N. Truong

collaborators

2 papers

math.NT2026

Local fields, iterated extensions, and Julia Sets

Pui Hang Lee, Michelle Manes, Nha Xuan Truong

Let $K$ be a field complete with respect to a discrete valuation $v$ of residue characteristic $p$ . For $I^\pm \in K$ , let $K_{\infty}$ be the extension obtained by adjoining all iterate…

math.NT2026

Slopes of modular forms and geometry of eigencurves

Ruochuan Liu, Nha Xuan Truong, Liang Xiao +1

Under a stronger genericity condition, we prove the local analogue of ghost conjecture of Bergdall and Pollack. As applications, we deduce in this case (a) a folklore conjecture of…