Scholarly and Creative Works
2025
- Cho, G. (2025). Probabilistic Method to Fundamental Gap Problems on the Sphere. Transactions of the American Mathematical Society, 9285. https://doi.org/10.1090/tran/9285
- Cho, G. (2025). Non Measure-Hyperbolicity of K3 Surfaces and Hilbert Scheme of Points of K3 Surface. Complex Analysis and Its Synergies, 11(26), 26. https://doi.org/10.1007/s40627-025-00174-0
- Cho, G. (2025). Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound. Differential Geometry and Its Applications. https://doi.org/10.1016/j.difgeo.2024.102218
2023
- Cho, G. (2023). The stochastic Schwarz lemma on Kahler manifolds by couplings and its applications. Journal of the London Mathematical Society. https://doi.org/10.1112/jlms.12849
- Cho, G. (2023). Equivalence of invariant metrics via Bergman kernel on complete noncompact Kahler manifolds. Mathematische Annalen.
- Cho, G. (2023). Non-existence of complete Kahler metric of negatively pinched holomorphic sectional curvature. Complex Analysis and Its Synergies.
- Cho, G. (2023). Vanishing results from Lichnerowicz Laplacian on complete Kahler manifolds and applications. Journal of Mathematical Anal- Ysis and Applications. https://doi.org/10.1016/j.jmaa.2022.126602
2022
- Cho, G. (2022). Sub-Riemannian Geodesics on SL(2,R). ESAIM:Control, Optimisation and Calculus of Variations. https://doi.org/10.1051/cocv/2022068
- Cho, G. (2022). Bergman metric on the symmetrized bidisc and its consequences. International Journal of Mathematics. https://doi.org/10.1142/S0129167X22500719
- Cho, G. (2022). A note on first eigenvalue estimates by coupling methods in Kahler and quaternionic Kahler manifolds. Electronic Communications in Probability. https://doi.org/10.1214/22-ECP452
- Cho, G. (2022). Comparing the Caratheodory pseudo-distance and the Kahler–Einstein distance on complete Reinhardt domains,. Asian Journal of Mathematics. https://doi.org/10.4310/AJM.2022.v26.n1.a2
- Cho, G. (2022). Octonionic Brownian Windings. Journal of Theoretical Probability. https://doi.org/10.1007/s10959-021-01127-z
2021
- Cho, G. (2021). The subelliptic heat kernel of octonionic anti-de Sitter fibration. SIGMA: Symmetry, Integrability and Geometry: Methods and Applications. https://doi.org/10.3842/SIGMA.2021.014
2020
- Cho, G. (2020). The subelliptic heat kernel on the octonionic Hopf fibration. Potential Analysis. https://doi.org/10.1007/s11118-020-09854-4
- Cho, G. (2020). The Kobayashi–Royden metric on punctured spheres. Forum Mathematicum. https://doi.org/10.1515/forum-2019-0297
2019
- Cho, G. (2019). Invariant metrics on the complex ellipsoid. Journal of Geometric Analysis. https://doi.org/10.1007/s12220-019-00333-w