Staff

Dr Jens Funke

Personal web page

Contact Dr Jens Funke (email at jens.funke@durham.ac.uk)

Research Groups

• Algebra
• Pure Mathematics

Research Interests

• Automorphic forms
• Number Theory

Publications

Journal papers: academic

• Funke, Jens & Millson, John (2012). Boundary behaviour of special cohomology classes arising from the Weil representation. Journal of the Institute of Mathematics of Jussieu 12(3): 571-634.
• Funke, J. & Millson, J. (2006). Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms. American Journal of Mathematics 128(4): 899-948.
• Bruinier, J. & Funke, J. (2006). Traces of CM values of modular functions. Journal fur die reine und angewandte Mathematik 594: 1-33.
• Bruinier, J. & Funke, J. (2004). On two geometric theta lifts. Duke Mathematical Journal 125(1): 45-90.
• Funke, J. & Millson, J. (2002). Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms. Manuscripta Mathematica 107: 409-449.
• Funke, J. (2002). Heegner divisors and non-holomorphic modular forms. Compositio Mathematica 133(3): 289-321.
• Funke, J., Bocherer, S. & Schulze-Pillot, J. (1999). Trace operator and theta series. J. Number Theory 78: 119-139.

Books: edited

• Funke, J., Cogdell, J., Rapoprt, M. & Yang, T. (2011). Arithmetic Geometry and Automorphic forms, Volume in honor of the 60th birthday of Stephen S. Kudla. Advanced Lectures in Mathematics. International Press and the Higher Education Press of China.

Essays in edited volumes

• Funke, J. & Millson, J. (2011). Spectacle cycles with coefficients and modular forms of half-integral weight. In Arithmetic Geometry and Automorphic forms. Cogdell, J. Funke, J. , Rapoport, M. & Yang, T. International Press and Higher Education Press, Beijing, China. 19: 91-154.
• Bruinier, J. & Funke, J. (2010). On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift. In Moonshine - the first quarter century and beyond. Lepowsky, J., McKay, J. & Tuite, M. Cambridge Cambridge University Press. 12-39.

Conference papers

• Funke, J. (2008), Special cohomology classes for the Weil representation, 1617: Automorphic Representations, Automorphic Forms, L-functions, and Related Topics. Kyoto, RIMS Kokyuroku, 106-119.
• Funke, J. (2007), CM points and weight $3/2$ modular forms, in Duke, W. & Tschinkel, Y. eds, Clay Mathematics Proceedings 7: Analytic Number Theory. A Tribute to Gauss and Dirichlet. Göttingen, Germany, American Mathematical Society, 107-127.