Research Papers

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• Intersection number of holonomy varieties of \(\mathbb{C}{\rm P}^1\)-structures.
    preprint updated in August 2025

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Bending Teichmüller spaces and character varieties
  revised in October 2025

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• Realisation of bending measured laminations by Kleinian surface groups (with Ken'ichi Ohshika)
    IMRN   2023 Issue 19, 16674–16707

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Bers' simultaneous uniformization and the intersection of Poincare holonomy varieties     71 pages
  GAFA   2023 (33), 1379-1453 (open access)

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• Neck-pinching of \(\mathbb{C}{\rm P}^1\)-structures in the \({\rm PSL}(2, \mathbb{C})\)-character variety   65pages  
  Journal of Topology   2024 (open access)

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On Thurston's parametrization of \(\mathbb{C}{\rm P}^1\)-structures
  In the Tradition of Thurston: Geometry and Topology 2020 pp 241 - 254.

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• Holonomy map fibers of \(\mathbb{C}{\rm P}^1\)-structures in moduli space (with Subhojoy Gupta)
    Journal of Topology   (2015)  

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\(2\pi\)-graftings and complex projective structures with generic holonomy
  GAFA   2017, pp 1017 - 1069.


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• \(2\pi\)-graftings and complex projective structures I
    Geometry & Topology   (2015) pp 3233 - 3287.

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Complex projective structures with Schottky holonomy
  GAFA   2012   pp 267-310.  

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• A Schottky decomposition theorem for complex projective structures
    Geometry & Topology   (14) 2010   pp117-151.