Ting-Jung Kuo

collaborators

3 papers

math.DG2026

Componentwise Geometry and Monodromy of Generalized Lamé Equations

Ting-Jung Kuo, Xuanpu Liang

We develop a componentwise geometric and monodromy theory for the generalized Lamé equation on an elliptic curve with singularities at $0$ and $\pm p$ . Its log-free locus decompose…

math.DG2025

Even Cone Spherical Metrics: Blow-Up at a Cone Singularity

Ting-Jung Kuo, Xuanpu Liang, Ping-Hsiang Wu

We study families of spherical metrics on the flat torus $E_{I ¨} $ $=$ $C / I^_{I ¨} $ with blow-up behavior at prescribed conical singularities at $0$ and $\pm p$ , where the cone…

math.CA2025

Ting-Jung Kuo, Xuanpu Liang, Ping-Hsiang Wu

Motivated by the finite-gap structure of the classical LamÃ© equation (1.2) and its central role in mathematical physics, generalized LamÃ©-type equations (1.12) are investigated.…

Componentwise Geometry and Monodromy of Generalized Lamé Equations

Even Cone Spherical Metrics: Blow-Up at a Cone Singularity

Monodromy Equivalence for LamÃ©-type Equations I: Finite-gap Structures and Cone Spherical Metrics