Preprint

1. (with Yoshiaki Suzuki) Joint spectrum of the sub-Laplacian and the Reeb vector field on three-dimensional Heisenberg Bieberbach manifolds, preprint. [arXiv:2608.03265]

2. (with Pak Tung Ho) Non-embeddable torus and CR Paneitz operator, preprint. [arXiv:2606.24508]

3. (with Jeffrey S. Case) Non-homothetic complete periodic contact forms with constant Tanaka-Webster scalar curvature, preprint. [arXiv:2602.03241]

4. CR Paneitz operator on non-embeddable CR manifolds, preprint. [arXiv:2407.16185]

Papers

1. CR Paneitz operator and embeddability, Complex Anal. Synerg., 11, 12 (2025). [article link] [arXiv:2506.19215]

2. (with Chanyoung Sung) The CR Yamabe constant and inequivalent CR structures, Pacific J. Math., 335 (2025), No. 1, 163–182. [article link] [arXiv:2210.16443]

3. Formulae of some global CR invariants for Sasakian η-Einstein manifolds, Commun. Anal. Geom., 32 (2024) No. 3, 667–692. [article link] [arXiv:2003.10779]

4. Kohn-Rossi cohomology of spherical CR manifolds, Ann. Global Anal. Geom., 65, 22, (2024). [article link] [arXiv:2309.02696]

5. Analysis of the critical CR GJMS operator, Amer. J. Math., 145 (2023), No. 6, 1923–1940. [article link] [arXiv:2009.13813]

6. Generalizations of the Q-prime curvature via renormalized characteristic forms, Adv. Math., 422 (2023), 109023. [article link] [arXiv:2210.05855]

7. (with Jeffrey S. Case) I'-curvatures in higher dimensions and the Hirachi conjecture, J. Math. Soc. Japan, 75 (2023), No. 1, 291–328. [article link] [arXiv:2003.08201]

8. CR Q-curvature and CR pluriharmonic functions, J. Geom. Anal., 32, 185 (2022). [article link] [arXiv:2109.09962]

9. Chern classes of spherical CR manifolds,  Ann. Sc. Norm. Super. Pisa Cl. Sci., 23 (2022), No. 1, 1–13. [article link] [arXiv:2006.08919]

10. Nonnegativity of the CR Paneitz operator for embeddable CR manifolds, Duke Math. J., 169 (2020), No. 18, 3417–3438. [article link] [arXiv:1908.07672]

11. A constraint on Chern classes of strictly pseudoconvex CR manifolds, SIGMA, 16 (2020), 005, 5 pages. [article link] [arXiv:1808.02209]

12. On the second variation of the Graham-Witten energy, Proc. Amer. Math. Soc., 148 (2020), 393–402. [article link] [arXiv:1807.06307]

13. Stability of the existence of a pseudo-Einstein contact form, Pacific J. Math., 303 (2019), No. 2, 757–765. [article link] [arXiv:1811.02150]

14. On the renormalized volume of tubes over polarized Kähler-Einstein manifolds, J. Geom. Anal., 29 (2019), 134–141. [article link] [arXiv:1708.04376]

15. Ambient constructions for Sasakian η-Einstein manifolds, Adv. Math., 328 (2018), 82–111. [article link] [arXiv:1706.03164]

16. Q-prime curvature and scattering theory on strictly pseudoconvex domains, Math. Res. Lett., 24 (2017), No. 5, 1523–1554. [article link] [arXiv:1601.02419]