CURRICULUM VITAE Christine Ruey Shan Lee Department of mathematics, Email: [email protected] The University of Texas at Austin, Website: www.ma.utexas.edu/users/clee 2515 Speedway, RLM 8.100, Austin, TX 78712 Education 2015 Michigan State University, East Lansing, MI, U.S.A. Ph.D. in Mathematics, May 2015 Advisor: Efstratia Kalfagianni Dissertation title: Jones-type link invariants and applications to 3-manifold topology. 2008 The University of Manchester, Manchester, UK M.Sc. with distinction in Pure Mathematics, September 2008 2007 California Institute of Technology, Pasadena, CA, U.S.A. B.S. in Mathematics, June 2007 Academic Employment 2015- NSF postdoctoral fellow and instructor, University of Texas at present Austin, Austin, TX. 2017 Fall Visiting scholar, the Max Planck Institute for Mathematics, Bonn, Germany. 2009-15 Teaching and research assistant, Michigan State University, East Lansing, MI. Research Interests: Knot theory; quantum topology; 3-manifolds Publications 7. Jones slopes and coarse volume of near-alternating links, available at arXiv:1708.04900. 6. Normal and Jones surfaces of knots, with Efstratia Kalfagianni, available 1 at arXiv:1702.06466, submitted. 5. A trivial tail homology for non A-adequate links, accepted for publication in Algebraic and Geometric topology, available at arXiv:1611.00686. 4. Slopes for pretzel knots, with Roland van der Veen, New York Journal of Mathematics, 22, p. 1339{1364, 2016. 3. Stability properties of the colored Jones polynomial, available at arXiv:1409.4457, submitted. 2. Crosscap numbers and the Jones polynomial, with Efstratia Kalfagianni, Advances in Mathematics, 286, p.308-337, 2016. 1. 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. Preprints • Tangle replacements and Jones slopes for Montesinos knots, with Stavros Garoufalidis and Roland van der Veen, in preparation. • Some computations on the transverse invariant from Khovanov homology, with Diana Hubbard, available at https://www.ma.utexas.edu/users/clee/ TransverseComp.pdf • On 3-braids and L-space knots, with Faramarz Vafaee, available at https: //www.ma.utexas.edu/users/clee/3braidpaper.pdf Awards and Fellowships 2015-18 NSF Postdoctoral Fellowship MSPRF-DMS 1502860. 2014 Michigan State University College of Natural Science Disser- tation Completion Fellowship. 2009-11 Geometry/Topology Research Training Group Fellowship, sup- ported by an NSF/RTG grant. Recent Invited and Conference Talks 2 • Stability properties of the colored Jones polynomial, Nov 9th, 2017, Al- gebra and Number Theory Seminar, University College Dublin, Dublin, Ireland. • The colored Jones polynomial and surfaces in 3-manifolds, Sep 28th, 2017, S´eminaireTopologies, Institut Montpelli´erainAlexander Grothendieck. • The colored Jones polynomial and surfaces in 3-manifolds, Aug 21st, 2017, Oberwolfach Workshop in Low-dimensional Topology and Number Theory, Oberwolfach, Germany. • Jones slopes and coarse volume for near-alternating links, May 6th, 2017, Special session on Invariants in Low-dimensional Topology, Spring Eastern Sectional Meeting, New York, NY. • Jones slopes and Murasugi sums of links, March 22nd, 2017, Virtual Seminar, Louisiana State University, Baton Rouge, LA. • Jones slopes and Murasugi sums of links, February 20th, 2017, Geometry and Topology Seminar, Georgia Institute of Technology, Atlanta, CA. • Jones slopes and Murasugi sums of links, February 9th, 2017, Topology Seminar, Michigan State University, East Lansing, MI. • Slopes for near-adequate knots, January 6th, 2017, Special session on Women in Topology, Joint Mathematics Meeting, Atlanta, GA. • A trivial tail homology for non A-adequate links, December 4th, 2016, Session on Geometric Group Theory and Topology in Low Dimensions, CMS Winter Meeting, Niagara Falls, ON, Canada. • Stability in the categorification of the colored Jones polynomial, October 9th, 2016, Special session on Floer theoretic invariants of 3-manifolds and knots, University of Denver, Denver, CO. • Quantum knot invariants and 3-manifolds, August 9th, 2016, Workshop on knot theory and related topics, RIMS, Kyoto, Japan. • The colored Jones polynomial and boundary slopes of pretzel knots, July 19th, 2016, Knots in Hellas, Ancient Olympia, Greece. • Slope conjectures for pretzel knots, April 20th, 2016, Topology Seminar, California Institute of Technology, Pasadena, CA. 3 Teaching Experience 2017 Instructor, University of Texas at Austin, M367K: Topology I. Spring 2011-15 Teaching Assistant, Michigan State University MTH 869: Geometry and Topology II { Recitation instructor MTH 133: Calculus II { Recitation instructor MTH 234: Multivariable Calculus { Recitation instructor, Pri- mary instructor MTH 132: Calculus I { Primary instructor MTH 124: Survey of Calculus I { Primary instructor Service & Outreach 2018 January 11-12th: Co-organizer of the special session \Quan- tum link invariants, Khovanov homology, and low-dimensional manifolds" at the AMS Joint Mathematics Meeting, San Diego, CA. 2017 April 5th #NotSoMath: The pigeon in the hole, a general Spring audience talk on the pigeonhole principle. #NotSoMath is a series of events held every other month at the public venue the North Door in Austin. An event consists of 2 or 3 talks, each of about 20-30 minutes by mathematicians aimed at the general public. Here is a current link to the latest event. http://do512.com/events/2017/10/4/not-so-math, and a link to the math books on sale at the event I presented. http://library.austintexas.gov/event/notsomath-386771 Sample titles of talks: The mathematics of gerrymandering by Anton Dochertmann (Texas State), Cryptography and Security by Lubjuana Behsaj (UT), Mathsplaining by Pedro Fernando Morales-Almazan (UT). 4 2017 Participant of the Quantum Topology and Categorification Spring Seminar of the Math department, University of Texas at Austin. 2016-17 A Mentor of the Directed Reading Program (DRP), University Spring of Texas at Austin. Student: Helen Smith Title of presentation: The Feynman path integral. 2015 Graduate student volunteer for the Middle School Girls Math Spring & Science day, Michigan State University 2014-15 Co-organizer of the Graduate Student Geometry/Topology Seminar of the Math department, Michigan State University 2013-15 Co-founder and Organizer of the Math Department Tea Time, Michigan State University Referee Transactions of the AMS Proceedings of the AMS The New York Journal of Mathematics Skills • Programming: C++, Python, Mathematica • Language: I am fluent in English and Mandarin and proficient in French. 5.