Lynne Walling's Home Page
Office: Fry Building, room 1.27
Phone: +44 (0) 117 42 84903
E-mail:
l.walling@bristol.ac.uk
Fall 2020 Office Hours: To be arranged
Recent CV
5th EU/US RESEARCH SUMMER SCHOOL AND WORKSHOP ON AUTOMORPHIC FORMS AND RELATED TOPICS (Building Bridges 5)
Postponed; we hope we will be able to host this July 2021
An opportunity for researchers in automorphic forms and related topics to learn and share knowledge
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)
- Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series (J. Number Theory 2012)
- A formula for the action of Hecke operators on half-integral weight Siegel modular forms and
applications (J. Number Theory 2013)
- A formula for the action of Hecke operators on half-integral weight Siegel modular forms and
applications, corrigendum (J. Number Theory 2013)
- Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character
(International J. Number Theory, 2017)
- Hecke operators on half-integral weight Siegel Eisenstein series (International J. Number Theory, 2017)
- Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level (J. Number Theory, 2017)
- Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series (Ramanujan J. Math, 2018 )
- (with Dan Fretwell) Hecke operators on Hilbert-Siegel theta series (submitted)
Presentations on Women, Diversity, and Education
2018 Pint of Science Talk
University of Bristol Open Day Talk
Best of Bristol Talk