Taiwang Deng

activity

20162026

most citedParabolic Induction and Geometry of Orbital Varieties for GL(n)

4 citations · 5 across the 14 of their papers we have counts for

collaborators

14 papers

math.NT2026

Euler Characteristics of $SL_{4} (Z)$ and $GL_{4} (Z)$ , and their cohomological consequences

Jitendra Bajpai, Taiwang Deng

We compute the homological Euler characteristics of $SL_{4} (Z)$ and $GL_{4} (Z)$ with coefficients in arbitrary irreducible rational highest-weight r…

math.NT2026

Yun's zeta function and the overorder zeta function for Gorenstein cubic orders

Taiwang Deng, Malors Espinosa

For every Gorenstein cubic $Z$ -order, we prove an identity equating Yun's zeta function, defined by counting finite-index submodules of the trace dual, with the explicit ov…

math.NT2026

A trace formula derivation of the functional equation for symmetric square L-functions

Taiwang Deng, Dongsheng Wu

This paper revisits the functional equation of the symmetric-square $L$ -function from the perspective of trace formulas. We show that, for level-one holomorphic cusp forms and even…

math.RT2026

A degenerate Whittaker criterion for $G L_{2 n}$

Taiwang Deng

Let $F$ be a non-Archimedean local field. Let $N$ be the unipotent radical of the standard parabolic subgroup of $G L_{2 n} (F)$ of type $(n, n)$ with fixed nondegenerate addit…

math.RT2026

Stability of the exterior cube $γ$ -factors for $GL (6)$

Taiwang Deng, Dongming She

We prove the stability of the Langlands-Shahidi local $γ$ -factor for the exterior cube representation of $GL_{6}$ . More precisely, if $π_{1}$ and $π_{2}$ are irreducible admissi…

math.RT2026

Relating Arthur packets of real unitary groups and $p$ -adic symplectic and orthogonal groups

Taiwang Deng, Chang Huang, Bin Xu +1

We establish an explicit correspondence of certain Arthur packets between real unitary groups and $p$ -adic symplectic or orthogonal groups. This allows one to compute Arthur packet…

math.NT2026

Beyond Endoscopy for $GL (3, Q)$ : Isolation of the residual spectrum via Poisson Summation

Taiwang Deng, Malors Espinos

We extend to $GL (3, Q)$ the Poisson-summation method developed by Altuğ for $GL (2, Q)$ in Beyond Endoscopy. For a fixed prime and a family of factor…

math.RT2023

Stability of Rankin-Selberg local $γ$ -factors for split classical groups: the symplectic case

Taiwang Deng, Dongming She

Given a split classical group of symplectic type and a split general linear group over a local field $F$ , we use Langlands-Shahidi method to construct their Rankin-Selberg local $γ…

math.NT2021

Poisson summation for Hankel transforms

Taiwang Deng

In this article we study the Poisson summation for Hankel transform in the sense of Braverman-Kazhdan-Ngo in the special case of $L$ -embedding $ρ : G L_{1} \to G L_{2}$ . We view su…

math.NT2021★ 1 cited

On generalization of a theorem of Harish-Chandra

Taiwang Deng

In this paper under some conditions we generalize a theorem of Harish-Chandra concerning representability of Fourier transforms of orbital integrals.

math.RT2020

The characteristic cycles and semi-canonical bases on type $A$ quiver variety

Taiwang Deng, Bin Xu

In this article we study a conjecture of Geiss-Leclerc-Schr{ö}er, which is an analogue of a classical conjecture of Lusztig in the Weyl group case. It concerns the relation between…

math.NT2019

Torsions in Cohomology of $SL_{2} (Z)$ and Congruence of Modular Forms

Taiwang Deng

We describe torsion classes in the first cohomology group of $SL_{2} (Z)$ . In particular, we obtain generalized Dickson's invariants for p-power polynomial rings. Seco…

math.RT2019

Symmetrization of representations of $G L_{N}$

Taiwang Deng

In this article, we develop a process to symmetrize the irreducible admissible representation of $G L_{N} (Q_{p})$ , as a consequence we obtain a more geometric understanding of…

math.RT2016★ 4 cited

Parabolic Induction and Geometry of Orbital Varieties for GL(n)

Taiwang Deng

Ariki and Ginzburg, after the previous work of Zelevinsky on orbital varieties, proved that multiplicities in a total parabolically induced representations are given by the value a…

Euler Characteristics of SL4​(Z) and GL4​(Z), and their cohomological consequences

Yun's zeta function and the overorder zeta function for Gorenstein cubic orders

A trace formula derivation of the functional equation for symmetric square L-functions

A degenerate Whittaker criterion for GL2n​

Stability of the exterior cube γ-factors for GL(6)

Relating Arthur packets of real unitary groups and p-adic symplectic and orthogonal groups

Beyond Endoscopy for GL(3,Q): Isolation of the residual spectrum via Poisson Summation

Stability of Rankin-Selberg local γ-factors for split classical groups: the symplectic case

Poisson summation for Hankel transforms

On generalization of a theorem of Harish-Chandra

The characteristic cycles and semi-canonical bases on type A quiver variety

Torsions in Cohomology of SL2​(Z) and Congruence of Modular Forms

Symmetrization of representations of GLN​

Parabolic Induction and Geometry of Orbital Varieties for GL(n)

Euler Characteristics of $SL_{4} (Z)$ and $GL_{4} (Z)$ , and their cohomological consequences

A degenerate Whittaker criterion for $G L_{2 n}$

Stability of the exterior cube $γ$ -factors for $GL (6)$

Relating Arthur packets of real unitary groups and $p$ -adic symplectic and orthogonal groups

Beyond Endoscopy for $GL (3, Q)$ : Isolation of the residual spectrum via Poisson Summation

Stability of Rankin-Selberg local $γ$ -factors for split classical groups: the symplectic case

The characteristic cycles and semi-canonical bases on type $A$ quiver variety

Torsions in Cohomology of $SL_{2} (Z)$ and Congruence of Modular Forms

Symmetrization of representations of $G L_{N}$