Christine Ruey Shan Lee
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.
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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.
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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.
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The Slope Conjecture for Montesinos knots, with Stavros Garoufalidis and Roland van der Veen, accepted for publication in the International Journal of Mathematics.
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Colored Jones polynomials without tails, with Roland van der Veen, available at arXiv:1806.04565, submitted.
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Jones slopes and coarse volume of near-alternating links, available at arXiv:1708.04900, to appear in Communications in Analysis and Geometry.
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Normal and Jones surfaces of knots, with Efstratia Kalfagianni, Journal of Knot Theory and its Ramifications, 27, Issue 6, 2018.
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A trivial tail homology for non A-adequate links, Algebraic and Geometric Topology, 18, no. 3, p. 1481–1513, 2018.
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Slopes for pretzel knots, with Roland van der Veen, New York Journal of Mathematics, 22, p. 1339–1364, 2016. 2
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On 3-braids and L-space knots, with Faramarz Vafaee, available at arXiv:1911.01289, submitted.
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Stability properties of the colored Jones polynomial, Journal of Knot Theory and its Ramifications, 28, No. 08, 2019.
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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
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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
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MA 434: Topology