory, 2010)
- A formula
for the action of Hecke operators on
half-integral weight Siegel modular forms and
applications (J. Number Theory 2013)
- Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series (J. Number Theory 2012)
Presentations on Women, Diversity, and Education
Course Development