Research
Research
Research interests:
• Geometric structures on 2 and 3-manifolds, Kleinian groups, low dimensional topology.
• Hyperbolic and Anti-de Sitter geometry.
• (Higher) Teichmüller Theory.
List of publications:
• Higher signature Delaunay decompositions, with J. Danciger, J.-M. Schlenker (2016), pdf, arXiv:1602.03865.
• On the character varieties of the three-holed projective plane, with F. Palesi (2015), pdf, arXiv:1509.08341.
• Polyhedra inscribed in a quadric, with J. Danciger, J.-M. Schlenker (2014), pdf, arXiv:1410.3774.
• On the character varieties of the four-holed sphere, with F. Palesi, S. P. Tan,
Groups, Geometry, and Dynamics 9 (3) (2015), 737-782.
• The asymptotic directions of pleating rays in the Maskit embedding, pdf,
Conformal Dynamics and Hyperbolic Geometry, AMS Contemporary Mathematics, (2012).
• Top terms of polynomial traces in Kra's plumbing construction, with C. Series, pdf,
Algebraic and Geometric Topology 10 (3) (2010), 1565-1607.
• Combinatorial methods on actions on character varieties, Oberwolfach Report No. 07/2014.
• Slices of Quasifuchsian space, pdf, Ph.D. thesis (2013).
Preprints:
• Induced metrics on convex hulls of quasicircles, with F. Bonsante, J. Danciger, J.-M. Schlenker (2017), in preparation.
• On the real character varieties of the three-holed projective plane, with F. Palesi, T. Yang (2017), in preparation.
• The geometry of quasi-Hitchin symplectic Anosov representations, with D. Alessandrini, A. Wienhard (2017), in preparation.
• c-plumbing construction, (2015), in preparation.
Slides:
• Polyhedra inscribed in a hyperboloid and AdS geometry, pdf, (2014).
• Pleating Constructions in Quasifuchsian space, pdf, (2011).
• Asymptotic direction of the pleating rays in the Maskit embedding, pdf, (2011).
• The trace formula for a representation of the fundamental group of a surface in PSL(2, C), pdf, (2009).
Poster: