Renaud Detcherry

	Postdoctoral Fellow, Department of Mathematics Michigan State University East Lansing, MI 48824 Office: Wells Hall C230 Email: detcherry@math.msu.edu

Publications

• Asymptotic formulae for curve operators in TQFT
  Geometry and Topology, Vol 20 (2016), no. 6, 3057-3096
• Geometric quantization and asymptotics of pairings in TQFT, 2015, preprint
  To appear in Annales Scientifiques de l'Ecole Normale Supérieure

Prepublications

• Turaev-Viro invariants, colored Jones polynomials and volume, 2017, preprint
  with Efstratia Kalfagianni and Tian Yang
  submitted
• Gromov norm and Turaev-Viro invariants, 2017, preprint data
  with Efstratia Kalfagianni
  submitted
• Quantum representations and monodromies of fibered links, 2017, preprint
  with Efstratia Kalfagianni
  submitted
• Growth of Turaev-Viro invariant and (p,2)-cabling,
  In preparation

PhD thesis

Semi-classical analysis of curve operators in TQFT defended in July 2015.
My thesis, done under the supervision of Julien Marché, studies the asymptotics of quantum invariants.
A first part derives from skein calculus some asymptotic formulae for matrix coefficients of curve operators in TQFT.
A second part uses geometric quantization and semi-classical analysis to establish an asymptotic expansion for a large class of quantum invariants which is closely related to the Witten conjecture.