Math

Publications and Preprints

  1. Alexander Invariants of Tangles via Expansions. Phd Thesis 2018.   Version 1,   Code.pdf,   Code.nb
  2. On Meta-Monoids and the Fox-Milnor Condition. October 2017.   arXiv:1710.08993
  3. Proof of a Conjecture of Kulakova et al. Related to the \(sl_2\) Weight System, with D. Bar-Natan. European Journal of Combinatorics 45 (2015) 65-70.   arXiv:1401.0754
  4. Braid Calculator, with Fedor Duzhin, Andrew Kricker, Terence Ng. Proceedings of URECA@NTU 2007-08.   Report

Talks

  • 2018/06   On \(\Gamma\)-calculus and the Fox-Milnor condition. Phd defense, University of Toronto, Canada.   Slides ,   Handout
  • 2017/12   On Meta-monoids and the Alexander Polynomial, Knots in Washington, George Washington University, US.   Handout
  • 2016/04   On the \(sl_2\) Weight System and Intersection Graphs, Knots in the Triangle, University of North Carolina, US.   Handout
  • 2016/02   The Jones Polynomial, Graduate Student Seminar, University of Toronto, Canada
  • 2015/10   On the \(sl_2\) Weight System and Intersection Graphs, AMS Meetings, Loyola University, Chicago, US.

Notes

  1. On Representations of \(sl_2\), essay for an algebra course.   ClebschGordan.pdf
  2. On Classical Topology of 3-Manifolds, M.Sc. essay.   Essay.pdf
  3. On Spectral Sequences, essay for an algebra course.   SpectralSequences.pdf
  4. The Knuth relations, essay for a combinatorics course.   Knuth.pdf
  5. On the Discretization of the Atiyah-Singer Index Theorem, project report.   DiscretizedAS.pdf
  6. On the Coloured HOMFLY Polynomial, Honours Bachelor thesis.   coloredHOMFLY.pdf
  7. On the Transcendence of \(e\), essay for a math exposition course.   Transcendental.pdf