Robert Tang
Research interests
My research interests lie broadly under geometric group theory and low-dimensional topology, with connections to hyperbolic geometry, computational topology, and dynamical systems. I am interested in questions regarding combinatorial complexes such as the curve complex, mapping class groups, Teichmueller space, flat surfaces, hyperbolic 3-manifolds, and CAT(0) cube complexes.
Papers
My papers on the arXiv can be found here.
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Cubical geometry in the polygonalisation complex (with Mark Bell and Valentina Disarlo).
Preprint, December 2016 (PDF).
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Veech surfaces and simple closed curves (with Max Forester and Jing Tao).
Accepted in Israel Journal of Mathematics.
Preprint, May 2016 (PDF).
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Shadows of Teichmüller discs in the curve graph (with Richard Webb).
Accepted in International Mathematics Research Notices.
Preprint, revised December 2015 (PDF).
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Projections in the curve complex arising from covering maps.
Accepted in Pacific Journal of Mathematics.
Preprint, October 2013 (PDF).
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The curve complex and covers via hyperbolic 3-manifolds.
Geometriae Dedicata, December 2012, Volume 161, Issue 1, pp 233-237,
DOI: 10.1007/s10711-012-9703-7.
Preprint, April 2011 (PDF).
PhD Thesis
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Covering maps and hulls in the curve complex
Contains material from items 1 and 2.
June 2013 (PDF).
Software
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Tripper
A Python script for producing realisation graphs for systems of curves and arcs on a surface.
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