Jonas Henkel

collaborators

5 papers

math.DG2026

The Laplace-Beltrami spectrum on Naturally Reductive Homogeneous Spaces

Ilka Agricola, Jonas Henkel

We prove a formula for the spectrum of the Laplace-Beltrami operator on functions for compact naturally reductive homogeneous spaces in terms of eigenvalues of a generalized Casimi…

math.DG2026

Explicit Laplace Spectra of Homogeneous Principal Bundles

Ilka Agricola, Leandro Cagliero, Jonas Henkel

We present a unified representation-theoretic method to compute the Laplace-Beltrami spectrum on homogeneous principal bundles. For this setting, we introduce a multi-parameter fam…

math.DG2026

Hodge Laplacian on $1$ -forms of homogeneous $3$ -spheres

Jonas Henkel, Emilio A. Lauret

We study the spectrum of the Hodge-Laplacian on $1$ -forms for left-invariant metrics on the Lie group $SU (2) ≅ S^{3}$ and its quotient $\operatorname{SO}(3)\cong P…

cs.LG2026

A Machine Learning Approach to the Nirenberg Problem

This work introduces the Nirenberg Neural Network: a numerical approach to the Nirenberg problem of prescribing Gaussian curvature on $S^{2}$ for metrics that are pointwise conformal…

math.HO2025

The Mathematician's Assistant: Integrating AI into Research Practice

Jonas Henkel

The rapid development of artificial intelligence (AI), marked by breakthroughs like 'AlphaEvolve' and 'Gemini Deep Think', is beginning to offer powerful new tools that have the po…

The Laplace-Beltrami spectrum on Naturally Reductive Homogeneous Spaces

Explicit Laplace Spectra of Homogeneous Principal Bundles

Hodge Laplacian on 1-forms of homogeneous 3-spheres

A Machine Learning Approach to the Nirenberg Problem

The Mathematician's Assistant: Integrating AI into Research Practice

Hodge Laplacian on $1$ -forms of homogeneous $3$ -spheres