Yang, Tian Assistant Professor

academic article

• Yang, T. (2023). A relative version of the Turaev-Viro invariants and the volume of hyperbolic polyhedral 3-manifolds. Journal of Topology.  16(2), 650-678.
  
• Wong, K. H., & Yang, T. (2023). Relative Reshetikhin-Turaev Invariants, Hyperbolic Cone Metrics and Discrete Fourier Transforms I. 400(2), 1019-1070.
  
• Belletti, G., Detcherry, R., Kalfagianni, E., & Yang, T. (2022). GROWTH OF QUANTUM 6j-SYMBOLS AND APPLICATIONS TO THE VOLUME CONJECTURE. Journal of Differential Geometry.  120(2), 199-229.
  
• Yang, T. (2021). Recent Progresses on the Volume Conjectures for Reshetikhin-Turaev and Turaev-Viro Invariants. Acta Mathematica Vietnamica.  46(2), 389-398.
  
• Maloni, S., Palesi, F., & Yang, T. (2021). ON TYPE-PRESERVING REPRESENTATIONS OF THRICE PUNCTURED PROJECTIVE PLANE GROUP. Journal of Differential Geometry.  119(3), 421-457.
  
• Luo, F., & Yang, T. (2018). Volume and rigidity of hyperbolic polyhedral 3-manifolds. Journal of Topology.  11(1), 1-29.
  
• Detcherry, R., Kalfagianni, E., & Yang, T. (2018). Turaev-Viro invariants, colored Jones polynomials, and volume. Quantum Topology.  9(4), 775-813.
  
• Chen, Q., & Yang, T. (2018). Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants. Quantum Topology.  9(3), 419-460.
  
• Yang, T. (2016). On type-preserving representations of the four-punctured sphere group. Geometry and Topology.  20(2), 1213-1255.
  
• Roger, J., & Yang, T. (2014). The skein algebra of arcs and links and the decorated Teichmller space. Journal of Differential Geometry.  96(1), 95-140.
  
• Yang, T. (2013). A BatalinVilkovisky algebra structure on the Hochschild cohomology of truncated polynomials. Topology and its Applications.  160(13), 1633-1651.
  
• Luo, F., Tillmann, S., & Yang, T. (2012). Thurstons spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3manifolds. Proceedings of the American Mathematical Society.  141(1), 335-350.
  
• Yang, T. (2011). A deformation of Penner's simplicial coordinate. Journal of Differential Geometry.  89(3), 529-551.