activity
20132026
most citedGalois self-dual cuspidal types and Asai local factors

9 citations · 23 across the 17 of their papers we have counts for

collaborators

20 papers

math.RT2026

Langlands-Shahidi gamma factors and local transfer in families

Johannes Girsch, Robert Kurinczuk

Let be a quasi-split -adic group, defined over a non-archimedean local field of residue cardinality , and be a -algebra. We g…

math.RT2026

Cuspidal -modular representations of distinguished by a Galois involution, II

Robert Kurinczuk, Nadir Matringe, Vincent Sécherre

Let be a quadratic extension of non-Archimedean locally compact fields with residual characteristic , and be a prime number different from . We classify t…

math.RT2026

Cuspidal endo-support and strong beta extensions

David Helm, Robert Kurinczuk, Daniel Skodlerack +1

Let be an inner form of a general linear group or classical group over a non-archimedean local field of residual characteristic , assumed odd in the classical case. We prove…

math.RT2026

Godement-Jacquet gamma factors of distinguished representations of

Robert Kurinczuk, Nadir Matringe, Vincent Sécherre

Let be a finite field of characteristic . In the 1960s, Kondo attached non-abelian Gauss sums to irreducible -representations of , and computed…

math.NT2025

Newforms in Cuspidal Representations

Johannes Girsch, Robert Kurinczuk

We consider newform vectors in cuspidal representations of -adic general linear groups. We extend the theory from the complex setting to include~-modular representations w…

math.RT2024

Local Langlands in families: The banal case

Jean-François Dat, David Helm, Robert Kurinczuk +1

We state a conjecture, local Langlands in families, connecting the centre of the category of smooth representations on -modules of a quasi-split -adic…

math.RT2024

Block decompositions for -adic classical groups and their inner forms

David Helm, Robert Kurinczuk, Daniel Skodlerack +1

For an inner form of a general linear group or classical group over a non-archimedean local field of odd residue characteristic, we decompose the category of smooth re…

math.RT2023

Cuspidal -modular representations of distinguished by a Galois involution

Robert Kurinczuk, Nadir Matringe, Vincent Sécherre

Let be a quadratic extension of non-Archimedean locally compact fields of residual characteristic with Galois automorphism , and let be an algebraically clo…

math.RT2022

Finiteness for Hecke algebras of -adic groups

Jean-Francois Dat, David Helm, Robert Kurinczuk +1

Let be a reductive group over a non-archimedean local field of residue characteristic . We prove that the Hecke algebras of with coefficients in a ${\mathbb Z}_{\…

math.NT2020★ 7 cited

Moduli of Langlands Parameters

Jean-François Dat, David Helm, Robert Kurinczuk +1

Let be a nonarchimedean local field of residue characteristic , let be a split reductive group over with an action of , and let denote…

math.RT2019

A characterization of the relation between two -modular correspondences

Robert Kurinczuk, Nadir Matringe

Let be a non archimedean local field of residual characteristic and a prime number different from . Let denote Vignéras' -modular local Langlan…

math.RT2019

Characterisation of the poles of the -modular Asai -factor

Robert Kurinczuk, Nadir Matringe

Let be a quadratic extension of non-archimedean local fields, and let be a prime number different from the residual characteristic of . For a complex cuspidal repre…

math.RT2018★ 9 cited

Galois self-dual cuspidal types and Asai local factors

U. K. Anandavardhanan, Robert Kurinczuk, Nadir Matringe +2

Let be a quadratic extension of non-archimedean locally compact fields of odd residual characteristic and be its non-trivial automorphism. We show that any $…

math.RT2018★ 2 cited

The -modular local Langlands correspondence and local factors

Robert Kurinczuk, Nadir Matringe

Let be a non-archimedean local field of residual characteristic , be a prime number, and the Weil group of . We classify the indecomposable $\…

math.RT2017

Extension of Whittaker functions and test vectors

Robert Kurinczuk, Nadir Matringe

We show that certain products of Whittaker functions and Schwartz functions on a general linear group extend to Whittaker functions on a larger general linear group. This generaliz…

math.RT2016

Endo-parameters for p-adic classical groups

Robert Kurinczuk, Daniel Skodlerack, Shaun Stevens

For a classical group over a non-archimedean local field of odd residual characteristic p, we prove that two cuspidal types, defined over an algebraically closed field C of charact…

math.RT2015

Cuspidal -modular representations of -adic classical groups

Robert Kurinczuk, Shaun Stevens

For a classical group over a non-archimedean local field of odd residual characteristic p, we construct all cuspidal representations over an arbitrary algebraically closed field of…

math.RT2015★ 1 cited

Test vectors for local cuspidal Rankin-Selberg integrals of GL(n), and reduction modulo

Robert Kurinczuk, Nadir Matringe

Let be a pair of cuspidal complex, or -adic, representations of the general linear group of rank over a non-archimedean local field of residual characterist…

math.RT2014★ 3 cited

Rankin-Selberg local factors modulo

Robert Kurinczuk, Nadir Matringe

After extending the theory of Rankin-Selberg local factors to pairs of -modular representations of Whittaker type, of general linear groups over a non-archimedean local field…

math.RT2013★ 1 cited

l-modular representations of unramified p-adic U(2,1)

Robert Kurinczuk

We construct all cuspidal l-modular representations of a unitary group in three variables attached to an unramified extension of local fields of odd residual characteristic p with…