Hello! This is Weixiao Lu, a fifth year Ph.D. student at MIT, advised by Prof. Wei Zhang. Before that, I obtained my Bachelor’s degree from Peking University in Beijing, China.

Research Interest

• Automorphic Representation Theory
• Arithmetic Properties of L-function.

Research

• (joint with Paul Boisseau and Hang Xue) The global Gan-Gross-Prasad conjecture for Fourier-Jacobi periods on unitary groups, preprint

• On the geometric side of the Jacquet-Rallis RTF, preprint

• (joint with Ryan Chen and Wei Zhang) Faltings heights and the subleading terms of adjoint L-functions, in preparation

Notes

• GGP conjectures for unitary groups, a talk given at MSRI on introduction to GGP conjectures for unitary group, including a joint work with Hang Xue and Paul Boisseau on Fourier-Jacobi periods.

• Kolyvagin Theorem, a talk on Kolyvagin’s theorem on elliptic curves.

• Adic Spaces,Diamond Two talks on Berkeley Notes.

• Algebraization of Complex Torus

• Examples of Brauer Groups (In Chinese)

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