Publications

• d-pleated surfaces and their shear bend coordinates
  with S. Maloni, F. Mazzoli, and T. Zhang, arXiv:2305.11780 [ Abstract | PDF ]

• Pressure metrics for cusped Hitchin components
  with H. Bray, R. Canary, and L.-Y. Kao, Adv. Math. 435 (2023), Paper No. 109352, 24 pp. [ Abstract | PDF | Journal]

• A closed ball compactification of a maximal component via cores of trees
  with C .Ouyang, and A. Tamburelli, to appear Algebr. Geom. Topol.,  arXiv:2110.06106 [ Abstract | PDF ]

• Counting, Equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations
  with H. Bray, R. Canary, and L.-Y. Kao, J. Reine Angew. Math. (Crelles) 791 (2022), 1–51 [ Abstract | PDF | Video | Journal ]

• Correlation of the renormalized Hilbert length for convex projective surfaces
  with X. Dai, Ergodic Theory Dynam. Systems, 43(9) (2023), 2938–2973 [ Abstract | PDF | Video | Journal ]

• Sequences of Hitchin representations of Tree-type
  arXiv:1910.13585 [ Abstract | PDF | Video ]

• Positive configurations of flags in a building and limits of positive representations
  Math. Z. 293 (2019), no. 3-4, 1337–1368 [ Abstract | PDF | Journal ]

• Positively ratioed representations
  with T. Zhang, Comment. Math. Helv. 94 (2019), no. 2, 273–345 [ Abstract | PDF | Journal ]

Expository notes (not for publication, comments welcome!)

• An introduction to Theta-positivity, for Workshop "Geometric aspects of Higgs bundles" [ PDF ]

• Semisimple Lie algebras and applications to symmetric spaces, for Workshop "Sp(4,R)-Anosov representations" [ PDF ]