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Research Interests:
Quantum topology and hyperbolic geometry, especially
the asymptotic behavior of quantum invariants of links and 3-manifolds and their relationship with hyperbolic geometry;
the adjoint twisted Reidemeister torsion of hyperbolic 3-manifolds;
the rigidity of hyperbolic cone structure
Publications & Preprints:
(with Fathi Ben Aribi),
The Andersen-Kashaev volume conjecture for FAMED geometric triangulations
(with Tushar Pandey),
(with Tushar Pandey),
Geometry of fundamental shadow link complements and application to the 1-loop conjecture(with Tushar Pandey),
(submitted to Quantum Topology).
(with Tian Yang),
Asymptotic expansion of relative quantum invariants
(with Tian Yang),
Adjoint Twisted Reidemeister torsion and Gram matrices,
Advances in Mathematics 438 (2024) 109470.
(with Tian Yang),
Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms II
(with Tian Yang),
Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms I,
Commun. Math. Phys. (2022). https://doi.org/10.1007/s00220-022-04613-5
(with Tian Yang),
On the Volume conjecture for hyperbolic Dehn-filled 3-manifolds along the figure eight knot
Quantum Topology (2025), published online first (https://ems.press/journals/qt/articles/14298880)
Volume conjecture, geometric decomposition and deformation of hyperbolic structures
Asymptotics of some quantum invariants of the Whitehead chains
(with Thomas Kwok-Keung Au)
Algebraic & Geometric Topology 22-1 (2022), 1-53. DOI 10.2140/agt.2022.22.1
(with Thomas Kwok-Keung Au)
Asymptotic behavior of colored HOMFLY polynomials of figure eight knot
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