Research
Research interests
My research area is quantum knot invariants and hyperbolic geometry. Keywords: Jones polynomial, spin networks, volume conjecture, hyperbolic volume, Chern-Simons theory.
Agenda
Publications
- with Stavros Garoufalidis and Don Zagier, Asymptotics of classical spin networks, preprint. Arxiv 0902.3113
- A cabling formula for the colored Jones polynomial, preprint Arxiv 0807.2679
- with Stavros Garoufalidis Asymptotics of quantum spin networks at a fixed root of unity, Mathematische Annalen (2011), 1-26. Arxiv 1003.4954
- The volume conjecture for augmented knotted trivalent graphs, Algebraic and Geometric Topology, 9, 2, (2009), 691-722.Arxiv 0805.0094
- Proof of the volume conjecture for Whitehead chains, Acta. Math. Viet., 3, 33 (2008), 47-60. Arxiv 0611.5181
PhD thesis: Asymptotics of quantum spin networks, University of Amsterdam 2010. Advisors Eric Opdam and Stavros Garoufalidis.