Lucy Liuxuan Zhang
SAAI String Quartet (high school years)
Department of Mathematics
University of Toronto
40 St. George Street
Canada M5S 2E4
Email: lzhang *at^ math *dot^ utoronto *dot^ ca
Office: Perimeter Institute, Room 224
Office phone: (519) 569-7600 ext. 6242
Who am I
- Ph.D. candidate in Mathematics (2007-2013)
- Advisor: Joel Kamnitzer
- CV (PDF format, updated January 2012/May 2011) ToDo: Post new version!
- Research Statement (PDF format, updated October 2010) ToDo: Post new!
Current Academic Activities
Research & Output
- Publications: Publications and Term papers ToDo: list publications here directly for now.
- Recent talks: ToDo: needs a separate page.
- All transversal gates are topological (PI QI Group Meeting, October 31, 2012).
- All transversal gates are topological (USC QI & CMT Seminar, October 12, 2012).
- All transversal gates are topological (IQI Group Meeting, June 6, 2012).
- Kitaev's quantum double models as extended topological quantum field theories (JCHS, August 1, 2011).
- Mathematics & Topological Quantum Computation (Women in Physics Canada, July 20, 2011).
- Kitaev's quantum double models & (2+1)-dimensional extended TQFTs (8th Canadian Student Conference on Quantum Information, June 17, 2011).
- Introductory talk on (2+1)D extended TQFTs and doubled topological phases (IQI Special Seminar, April 22, 2011).
- Kitaev's quantum double model for topological quantum computation: representations, higher categories and extended TQFTs (Graduate Student Seminar, U of T, April 6, 2011).
- Quantum groups and the Grothendieck ring of R (Khovanov-Lauda Categorification Learning Seminar, U of T, March 31, 2011).
- Notes (PDF, not detailed)
- [Poster] Twists arising from group automorphisms in the Kitaev model (QIP poster session a, January 10, 2011).
- Modular Tensor Categories and Quantum Double of a Finite Group (Bakalov-Kirillov Learning Seminar, U of T, October 6, 2010).
- Ribbon operators in 2D lattice anyon models (QI Group Meeting, Perimeter Institute, June 7, 2010).
- Mini-course on Quantum Groups (a series of 9 lectures -- Grad Talks, Perimeter Institute, 2009 Winter, M11-12).
- Unpublished: ToDo: clean up and upload term papers etc.
- Code repository: ToDo: translate to C++ and post my codes.
- Ongoing learning: Wishlist (books) -- Some good gifting ideas in there in case you want to get me something. ;-) [Any title with the (no hard copy) indicator; (no hard copy) titles in Books I must read section is preferred to those in Supplementary books section.]
Past Academic Activities
- Seminars I have (co-)organized/(co-)led to date:
- Memorable seminars I attended:
- Courses I audited (typically incomplete):
- Recent conferences: ToDo: needs updating.
- Poster presentation at 14th Workshop on Quantum Information Processing, National University of Singapore, January 10-14, 2011.
- Simons Conference on New Trends in Quantum Computation, Stony Brook, November 15-19, 2010.
- Duntroon Workshop on Hitchin Fibration and the Fundamental lemma, Duntroon Ontario, August 23-27, 2010.
- Low-Dimensional Topology and Categorification, Stony Brook University, June 21-25, 2010.
- Past scientific projects (blog style, boring to read):
- Mathematics, Quantum informaton and Condensed matter
- Mathematics & Quantum information
- 2012 Winter: [Research] GeoCodes.
- 2011 Fall: [Research] Kitaev's model and Defect theory.
- 2011 Summer: [Learning & Research] Extended TQFTs, Kitaev's model.
- 2011 Winter: [Learning & Research] Representation theory, Categorification, Extended TQFTs, Kitaev's model.
- 2010 Fall: [Learning & Research] MTCs-3dTQFTs-2dMFs, Topological twists in Kitaev's model using ribbon operators.
- 2010 Summer: [Learning] Representation theory, Topological twists in Kiteav's model using ribbon operators.
- 2010 Winter: [Literature study & Thinking] Quiver varieties, Topological phases, Categorification.
- 2009 Fall: [Literature study & Thinking] Algebraic geometry, Algebraic knot theory, Categorification, Quiver varieties, Topological phases etc.
- Quantum information
- 2007-2008: [Learning] Topological quantum computation (I loved it because it was cool math and highly-interdisciplinary.)
- 2007 Summer: [Coding: turned out to be reproduction of existing results, but I haven't checked my code against theirs] Surface code simulation.
- 2006-2007: [Learning] Measurement-based quantum computation, topological quantum error correction, general quantum error correction, fault tolerance.
- Quantum cryptography
- Magnetohydrodynamical turbulence at various scales
- 2003: [Research & Publication] Developed a fast correlation function algorithm with weak lensing applications in mind.
- 2002 Summer [Coding: my code was incorporated into Hugh Merz's N-body simulation]: Had some fun with writing a fast transpose library for someone else's N-body simulation using Intel assembly language. I also tried writing an FFT library, but found it a bit hard because more sophisticated loop structures, which the low-level language didn't seem to like very much, were needed.
- 2001-2002: [Learning, programming and reproducing some old results] Learned FORTRAN 90, gravitational weak lensing, convolutions and other standard algorithms; and I found it fun to be able to tell computers to do things for me. See my U of T mentorship program poster.
- Full-year: TA for PHY138Y (Physics for the Life Sciences I)
- Winter: TA for MAT185S (Linear Algebra for Engineering Science I)
- Summer 2010
- Full-summer: Marker and Math Aid for MAT237Y (Advanced Calculus)
- Full-year: TA for MAT135Y (Calculus for Life Science I)
- Full-year: Marker for MAT235Y (Calculus for Life Science II)
- Fall: Marker for MAT237Y (Advanced Calculus)
- Winter: TA for MAT157Y (Analysis I)
- Winter: U of T Mentorship Program -- supervised 3 gifted high school students on an exploration of Topology, Algebra and Category theory (Towards TQFTs).
- Poster session: Thursday, May 26, 4-6pm @ UC West Hall (open to public).
- Full-year: TA for MAT135F and MAT 136S
- 2012: Successful private violin studio, with 4 students and a waiting list. Unfortunately, I am too busy to teach right now.
People I've worked with
Researchers I like for various reasons
- Senior people:
- New generation:
Online Math Resources
- Sources of inspirations/agreement
- Math Blogs (in order of interest)
- Mathematical Repository
- Workshops and Summer Schools Listing
- Math Jobs
- Math books
- Math movies
- Math/Physics musicians
Outside of Math and Physics