Aaron Slipper

activity

20242026

collaborators

7 papers

quant-ph2026

Bosonic codes from compact phase spaces

David Roberts, Aaron Slipper, Alireza Parhizkar +2

We present the algebraic structure of bosonic quantum error-correcting codes on genus-two Riemann surfaces. We explicitly construct the code words as automorphic forms and analytic…

math.RT2026

Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties

Nikolay Grantcharov, Aaron Slipper

We show that Braverman--Kazhdan normalized intertwiners for $S L_{n} (C)$ have a quasi-classical incarnation governed by type $A$ quiver varieties. More precisely, for standar…

math.RT2026

Geometrization of the Schrödinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham Setting

Aaron Slipper

We construct and compare three $D$ -module models for the minimal representation of the conformal group of an even-dimensional quadratic space. Let $V$ be a quadratic space over a f…

math.NT2025

The $ρ$ -Fourier transform

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +4

Let $G$ be a reductive group over a local field $F$ and let $ρ :^{L} G \to GL_{V_{ρ}} (C)$ be a representation of its $L$ -group satisfying suitable assumptions. Braver…

math.NT2025

Modulation groups

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +6

Conjectures of Braverman and Kazhdan, Ngô and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumptio…

math.AG2025

Logarithmic Geometry and Geometric Class Field Theory

Aaron Slipper

We demonstrate an application of logarithmic geometry in the context of geometric Langlands, by providing a logarithmic upgrade of Deligne's geometric class field theory for tamely…

math.RT2024

Parabolic Kazhdan-Laumon and the Kloosterman Fourier Transform for Quadric Cones

Aaron Slipper

Let $G$ be a split reductive group over $F_{q}$ , and let $M$ be a standard Levi subgroup of $G$ . Let $P a r_{M} (G)$ denote the set of parabolic subgroups of $G$ with Levi factor $M$ . For…

Bosonic codes from compact phase spaces

Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties

Geometrization of the Schrödinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham Setting

The ρ-Fourier transform

Modulation groups

Logarithmic Geometry and Geometric Class Field Theory

Parabolic Kazhdan-Laumon and the Kloosterman Fourier Transform for Quadric Cones

The $ρ$ -Fourier transform