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Xiang Li

Section 1.1 Home

Welcome to my personal website! Here is the definition of me.

Definition 1.1.1.

I’m Xiang Li 李想, a math PhD student of algebra and number theory in the University of Edinburgh working with Prof. Minhyong Kim since 2023. My interests are in algebraic number theory and arithmetic geometry. To be more specific, I am interested in non-abelian Chabauty methods, which provide an efficient way to find rational points on a curve.

Remark 1.1.2.

I’m also a member of Hodge Institute. And click here to see my CV (curriculum vitae). For more infos, click buttons on the sidebar.
\begin{equation*} \begin{CD} X(\mathbb{Q}) @>>> X(\mathbb{Q}_p) @>{=}>>X(\mathbb{Q}_p)\\ @VV{j}V @VV{j_p}V @V{\mathrm{loc}}V{\mathrm{analytic}}V\\ H_f^1(G_\mathbb{Q},U^{\text{é}\mathrm{t}}(X,p)) @>{\mathrm{loc}}>> H_f^1(G_{\mathbb{Q}_p},U^{\text{é}\mathrm{t}}(X,p))@>{\simeq}>> F^0U^{\mathrm{dR}}(X,p)\backslash U^{\mathrm{dR}}(X,p) \end{CD} \end{equation*}
Figure 1.1.3. The cursed curve, plotted using SageMath by Sachi Hashimoto