Daniel Stern

activity

20142023

z > 5.6

Quasar Survey: III. The

z \approx 6

Quasar Luminosity Function

40 citations · 67 across the 16 of their papers we have counts for

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Showing 2022 · math.DGShow all

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math.DG2022

Existence of harmonic maps and eigenvalue optimization in higher dimensions

Mikhail Karpukhin, Daniel Stern

We prove the existence of nonconstant harmonic maps of optimal regularity from an arbitrary closed manifold $(M^{n}, g)$ of dimension $n > 2$ to any closed, non-aspherical manifold $N$ …

math.DG2022

Quantization and non-quantization of energy for higher-dimensional Ginzburg-Landau vortices

Alessandro Pigati, Daniel Stern

Given a family of critical points $u_{ε} : M^{n} \to C$ for the complex Ginzburg--Landau energies \begin{align*} &E_ε(u)=\int_{M}\left(\frac{|du|^2}{2}+\frac{(1-|u|^2)^2}{4ε^2}\ri…