My research lies at the intersection of quantum topology, skein theory, cluster algebras, Teichmüller theory, low-dimensional topology, representation theory, and quantum algebra.
Publications
Z. Wang, The classical limit of stated SLn-skein modules, Journal of Knot Theory and Its Ramifications (2026)
Z. Wang, On Frobenius algebras obtained from stated skein algebras, Topology and its Applications (2026)
H. Karuo, Z. Wang, Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles, Algebraic & Geometric Topology (2026), 1095–1114
H. Karuo, Z. Wang, Center of stated SL(n)-skein algebras, Transactions of the American Mathematical Society (2026)
Z. Wang, Finiteness and dimension of stated skein modules over Frobenius, Journal of Knot Theory and Its Ramifications (2025), 2550089
Z. Wang, Kauffman bracket intertwiners and the volume conjecture, Algebraic & Geometric Topology 25.4 (2025), 2143–2177
Z. Wang, Representation-reduced stated skein modules and algebras, Journal of Algebra (2025) 661, 831-852
Z. Wang, Stated SLn-skein modules, roots of unity, and TQFT, accepted by Israel Journal of Mathematics (arXiv:2401.09995)
Z. Wang, On stated SLn-skein modules: the splitting map and the Frobenius homomorphism, accepted by Indiana University Mathematics Journal.
H. K. Kim, Z. Wang, Naturality of SLn quantum trace maps for surfaces, accepted by Selecta Mathematica.
Preprints
P. Cao, M. Huang, Z. Wang, Quantum cluster algebra realization for stated SLn-skein algebras and rotation-invariant bases for polygons, arXiv:2605.12114 (2026)
Z. Sun, Z. Wang, Coordinates for SL3-web basis elements in closed surfaces, arXiv:2602.19445 (2026)
M. Huang, Z. Wang, Quantum cluster realization for projected stated SLn-skein algebras, arXiv:2509.25938 (2025)
Z Wang, Centers and representations of quantum Teichmüller spaces, arXiv:2508.19727 (2025)
H. Karuo, Z. Wang, Centers of stated SL(n)-skein algebras: even roots of unity, arXiv:2509.18950 (2025)
H. K. Kim, Thang T. Q. Lê, Z. Wang, Frobenius homomorphisms for stated SLn-skein modules, arXiv:2504.08657 (2025)
H. K. Kim, Z. Wang, The Unicity Theorem and the center of the -skein algebra, arXiv:2407.16812 (2024)