Research

Published papers

1. Joint with Richard Canary and Andrew Zimmer, "Entropy rigidity for cusped Hitchin representations" Journal of Topology 19 (2026), e70064.

2. Joint with Zhe Sun, ''The Goldman symplectic form on the PGL(V)-Hitchin component'' Memoirs
   of the American Mathematical Society 312 (2025), Number 1585.

3. Joint with Richard Canary and Andrew Zimmer, "Patterson-Sullivan measures for relatively Anosov subgroups" Mathematische Annalen 392 (2025), 2309-2363.

4. Joint with Andrew Zimmer, "Regularity of limit sets of Anosov representations" Journal of Topology 17 (2024), e12355.

5. Joint with Richard Canary and Andrew Zimmer, "Patterson-Sullivan measures for transverse subgroups" Journal of Modern Dynamics 20 (2024), 319-377.

6. Joint with Gye-Seon Lee, "Cusped Borel Anosov representations with positivity" Geometriae Dedicata 218 (2024), Article 54 (Francois Labourie’s 60th birthday special edition). 

7. Joint with Sungwoon Kim and Ser Peow Tan, "Weakly positive and directed Anosov representations" Advances in Mathematics 408 (2022), 108611.

8. Joint with Richard Canary and Andrew Zimmer, "Cusped Hitchin representations and Anosov representations of geometrically finite Fuchsian groups" Advances in Mathematics 404 (2022), 108439.

9. Joint with John Loftin, "Coordinates on the augmented moduli space of convex RP^2 structures" Journal of the London Mathematical Society 104 (2021), 1930-1972.

10. Joint with Anna Wienhard and Zhe Sun, ''Flows on the PGL(V)-Hitchin component'' Geometric and Functional Analysis 30 (2020), 588-692.

11. Joint with Jeffrey Danciger, "Affine actions with Hitchin linear part" Geometric and Functional Analysis 29 (2019), 1369-1439.

12. Joint with Giuseppe Martone, "Positively ratioed representations" Commentarii Mathematici Helvetici 94 (2019), 273-345.

13. Joint with Anna Wienhard, "Deforming convex real projective structures" Geometriae Dedicata 192 (2018), 327-360. (Bill Goldman’s 60th birthday special edition). 

14. Joint with Gye-Seon Lee, "Collar lemma for Hitchin representations" Geometry & Topology 21 (2017), 2243-2280.

15. "Degeneration of Hitchin representations along internal sequences" Geometric and Functional Analysis 25 (2015), No. 5, 1588-1645.

16. "The degeneration of convex RP^2 structures on surfaces" Proceedings of the London Mathematical Society 111 (2015), Issue 5, 967-1012.

17. "Geometry of the Hitchin component" PhD thesis (2015).

Preprints

1. Joint with Xenia Flamm, Nicolas Tholozan, and Tianqi Wang, "Θ-positive representations over real closed fields" arXiv:2601.05102, preprint (2026).

2. Joint with Richard Canary and Andrew Zimmer, "A rigidity theorem for complex Kleinian groups" arXiv:2511.20949, preprint (2025), to appear in International Mathematics Research Notices.

3. Joint with Sara Maloni, Giuseppe Martone, and Filippo Mazzoli, "Topology of the space of d-pleated surfaces" arXiv:2508.04813, preprint (2025).

4. Joint with Richard Canary and Andrew Zimmer, "Geometry and dynamics of transverse groups" arXiv:2502.07271, preprint (2025), to appear in Advanced Studies in Pure Mathematics. 

5. Joint with Sara Maloni, Giuseppe Martone, and Filippo Mazzoli, "d-pleated surfaces and their shear-bend coordinates" arXiv:2305.11780, preprint (2023), to appear in Proceedings of the London Mathematical Society.

Expository articles

1. Introduction to Lie groups. (2015)

2. Domains of discontinuity for Anosov representations. (2013) 

3. Freudenthal suspension theorem. (2009)

Videos

1. Talk at Low-dimensional phenomena: geometry and dynamics, Institute Henri Poincare, June 2025.

2. Lecture 1, Lecture 2 at New Trends in Teichmuller theory at ICTS, February 2025.

3. Lecture 1, Lecture 2, Lecture 3 at Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups at IHES, June 2023.

4. Talk at Workshop on discrete subgroups of Lie groups, Banff International Research Station, December 2019.

5. Lecture 1, Lecture 2, Lecture 3 at Discussion meeting on surface group representations and projective structures at ICTS, December 2018.

6. Talk at Discussion meeting on surface group representations and geometric structures at ICTS, November 2017.

7. Talk at Teichmuller Theory seminar at Rutgers-Newark, November 2017.

8. Talk at GEAR retreat 2017 at Stanford, August 2017.

9. Talk at Workshop on Geometric Group Theory and Low Dimensional Topology at ICTP, June 2016.

10. Talk at MSRI workshop for the semester long program on dynamics on moduli spaces, April 2015.

A cute (unpublished) paper I wrote as an undergraduate.