Hi! This is Xu Gao (a.k.a. Syu Gau),
a Mathematical postdoc.

I have completed my Ph.D. degree and graduated from UC Santa Cruz on June 2023.

I have a wide range of interests in mathematics: $p$-adic geometry, representation theory, mathematical physics, algebraic analysis, tensor triangular geometry, higher category theory, homotopical algebras, transcendental number theory, etc.

My Ph.D. dissertation focuses on Bruhat-Tits buildings and $p$-adic representations under the advice of Junecue Suh. More precisely, I studied simplicial distance in Bruhat-Tits buildings. The larger goal is to understand the fixed-point sets in Bruhat-Tits buildings and their applications to $p$-adic representations.

Before moving to UCSC, I received my master degree at Chern Institute of Mathematics, Nankai University under the advice of Chengming Bai, studying pre-Lie algebras.

Email: xgao26@ucsc.edu or gausyu@gmail.com