Structural Invariance of Green–Griffiths–Demailly Thresholds on Compact Complex Orbifolds (with M. Cho), {arXiv}, 24 pp.
Non Measure-Hyperbolicity of K3 Surfaces and Hilbert Schemes of Points on K3 Surfaces (with D. R. Morrison), {arXiv}, Complex Analysis and its Synergies, 10.1007/s40627-025-00174-0, 11 (2025), Article 26. [Presentation note from the Texas State University Topology Seminar, September 27, 2024].
Deformation of a Hyperbolic Embedding into the Projective Toric Variety (with J. Yoo), {arXiv}, 30 pp., revising.
Equivalence of Invariant Metrics via Bergman Kernel on Complete Noncompact Kähler Manifolds (with K. Lee), Mathematische Annalen, 10.1007/s00208-023-02735-2 389 (2024), no. 4, pp. 3809–3839.
Non-existence of Complete Kähler Metrics of Negatively Pinched Holomorphic Sectional Curvature, Complex Analysis and its Synergies, 10.1007/s40627-023-00119-5, 9 (2023), no. 2, Paper No. 9, 6 pp.
Bergman Metric on the Symmetrized Bidisc and Its Consequences (with Y. Yuan), International Journal of Mathematics, 10.1142/S0129167X22500719, 33 (2022), no. 10–11, Paper No. 2250071, 16 pp.
Comparing the Carathéodory Pseudo-Distance and the Kähler–Einstein Distance on Complete Reinhardt Domains, Asian Journal of Mathematics, 10.4310/AJM.2022.v26.n1.a2, 26 (2022), no. 1, 7 pp.
The Kobayashi–Royden Metric on Punctured Spheres (with J. Qian), Forum Mathematicum, 10.1515/forum-2019-0297, 32 (2020), no. 4, 7 pp.
Invariant Metrics on the Complex Ellipsoid, Journal of Geometric Analysis, 10.1007/s12220-019-00333-w, 31 (2021), no. 2, 16 pp.
A Tutorial on Bregman Projection in Statistics, (with Jae Kwang Kim, and Yumou Qiu) arXiv:2606.21714 (submitted June 19, 2026).
Deterministic–Distance Couplings of Brownian Motions on Radially Isoparametric Manifolds (with H.-C. Jang and T. Kim), {arXiv}, 21 pp.
Statistical Bergman Geometry (with J. Yum), {arXiv}, 41 pp. (submitted).
Probabilistic Method to Fundamental Gap Problems on the Sphere (with G. Wei and G. Yang), {arXiv}, Transactions of the American Mathematical Society, 10.1090/tran/9285, 378 (2025), pp. 317–337, 21 pp.
The Stochastic Schwarz Lemma on Kähler Manifolds by Couplings and Its Applications (with M. Chae, M. Gordina, and G. Yang), Journal of the London Mathematical Society, 10.1112/jlms.12849 109 (2024), no. 1, Article e12849, 22 pp.
A Note on First Eigenvalue Estimates by Coupling Methods in Kähler and Quaternionic Kähler Manifolds (with F. Baudoin and G. Yang), Electronic Communications in Probability, 10.1214/22-ECP452, 27 (2022), Paper No. 12, 8 pp.
Octonionic Brownian Windings (with G. Yang), Journal of Theoretical Probability, 10.1007/s10959-021-01127-z, 35 (2022), no. 3, 17 pp.
Sharp Lower Bounds for the First Eigenvalue of Steklov-Type Eigenvalue Problems on a Compact Surface (with K. Seo), {arXiv}, 13 pp.; Boundary Value Problems (published online July 22, 2026), 10.1186/s13661-026-02331-8.
Sharp Weighted CR Trace Sobolev Inequalities (with Z. Yan), {arXiv}, 25 pp.
Rigidity Results with Curvature Conditions from Lichnerowicz Laplacian and Applications (with Nguyen Thac Dung and Tran Quang Huy), {arXiv}, 26 pp.
Diameter Theorems on Kähler and Quaternionic Kähler Manifolds under a Positive Curvature Lower Bound (with M. Gordina), {arXiv}, 22 pp.; Differential Geometry and Its Applications, 98 (2025), Article 102218, 10.1016/j.difgeo.2024.102218.
Vanishing Results from Lichnerowicz Laplacian on Complete Kähler Manifolds and Applications (with Nguyen Thac Dung), Journal of Mathematical Analysis and Applications, 10.1016/j.jmaa.2022.126602, 517 (2023), no. 1, Paper No. 126602, 15 pp.
Sub-Riemannian Geodesics on SL(2,R) (with Domenico D’Alessandro), ESAIM: Control, Optimisation and Calculus of Variations, 10.1051/cocv/2022068, 28 (2022), Paper No. 76, 30 pp.
The Subelliptic Heat Kernel of Octonionic Anti-de Sitter Fibration (with F. Baudoin), SIGMA: Symmetry, Integrability and Geometry: Methods and Applications, 10.3842/SIGMA.2021.014, 17 (2021), Paper No. 014, 9 pp.
The Subelliptic Heat Kernel on the Octonionic Hopf Fibration (with F. Baudoin), Potential Analysis, 10.1007/s11118-020-09854-4, 55 (2021), no. 2, 17 pp.
Curvature-Aware Optimization of Noisy Variational Quantum Circuits via Weighted Projective Line Geometry, arXiv:2512.00681, 38 pp.
Weighted Projective Line ZX Calculus: Quantized Orbifold Geometry for Quantum Compilation, arXiv:2512.00682, 41 pp.
Support-Projected Petz Monotone Geometry of Two-Qubit Families: Three-Channel Identity and Non-Reduction of Curvatures, arXiv:2509.14578, 40 pp.
(Second author) Development of a High-Speed Impedance Measurement System for Dual-Frequency Capacitive-Coupled Pulsed Plasma (with H. Lee et al.), Review of Scientific Instruments, 10.1063/1.4928121, 86 (2015), no. 8, 083505.