Boming Jia

activity

20242026

collaborators

6 papers

math.RT2026

Cotangent Models of Nilpotent Orbit Closures

Boming Jia

Let $O$ be a nonzero nilpotent orbit in a complex simple Lie algebra $g$ . For $g$ of classical type, we classify the orbit closures $\overline{\mathcal…

cs.MA2026

Reconcile Once, Write Anytime: A Trust-Tiered Librarian and a Multi-Agent Writer for Drift-Free, Point-in-Time Research

Xing Zhang, Yanwei Cui, Guanghui Wang +1

Long-form research reports generated by large language models drift, contradict themselves, and lose provenance: the same metric appears with different values, and rumor is quoted…

math.RT2026

Highest Weight Varieties and Narayana Numbers

Boming Jia

We compute the Hilbert series of the coordinate ring of some highest weight varieties. We also explain why Narayana numbers (and their generalizations) appear naturally in the nume…

math.AG2025

Minimal Nilpotent Orbits and Toric Varieties

Boming Jia, Yu Li

Let $O_{min} \cap (n^{+} \oplus n^{-})$ be the collection of elements of $sl_{n + 1} (C)$ with rank less than or equal t…

math.RT2025

Minimal Nilpotent Orbits of type D and E

Boming Jia

We first show the closure of the minimal nilpotent adjoint orbit Omin^{D_n} in so_{2n} is isomorphic to the affinization of T^*(SL_{n-1}/[P,P]) where P is the parabolic subgroup P_…

math.RT2024

The Affine Closure of T^*(SL_n/U)

Boming Jia

We show that the affine closure of T^*(SL_n/U) has symplectic singularities, in the sense of Beauville. In the special case n=3, we show that the affine closure of T^*(SL_3/U) is i…