Publications

• (with S. Boyer and C. Gordon) Cyclic branched covers of Seifert links and properties related to the ADE link conjecture, 54 pgs, 2024, submitted. preprint
• (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) Recalibrating \(\mathbb{R}\)-order trees and \({\rm Homeo}_+(S^1)\)-representations of link groups, 43 pgs,
  Journal of Topology, to appear. 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. 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, 21 pgs,
  Journal of the European Mathematical Society, to appear. 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