Research

My research interests are Geometric Group Theory, Topology, and Differential Geometry.

Especially, my research focuses on Riemannian metric with nonpositive sectional curvature and hyperbolicity of branched coverings. 

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In Progress

• Codimension two complements in Hyperbolic Products (joint with Jean-Francois Lafont, Nicholas Miller, Barry Minemyer)- [arXiv]

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Submitted

• Small Cancellation for Random Branched Covers of Groups (joint with Jean-Francois Lafont, Rachel Skipper) -Submitted [arXiv] 

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Published papers

• Derivation of Schubert normal forms of 2-bridge knots from (1,1)-diagrams (joint with Sang Youl Lee and Hyun-Jong Song)

• Aspects of Hyperbolicity in Groups and Spaces-PhD Thesis