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math.NT2026
On mod p Hecke algebras of abstract p-adic automorphic forms
Nha Xuan Truong
We study completed local shallow Hecke algebras acting on residual automorphic forms attached to projective augmented modules for $\GL_2(\Q_p)$. For odd primes , we prove that t…
math.DS2026
Density of repelling periodic points for cubic rational maps
Nha Xuan Truong
We prove the repelling-density conjecture for cubic rational maps over : for every prime , the classical Julia set is the closure of the classical repelling periodi…