T. Deng

collaborators

3 papers

math.NT2026

Distributions of Integral Points and Dedekind Zeta Values

Li Cai, Taiwang Deng

Let $O$ be the ring of integers for some number field $F$ . Let $I ¨ (x) \in O [x]$ be a regular monic polynomial of degree $n$ . We study the asymptotic count of int…

math.RT2026

On a geometric comparison of representations of complex and $p$ -adic $GL_{n}$

Taiwang Deng, Chang Huang, Bin Xu +1

In this paper, we use geometric methods to study the relations between admissible representations of $GL_{n} (C)$ and unramified representations of $\mathbf{GL}_m(\m…

math.AG2025

Purity of generalized affine Springer fibers from generic planar curve singularities

Taiwang Deng, Tao Su

We prove the cohomological purity of punctual Hilbert schemes of points on generic irreducible planar curve singularities, by constructing an explicit affine paving. Via their iden…

Distributions of Integral Points and Dedekind Zeta Values

On a geometric comparison of representations of complex and p-adic GLn​

Purity of generalized affine Springer fibers from generic planar curve singularities

On a geometric comparison of representations of complex and $p$ -adic $GL_{n}$