selected publications 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.
principal investigator on Quantum Invariants and Geometric Structures awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2021
teaching activities MATH221 Hnr-sev Variable Calculus Instructor MATH304 Linear Algebra Instructor MATH308 Differential Equations Instructor MATH308 Differential Equations Instructor MATH323 Hnr-linear Algebra Instructor MATH622 Differential Geometry I Instructor MATH636 Topology I Instructor MATH662 Seminar In Algebra Instructor MATH684 Prof Internship Instructor MATH685 Directed Studies Instructor MATH689 Sptp:quantum Top Instructor MATH691 Research Instructor
education and training Ph.D. in Mathematics, Rutgers University - (New Brunswick, New Jersey, United States) 2013 B.S. in Mathematics, Zhejiang University - (Hangzhou, Zhejiang, China) 2005