Publications

• (with S. Boyer and C. Gordon) Slope detection and toroidal 3-manifolds, 60 pgs, 2021, submitted. preprint
  • Here is the slide of the talk I gave at the CMS summer meeting. Some of the results in the paper are discussed there.
• (with S. Boyer and C. Gordon) Cyclic branched covers of Seifert links and properties related to the ADE link conjecture, 54 pgs,
  Journal of the London Mathematical Society, to appear. preprint
• (with S. Boyer and C. Gordon) Recalibrating \(\mathbb{R}\)-order trees and \({\rm Homeo}_+(S^1)\)-representations of link groups, 43 pgs,
  Journal of Topology, to appear. Journal link | preprint
• (with S. Boyer and C. Gordon) JSJ decompositions of knot exteriors, Dehn surgery and the L-space conjecture, 31 pgs,
  Selecta Mathematica, to appear. Journal link | preprint
  • Here is the slide of a talk I gave in 2023 based on the results in this paper.
• (with J. Baldwin and S. Sivek) Khovanov homology and the cinquefoil, 22 pgs,
  Journal of the European Mathematical Society, 27 (2025), no. 6, 2443-2465. Journal link | preprint
• Euler class of taut foliations and Dehn filling, 33 pgs,
  Communications in Analysis and Geometry, 31 (2023), no. 7, 1749-1782. Journal link | preprint
  • Here is the note of a talk at the GaTO seminar based on the results of this paper.
• (with S. Boyer) Taut foliations in branched cyclic covers and left-orderable groups, 37pgs,
  Transactions of the American Mathematical Society, 372 (2019), no. 11, 7921 - 7957. Journal link | preprint
• Left-orderability and cyclic branched coverings, 15 pgs,
  Algebraic & Geometric Topology, 15 (2015), no. 1, 399-413. Journal link | preprint

Undergraduate Research Supervision:

• (with S. Ryu, S. Kim, J. White, H. Zhang), Geometric analysis of insect wing vein network, Proceedings of the ASME 2022 Fluids Engineering Division Summer Meeting.   Journal link