Publications

• (with S. Boyer, C. Gordon and D. McCoy) On 3-manifolds admitting co-orientable taut foliations, but none with vanishing Euler class, 22pgs, 2025, preprint
• (with S. Boyer and C. Gordon) Slope detection and toroidal 3-manifolds, 60 pgs, 2021, submitted. preprint


• (with S. Boyer and C. Gordon) Cyclic branched covers of Seifert links and properties related to the ADE link conjecture, 55 pgs,
  Journal of the London Mathematical Society, 111 (2025), no. 6, Paper no. e70178, 55pp. 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, 31 (2025), no. 1, Paper no.3, 31pp. 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
• (with S. Boyer and C. Gordon) Recalibrating \(\mathbb{R}\)-order trees and \({\rm Homeo}_+(S^1)\)-representations of link groups, 40 pgs,
  Journal of Topology, 17 (2024), no. 4, Paper no. e70005, 40pp. 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