071352/Suggested Topics for Student Lectures
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The Choices  
Karene  
Siddarth  The MelvinMortonRozansky (ex)Conjecture. 
Zavosh  Knot Floer homology 
Zsuzsi  Vogel's universal algebra 
Students must choose their lecture topics in coordination with Dror, and the sooner this is done, the better.
 More on ChernSimons theory, Feynman diagrams and configuration space integrals.
 More on the Milnor Moore Theorem.
 Explicit computations for torus knots, Hopf chains, etc.
 Higher skein modules following Andersen and Turaev, arXiv:math.GT/9812071.
 Homotopy invariants of links.
 Vassiliev invariants for braids.
 Goussarov's "interdependent modifications".
 The MelvinMortonRozansky (ex)Conjecture.
 Finite type invariants of 3manifolds.
 The LMO invariant and the Århus integral.
 Hutchings' step by step integration.
 The exceptional Lie algebras and finite type invariants.
 More on the selflinking number.
 BF theories.
 Finite type invariants of other kinds of objects (Legendrian and transverse knots, planar curves, etc.).
 Gropes and grope cobordism.
 The Lie algebra and the Alexander polynomial.
 Gauss diagram formulas.
 Claspers and clovers.
 The Kalfagianni  Lin papers on Seifert surfaces and Vassiliev invariants.
 RozanskyWitten theory.
 A detailed study of following Kneissler.
 Rozansky's rationality (ex)conjecture.
 "Detecting Knot Invertibility" following Kuperberg.
 Multiple numbers and the Drinfel'd associator.
 "Uniqueness" of a wellbehaved universal finite type invariant.
 Finite type invariants not coming from Lie algebras, following Vogel and Lieberum.
 The group of knots modulo equivalence.
 Vogel's "universal Lie Algebra".
 Anything else from VasBib.
 Anything else from anywhere else.