Christine Ruey Shan

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

2018-present Assistant professor (tenure-track), University of South Alabama

2015-2018 NSF postdoctoral fellow and instructor, University of Texas at Austin

2017 Fall Visiting scholar, the Max Planck Institute for Mathematics

2009-15 Teaching and research assistant, Michigan State University

Research Interests: Knot theory; quantum topology; 3-manifolds

Publications

10. A note on the transverse invariant from Khovanov homology, with Diana Hubbard, available at arXiv:1807.04864. 9. The Slope Conjecture for Montesinos knots, available at arXiv:1807.00957. 8. Colored Jones polynomials with no tail, with Roland van der Veen, available at arXiv:1806.04565. 7. Jones slopes and coarse volume of near-alternating links, available at arXiv:1708.04900, submitted. 6. Normal and Jones surfaces of knots, with Efstratia Kalfagianni, Journal of Knot Theory and its Ramiﬁcations, 27, Issue 6, 2018. 5. A trivial tail homology for non A-adequate links, Algebraic and Geometric Topology, 18, no. 3, p. 1481–1513, 2018.

1 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 Math- ematica Vietnamica (Proceedings of Quantum Topology and Hyperbolic Geometry in Nha Trang, May 2013), 39(4), 2014.

Preprints

• 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 Dissertation Comple- tion Fellowship.

2009-11 Geometry/Topology Research Training Group Fellowship, supported by an NSF/RTG grant.

Recent Invited and Conference Talks

• A knot with no tail, April 20th, 2018, Topology and Geometry Semiar, Claremont Mckenna College, Claremont, CA. • A knot with no tail, April 20th, 2018, Geometry Semiar, Texas A & M University, College Station, TX. • Understanding Quantum link invariants via surfaces in 3-manifolds, March 12th, 2018, Modular forms and Quantum Knot Invariants, Workshop at the Banﬀ International Research Station, Alberta, Canada. • Understanding Quantum link invariants via surfaces in 3-manifolds, February 27th, 2018, Colloquium, University of South Alabama, Mobile, AL. • Understanding Quantum link invariants via surfaces in 3-manifolds, February 23rd, 2018, PATCH Seminar, Temple University, Philadelphia, PA. • Understanding Quantum link invariants via surfaces in 3-manifolds, January 24th, 2018, Colloquium, Louisiana State University, Baton Rouge, LA.

2 • Stability properties of the colored Jones polynomial, Nov 9th, 2017, Algebra and Number Theory Seminar, University College Dublin, Dublin, Ireland. • The colored Jones polynomial and surfaces in 3-manifolds, Sep 28th, 2017, Séminaire Topologies, Institut MontpelliérainAlexander Grothendieck, Montpellier, France. • 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, Michi- gan State University, East Lansing, MI. • Slopes for near-adequate knots, January 6th, 2017, Special session on Women in Topol- ogy, Joint Mathematics Meeting, Atlanta, GA. • A trivial tail homology for non A-adequate links, December 4th, 2016, Session on Geo- metric 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.

Teaching Experience

2017 Spring Instructor, University of Texas at Austin, M367K: Topology I.

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, Primary instructor MTH 132: Calculus I – Primary instructor MTH 124: Survey of Calculus I – Primary instructor

3 Service & Outreach

2018 Spring A Mentor of the Directed Reading Program (DRP), University of Texas at Austin.

Student: David L. Green Title of presentation: A Tessellation Theorem for Hyperbolic Space

2018 February 6th: Knots vs. Diagrams: The Jones polynomial and the Tait conjectures, a talk for the undergraduate Math Club at the University of Texas at Austin.

2018 March 31st: Network ﬂows and applications, University of Texas Saturday Morning Math Group presentation

2018 January 11-12th: Co-organizer of the special session “Quantum link invariants, Khovanov homology, and low-dimensional manifolds” at the AMS Joint Mathematics Meeting, San Diego, CA.

2017 Spring April 5th #NotSoMath: The pigeon in the hole, a general audience talk on the pigeonhole principle.

2017 Spring Participant of the Quantum Topology and Categoriﬁcation Seminar of the Math department, University of Texas at Austin.

2017 Spring A Mentor of the Directed Reading Program (DRP), University of Texas at Austin.

Student: Helen Smith Title of presentation: The Feynman path integral.

2015 Spring Graduate student volunteer for the Middle School Girls Math & 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

4 • Programming: C++, Python, Mathematica • Language in order of fluency: English (native), Mandarin (fluent), and French (profi- cient).