T. Deng

collaborators

5 papers

math.NT2025

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 $χ (x) \in O [x]$ be a regular monic polynomial of degree $n$ . We study the asymptotic count of inte…

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…

math.RT2025

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.RT2024

A geometric study of BZ operator on representations of $GL_{n}$ over non-archimedean field

Taiwang Deng

In this article, we geometrically study the partial Bernstein-Zelevinsky operator introduced in the author's thesis, which generalizes the original Bernstein-Zelevinsky operator. W…

math.RT2024

Some geometric consequences of the symmetric reduction

Taiwang Deng

In this article, we derived some consequences to the symmetrization process developed in \cite{Deng23}. This consists a geometric derivation of part of the properties which uniquel…

Distributions of Integral Points and Dedekind Zeta Values

Purity of generalized affine Springer fibers from generic planar curve singularities

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

A geometric study of BZ operator on representations of GLn​ over non-archimedean field

Some geometric consequences of the symmetric reduction

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

A geometric study of BZ operator on representations of $GL_{n}$ over non-archimedean field