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Christine Ruey Shan Lee

Christine Ruey Shan Lee

Assistant Professor
Department of Math and Statistics

Education

  • 2015 Michigan State University, East Lansing, MI, USA
    Ph.D. in Mathematics
  • 2008 The University of Manchester, Manchester, UK
    M.Sc. with distinction in Pure Mathematics
  • 2007 California Institute of Technology, Pasadena, CA, USA
    B.S. in Mathematics

Research Interests

Quantum Knot Invariants and 3-Manifolds

Publications and Preprints

  • Cancellations in the degree of the colored Jones polynomial, with Roland van der Veen, available at arXiv:2006.01303.

  • On Khovanov homology and related invariants, with Carmen Caprau, Nicolle Gonz¨alez, Adam Lowrance, Radmila Sazdanovi´c, and Melissa Zhang, available at arXiv:2002.05247, submitted.

  • Stability and Triviality of the Transverse Invariant from Khovanov Homology, with Diana Hubbard, Topology and Its Applications, DOI:10.1016/j.topol.2020.107146, 2020.

  • The Slope Conjecture for Montesinos knots, with Stavros Garoufalidis and Roland van der Veen, accepted for publication in the International Journal of Mathematics.

  • Colored Jones polynomials without tails, with Roland van der Veen, available at arXiv:1806.04565, submitted.

  • Jones slopes and coarse volume of near-alternating links, available at arXiv:1708.04900, to appear in Communications in Analysis and Geometry.

  • Normal and Jones surfaces of knots, with Efstratia Kalfagianni, Journal of Knot Theory and its Ramifications, 27, Issue 6, 2018.

  • A trivial tail homology for non A-adequate links, Algebraic and Geometric Topology, 18, no. 3, p. 1481–1513, 2018.

  • Slopes for pretzel knots, with Roland van der Veen, New York Journal of Mathematics, 22, p. 1339–1364, 2016. 2

  • On 3-braids and L-space knots, with Faramarz Vafaee, available at arXiv:1911.01289, submitted.

  • Stability properties of the colored Jones polynomial, Journal of Knot Theory and its Ramifications, 28, No. 08, 2019.

  • Crosscap numbers and the Jones polynomial, with Efstratia Kalfagianni, Advances in Mathematics, 286, p. 308-337, 2016. On the degree of the colored Jones polynomial, with Efstratia Kalfagianni, Acta

  • Mathematica Vietnamica, Proceedings of Quantum Topology and Hyperbolic Geometry in Nha Trang, May 2013, 39(4), 2014.

Courses

  • MA 126: Calculus II
  • MA 227: Calculus III

  • MA 434: Topology