Research interests: (low-dimensional) geometry/topology, representation theory, mathematical physics.

My expertise is in quantum knot invariants such as the Jones polynomial and relations to Chern-Simons theory and hyperbolic geometry.

Research interests: (low-dimensional) geometry/topology, representation theory, mathematical physics.

My expertise is in quantum knot invariants such as the Jones polynomial and relations to Chern-Simons theory and hyperbolic geometry.

- Quantum Gravity in Paris, April 7-10 2015
- INdAM Meeting Chromatic and Colored Structures in Geometry and Statistical Physics, Cortona May 24-30 2015
- Quantum Topology, KIAS Seoul July 15-22
- New Developments in TQFT, Aarhus July 27-31 2015
- Invariants in Low Dimensional Geometry, Gazi University in Ankara, Turkey, Aug 10-14 2015

- The degree of the colored HOMFLY polynomial, Arxiv 1501.00123
- with S. Garoufalidis, Quadratic integer programming and the slope conjecture, Arxiv 1405.5088 submitted
- with T. Dimofte, A Spectral Perspective on Neumann-Zagier, Arxiv 1403.5215
- with F. Costantino and F. Gueritaud, The volume conjecture for planar graphs. submitted.
- A slope conjecture for links, submitted, Arxiv 1306.3275.
- A cabling formula for the colored Jones polynomial, Arxiv 0807.2679

- with T. Dimofte, D. Gaiotto, RG Domain Walls and Hybrid Triangulations, Advances in Theoretical Physics, (2015) 19 135–274.
- with Stavros Garoufalidis and Don Zagier, Asymptotics of classical spin networks, Geometry & Topology, (2013) 17, 1-37. Arxiv 0902.3113
- 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

- A new MOY state sum for the colored HOMFLY polynomial, Oberwolfach Reports: Low-Dimensional Topology and Number Theory, 2014.
- with S. Garoufalidis, A generating series for Murakami-Ohtsuki-Yamada graph evaluations, Proceedings quantum topology Vietnam 2013, Arxiv 1312.2117
- Asymptotics of spin networks, Proceedings Intelligence of Low-dimensional topology, editor T. Ohtsuki 2011.
- A cabling formula for the colored Jones polynomial, Oberwolfach Reports: Low-Dimensional Topology and Number Theory, 2010, p.2101–2163.

Asymptotics of quantum spin networks, advisors Eric Opdam, Stavros Garoufalidis

Interview about my thesis work, Nieuw Archief voor Wiskunde (Dutch)

For my work on popularization of mathematics see my page on popularization