K. Eum

activity

20242026

collaborators

6 papers

math.CV2026

Large deviation principle for determinantal point processes on Stein manifolds

Kiyoon Eum

In this paper, we study natural determinantal point processes on Stein manifolds defined by canonical sections and plurisubharmonic weight functions. We present a natural condition…

math-ph2026

Moore--Read construction and explicit monodromies of Laughlin states on Riemann surfaces

Kiyoon Eum

We revisit the Moore--Read construction of the $ν = 1/ k$ Laughlin states on compact Riemann surfaces, deriving their conformal blocks from $U (1)_{k}$ Chern--Simons theory through the C…

math.DG2025

Asymptotic expansion of the variation of the Quillen metric and its moment map interpretation

Kiyoon Eum

In Kähler geometry, the Donaldson--Fujiki moment map picture interprets the scalar curvature of a Kähler metric as a moment map on the space of compatible almost complex structures…

math.DG2025

Partition functions of determinantal point processes on polarized Kähler manifolds

Kiyoon Eum

In this paper, we study the full asymptotic expansion of the partition functions of determinantal point processes defined on a polarized Kähler manifold. We show that the coefficie…

math.CV2024

Limiting behavior of determinantal point processes associated with weighted Bergman kernels

Kiyoon Eum

Let $Ω$ be a bounded pseudoconvex domain in $C^{n}$ , and let $ϕ$ be a strictly plurisubharmonic function on $Ω$ . For each $k \in N$ , we consider determinantal point p…

math.CV2024

Approximation of plurisubharmonic functions by logarithms of Gaussian analytic functions

Kiyoon Eum

Let $Ω$ be a bounded pseudoconvex domain in $C^{N}$ , and let $u$ be a continuous plurisubharmonic function on $Ω$ . We construct a sequence of Gaussian analytic functions $f_…