王菘

数论，自守型式 主要成果：1. 证明了Grunwald-Wang 定理的一个有效构造版本。 2. 证明了几类L-函数不存在Siegel 零点。

3. 提出并证明了Kim-Shahidi类的自守型式的尖点判别准则并首次明确指出该类尖点型式的实例。

4. 找出了几类与以前本质不同的局部共轭但整体不共轭的实例。^[1]

1. An Effective Version of the Grunwald-Wang Theorem, 博士论文, Caltech (2001).

2. On the Exceptional Zeros of Rankin-Selberg L-Functions (with D. Ramakrishnan), Compositio Mathematica 135 (2003), No. 2, 211-244.

3. Symmetric Power L-Functions for Modular Icosahedral Representations, IMRN (2003), No. 44, 2373-2390.

4. A Cuspidality Criterion for the Functorial Product on GL(2)×GL(3), with a cohomological application (with D. Ramakrishnan), IMRN (2004), No. 27, 1355-1394.

5. Dimension Data, Local Conjugacy and Global Conjugacy in Reductive Groups, preprint (2007, being revised, arxiv).