Papers and preprints 

The arXiv version may be slightly outdated.

17. Joint with F. Bianchi, Manhattan curves in complex dynamics and asymptotic correlation of multiplier spectra. [arXiv:2508.12490]

16. Joint with F. Bianchi, Analyticity of the Hausdorff dimension and metric structures on Misiurewicz families of polynomials. [arXiv:2508.12493]

15. Joint with H. Lee and I. Park, Complex analytic theory on the space of Blaschke products: Simultaneous

uniformization and the pressure metric. [arXiv:2507.17077]

14. Joint with C. Wu, Basmajian-type identities over non-Archimedean local fields. [arXiv:2212.09992]

13. Joint with F. Bianchi, Pressure path metrics for parabolic families of polynomials. [arXiv:2409.10462]

12. Joint with C. Wu, Relative train tracks and generalized endperiodic graph maps. [arXiv:2408.13401] 

11. Joint with H. Lee and I. Park, Pressure metrics in geometry and dynamics. To appear Shishikura Proceedings. [arXiv:2407.18441]

10. Joint with H. Nie, On a metric view of the polynomial shift locus. [arXiv: 2311.11399]

9. Joint with F. Bianchi,  A Mañé-Manning formula for expanding measures for endomorphisms of P^k.  Trans. Amer. Math. Soc. 377 (2024), no. 11, 8179–8219. [arXiv:2308.03013]

8. Joint with L. Chen, Non-realizability of some big mapping class groups. Proc. AMS 152 (2024), 4503-4514. [arXiv:2111.08583]

7. Joint with H. Nie, Quantitative equidistribution of angles of multipliers.  Fund. Math. 257 (2022), no. 1,95–113. [pdf]

6. Joint with C. Wolf, Entropy spectrum of rotation classes.  J. Math. Anal. Appl. 508 (2022), no. 1, 12 pp. [pdf] 

5. Joint with H. Nie, A Riemannian metric on hyperbolic components. Math. Res. Lett. 30 (2023), no. 3, 733–764. [pdf]

4. Identities for hyperconvex Anosov representations. J. Topol. Anal.  16 (2024), no. 4, 617-640. [pdf]

3. Prime number theorems for Basmajian-type identities. [pdf | arXiv: 1811.05367]

2. On the displacement of generators of free Fuchsian groups. Geometriae Dedicata, 200 (2019), 255-264. [pdf]

1. Basmajian-type identities and Hausdorff dimension of limit sets. Ergodic Theory and Dynamical Systems, 38 (2018), 2224-2244. [pdf]

Not for publication

I passed my Topic Exam in March 2014 and here is my topic proposal.