Joseph Hundley SIUC, Mathematics Assistant Professor   Ph.D. Columbia University, 2002   Representation Theory, Automorphic Forms and L-functions    Office: Neckers A 255 Office Phone: 618-453-6579 Email: jhundley at math.siu.edu Web Page: www.math.siu.edu/hundley/personal/html

Research Interests

The bulk of my work is in the Rankin-Selberg method, and much of it is joint with David Ginzburg. The Rankin-Selberg method is a method of studying the Dirichlet series with Euler product, known as L functions, which were attached by Langlands to automorphic representations of adele groups. The local computations involved often require specialized branching rules or tensor product formulae for families of finite dimensional representation of complex Lie groups, and have interesting connections with invariant theory. Global applications to functoriality often involve characterizing the image of functorial lifts.

Selected Publications

1. Spin L-functions for GSO(10) and GSO(12), Israel J. Math. 165 (2008), 103-132.
2. (with D. Ginzburg) On Spin L functions for GSO(10) J. Reine Angew. Math. 603 (2007) pp 183-213.  
3. Siegel zeros of Eisenstein series, Acta Arith. 126 (2007), No. 4, pp.341-356 
4. (with W.T. Gan) The spin L-function of quasi-split D4. IMRP Int. Math. Res. Pap. 2006, Art. ID 68213, 74 pp.  
5. (with D. Ginzburg) Multivariable Rankin-Selberg integrals for orthogonal groups. Int. Math. Res. Not. 2004, no. 58, 3097--3119.