Sungmun Cho

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20242026

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math.NT2026

Ideal class monoids of cubic orders

Sungmun Cho, Jungtaek Hong, Yuchan Lee

Let $R$ be an order in a number field, let $Cl (R)$ be its ideal class monoid, and let $Cl (R)$ act on it by multiplication. The local-global product for…

math.NT2026

Global geometrization of local smooth integral models in the Hitchin fibration for $GL_{n}$ : The Bass case

Sungmun Cho, Jungtaek Hong

In previous joint work, we proposed a new method to study local orbital integrals for $GL_{n}$ (where $n = 3$ or in the Bass case), by employing a smoothening method of a cert…

Ideal class monoids of cubic orders

Global geometrization of local smooth integral models in the Hitchin fibration for GLn​: The Bass case

Global geometrization of local smooth integral models in the Hitchin fibration for $GL_{n}$ : The Bass case